WEBVTT - How long is a photon?

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<v Speaker 1>Hey, Daniel, When you think about a photon, what image

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<v Speaker 1>comes to mind? Oh? Depends on what what you've been

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<v Speaker 1>smoking that day?

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<v Speaker 2>Yes, and also on the context. Are we talking about

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<v Speaker 2>light from distant stars or rainbows or single photon lasers

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<v Speaker 2>or what?

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<v Speaker 1>What? Aren't they all the same? Like a photon is

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<v Speaker 1>a photon, isn't it?

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<v Speaker 2>Nobody really knows what a photon is. There's something weird

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<v Speaker 2>and mysterious we might never fully understand.

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<v Speaker 1>So you're just gonna leave us in the dark. You're

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<v Speaker 1>not gonna shed any light on it.

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<v Speaker 2>That's as bright as I can be on the topic.

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<v Speaker 1>I am wore handmade cartoonists and the author of Oliver's

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<v Speaker 1>Great Big Universe.

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<v Speaker 2>Hi, I'm Daniel. I'm a particle physicist and a professor

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<v Speaker 2>at UC Irvine, and I'm still hunting for a brilliant

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<v Speaker 2>explanation about photons.

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<v Speaker 1>I thought brilliance was your job description. Isn't it your

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<v Speaker 1>job to provide that brilliance.

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<v Speaker 2>My job is to hunt for the brilliance, to try

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<v Speaker 2>to mine the truth from the firmament of reality. We

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<v Speaker 2>don't always find it.

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<v Speaker 1>M I guess it's hard to shine light on some

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<v Speaker 1>of the corners of the universe that are hard to see.

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<v Speaker 1>We just have to hope somebody out there is bright enough,

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<v Speaker 1>somebody has a light bulb moment there. But what do

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<v Speaker 1>you mean? Are you saying photons depend on where they

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<v Speaker 1>come from?

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<v Speaker 2>I'm saying that the language of physics we use to

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<v Speaker 2>explain things uses as the basic mental building blocks. Things

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<v Speaker 2>We do understand waves and bits of sand and tiny

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<v Speaker 2>little particulate stuff, and none of those things really completely

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<v Speaker 2>and fully describe the photon. It's those things, but also

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<v Speaker 2>something else.

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<v Speaker 1>I see. It's a language issue. Blame it on the

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<v Speaker 1>linguists if we don't understand the universe. Yes, it's not

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<v Speaker 1>the physicists fault.

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<v Speaker 2>It also turns out to be fundamental to how we

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<v Speaker 2>do science. We often tell different stories about the same

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<v Speaker 2>kind of stuff depending on the question we are asking.

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<v Speaker 2>None of our science is totally exact and complete. It's

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<v Speaker 2>always approximate. And which approximation, which idea we use, which

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<v Speaker 2>conceptualization is relevant, depends on the questions we're asking.

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<v Speaker 1>Sounds like it's a big relativity problem because it's all relative.

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<v Speaker 2>It's relatively complicated.

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<v Speaker 1>Yeah, indeed, But anyways, welcome to our podcast. Daniel and

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<v Speaker 1>Jorge Explain the Universe, a production of iHeartRadio.

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<v Speaker 2>In which we take the whole universe as the context

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<v Speaker 2>for our goal to understand things. We want to understand

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<v Speaker 2>how droplets form into hurricanes, how tiny little quarks make protons,

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<v Speaker 2>how enormous masses of stuff swirl into black holes. We

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<v Speaker 2>want to answers for everything, and we hope one day

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<v Speaker 2>to be able to stitch those answers together into a single, comprehensive,

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<v Speaker 2>complete understanding of the universe, even though that might actually

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<v Speaker 2>be impossible.

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<v Speaker 1>Yeah, we try to track the journey of humanity from

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<v Speaker 1>the shadows into the shining light of understanding and comprehension

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<v Speaker 1>about this amazing universe we live in. Yeah, even if

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<v Speaker 1>it sometimes takes a few stories or different stories along

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<v Speaker 1>the way.

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<v Speaker 2>The history of physics is seeing stuff we don't understand

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<v Speaker 2>and then cobbling together some sort of mathematical explanation for

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<v Speaker 2>what might be going on. And the bigger picture is

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<v Speaker 2>to then try to weave those explanations together into a

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<v Speaker 2>single coherent idea. But that task is still not finished,

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<v Speaker 2>and it leaves us sometimes in an awkward situation of

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<v Speaker 2>not being able to answer pretty basic questions about what's

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<v Speaker 2>going on out there?

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<v Speaker 1>Are you saying physicists can't get their story straight. It's

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<v Speaker 1>a little suspicious.

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<v Speaker 2>I'm saying the universe is a little bit lack Russiamon.

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<v Speaker 2>You know, the story you tell depends on your context.

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<v Speaker 2>But this is not something that only physicists do. You know,

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<v Speaker 2>if I ask you how the baseball game went yesterday,

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<v Speaker 2>you tell me a story about the teams and who

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<v Speaker 2>was playing well and who was struggling. You put it

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<v Speaker 2>in context to make it exciting. You don't just give

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<v Speaker 2>me a dry list of what happened to every single

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<v Speaker 2>particle in the vicinity of the stadium that day.

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<v Speaker 1>But there'd just be one story about who won and

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<v Speaker 1>who lost.

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<v Speaker 2>If you think that's the story, right, Maybe the story

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<v Speaker 2>is something else, the changing of the hot dogs, how

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<v Speaker 2>the mustard now tastes, you know, the weather. Everybody might

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<v Speaker 2>ask different questions about the same sets of events, and

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<v Speaker 2>then they might need to use different physical concepts, even

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<v Speaker 2>different mathematical formalisms to get those answers, which makes a

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<v Speaker 2>very complicated answer very basic sounding questions.

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<v Speaker 1>Right, right, Sometimes you need hot dog particles, sometimes you

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<v Speaker 1>need baseball particles.

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<v Speaker 2>Yeah, exactly. You can build a whole universe. On the

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<v Speaker 2>hot dog theory, hot dogs are the fundamental component and

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<v Speaker 2>what's inside them doesn't really.

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<v Speaker 1>Matter, right, right, is it the hot dog on or

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<v Speaker 1>the hot legino?

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<v Speaker 2>The whole brilliance of hot dogs is just enjoying them

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<v Speaker 2>and not even caring what they're made at it.

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<v Speaker 1>What's the shape of a hot dog on? And how

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<v Speaker 1>long is it?

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<v Speaker 2>That depends on which city you're in, you.

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<v Speaker 1>Know, yeah, yeah, or which country too.

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<v Speaker 2>That's right. And your relative velocity, because some of these

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<v Speaker 2>things can be length contracted.

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<v Speaker 1>That's right. If you eat it fast, then it's a

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<v Speaker 1>lot shorter than it is.

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<v Speaker 2>If you're at high velocity relative to your hot dog,

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<v Speaker 2>it will seem shorter. So, yeah, somebody shoots a hot

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<v Speaker 2>dog into your mouth near the speed of light, then

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<v Speaker 2>you're gonna have an interesting experience.

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<v Speaker 1>But then it depends on which direction it is subndy, Right,

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<v Speaker 1>if it's shutted on the side, it's still going to

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<v Speaker 1>be the same length.

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<v Speaker 2>Yeah, exactly, it's just going to be thinner.

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<v Speaker 1>Yeah, let's just spend the rest of the episode talked

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<v Speaker 1>about hot dog physics.

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<v Speaker 2>High velocity hot dog physics, relativistic hot dog physics, A

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<v Speaker 2>topic nobody has ever explored. We can be the first

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<v Speaker 2>to write a paper in the Journal of Hot Dog Physics.

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<v Speaker 1>Well, I think we're definitely the first to ever talk

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<v Speaker 1>about it in a physics podcast. I'm thinking, I don't know.

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<v Speaker 1>I haven't done the exhaustive literature search.

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<v Speaker 2>Somebody out there let us know if we need to

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<v Speaker 2>cite you.

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<v Speaker 1>Yeah, somebody else do the research for us. But anyways,

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<v Speaker 1>it is interesting to talk about how long things are,

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<v Speaker 1>you know, basic questions like that about everyday objects we

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<v Speaker 1>see every day.

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<v Speaker 2>It is often really fruitful, but sometimes frustrating to ask intuitive,

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<v Speaker 2>natural questions about the kind of things we think the

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<v Speaker 2>universe is made out of. We think everything out there

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<v Speaker 2>has certain properties, it has a size, a link, the mass,

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<v Speaker 2>et cetera. And so we try to apply those concepts,

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<v Speaker 2>these things we're familiar with from the kind of stuff

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<v Speaker 2>we're used to interacting with, and apply that to quantum objects.

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<v Speaker 2>But it doesn't always quite work.

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<v Speaker 1>Yes, we've found out the quantum world is very straying,

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<v Speaker 1>very mysterious, very uncertain, and very hard for our simple

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<v Speaker 1>brain sometimes to understand and capture and to get an

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<v Speaker 1>intuitive understanding of it.

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<v Speaker 2>But that doesn't mean it's impossible, and that doesn't mean

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<v Speaker 2>it's not useful. In fact, it's very helpful for shining

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<v Speaker 2>a light onto what we do understand and what we

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<v Speaker 2>don't understand, and it can help you make a better

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<v Speaker 2>mental picture for what's going on at the quantum level.

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<v Speaker 1>Right, But the question is can we shine a light

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<v Speaker 1>on light itself? And so to be on the podcast

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<v Speaker 1>jagging the question how long is a photon? Now it is?

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<v Speaker 1>Is that a photon coming off of a hot dog?

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<v Speaker 1>Or does it matter where it's bouncing off of.

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<v Speaker 2>A hot dog? Colored photon?

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<v Speaker 1>Wow? What is the color of a hot dog? What

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<v Speaker 1>is the color of a hot dog? Sounds like the

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<v Speaker 1>topic of a philosophy class here.

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<v Speaker 2>If you eat your hot dog with eyes closed, does

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<v Speaker 2>it have a color or not? I wonder if there's

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<v Speaker 2>a paint shade out there that's called hot dog.

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<v Speaker 1>I think people usually avoid having their runs painted hot dog.

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<v Speaker 2>There's probably more adjectives to it, like bright, summer hot dog.

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<v Speaker 1>Or something summer baseball hot dog, home run, the hot dog,

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<v Speaker 1>hot dog, vapor, wild mountain hot dog. There's so many

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<v Speaker 1>shades to a hot dog, isn't there?

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<v Speaker 2>But we're not here to talk about hot dogs, though

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<v Speaker 2>it seems like we're gonna We're here to try our

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<v Speaker 2>best to answer a very simple but very hard question

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<v Speaker 2>about the nature of light.

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<v Speaker 1>Mmm, Now, how long it's a photon? Is that a

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<v Speaker 1>question about its length or like how long it lasts?

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<v Speaker 2>Oh? I interpreted it as a question about its length,

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<v Speaker 2>like its physical extent. Photons can last forever, you know,

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<v Speaker 2>their lifetime is potentially infinite. You shoot a photon into

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<v Speaker 2>empty space, it'll just keep going forever.

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<v Speaker 1>But you can kill a photon, can it?

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<v Speaker 2>You can kill a photon, yes, absolutely, you can absorb it,

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<v Speaker 2>you can interact with it. But a photon on its

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<v Speaker 2>own will not like necessarily.

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<v Speaker 1>Decay, can it ever, like, is there a possibility for

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<v Speaker 1>it to, you know, have its energy convert into something else?

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<v Speaker 2>Absolutely? A photon flying through space can just fly through space.

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<v Speaker 2>But it can also turn into an electron and positron

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<v Speaker 2>and then back into a photon, or into a muon

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<v Speaker 2>or an anti muon and then back into a photon,

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<v Speaker 2>or all sorts of other stuff. So there's lots of

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<v Speaker 2>quantum possibilities constantly for photons.

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<v Speaker 1>Can it turn into a hot dog technically? Like you know,

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<v Speaker 1>in the infinity of infinities. Is there us light chance

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<v Speaker 1>it can turn it suddenly into hot dog?

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<v Speaker 2>Yes, there's a slight chance a very high energy photon

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<v Speaker 2>could turn into a mutually charged hot dog momentarily.

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<v Speaker 1>Hopefully it doesn't turn into hot dog inside your eye.

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<v Speaker 2>And that tells me exactly what I want to paint

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<v Speaker 2>my room next year, which is quantum hot dog.

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<v Speaker 1>Oh boy, it's like it's different shades at the same.

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<v Speaker 2>Time, exactly Shrewdinger's hot.

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<v Speaker 1>It's like yellow mustard red ketchup. But it depends on

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<v Speaker 1>how you look at it, kind of like the dress. Anyways,

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<v Speaker 1>that's a very spicy idea. All right, let's talk about

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<v Speaker 1>this question. But first we were wondering how many people

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<v Speaker 1>out there had thought about the length of a photon,

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<v Speaker 1>or even if photons have length.

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<v Speaker 2>Thanks very much to everybody who answered this question. I

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<v Speaker 2>only got one response online. So I walked around campus

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<v Speaker 2>at you see Irvine last week and I asked a

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<v Speaker 2>bunch of psych majors and other random people about photons.

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<v Speaker 1>All right, Well, if you spot a physicist with a

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<v Speaker 1>microphone on the ucroline campus, make sure to I don't know,

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<v Speaker 1>runaway or approach if you think you can answer physics

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<v Speaker 1>questions on the.

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<v Speaker 2>Spot, or even if you don't, I love to hear

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<v Speaker 2>your thoughts.

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<v Speaker 1>All right, So think about it for a second. How

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<v Speaker 1>long do you think a photon is? Here's what people

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<v Speaker 1>had to say.

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<v Speaker 2>I don't think.

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<v Speaker 1>We don't know about that yet because of the mathematics

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<v Speaker 1>going weird, since the photon is traveling in speed of

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<v Speaker 1>the light.

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<v Speaker 2>So that's my guess. Oh my gosh, I don't know.

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<v Speaker 1>I'm gonna say and like, uh like ten to the

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<v Speaker 1>power of negative twenty centimeters.

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<v Speaker 3>Let's say, so I guess photons they don't have a

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<v Speaker 3>mask or that have amentin right an, So it depends

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<v Speaker 3>on the wave length light.

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<v Speaker 4>No, I wouldn't even have like a guess of like

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<v Speaker 4>length yeah a long in science, yeah.

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<v Speaker 1>Phot I don't even know the pot I remember from biocam, okay,

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<v Speaker 1>like maybe in chips.

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<v Speaker 4>Yeah, I wouldn't even know I would photons. When I

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<v Speaker 4>think of physics, I think get like small like particles. Yeah,

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<v Speaker 4>and then I'm thinking like centimeters and like in minute

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<v Speaker 4>signs two millimeters.

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<v Speaker 2>I don't.

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<v Speaker 1>I don't even know what a photon is. I major

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<v Speaker 1>in a criminal justice, so completely outside of my major

0:11:27.679 --> 0:11:28.920
<v Speaker 1>there's a photon, a particle light.

0:11:29.080 --> 0:11:30.520
<v Speaker 2>Yes, how long is it?

0:11:31.200 --> 0:11:39.280
<v Speaker 1>I'm gonna say point zeros are one light years. I

0:11:39.280 --> 0:11:42.360
<v Speaker 1>don't know, like some ran like maybe like zero point

0:11:42.440 --> 0:11:43.440
<v Speaker 1>one microns.

0:11:43.440 --> 0:11:43.800
<v Speaker 4>I don't know.

0:11:44.559 --> 0:11:47.199
<v Speaker 1>All right, some pretty good answers. Some of them are

0:11:47.280 --> 0:11:52.000
<v Speaker 1>very specific. Zero point one microns ten to the power

0:11:52.040 --> 0:11:54.120
<v Speaker 1>of negative twenty centimeters.

0:11:55.760 --> 0:11:58.839
<v Speaker 2>There's a huge, huge range of answers here. I think

0:11:58.840 --> 0:12:01.840
<v Speaker 2>the biggest one is probably zero points zero zero one

0:12:02.040 --> 0:12:04.720
<v Speaker 2>light years. That turns out to be a very big number.

0:12:05.480 --> 0:12:08.400
<v Speaker 1>Well, I'm impressed that they even stuck to the metric system.

0:12:08.440 --> 0:12:12.240
<v Speaker 1>I mean, everyone nobody switched to inches or miles.

0:12:12.360 --> 0:12:14.520
<v Speaker 2>You think photons are metric? I don't know. Yeah, I

0:12:14.520 --> 0:12:15.800
<v Speaker 2>believe in imperial photons.

0:12:16.000 --> 0:12:19.880
<v Speaker 1>I believe photons are king, but you know, I think

0:12:19.920 --> 0:12:22.200
<v Speaker 1>they should stick to the more reasonable metric system.

0:12:22.520 --> 0:12:24.720
<v Speaker 2>That's why Darth Vader is all black, because there are

0:12:24.720 --> 0:12:26.559
<v Speaker 2>no imperial photons.

0:12:29.200 --> 0:12:35.920
<v Speaker 1>Wow, reach there took me three seconds there wait? Oh

0:12:36.000 --> 0:12:40.000
<v Speaker 1>imperial Yes, Yes, that was a very dark joke. I

0:12:40.040 --> 0:12:41.960
<v Speaker 1>thought you were going to go with a lightsaber response.

0:12:42.080 --> 0:12:43.760
<v Speaker 1>I totally set you up for that. What would be

0:12:43.800 --> 0:12:44.600
<v Speaker 1>the lightsaber joke?

0:12:44.920 --> 0:12:47.440
<v Speaker 2>Lightsabers only cut things in metric units. I don't know.

0:12:49.080 --> 0:12:51.840
<v Speaker 1>Lightsabers are about a meter long. There you go, all right,

0:12:51.880 --> 0:12:55.040
<v Speaker 1>well interesting azers. So Daniel to dig into it. For

0:12:55.120 --> 0:12:57.080
<v Speaker 1>first of all, what is a photon? How do we

0:12:57.160 --> 0:13:00.920
<v Speaker 1>define a photon? So, photon is like the minimum packet

0:13:01.000 --> 0:13:04.080
<v Speaker 1>of light. If you take a really bright source of light,

0:13:04.160 --> 0:13:06.920
<v Speaker 1>you might imagine it's just shooting out huge amounts of light.

0:13:07.120 --> 0:13:09.319
<v Speaker 1>As you dial it down, it'll get dimmer and dimmer

0:13:09.360 --> 0:13:12.880
<v Speaker 1>and dimmer, but it can't get infinitely dim. As you

0:13:12.960 --> 0:13:15.800
<v Speaker 1>dial that light source down, eventually you'll notice that the

0:13:15.880 --> 0:13:18.240
<v Speaker 1>light is actually discreete that it comes out in little

0:13:18.280 --> 0:13:21.640
<v Speaker 1>packets rather than just being dimmer and dimmer waves. So

0:13:21.760 --> 0:13:25.440
<v Speaker 1>photons are like the minimum unit of light. Wait are

0:13:25.480 --> 0:13:28.600
<v Speaker 1>you saying that photons don't have a minimum energy.

0:13:28.640 --> 0:13:31.360
<v Speaker 2>Photons do not have a minimum energy. That's true, but

0:13:31.440 --> 0:13:34.719
<v Speaker 2>photons of a specific frequency have a fixed energy. And

0:13:34.760 --> 0:13:37.640
<v Speaker 2>if you have, for example, a laser at his very

0:13:37.640 --> 0:13:40.199
<v Speaker 2>specific wavelength and you dial it down so it's dimmer

0:13:40.200 --> 0:13:42.440
<v Speaker 2>and dimmer and dimmer, eventually you're going to notice that

0:13:42.520 --> 0:13:45.040
<v Speaker 2>beam gets broken up and it comes out in pieces.

0:13:46.000 --> 0:13:48.559
<v Speaker 1>Like you lower the power to the laser, and eventually

0:13:48.840 --> 0:13:50.480
<v Speaker 1>you'll see it go down steps.

0:13:50.760 --> 0:13:54.120
<v Speaker 2>Yeah, exactly. It's just like everything else in our quantum world.

0:13:54.440 --> 0:13:57.720
<v Speaker 2>Matter is not continuous. You can't zoom in forever on

0:13:57.800 --> 0:14:00.120
<v Speaker 2>matter and have it always look the same way you

0:14:00.160 --> 0:14:02.280
<v Speaker 2>zoom in on matter. You notice that it has a

0:14:02.320 --> 0:14:04.440
<v Speaker 2>particular scale that at some point it breaks up into

0:14:04.440 --> 0:14:07.840
<v Speaker 2>discrete bits out of which everything is built, just like

0:14:07.880 --> 0:14:11.560
<v Speaker 2>the resolution on your screen. So light itself has a resolution.

0:14:11.679 --> 0:14:14.640
<v Speaker 2>It's made out of these little quantum bits, these discrete

0:14:14.640 --> 0:14:18.400
<v Speaker 2>building blocks. It's not perfectly smooth. And what is that

0:14:18.800 --> 0:14:21.400
<v Speaker 2>smallest bit for light? It's a photon. That's what we

0:14:21.480 --> 0:14:24.040
<v Speaker 2>call the photon. It's the smallest bit of light.

0:14:24.360 --> 0:14:26.400
<v Speaker 1>Like if I if I'm shooting lighters are in frequency,

0:14:26.840 --> 0:14:28.960
<v Speaker 1>the little steps that I see as I dial down

0:14:29.360 --> 0:14:31.880
<v Speaker 1>the power to it, that's what you would call a photon.

0:14:32.040 --> 0:14:34.760
<v Speaker 2>Exactly. Those are photons. And so if you have a

0:14:34.800 --> 0:14:37.400
<v Speaker 2>bunch of light, you can always ask how many photons

0:14:37.440 --> 0:14:39.400
<v Speaker 2>are there. There's a specific number. It has to be

0:14:39.440 --> 0:14:42.760
<v Speaker 2>an integer number of photons. You don't usually notice this

0:14:42.800 --> 0:14:45.760
<v Speaker 2>because the number of photons usually around hitting your eyeball

0:14:45.840 --> 0:14:48.760
<v Speaker 2>is enormous. It doesn't really matter that they're countable. But

0:14:48.840 --> 0:14:51.040
<v Speaker 2>as things get very very small. Then you can notice

0:14:51.200 --> 0:14:53.720
<v Speaker 2>that you can have zero or one or two photons,

0:14:54.000 --> 0:14:55.960
<v Speaker 2>you can't have one point seven photons.

0:14:56.320 --> 0:14:59.040
<v Speaker 1>Now, how do we think about light? Is it like

0:14:59.400 --> 0:15:01.640
<v Speaker 1>you say, it's like a packet, Like it's a discrete

0:15:01.960 --> 0:15:02.800
<v Speaker 1>little object.

0:15:03.000 --> 0:15:04.480
<v Speaker 2>Yeah, So this really gets at the heart of the

0:15:04.560 --> 0:15:07.960
<v Speaker 2>question because how you describe this object helps you answer

0:15:07.960 --> 0:15:10.920
<v Speaker 2>the question how big is it? And the answer is

0:15:10.960 --> 0:15:14.120
<v Speaker 2>that we think about light in lots of different contradictory ways,

0:15:14.160 --> 0:15:17.640
<v Speaker 2>depending on the context. Sometimes we think about light as

0:15:17.680 --> 0:15:20.000
<v Speaker 2>like a tiny little object, but we think about it

0:15:20.040 --> 0:15:23.240
<v Speaker 2>like a particle which has no extent, just like zero

0:15:23.400 --> 0:15:27.160
<v Speaker 2>volume particle. Sometimes we ignore the quantum nature of it

0:15:27.200 --> 0:15:29.680
<v Speaker 2>because it doesn't matter. We're thinking about really bright sources

0:15:29.720 --> 0:15:32.040
<v Speaker 2>where the quantum nature is irrelevant, So we just think

0:15:32.080 --> 0:15:35.800
<v Speaker 2>about it as classical waves of electromagnetism, the way people

0:15:35.800 --> 0:15:39.120
<v Speaker 2>did two hundred years ago. And sometimes we think about

0:15:39.200 --> 0:15:42.640
<v Speaker 2>light interacting with quantum particles, like light hitting an electron,

0:15:42.680 --> 0:15:44.960
<v Speaker 2>and then we think about it as a little quantum

0:15:45.000 --> 0:15:48.600
<v Speaker 2>packet and excitation in the electromagnetic field. So we have

0:15:48.680 --> 0:15:51.600
<v Speaker 2>lots of different pictures of what a photon is, and

0:15:51.640 --> 0:15:53.760
<v Speaker 2>the one that we use depends kind of on the question,

0:15:53.880 --> 0:15:54.800
<v Speaker 2>we're asking.

0:15:54.800 --> 0:15:57.400
<v Speaker 1>Well, so do you want to then tackle each one

0:15:57.440 --> 0:15:59.200
<v Speaker 1>of these different ways to look at it at a time?

0:15:59.280 --> 0:16:01.520
<v Speaker 2>Yeah? Sure. I think probably the most relevant in this

0:16:01.640 --> 0:16:04.520
<v Speaker 2>case is the quantum field theory one the last one

0:16:04.520 --> 0:16:06.880
<v Speaker 2>we talked about, But each one gives you a different answer.

0:16:07.320 --> 0:16:09.840
<v Speaker 1>All right, well, then let's maybe tackle each one of these.

0:16:10.040 --> 0:16:13.160
<v Speaker 1>But what does quantum field theory say about the nature

0:16:13.200 --> 0:16:13.480
<v Speaker 1>of light?

0:16:13.720 --> 0:16:17.760
<v Speaker 2>Quantum field theory is an updated version of classical field theory,

0:16:17.800 --> 0:16:20.760
<v Speaker 2>which sounds fancy, but it just says light is a

0:16:20.800 --> 0:16:24.640
<v Speaker 2>wave in the electromagnetic field. That's what Faraday and Maxwell

0:16:24.640 --> 0:16:26.880
<v Speaker 2>and those guys figured out a couple of hundred years ago,

0:16:27.360 --> 0:16:30.120
<v Speaker 2>that the universe is filled with this electromagnetic field and

0:16:30.160 --> 0:16:32.880
<v Speaker 2>that waves in it are what we call light, and

0:16:32.960 --> 0:16:35.400
<v Speaker 2>so you can shoot light from one planet to another,

0:16:35.520 --> 0:16:38.000
<v Speaker 2>and the medium for that is the electromagnetic field. Even

0:16:38.040 --> 0:16:40.400
<v Speaker 2>though space is empty, it has these fields in it.

0:16:40.760 --> 0:16:42.840
<v Speaker 2>So light is a ripple in those fields. And we

0:16:42.880 --> 0:16:44.720
<v Speaker 2>talk about that all the time on the podcast. And

0:16:44.720 --> 0:16:47.160
<v Speaker 2>you have electric fields and magnetic fields and there are

0:16:47.280 --> 0:16:49.960
<v Speaker 2>ninety degrees from each other and they're oscillating, and that's

0:16:50.000 --> 0:16:52.040
<v Speaker 2>what light is. From a classical point of view. That's

0:16:52.080 --> 0:16:56.080
<v Speaker 2>a traditional classical field theory. The quantum field theory version

0:16:56.120 --> 0:16:58.760
<v Speaker 2>of that is the same. It just says that there's

0:16:58.800 --> 0:17:01.600
<v Speaker 2>a minimum to how you can oscillate, so that as

0:17:01.640 --> 0:17:03.800
<v Speaker 2>you turn it down you discover that you can't turn

0:17:03.840 --> 0:17:06.879
<v Speaker 2>it to any intensity. There's certain steps. So the quantum

0:17:06.880 --> 0:17:09.359
<v Speaker 2>field theory version says the universe is filled with this

0:17:09.440 --> 0:17:13.119
<v Speaker 2>electromagnetic field which has certain steps in energy that it

0:17:13.160 --> 0:17:13.560
<v Speaker 2>can take.

0:17:13.760 --> 0:17:15.680
<v Speaker 1>Well, I guess, first of all, I wonder if listeners,

0:17:15.720 --> 0:17:17.840
<v Speaker 1>as sometimes you get confused by this like I do,

0:17:17.960 --> 0:17:20.399
<v Speaker 1>which is that you say light is a wave, but

0:17:20.440 --> 0:17:22.560
<v Speaker 1>like if I think that's rippling through a field, But

0:17:22.600 --> 0:17:25.159
<v Speaker 1>if I think of a wave like rippling through a

0:17:25.280 --> 0:17:29.159
<v Speaker 1>lake or my bathtub, it's something that ripples outwards in

0:17:29.200 --> 0:17:31.480
<v Speaker 1>all directions. Or if I think of it like a

0:17:31.520 --> 0:17:34.639
<v Speaker 1>wave in the ocean, it's like this broad thing that's

0:17:35.440 --> 0:17:38.560
<v Speaker 1>moving and undulating across kind of a wide area. But

0:17:38.760 --> 0:17:42.040
<v Speaker 1>in terms of light, it's not that right. It's not

0:17:42.040 --> 0:17:44.800
<v Speaker 1>spreading in all directions, and it's not broad like that.

0:17:45.080 --> 0:17:46.960
<v Speaker 2>It can be though, I mean, think about a star.

0:17:47.600 --> 0:17:50.000
<v Speaker 2>A star is emitting light, and it's emitting light in

0:17:50.040 --> 0:17:53.280
<v Speaker 2>all directions, and before you think about the quantum nature

0:17:53.359 --> 0:17:55.560
<v Speaker 2>of it, it is in fact spreading out. And that's

0:17:55.600 --> 0:17:58.680
<v Speaker 2>why stars seem more dim the further you are away

0:17:58.680 --> 0:18:01.440
<v Speaker 2>from them, right, because the intense see the light drops

0:18:01.480 --> 0:18:05.120
<v Speaker 2>with the distance squared, and so you have light waves

0:18:05.119 --> 0:18:07.360
<v Speaker 2>which start out very intense and then they spread out

0:18:07.400 --> 0:18:10.399
<v Speaker 2>and so they get dimmer and dimmer. The quantum version

0:18:10.440 --> 0:18:12.679
<v Speaker 2>of that is the same, except that now you have

0:18:12.760 --> 0:18:16.040
<v Speaker 2>individual photons being sent out and close to the star

0:18:16.160 --> 0:18:18.320
<v Speaker 2>you have a high intensity of those photons, and further

0:18:18.400 --> 0:18:20.840
<v Speaker 2>away you have a smaller intensity of those photons. And

0:18:20.840 --> 0:18:24.320
<v Speaker 2>you can understand why the intensity the photon drops as

0:18:24.320 --> 0:18:27.000
<v Speaker 2>you get further away because the space they're feeling is

0:18:27.040 --> 0:18:29.760
<v Speaker 2>getting bigger and bigger. And so if you have like

0:18:29.800 --> 0:18:32.240
<v Speaker 2>the same size eyeball and you're gonna have fewer number

0:18:32.240 --> 0:18:35.040
<v Speaker 2>of photons hit your eyeball when you're further away than

0:18:35.040 --> 0:18:36.919
<v Speaker 2>when you are close up to the star.

0:18:37.160 --> 0:18:38.800
<v Speaker 1>Right, you can sorder think about it that way. But

0:18:38.960 --> 0:18:40.960
<v Speaker 1>I guess what do you call the photon? Then? Is

0:18:41.000 --> 0:18:45.080
<v Speaker 1>the photon the ripple that's shooting in all directions or

0:18:45.880 --> 0:18:49.840
<v Speaker 1>just if you catch that ripple in a particular spot.

0:18:49.920 --> 0:18:51.240
<v Speaker 1>You know what I mean? Like you can imagine a

0:18:51.280 --> 0:18:55.040
<v Speaker 1>star and it's rippling light out. Is a photon that

0:18:55.359 --> 0:18:58.199
<v Speaker 1>a ring that emanates from the star or what?

0:18:58.440 --> 0:19:01.080
<v Speaker 2>Yeah, great question. Say you slow the star down so

0:19:01.160 --> 0:19:04.560
<v Speaker 2>it's only emitting one photon at a time somehow, right,

0:19:04.760 --> 0:19:07.520
<v Speaker 2>like a single photon star. Basically, we're just putting a

0:19:07.560 --> 0:19:09.360
<v Speaker 2>laser out there in space, but it's interesting to think

0:19:09.359 --> 0:19:12.240
<v Speaker 2>about how it could go in any direction. So then

0:19:12.280 --> 0:19:14.879
<v Speaker 2>any individual photon has the same probability to go in

0:19:14.920 --> 0:19:18.080
<v Speaker 2>any direction from the star if it's totally symmetric. And

0:19:18.160 --> 0:19:22.000
<v Speaker 2>so an individual photon has a ring of probability around

0:19:22.000 --> 0:19:24.520
<v Speaker 2>the star where it can go, and then when it

0:19:24.520 --> 0:19:27.480
<v Speaker 2>actually hits something, then the universe decides, Okay, this one's

0:19:27.520 --> 0:19:29.399
<v Speaker 2>over here or this one's over there. It's just like

0:19:29.440 --> 0:19:31.359
<v Speaker 2>when you shoot photons at a screen. They have a

0:19:31.480 --> 0:19:34.359
<v Speaker 2>range of possible locations where they can land, and then

0:19:34.359 --> 0:19:37.199
<v Speaker 2>when the photon actually hits, that's when the universe decides

0:19:37.280 --> 0:19:40.040
<v Speaker 2>this photon's over here and this photon's over there. So yeah,

0:19:40.080 --> 0:19:42.560
<v Speaker 2>individual photons come out in only one direction, but they

0:19:42.560 --> 0:19:45.360
<v Speaker 2>have a probability to come out in any direction. There's

0:19:45.359 --> 0:19:46.480
<v Speaker 2>a bit of a quantum.

0:19:46.160 --> 0:19:49.480
<v Speaker 1>Wrinkle there, So it's a little bit like the Schrodinger's cat.

0:19:49.600 --> 0:19:51.640
<v Speaker 1>I know you don't always like this analogy, but it's

0:19:51.640 --> 0:19:53.800
<v Speaker 1>sort of like the photon as it comes out of

0:19:53.800 --> 0:19:57.080
<v Speaker 1>the sun or the star. It's in all directions at

0:19:57.080 --> 0:19:57.680
<v Speaker 1>the same time.

0:19:58.080 --> 0:20:00.760
<v Speaker 2>It has the possibility the probability to be in all

0:20:00.800 --> 0:20:03.359
<v Speaker 2>directions at the same time. You can only ever observe

0:20:03.400 --> 0:20:05.639
<v Speaker 2>it in one. So it depends what you mean by

0:20:05.720 --> 0:20:08.040
<v Speaker 2>like it is in those places at the same time,

0:20:08.200 --> 0:20:10.720
<v Speaker 2>it has the possibility to be there can ever be

0:20:10.800 --> 0:20:12.960
<v Speaker 2>seen to be in more than one place at once.

0:20:13.720 --> 0:20:18.320
<v Speaker 1>So like it emanates like a bubble basically out of

0:20:18.359 --> 0:20:22.000
<v Speaker 1>the star, that ripple that's the photon technically, right until

0:20:22.040 --> 0:20:24.439
<v Speaker 1>something hits it, or until it hits something in my

0:20:24.560 --> 0:20:26.320
<v Speaker 1>role to die and say okay, yeah that's where I

0:20:26.400 --> 0:20:26.680
<v Speaker 1>was at.

0:20:26.960 --> 0:20:28.160
<v Speaker 2>Yeah that's right.

0:20:28.440 --> 0:20:32.320
<v Speaker 1>So then these ripples, these bubble ripples have a wavelength

0:20:32.359 --> 0:20:32.640
<v Speaker 1>to them.

0:20:32.800 --> 0:20:36.200
<v Speaker 2>Yeah, exactly, So these bubble ripples have a wavelength, right.

0:20:36.359 --> 0:20:39.320
<v Speaker 2>High energy photons have a very short wavelength, like blue

0:20:39.320 --> 0:20:43.639
<v Speaker 2>photons have a shorter wavelength a higher frequency than red photons,

0:20:43.680 --> 0:20:46.919
<v Speaker 2>which have a longer wavelength and a shorter frequency. And

0:20:46.960 --> 0:20:49.760
<v Speaker 2>so that immediately feels like ooh, that might be part

0:20:49.800 --> 0:20:52.560
<v Speaker 2>of the answer that tells us about the length of

0:20:52.600 --> 0:20:55.760
<v Speaker 2>these photons, because red photons have a longer wiggle than

0:20:55.800 --> 0:20:58.720
<v Speaker 2>blue photons, which have a shorter wiggle. And the answer

0:20:58.760 --> 0:21:01.080
<v Speaker 2>is sort of in that direction. But it's not the

0:21:01.160 --> 0:21:04.600
<v Speaker 2>answer a red photon with a very specific energy. It's

0:21:04.640 --> 0:21:07.680
<v Speaker 2>the length of the photon, is not the wavelength of

0:21:07.720 --> 0:21:08.359
<v Speaker 2>that ripple.

0:21:08.640 --> 0:21:11.040
<v Speaker 1>Well, let's talk a little bit about this wavelength. How

0:21:11.080 --> 0:21:14.720
<v Speaker 1>do you measure this wavelength? Like, it's the distance at

0:21:14.760 --> 0:21:17.520
<v Speaker 1>which the ripple repeats itself.

0:21:17.840 --> 0:21:20.840
<v Speaker 2>Yeah, remember we're talking about a ripple in the electromagnetic field.

0:21:21.200 --> 0:21:24.320
<v Speaker 2>What is the electromagnetic field. It's a vector in space,

0:21:24.359 --> 0:21:26.800
<v Speaker 2>which means every point in space has an arrow with

0:21:26.880 --> 0:21:29.040
<v Speaker 2>a direction in it. That's confusing to you. You can

0:21:29.080 --> 0:21:31.560
<v Speaker 2>just pretend it's just a number. Don't worry about the vector.

0:21:31.680 --> 0:21:35.160
<v Speaker 2>And the wavelength tells you when the electromagnetic field returns

0:21:35.200 --> 0:21:38.800
<v Speaker 2>to its original value. Right, So the electromagnetic field is

0:21:38.840 --> 0:21:40.919
<v Speaker 2>pointing up and then it oscillates down, and then it

0:21:40.960 --> 0:21:43.400
<v Speaker 2>oscillates back up again. And this is just like the

0:21:43.440 --> 0:21:45.120
<v Speaker 2>direction of the electric field.

0:21:44.960 --> 0:21:47.720
<v Speaker 1>Meaning like it increases in value, like if I put

0:21:47.720 --> 0:21:50.080
<v Speaker 1>my finger in front of me, that's a point in space,

0:21:50.359 --> 0:21:53.000
<v Speaker 1>and that point in space has an electromagnet field going

0:21:53.040 --> 0:21:54.760
<v Speaker 1>through it, and that field can certainly have a value

0:21:54.760 --> 0:21:55.720
<v Speaker 1>where I'm pointing my finger.

0:21:56.080 --> 0:21:58.919
<v Speaker 2>The electromagnetic field has a value at every point in space. Yes,

0:21:58.960 --> 0:22:01.080
<v Speaker 2>it has a vector value, which means has a direction

0:22:01.520 --> 0:22:02.080
<v Speaker 2>and a length.

0:22:03.160 --> 0:22:05.080
<v Speaker 1>Right, But we're just talking about value, and so like

0:22:05.119 --> 0:22:08.480
<v Speaker 1>where I'm pointing my finger can suddenly go up in value,

0:22:08.720 --> 0:22:10.560
<v Speaker 1>Like it can be zero right now, zero zero, but

0:22:10.600 --> 0:22:11.800
<v Speaker 1>suddenly it can go up to ten.

0:22:11.960 --> 0:22:14.120
<v Speaker 2>Yeah, exactly. It can change with time.

0:22:14.680 --> 0:22:16.879
<v Speaker 1>And then it can go back down to zero. And

0:22:16.920 --> 0:22:17.639
<v Speaker 1>that's a ripple.

0:22:17.800 --> 0:22:19.760
<v Speaker 2>And if you want to think about the wavelength, you know,

0:22:19.800 --> 0:22:22.800
<v Speaker 2>you have your finger at one point, and the electromagnetic

0:22:22.800 --> 0:22:25.520
<v Speaker 2>field has a value there. If there's a photon moving

0:22:25.560 --> 0:22:28.200
<v Speaker 2>through space there, then if you could put another finger

0:22:28.280 --> 0:22:30.600
<v Speaker 2>somewhere else, you can ask where do I have to

0:22:30.600 --> 0:22:32.720
<v Speaker 2>put my other finger so it has the same value

0:22:32.720 --> 0:22:34.879
<v Speaker 2>as my first finger. And that's what the wavelength is

0:22:34.920 --> 0:22:37.560
<v Speaker 2>telling us. Because the wavelength tells us the electromagnetic field

0:22:37.600 --> 0:22:39.800
<v Speaker 2>goes up and then down, where does it come back

0:22:39.800 --> 0:22:43.280
<v Speaker 2>to its original value? That's the wavelength for blue photons.

0:22:43.320 --> 0:22:45.640
<v Speaker 2>Your two fingers be closer together and for red photons,

0:22:45.640 --> 0:22:47.200
<v Speaker 2>your fingers would be further apart.

0:22:47.359 --> 0:22:50.320
<v Speaker 1>And so light is like the value going up in

0:22:50.359 --> 0:22:52.320
<v Speaker 1>one of my fingers and down and then go up

0:22:52.359 --> 0:22:54.960
<v Speaker 1>and down in my other finger. But it only happens

0:22:55.000 --> 0:22:58.760
<v Speaker 1>once for each photon, Like a photon passing through is

0:22:58.840 --> 0:23:00.400
<v Speaker 1>just a one.

0:23:00.840 --> 0:23:03.080
<v Speaker 2>I understand why that's confusing, but that's not actually what

0:23:03.119 --> 0:23:06.280
<v Speaker 2>one photon is. And this is going to sound like nonsense,

0:23:06.320 --> 0:23:08.800
<v Speaker 2>But a single photon of specific energy, like if you

0:23:08.840 --> 0:23:12.840
<v Speaker 2>say exactly what the wavelength is, that photon actually has

0:23:12.880 --> 0:23:17.639
<v Speaker 2>an infinite size in space, like that photon exists everywhere

0:23:17.640 --> 0:23:19.680
<v Speaker 2>in the universe. I told you it was going to

0:23:19.760 --> 0:23:25.400
<v Speaker 2>sound like nonsense. I tried to warn, Well.

0:23:25.200 --> 0:23:26.880
<v Speaker 1>It sounds like we're going to get a pretty deep

0:23:26.920 --> 0:23:29.560
<v Speaker 1>into this, So why don't we take a quick break,

0:23:29.680 --> 0:23:32.000
<v Speaker 1>and then when we come back, we'll dig into what

0:23:32.080 --> 0:23:35.359
<v Speaker 1>it means for light to be everywhere, all at once.

0:23:35.640 --> 0:23:37.800
<v Speaker 1>So let's do that, But first let's take a quick break.

0:23:50.400 --> 0:23:53.840
<v Speaker 1>All right, we're talking about light and how long light is,

0:23:54.720 --> 0:23:57.520
<v Speaker 1>and Daniel, you just kind of blew our minds here

0:23:57.560 --> 0:24:00.399
<v Speaker 1>and said that light can be everywhere, all at one,

0:24:00.800 --> 0:24:03.960
<v Speaker 1>which is the name of a great movie which coincidentally

0:24:03.960 --> 0:24:05.359
<v Speaker 1>involved hot dog fingers.

0:24:05.920 --> 0:24:09.040
<v Speaker 2>That's true, not coincidentally. Man, that was the long term

0:24:09.119 --> 0:24:10.720
<v Speaker 2>plan for this whole joke. I was going to bring

0:24:10.760 --> 0:24:11.520
<v Speaker 2>it back together.

0:24:12.480 --> 0:24:15.040
<v Speaker 1>Yes, it was just a giant plug.

0:24:14.800 --> 0:24:19.880
<v Speaker 2>For a movie A twenty four. Send us some free passes.

0:24:19.880 --> 0:24:22.960
<v Speaker 1>Yeah, there you go. So we're talking about like a

0:24:22.960 --> 0:24:26.080
<v Speaker 1>photon is a giant bubble that emanates from a light source.

0:24:26.800 --> 0:24:29.720
<v Speaker 1>It's everywhere, all at once, in all directions until something

0:24:29.800 --> 0:24:32.919
<v Speaker 1>hits it. But then if I'm the person that it hits,

0:24:33.520 --> 0:24:35.920
<v Speaker 1>you're saying, it's not something that just washes over me.

0:24:36.160 --> 0:24:37.840
<v Speaker 2>Yes, So we're going to talk about the length of

0:24:37.880 --> 0:24:40.520
<v Speaker 2>a photon, then we have to know something about the

0:24:40.680 --> 0:24:43.399
<v Speaker 2>energy of the photon. Might think, hold on, isn't he

0:24:43.480 --> 0:24:47.440
<v Speaker 2>changing the subject. Remember that for quantum objects, their location

0:24:47.680 --> 0:24:50.040
<v Speaker 2>and the uncertainty in their location how well you can

0:24:50.040 --> 0:24:53.800
<v Speaker 2>pin that down, is intimately connected with their energy. The

0:24:53.800 --> 0:24:57.480
<v Speaker 2>Heisenberg uncertainty principle tells us that you can't know perfectly

0:24:57.480 --> 0:25:00.720
<v Speaker 2>well the energy of an object or it's momentum nearly

0:25:00.760 --> 0:25:05.240
<v Speaker 2>equivalently and its location. And so for a photon, if

0:25:05.240 --> 0:25:07.679
<v Speaker 2>you know exactly its energy, if I have a laser,

0:25:07.680 --> 0:25:11.600
<v Speaker 2>for example, which always puts out photons at one wavelength,

0:25:11.640 --> 0:25:14.360
<v Speaker 2>and I know it exactly those photons because we specify

0:25:14.440 --> 0:25:17.440
<v Speaker 2>their energy precisely. That means we can't know anything about

0:25:17.440 --> 0:25:20.560
<v Speaker 2>their location. And so, like the quantum field theory version

0:25:20.600 --> 0:25:23.840
<v Speaker 2>says that the whole universe, the electromagnetic fields of the

0:25:23.880 --> 0:25:28.960
<v Speaker 2>whole universe, has that photon in it. It's oscillating simultaneously everywhere.

0:25:29.400 --> 0:25:31.440
<v Speaker 1>And now I guess it's getting kind of hairy because

0:25:31.440 --> 0:25:33.879
<v Speaker 1>we just talked about how like a photon is a ripple,

0:25:34.040 --> 0:25:36.280
<v Speaker 1>like a bubble that emanates from a star or a

0:25:36.440 --> 0:25:39.440
<v Speaker 1>light source, right, and so that bubble is getting bigger

0:25:39.440 --> 0:25:42.600
<v Speaker 1>and bigger until it hits something. But that bubble kind

0:25:42.600 --> 0:25:45.960
<v Speaker 1>of has a location, right, It's on the surface of

0:25:45.960 --> 0:25:47.879
<v Speaker 1>that bubble. So how can it be on the surface

0:25:47.880 --> 0:25:50.000
<v Speaker 1>of the bubble and also everywhere all at once?

0:25:50.119 --> 0:25:53.439
<v Speaker 2>Yeah, great question. The answer is in the uncertainty of

0:25:53.480 --> 0:25:57.520
<v Speaker 2>its energy. If a star really could produce photons of

0:25:57.600 --> 0:26:01.120
<v Speaker 2>exactly one energy, then they would be everywhere all at once.

0:26:01.440 --> 0:26:04.720
<v Speaker 2>But that's totally unphysical. You can't have something everywhere in

0:26:04.760 --> 0:26:07.560
<v Speaker 2>the universe all at once, right, That like violates all

0:26:07.600 --> 0:26:10.760
<v Speaker 2>sorts of principles of relativity. Quantum mechanics and relativity sometimes

0:26:10.800 --> 0:26:12.760
<v Speaker 2>take a little bit of conceptual glue to stick together.

0:26:13.280 --> 0:26:15.600
<v Speaker 2>The way to resolve it is to realize, well, there

0:26:15.680 --> 0:26:18.520
<v Speaker 2>are no such photons in the universe. Nothing is actually

0:26:18.560 --> 0:26:22.960
<v Speaker 2>made with that exact, super specific energy. In reality, photons

0:26:22.960 --> 0:26:25.720
<v Speaker 2>always have an uncertainty in their energy. A star is

0:26:25.800 --> 0:26:29.400
<v Speaker 2>never making exact energy photons. There's always a spread. Even

0:26:29.480 --> 0:26:32.199
<v Speaker 2>lasers that you think of as having one specific energy,

0:26:32.240 --> 0:26:35.879
<v Speaker 2>there's always an uncertainty. Even atoms when they're emitting photons

0:26:36.000 --> 0:26:39.280
<v Speaker 2>between energy levels, there's always a little bit of fuzziness there.

0:26:39.640 --> 0:26:42.679
<v Speaker 2>So there's an uncertainty in the photon's energy, and the

0:26:42.720 --> 0:26:45.600
<v Speaker 2>more uncertainty in the energy, the more constrained the photon

0:26:45.680 --> 0:26:48.080
<v Speaker 2>can be in space. So what's coming out of the

0:26:48.080 --> 0:26:51.200
<v Speaker 2>star is a ripple and it's localized in space because

0:26:51.240 --> 0:26:53.080
<v Speaker 2>there's an uncertainty in its energy.

0:26:53.320 --> 0:26:56.240
<v Speaker 1>Is the time at which it gets made also uncertain

0:26:56.760 --> 0:26:58.800
<v Speaker 1>or is that something we're allowed to know for sure,

0:26:59.440 --> 0:27:01.920
<v Speaker 1>because then you know, we know exactly when it was emanated,

0:27:01.960 --> 0:27:03.679
<v Speaker 1>and we know the speed of light never changes, and

0:27:03.760 --> 0:27:05.919
<v Speaker 1>we know sort of exactly where that bubble is.

0:27:06.320 --> 0:27:09.280
<v Speaker 2>Yeah, there's a Heisenberg and certainty relationship between uncertainty and

0:27:09.359 --> 0:27:12.040
<v Speaker 2>energy and uncertainty in time. So now you can't know

0:27:12.119 --> 0:27:13.680
<v Speaker 2>that exactly either either.

0:27:14.160 --> 0:27:16.560
<v Speaker 1>No, so there's three things or they're all tied together.

0:27:16.640 --> 0:27:19.320
<v Speaker 2>They're all tied together. There's location and momentum, and then

0:27:19.359 --> 0:27:22.159
<v Speaker 2>there's energy and time. Those are two separate Heisenberg and

0:27:22.160 --> 0:27:25.640
<v Speaker 2>certainty relationships. But for a photon, momentum and energy are

0:27:25.720 --> 0:27:28.840
<v Speaker 2>the same thing. They're only different from massive particles, and

0:27:28.880 --> 0:27:31.440
<v Speaker 2>so they really are all three things tied together by

0:27:31.440 --> 0:27:34.359
<v Speaker 2>this fuzziness. And so it's the uncertainty. The fact that

0:27:34.359 --> 0:27:38.080
<v Speaker 2>we can never have pure single energy photons means we

0:27:38.119 --> 0:27:41.080
<v Speaker 2>always get these packets, these blobs. It's like, well, maybe

0:27:41.080 --> 0:27:43.480
<v Speaker 2>this photon is this energy, maybe it has that energy,

0:27:43.520 --> 0:27:46.760
<v Speaker 2>maybe it has this other energy. And that's what defines

0:27:46.840 --> 0:27:49.119
<v Speaker 2>the length of a photon. It's really a packet of

0:27:49.160 --> 0:27:52.239
<v Speaker 2>this uncertainty, and the amount of energy uncertainty in that

0:27:52.240 --> 0:27:55.760
<v Speaker 2>packet gives us the length of the uncertainty in its location.

0:27:56.240 --> 0:27:58.760
<v Speaker 1>Meaning like the bubble that emanates from the star or

0:27:58.840 --> 0:28:02.040
<v Speaker 1>light soars is not like a hard bubble, like a

0:28:02.240 --> 0:28:05.040
<v Speaker 1>real like soap bubble, but it's actually more like an

0:28:05.080 --> 0:28:06.320
<v Speaker 1>expanding fuzzy cloud.

0:28:06.440 --> 0:28:07.639
<v Speaker 2>Way I think about it, it's sort of like a

0:28:07.680 --> 0:28:10.480
<v Speaker 2>little wave packet. You got lots of frequencies together, they

0:28:10.560 --> 0:28:13.679
<v Speaker 2>add a subject, did they interfere positively and negatively to

0:28:13.720 --> 0:28:16.600
<v Speaker 2>give you this wave packet that's moving through space. For

0:28:16.640 --> 0:28:18.760
<v Speaker 2>those of you out there who know like signal analysis

0:28:18.840 --> 0:28:22.080
<v Speaker 2>or Fourier analysis, you know that, like a single momentum

0:28:22.119 --> 0:28:24.200
<v Speaker 2>corresponds to an infinite extent in space. But if you

0:28:24.240 --> 0:28:26.680
<v Speaker 2>add up a bunch of different momentum and different frequencies,

0:28:26.880 --> 0:28:29.240
<v Speaker 2>you can make any sort of shape you want in space.

0:28:29.640 --> 0:28:31.840
<v Speaker 1>Right, But then I feel like this, all this uncertainty

0:28:31.840 --> 0:28:34.159
<v Speaker 1>comes from the fact that we don't know when it

0:28:34.200 --> 0:28:36.800
<v Speaker 1>was made, this photon. We don't know how it was made.

0:28:36.880 --> 0:28:39.120
<v Speaker 1>We don't know how energy it had when it was made.

0:28:39.320 --> 0:28:41.239
<v Speaker 1>But once we detect it, we sort of do know

0:28:41.280 --> 0:28:43.520
<v Speaker 1>all these things. Right, Well, we never measure an energy

0:28:43.520 --> 0:28:46.520
<v Speaker 1>of a photon exactly right. You can never precisely measure

0:28:46.560 --> 0:28:48.080
<v Speaker 1>the energy of a photon. How do you measure it?

0:28:48.120 --> 0:28:51.040
<v Speaker 2>Anyway? You have it impact some device, and that device

0:28:51.120 --> 0:28:53.880
<v Speaker 2>has some mechanism inside of it, and you read that

0:28:53.960 --> 0:28:57.000
<v Speaker 2>number off. There's always uncertainty, not just because the mechanism

0:28:57.120 --> 0:28:59.680
<v Speaker 2>is something cheap you bought off Amazon. But because there

0:28:59.720 --> 0:29:03.040
<v Speaker 2>is an hair and quantum uncertainty in the measurement itself.

0:29:03.400 --> 0:29:05.600
<v Speaker 1>There's a little bit of uncertainty, sure, but like when

0:29:05.600 --> 0:29:07.440
<v Speaker 1>I'm looking at a hot dog, it doesn't suddenly turn

0:29:07.560 --> 0:29:10.240
<v Speaker 1>yellow or purple, or hopefully it doesn't turn yellow and

0:29:10.240 --> 0:29:11.280
<v Speaker 1>purple as I look at it.

0:29:11.320 --> 0:29:13.400
<v Speaker 2>The hot dog is not a laser, and it's not

0:29:13.440 --> 0:29:17.280
<v Speaker 2>an idealized laser. It's emitting a spread of colors, and

0:29:17.400 --> 0:29:19.840
<v Speaker 2>so every photon that comes out of that hot dog

0:29:19.880 --> 0:29:21.720
<v Speaker 2>has the possibility to be a little greener or a

0:29:21.720 --> 0:29:24.720
<v Speaker 2>little redder, or a little bluer. There's the fussiness in

0:29:24.800 --> 0:29:26.840
<v Speaker 2>every single photon that comes out of the hot dog.

0:29:27.760 --> 0:29:29.680
<v Speaker 1>But once I measure it, don't I know exactly what

0:29:29.800 --> 0:29:30.680
<v Speaker 1>frequency it had.

0:29:30.840 --> 0:29:33.000
<v Speaker 2>There's still an uncertainty when you measure it. But yeah,

0:29:33.000 --> 0:29:34.920
<v Speaker 2>it does collapse some of that uncertainty. I mean, you

0:29:34.960 --> 0:29:36.960
<v Speaker 2>see a blue photon, or you see a red photon,

0:29:37.040 --> 0:29:39.520
<v Speaker 2>or you see a green photon, but again still never

0:29:39.640 --> 0:29:40.480
<v Speaker 2>super precisely.

0:29:40.680 --> 0:29:43.840
<v Speaker 1>What if we had a perfect measurement device and we

0:29:43.880 --> 0:29:47.640
<v Speaker 1>can collapse it perfectly, would we know it's exact frequency.

0:29:48.040 --> 0:29:49.880
<v Speaker 2>I think such a device would have to be the

0:29:49.920 --> 0:29:51.920
<v Speaker 2>size of the universe, and so then you would know

0:29:51.960 --> 0:29:53.120
<v Speaker 2>nothing about where it was.

0:29:53.560 --> 0:29:54.360
<v Speaker 1>Can you explain that?

0:29:54.480 --> 0:29:56.840
<v Speaker 2>First of all, a device that measures anything exactly is

0:29:56.920 --> 0:29:59.880
<v Speaker 2>just impossible. Right, You can take the limit of something,

0:30:00.080 --> 0:30:02.600
<v Speaker 2>can start with like, what's the most precise measurement device

0:30:02.640 --> 0:30:04.440
<v Speaker 2>I can have, and then try to think about taking

0:30:04.440 --> 0:30:06.840
<v Speaker 2>the limit of it to perfect precision. Or to measure

0:30:06.880 --> 0:30:09.200
<v Speaker 2>something very precisely that has a lot of energy, you

0:30:09.240 --> 0:30:11.160
<v Speaker 2>need to have an object which you can interact with

0:30:11.200 --> 0:30:14.280
<v Speaker 2>photons of very different wavelengths. Right, wavelengths can be very

0:30:14.320 --> 0:30:17.160
<v Speaker 2>very short for very high energy, or very very large

0:30:17.200 --> 0:30:19.760
<v Speaker 2>for very low energy, and so measuring things that are

0:30:19.840 --> 0:30:22.840
<v Speaker 2>very very large requires large objects. Like you want to

0:30:22.880 --> 0:30:26.520
<v Speaker 2>receive radio waves, you need a very big antenna. You

0:30:26.520 --> 0:30:29.840
<v Speaker 2>want to receive microwaves, you need very small antennas. So

0:30:29.920 --> 0:30:32.440
<v Speaker 2>you want to measure something super precisely that can be

0:30:32.480 --> 0:30:35.320
<v Speaker 2>of any wavelength, you're going to need essentially an antenna

0:30:35.400 --> 0:30:36.480
<v Speaker 2>the size of the universe.

0:30:36.920 --> 0:30:39.560
<v Speaker 1>Oh boy, that's a that would be a very big

0:30:39.640 --> 0:30:40.040
<v Speaker 1>hot dog.

0:30:40.920 --> 0:30:42.600
<v Speaker 2>It costs more than a hot dog, all right, But.

0:30:42.600 --> 0:30:45.080
<v Speaker 1>Maybe let's give up on perfection and say that you know,

0:30:45.160 --> 0:30:48.400
<v Speaker 1>I measure a photon coming for my hot dog, and

0:30:48.440 --> 0:30:51.440
<v Speaker 1>I see that it's red plus or minus point one, hurts.

0:30:51.680 --> 0:30:54.480
<v Speaker 1>That's a pretty good measurement of its wavelength. No, we

0:30:54.720 --> 0:30:55.960
<v Speaker 1>can get to that point, right.

0:30:55.960 --> 0:30:59.080
<v Speaker 2>Yeah, you can make fairly precise measurements of individual photons. Yes,

0:30:59.280 --> 0:31:03.520
<v Speaker 2>you can also sources of photons that are fairly pure,

0:31:03.560 --> 0:31:06.440
<v Speaker 2>that are very tight bands of energy ranges. Yeah.

0:31:06.480 --> 0:31:08.800
<v Speaker 1>So then if I know the wavelength of the photon,

0:31:08.920 --> 0:31:11.120
<v Speaker 1>doesn't that give me a sense of how long it is?

0:31:11.560 --> 0:31:13.440
<v Speaker 2>If you know the wavelength of the photon and you

0:31:13.520 --> 0:31:16.800
<v Speaker 2>know the uncertainty in that wavelength, then yes, that defines

0:31:16.840 --> 0:31:20.320
<v Speaker 2>the length of this wave packet, all these possible photons

0:31:20.360 --> 0:31:23.080
<v Speaker 2>that are flying through space together. It's a little unsatisfying

0:31:23.120 --> 0:31:25.960
<v Speaker 2>as an answer because it's not something inherent to the photon.

0:31:26.440 --> 0:31:28.680
<v Speaker 2>It's like you got a bunch of these blobs all

0:31:28.680 --> 0:31:31.760
<v Speaker 2>moving together through the universe. The answer how long is

0:31:31.800 --> 0:31:35.000
<v Speaker 2>the photon depends sort of like on your uncertainty in

0:31:35.040 --> 0:31:37.400
<v Speaker 2>your knowledge of its energy. So I think it's accurate

0:31:37.400 --> 0:31:39.080
<v Speaker 2>from a quantum mechanical point of view, but it's very

0:31:39.120 --> 0:31:42.080
<v Speaker 2>unsatisfying from a philosophical point of view because it feels

0:31:42.120 --> 0:31:45.320
<v Speaker 2>like the photon should have a length that's just inherent

0:31:45.400 --> 0:31:47.840
<v Speaker 2>to it. It shouldn't depend on your measurement of it

0:31:48.240 --> 0:31:49.280
<v Speaker 2>or your knowledge of it.

0:31:49.520 --> 0:31:52.200
<v Speaker 1>But it doesn't sort of depend on my knowledge or

0:31:52.320 --> 0:31:54.120
<v Speaker 1>measurement of it, right, Like if I measured it and

0:31:54.160 --> 0:31:56.400
<v Speaker 1>I measured the red pleasure minus point when it hurts,

0:31:56.520 --> 0:31:58.480
<v Speaker 1>and somebody else measured would have measured it, they would

0:31:58.520 --> 0:31:59.920
<v Speaker 1>have probably gone the same result.

0:32:00.120 --> 0:32:02.920
<v Speaker 2>Right, Yeah, it doesn't depend on your particular knowledge of it.

0:32:02.920 --> 0:32:05.640
<v Speaker 2>There is an inherent uncertainty in it because it's a

0:32:05.720 --> 0:32:08.600
<v Speaker 2>quantum state, and to me that's a little bit unsatisfying.

0:32:08.760 --> 0:32:11.040
<v Speaker 2>The idea that it doesn't have a fixed length or

0:32:11.040 --> 0:32:14.040
<v Speaker 2>that it's length somehow depends on that uncertainty. To answer

0:32:14.080 --> 0:32:16.960
<v Speaker 2>your specific question. If there's uncertainty, it means that no

0:32:17.080 --> 0:32:19.680
<v Speaker 2>two people would make exactly the same measurement. They'd be

0:32:19.680 --> 0:32:22.800
<v Speaker 2>probably consistent, you know, within the uncertainties, but they wouldn't

0:32:22.840 --> 0:32:24.040
<v Speaker 2>get exactly the same.

0:32:23.840 --> 0:32:28.040
<v Speaker 1>Answer, right Right. We would all see it as vapor hotdog, right,

0:32:28.080 --> 0:32:30.400
<v Speaker 1>And so couldn't you. I mean, I know we're not

0:32:30.520 --> 0:32:32.880
<v Speaker 1>we can ever get super preciped, but we can probably

0:32:32.880 --> 0:32:35.120
<v Speaker 1>say you and I can both agree that yeah, that's

0:32:35.240 --> 0:32:37.400
<v Speaker 1>vapor hotdog and not miss the hot dog.

0:32:37.800 --> 0:32:40.200
<v Speaker 2>Yeah, And I'm not saying photons don't have a length.

0:32:40.280 --> 0:32:42.280
<v Speaker 2>I'm just saying that the length depends not just on

0:32:42.360 --> 0:32:45.520
<v Speaker 2>the wavelength of light, but on the uncertainty on the wavelength,

0:32:45.560 --> 0:32:47.280
<v Speaker 2>because in the end, they're quantum objects.

0:32:47.640 --> 0:32:49.680
<v Speaker 1>Right, So then can we answer the question of how

0:32:49.720 --> 0:32:52.800
<v Speaker 1>long a photon is or was? Or is it that

0:32:52.840 --> 0:32:55.280
<v Speaker 1>we can only answer what the length of a pooton was.

0:32:55.640 --> 0:32:58.040
<v Speaker 2>We can answer the question if you know the energy

0:32:58.160 --> 0:33:02.240
<v Speaker 2>and the uncertainty on that energy that determines the length

0:33:02.280 --> 0:33:04.320
<v Speaker 2>of the photon in this sense of length.

0:33:04.560 --> 0:33:09.560
<v Speaker 1>So that's good, right, possible? Yeah, are you saying it's impossible.

0:33:09.600 --> 0:33:10.880
<v Speaker 2>No, No, I'm saying it's possible.

0:33:11.000 --> 0:33:13.720
<v Speaker 1>All right, So then that's the quantum field theory version

0:33:13.760 --> 0:33:16.240
<v Speaker 1>of a photon. You said that how long a ploton

0:33:16.320 --> 0:33:18.800
<v Speaker 1>is depends on how you look at it. So then

0:33:18.920 --> 0:33:21.719
<v Speaker 1>if we assume light is a particle, can we measure

0:33:21.960 --> 0:33:23.160
<v Speaker 1>the length of that particle?

0:33:23.240 --> 0:33:25.239
<v Speaker 2>Yeah, The answer does depend a little bit on how

0:33:25.280 --> 0:33:27.160
<v Speaker 2>you look at it, because in some cases you don't

0:33:27.200 --> 0:33:29.640
<v Speaker 2>care about the length of photon. You don't care about

0:33:29.680 --> 0:33:31.680
<v Speaker 2>these details, and you don't care about the size of

0:33:31.720 --> 0:33:34.360
<v Speaker 2>anything that's really really small. So you could just treat

0:33:34.400 --> 0:33:37.080
<v Speaker 2>them as zero point particles. And we talk on the

0:33:37.120 --> 0:33:39.520
<v Speaker 2>podcast a lot about how like electrons have no size

0:33:39.560 --> 0:33:42.000
<v Speaker 2>and quarks have no size, And the answer to that

0:33:42.040 --> 0:33:44.120
<v Speaker 2>really is they have no size that we measure or

0:33:44.160 --> 0:33:46.600
<v Speaker 2>in some cases that we care about, and so we

0:33:46.640 --> 0:33:49.120
<v Speaker 2>can treat them as if they're zero point particles with

0:33:49.280 --> 0:33:51.840
<v Speaker 2>no length to them. For some problems where it doesn't

0:33:51.840 --> 0:33:53.959
<v Speaker 2>really matter if they have length, you know, like when

0:33:54.000 --> 0:33:56.000
<v Speaker 2>they're hitting a screen, we didn't really care how long

0:33:56.000 --> 0:33:58.120
<v Speaker 2>it took to hit the screen or what their extent

0:33:58.200 --> 0:33:59.720
<v Speaker 2>was as they were flying through space. We can just

0:33:59.760 --> 0:34:02.840
<v Speaker 2>treat them as if they were tiny, zero point particles,

0:34:03.000 --> 0:34:05.160
<v Speaker 2>And so that picture is useful for answering some kinds

0:34:05.240 --> 0:34:07.480
<v Speaker 2>of questions, just the same way we can think about

0:34:07.560 --> 0:34:10.000
<v Speaker 2>classical waves moving through space.

0:34:10.239 --> 0:34:12.279
<v Speaker 1>Well, I feel like it's sort of useful, maybe, I

0:34:12.360 --> 0:34:16.080
<v Speaker 1>wonder in some applications, like for example, let's say photons

0:34:16.120 --> 0:34:19.120
<v Speaker 1>are super duper long, they're the size of a planet

0:34:19.160 --> 0:34:23.719
<v Speaker 1>sized hotdog. Then when that photon hits me, it's going

0:34:23.760 --> 0:34:27.080
<v Speaker 1>to take a long time, you know, minute for me

0:34:27.160 --> 0:34:29.840
<v Speaker 1>to feel the photon all the way, as opposed to

0:34:30.320 --> 0:34:33.280
<v Speaker 1>if a photon is just an infinitely small point particle,

0:34:33.400 --> 0:34:36.440
<v Speaker 1>then I'm going to feel the photon instantly. So is

0:34:36.480 --> 0:34:39.360
<v Speaker 1>there sort of a time at which I get to

0:34:39.440 --> 0:34:42.239
<v Speaker 1>feel photons or is it relevant or what are the

0:34:42.280 --> 0:34:43.279
<v Speaker 1>hot dog dynamics here?

0:34:43.400 --> 0:34:45.680
<v Speaker 2>Yeah, so that's a great question, and to answer that question,

0:34:45.760 --> 0:34:48.000
<v Speaker 2>you definitely need to use the quantum field theory version

0:34:48.000 --> 0:34:49.600
<v Speaker 2>of a hot dog. You need to think about the

0:34:49.600 --> 0:34:53.400
<v Speaker 2>probability of photon having various wavelengths and those wavelengths overlapping

0:34:53.440 --> 0:34:56.400
<v Speaker 2>with you. When that probability wave packet overlaps with you,

0:34:56.440 --> 0:34:59.240
<v Speaker 2>and when it doesn't overlap with you, when it does collapse,

0:34:59.239 --> 0:35:02.319
<v Speaker 2>though it collapses instantly across the entire photon, you can't

0:35:02.320 --> 0:35:04.879
<v Speaker 2>feel like part of a photon. There is no part

0:35:04.920 --> 0:35:07.440
<v Speaker 2>of a photon, right, Photons are quantized.

0:35:07.000 --> 0:35:09.960
<v Speaker 1>Like when I feel a photon, it's instantaneous, is what

0:35:10.000 --> 0:35:10.359
<v Speaker 1>you're saying?

0:35:10.440 --> 0:35:13.520
<v Speaker 2>Yeah, you feel the whole photon or no photons exactly

0:35:13.680 --> 0:35:14.960
<v Speaker 2>or so or seven photons.

0:35:15.160 --> 0:35:17.120
<v Speaker 1>What if it has like super duper big waves like

0:35:17.120 --> 0:35:21.000
<v Speaker 1>we've talked about light waves having a wavelength the size

0:35:21.040 --> 0:35:24.120
<v Speaker 1>of a galaxy for example, Like we feel those instantly

0:35:24.280 --> 0:35:25.880
<v Speaker 1>or do we need to wait a long time to

0:35:25.920 --> 0:35:26.399
<v Speaker 1>feel them?

0:35:26.560 --> 0:35:29.120
<v Speaker 2>Yeah? You either feel them or you don't. Right, there's

0:35:29.160 --> 0:35:33.200
<v Speaker 2>no time at which you're like crewing a photon, right.

0:35:33.040 --> 0:35:35.120
<v Speaker 1>But the ripple of it isn't the ripple of it

0:35:35.200 --> 0:35:37.279
<v Speaker 1>in space long to or what?

0:35:37.520 --> 0:35:40.920
<v Speaker 2>Yeah, so photons could be really really long, right, if

0:35:40.960 --> 0:35:43.680
<v Speaker 2>you have a photon with really long wavelengths and really

0:35:43.719 --> 0:35:47.839
<v Speaker 2>large uncertainty, those photons could be the size of a galaxy, absolutely,

0:35:48.239 --> 0:35:51.560
<v Speaker 2>and that photon could interact with something within the galaxy. Right,

0:35:51.560 --> 0:35:54.000
<v Speaker 2>But then the whole photon collapses all at once, just

0:35:54.040 --> 0:35:55.840
<v Speaker 2>the same way that a pair of entangled particles you

0:35:55.880 --> 0:35:58.719
<v Speaker 2>shoot off in opposite directions, they're really still part of

0:35:58.800 --> 0:36:01.640
<v Speaker 2>one big quantum state. You measure one on one side

0:36:01.680 --> 0:36:04.719
<v Speaker 2>of the galaxy, the whole quantum state collapses at once,

0:36:04.760 --> 0:36:08.080
<v Speaker 2>because it's really just one quantum state. Same way for

0:36:08.120 --> 0:36:11.719
<v Speaker 2>this galaxy size hot dog size photon. If it's really

0:36:11.760 --> 0:36:14.239
<v Speaker 2>as big as the galaxy, If it interacts anywhere, then

0:36:14.280 --> 0:36:16.200
<v Speaker 2>the whole quantum state collapses at once.

0:36:16.560 --> 0:36:20.359
<v Speaker 1>M So, like you can think of it as having

0:36:20.400 --> 0:36:22.439
<v Speaker 1>a giant photon the size of a galaxy. But once

0:36:22.480 --> 0:36:25.200
<v Speaker 1>I catch it, it's really just a little tiny point particle.

0:36:25.440 --> 0:36:27.840
<v Speaker 2>Yeah, exactly. It interacts in that one spot and you

0:36:27.920 --> 0:36:31.040
<v Speaker 2>might think, hold on a second, doesn't this violate special relativity?

0:36:31.080 --> 0:36:33.680
<v Speaker 2>And it feels like, you know, that might allow you

0:36:33.719 --> 0:36:36.239
<v Speaker 2>to send messages faster than time. And there is a

0:36:36.239 --> 0:36:40.480
<v Speaker 2>real subtlety there with how quantum theory and relativity interact.

0:36:40.640 --> 0:36:42.759
<v Speaker 2>We talked about in the podcast. It's the reason why

0:36:42.800 --> 0:36:46.360
<v Speaker 2>we have anti particles. Antiparticles patch all this up with

0:36:46.480 --> 0:36:49.239
<v Speaker 2>all these negative probabilities and make sure that everything is

0:36:49.239 --> 0:36:52.000
<v Speaker 2>following all the rules. Check out our episode on why

0:36:52.080 --> 0:36:55.040
<v Speaker 2>quantum mechanics and special relativity require antiparticles.

0:36:55.120 --> 0:36:57.720
<v Speaker 1>Well, I feel like you're kind of making a judgment

0:36:57.880 --> 0:37:01.200
<v Speaker 1>on the particle view of life. You're saying it's not

0:37:01.280 --> 0:37:05.480
<v Speaker 1>really a particle, or you ultimately have to kind of

0:37:05.520 --> 0:37:08.520
<v Speaker 1>go back to quantum theory to talk about light. We

0:37:08.560 --> 0:37:10.680
<v Speaker 1>can't stay in the particle view at for very long.

0:37:11.320 --> 0:37:14.919
<v Speaker 2>I'm definitely using this field picture here, thinking about light

0:37:15.040 --> 0:37:18.600
<v Speaker 2>as ripples in electromagnetic field, and that I think is

0:37:18.640 --> 0:37:21.440
<v Speaker 2>the most mainstream view. But there's definitely a chunk of

0:37:21.640 --> 0:37:24.440
<v Speaker 2>particle theorists who think in the particle picture, and you

0:37:24.480 --> 0:37:27.960
<v Speaker 2>absolutely can you can replace the field with an infinite

0:37:28.040 --> 0:37:31.840
<v Speaker 2>number of virtual particles and do all the same calculations

0:37:31.880 --> 0:37:34.000
<v Speaker 2>and it all works. So what I've described is the

0:37:34.000 --> 0:37:37.600
<v Speaker 2>field picture of light as a ripple in this electromagnetic field.

0:37:37.680 --> 0:37:39.880
<v Speaker 2>You can also think about these probabilities in terms of

0:37:39.920 --> 0:37:43.200
<v Speaker 2>like these virtual particles, which are conceptually kind of slippery

0:37:43.239 --> 0:37:46.120
<v Speaker 2>because they're not really particles or really just probabilities. But

0:37:46.160 --> 0:37:48.239
<v Speaker 2>you can think about all these kind of interactions and

0:37:48.280 --> 0:37:51.480
<v Speaker 2>these transmissions in terms of an infinite number of virtual particles,

0:37:51.600 --> 0:37:53.760
<v Speaker 2>if you like. Though I think it's a lot more awkward,

0:37:54.000 --> 0:37:55.000
<v Speaker 2>especially in this case.

0:37:55.239 --> 0:37:57.480
<v Speaker 1>Well awkward is a relative tern I know they might

0:37:57.480 --> 0:37:58.480
<v Speaker 1>say the same thing about you.

0:37:58.920 --> 0:38:02.399
<v Speaker 2>Yeah, absolutely, and a little bit subjective. Mathematically, both pictures work,

0:38:02.440 --> 0:38:04.960
<v Speaker 2>so I'm trying not to make a judgment on what

0:38:05.080 --> 0:38:08.040
<v Speaker 2>is the best picture of the quantum universe. There's a

0:38:08.080 --> 0:38:10.239
<v Speaker 2>particle people and the fields people, and both of them

0:38:10.440 --> 0:38:13.640
<v Speaker 2>have strong cases. Conceptually, For me, the fields picture is

0:38:13.640 --> 0:38:15.600
<v Speaker 2>more intuitive, though that doesn't mean that it's right.

0:38:16.120 --> 0:38:19.200
<v Speaker 1>Right. So then let's say we replace you, Daniel. We

0:38:19.239 --> 0:38:22.960
<v Speaker 1>call this podcast Mark and Jorge explain the universe, and

0:38:23.000 --> 0:38:26.319
<v Speaker 1>Mark happens to be a particle person that sees the

0:38:26.320 --> 0:38:28.960
<v Speaker 1>world as particles. How would they answer the question how

0:38:29.000 --> 0:38:29.920
<v Speaker 1>long is a particle?

0:38:30.120 --> 0:38:32.680
<v Speaker 2>Even in the particle picture of the universe where there

0:38:32.680 --> 0:38:35.080
<v Speaker 2>are no fields, there's just an infinite number of real

0:38:35.120 --> 0:38:38.680
<v Speaker 2>particles and an infinite number of virtual particles communicating between them.

0:38:38.920 --> 0:38:42.120
<v Speaker 2>There are still probabilities, you still have wave functions about

0:38:42.120 --> 0:38:45.600
<v Speaker 2>where these particles are, and uncertainties on where the particles

0:38:45.600 --> 0:38:47.920
<v Speaker 2>are and how much energy they have. So in the end,

0:38:47.960 --> 0:38:50.680
<v Speaker 2>the answer is very much the same. Right. A photon,

0:38:50.719 --> 0:38:52.600
<v Speaker 2>even if you think about it as a particle, has

0:38:52.600 --> 0:38:56.279
<v Speaker 2>an uncertainty in its location. A photon is infinitely well known,

0:38:56.320 --> 0:38:59.640
<v Speaker 2>but still have an infinite uncertainty in its location. And

0:39:00.040 --> 0:39:01.720
<v Speaker 2>so even if you think about in terms of particles,

0:39:01.760 --> 0:39:04.200
<v Speaker 2>you get the same answer. It's either a packet of

0:39:04.280 --> 0:39:07.359
<v Speaker 2>waves moving through the universe with a range of frequencies,

0:39:07.719 --> 0:39:10.360
<v Speaker 2>or it's a packet of possible particles moving through the

0:39:10.440 --> 0:39:12.480
<v Speaker 2>universe with a range of possible energies.

0:39:12.760 --> 0:39:14.879
<v Speaker 1>All right, thank you Mary for answering that question. Now,

0:39:15.480 --> 0:39:17.680
<v Speaker 1>I think what you're saying is that even if you

0:39:17.719 --> 0:39:21.320
<v Speaker 1>look at the lightest particles, a particle is a point particle,

0:39:21.520 --> 0:39:24.200
<v Speaker 1>so itself, it doesn't have any length. So it kind

0:39:24.200 --> 0:39:25.759
<v Speaker 1>of doesn't make sense to talk about the length of

0:39:25.800 --> 0:39:29.360
<v Speaker 1>a photon. But these point particles have a certain fuzziness

0:39:29.440 --> 0:39:31.200
<v Speaker 1>about where they can be in the universe, and maybe

0:39:31.200 --> 0:39:33.920
<v Speaker 1>you can talk about the length of that fuzzy cloud

0:39:33.920 --> 0:39:38.000
<v Speaker 1>of where it could be, but ultimately you kind of

0:39:38.000 --> 0:39:41.040
<v Speaker 1>have to make a call about where where you draw

0:39:41.120 --> 0:39:44.799
<v Speaker 1>those boundaries, Like these fuzzy clouds don't have a hard

0:39:44.880 --> 0:39:47.280
<v Speaker 1>edge to them, the kind of fuzzy out to infinity,

0:39:47.880 --> 0:39:50.200
<v Speaker 1>and so it's up to you to say, this is

0:39:50.200 --> 0:39:51.719
<v Speaker 1>what I would call the photon, this is what would

0:39:51.760 --> 0:39:52.960
<v Speaker 1>not call the photon.

0:39:52.760 --> 0:39:55.399
<v Speaker 2>Exactly, And the pure concept of a single photon isn't

0:39:55.400 --> 0:39:58.000
<v Speaker 2>really helpful number one because they never exist in the universe,

0:39:58.000 --> 0:40:01.000
<v Speaker 2>and number two because they have infinite uncertainty in their

0:40:01.080 --> 0:40:03.560
<v Speaker 2>location and so they're sort of everywhere.

0:40:03.719 --> 0:40:07.879
<v Speaker 1>Cool, Well, I like this new podcast host Mary. Does

0:40:07.920 --> 0:40:10.200
<v Speaker 1>Mary like white chocolate? Then, because she's.

0:40:10.000 --> 0:40:12.959
<v Speaker 2>The of you, No, she agrees with me and everything else?

0:40:14.200 --> 0:40:18.719
<v Speaker 1>Right, all right, Well, let's talk about how you might

0:40:18.800 --> 0:40:21.680
<v Speaker 1>actually measure what you might call the length of a photon,

0:40:21.840 --> 0:40:25.200
<v Speaker 1>or not measure it, or maybe it's impossible. So let's

0:40:25.239 --> 0:40:27.880
<v Speaker 1>dig into that question. But first let's take one more break.

0:40:40.480 --> 0:40:42.400
<v Speaker 1>All right, we're talking about the length of a photon,

0:40:42.520 --> 0:40:47.320
<v Speaker 1>and now is it Daniel's backwards. It's still Mary.

0:40:49.040 --> 0:40:49.920
<v Speaker 2>Let's go back to Dan.

0:40:52.160 --> 0:40:55.879
<v Speaker 1>All right, we've sort of concluded that, you know, light

0:40:55.960 --> 0:40:58.200
<v Speaker 1>is a fuzzy quantum thing, so to talk about its

0:40:58.280 --> 0:41:00.880
<v Speaker 1>length kind of doesn't make sense. But there's sort of

0:41:00.880 --> 0:41:02.640
<v Speaker 1>the other aspect of it, which is what I was

0:41:02.800 --> 0:41:04.440
<v Speaker 1>trying to get at, which is like, when you measure

0:41:04.440 --> 0:41:07.160
<v Speaker 1>a photon, maybe you can measure its length sort of

0:41:07.239 --> 0:41:09.319
<v Speaker 1>because maybe it depends on how big your eyeball is

0:41:09.520 --> 0:41:12.200
<v Speaker 1>or how you know, how long you're there waiting for

0:41:12.239 --> 0:41:13.960
<v Speaker 1>the hot dog to hit you. So let's talk about

0:41:13.960 --> 0:41:16.480
<v Speaker 1>measuring how do you measure a photon and how does

0:41:16.520 --> 0:41:17.680
<v Speaker 1>it change the length of it?

0:41:17.880 --> 0:41:20.160
<v Speaker 2>Yeah, this is really fun. I spent some time thinking

0:41:20.200 --> 0:41:23.280
<v Speaker 2>about this and starting with how you measure the size

0:41:23.320 --> 0:41:25.640
<v Speaker 2>of other particles. It's a little bit easier to think

0:41:25.680 --> 0:41:28.640
<v Speaker 2>about like measuring the size of a proton, because we've

0:41:28.680 --> 0:41:31.680
<v Speaker 2>done that, or try to measure the size of the electron,

0:41:31.719 --> 0:41:33.080
<v Speaker 2>because we've tried to do that.

0:41:33.320 --> 0:41:35.400
<v Speaker 1>Well, we have measured the length of a proton.

0:41:35.520 --> 0:41:37.880
<v Speaker 2>We have measured the width of a proton. Yes, absolutely

0:41:37.880 --> 0:41:39.960
<v Speaker 2>we know something about the size of a proton.

0:41:40.120 --> 0:41:42.319
<v Speaker 1>Wait, wait, I thought we just concluded that you can't

0:41:42.360 --> 0:41:43.640
<v Speaker 1>do that with quantum particles.

0:41:43.920 --> 0:41:46.680
<v Speaker 2>We decided you can. But protons are not like fundamental

0:41:46.719 --> 0:41:49.759
<v Speaker 2>objects in the universe, right, So really we're talking about

0:41:49.800 --> 0:41:51.759
<v Speaker 2>like a bound state of quarks and how close do

0:41:51.800 --> 0:41:52.839
<v Speaker 2>they stay to each other?

0:41:52.960 --> 0:41:55.359
<v Speaker 1>But even that has a sort of an uncertainty that

0:41:55.440 --> 0:41:57.600
<v Speaker 1>spills out to infinity, doesn't it. So where do you

0:41:57.640 --> 0:42:00.480
<v Speaker 1>define the bounds of a proton?

0:42:00.600 --> 0:42:02.120
<v Speaker 2>Yeah, it's a little bit fuzzy, and you have to

0:42:02.160 --> 0:42:04.520
<v Speaker 2>do a little bit of mental gymnastics and come up

0:42:04.560 --> 0:42:07.840
<v Speaker 2>with a concept of size that makes sense for these particles.

0:42:07.840 --> 0:42:10.240
<v Speaker 2>You have to think about like what can I actually

0:42:10.280 --> 0:42:12.880
<v Speaker 2>measure and what number does that give me? And is

0:42:12.920 --> 0:42:15.320
<v Speaker 2>that really measuring the size of the object.

0:42:15.600 --> 0:42:18.080
<v Speaker 1>All right, let me do some mental stretching here before

0:42:18.120 --> 0:42:20.960
<v Speaker 1>I do some mental gymnastics. Well, what do you mean?

0:42:21.239 --> 0:42:23.839
<v Speaker 1>So when you say the side, because you just said

0:42:23.920 --> 0:42:26.879
<v Speaker 1>the size of a proton pretty decisively, would then as

0:42:26.880 --> 0:42:29.839
<v Speaker 1>a particle physicist, what do you define as the edge

0:42:29.840 --> 0:42:30.440
<v Speaker 1>of a proton?

0:42:30.520 --> 0:42:33.120
<v Speaker 2>Yeah? So I will be totally upfront here. The physics

0:42:33.120 --> 0:42:36.759
<v Speaker 2>has redefined size and then answered the question. What we

0:42:36.840 --> 0:42:38.840
<v Speaker 2>really mean is that we do a specific kind of

0:42:38.840 --> 0:42:42.799
<v Speaker 2>experiment where we bounce stuff off the proton, and we

0:42:43.040 --> 0:42:46.600
<v Speaker 2>notice how that changes as we scan across a proton. So,

0:42:46.640 --> 0:42:49.440
<v Speaker 2>for example, you shoot electrons at the proton and they

0:42:49.440 --> 0:42:51.359
<v Speaker 2>mostly go through, and then you shoot them a little

0:42:51.360 --> 0:42:53.399
<v Speaker 2>bit to the right and oops, now they're bouncing back,

0:42:53.440 --> 0:42:56.400
<v Speaker 2>or now they're exploding the proton. And as you keep going,

0:42:56.480 --> 0:42:59.160
<v Speaker 2>you discover that as you sweep your beam over past

0:42:59.200 --> 0:43:01.520
<v Speaker 2>the other side of the proton, then now it's missing

0:43:01.600 --> 0:43:04.480
<v Speaker 2>the proton again. So there's like a size of the

0:43:04.480 --> 0:43:06.840
<v Speaker 2>proton there in the sense of like how it reacts

0:43:06.880 --> 0:43:10.719
<v Speaker 2>to the beam and electrons that you're sweeping over it.

0:43:10.719 --> 0:43:13.359
<v Speaker 1>It's sort of like searching for a stud on your.

0:43:13.280 --> 0:43:16.600
<v Speaker 2>Wall, right, Yeah, exactly. It's a little bit philosophical to

0:43:16.600 --> 0:43:19.440
<v Speaker 2>interpret this as size, because what do you mean anyway

0:43:19.480 --> 0:43:21.719
<v Speaker 2>by the size of a proton. A proton is an

0:43:21.800 --> 0:43:23.920
<v Speaker 2>easier thing to talk about than a photon, because at

0:43:24.000 --> 0:43:26.160
<v Speaker 2>least a proton has mass. You can like hold one,

0:43:26.440 --> 0:43:28.560
<v Speaker 2>you can capture one, you can say this is the

0:43:28.560 --> 0:43:31.160
<v Speaker 2>one I'm talking about. Photons are much harder, and we'll

0:43:31.160 --> 0:43:32.480
<v Speaker 2>talk in a minute about how you might be able

0:43:32.480 --> 0:43:34.239
<v Speaker 2>to measure their size. But this is the kind of

0:43:34.320 --> 0:43:36.399
<v Speaker 2>thing we do for a proton and This is one way,

0:43:36.440 --> 0:43:39.120
<v Speaker 2>for example, that we discovered that the atom had a

0:43:39.160 --> 0:43:43.000
<v Speaker 2>proton inside of it. Right. Rutherford's original experiment was basically this,

0:43:43.239 --> 0:43:45.480
<v Speaker 2>You shut alpha particles at gold foils and notice that

0:43:45.520 --> 0:43:47.719
<v Speaker 2>they bounce back sometimes and not other times. And he

0:43:47.840 --> 0:43:50.319
<v Speaker 2>used this to see like, oh, there's like hard little

0:43:50.360 --> 0:43:53.440
<v Speaker 2>nuggets inside the gold foil, and those were the nuclei.

0:43:53.760 --> 0:43:55.440
<v Speaker 2>And you can do the same kind of thing to

0:43:55.440 --> 0:43:57.200
<v Speaker 2>see the size or a proton. You can also do

0:43:57.239 --> 0:43:59.440
<v Speaker 2>the same kind of thing to see inside a proton,

0:43:59.480 --> 0:44:01.560
<v Speaker 2>to see like how often is it bouncing off of

0:44:01.560 --> 0:44:03.480
<v Speaker 2>a quark that's inside the proton?

0:44:03.840 --> 0:44:05.920
<v Speaker 1>Right, But like you said, it's sort of a fuzzy boundary,

0:44:05.960 --> 0:44:08.520
<v Speaker 1>isn't it. Like as you're scanning where the proton is

0:44:08.520 --> 0:44:11.400
<v Speaker 1>by shooting electrons at it, at some point like sometimes

0:44:11.440 --> 0:44:13.360
<v Speaker 1>it'll hit, sometimes it won't, even though you're shooting in

0:44:13.400 --> 0:44:16.520
<v Speaker 1>the same exact direction, And as you scan through the right,

0:44:16.560 --> 0:44:19.600
<v Speaker 1>for example, the frequency at which it might glance off

0:44:19.640 --> 0:44:22.880
<v Speaker 1>of the proton changes. So there's a bit of fuzziness.

0:44:22.880 --> 0:44:24.399
<v Speaker 1>So when do you make the call like okay, that's

0:44:24.400 --> 0:44:26.319
<v Speaker 1>the edge of the proton, or do you.

0:44:26.480 --> 0:44:28.560
<v Speaker 2>Know you're exactly right? There's a little bit of fuzziness there,

0:44:28.560 --> 0:44:31.279
<v Speaker 2>Like if you did this experiment with billiard balls, right,

0:44:31.360 --> 0:44:33.279
<v Speaker 2>there'd be a moment when they come into contact and

0:44:33.320 --> 0:44:35.919
<v Speaker 2>then a moment when they don't, and there's a precision there,

0:44:36.239 --> 0:44:38.920
<v Speaker 2>and we don't have the same thing with protons. There's

0:44:39.040 --> 0:44:41.360
<v Speaker 2>some point at which you shoot the electron and sometimes

0:44:41.360 --> 0:44:44.040
<v Speaker 2>it bounces back and sometimes it passes through, and so

0:44:44.120 --> 0:44:46.600
<v Speaker 2>like is that the edge of the proton, And so

0:44:46.640 --> 0:44:48.920
<v Speaker 2>we just make a sort of mathematical definition. We define

0:44:48.960 --> 0:44:51.319
<v Speaker 2>the width of this distribution, and we say that with

0:44:51.520 --> 0:44:54.680
<v Speaker 2>this distribution tells us the size of the proton.

0:44:54.440 --> 0:44:57.280
<v Speaker 1>Meaning like the width of a proton is the width

0:44:57.320 --> 0:45:00.520
<v Speaker 1>at which if you aim at an electron added beyond

0:45:00.520 --> 0:45:03.920
<v Speaker 1>that then only you know ten percent of them will hit.

0:45:03.800 --> 0:45:06.040
<v Speaker 2>It, exactly like if you know a Gaussian distribution, you

0:45:06.040 --> 0:45:08.680
<v Speaker 2>can characterize the width of it. It doesn't capture the

0:45:08.680 --> 0:45:11.160
<v Speaker 2>whole distribution. It's just like a characteristic number that tells

0:45:11.160 --> 0:45:14.319
<v Speaker 2>you roughly how wide it is. And there's a possibility

0:45:14.320 --> 0:45:16.279
<v Speaker 2>you go past that with and you still interact with

0:45:16.280 --> 0:45:18.480
<v Speaker 2>the proton. And there's a possibility you go below that

0:45:18.520 --> 0:45:20.600
<v Speaker 2>width and you don't interact with the proton. So it's

0:45:20.640 --> 0:45:24.120
<v Speaker 2>a quantum fuzzy definition of size. That's fuzzy in another

0:45:24.160 --> 0:45:26.720
<v Speaker 2>way too, because it depends on the thing you're touching

0:45:26.719 --> 0:45:30.520
<v Speaker 2>it with, Like protons will react to electrons differently than

0:45:30.520 --> 0:45:33.840
<v Speaker 2>they will react to muons or react to neutrinos. So

0:45:33.880 --> 0:45:37.000
<v Speaker 2>the whole concept of size is really about the interaction

0:45:37.280 --> 0:45:41.080
<v Speaker 2>of two things. It's not inherent property of the object anyway,

0:45:41.480 --> 0:45:44.160
<v Speaker 2>at least this quantum definition of size.

0:45:43.880 --> 0:45:45.719
<v Speaker 1>I see, like it depends on the experiment. The width

0:45:45.760 --> 0:45:47.600
<v Speaker 1>of a proton. You can't talk about the width of

0:45:47.640 --> 0:45:49.600
<v Speaker 1>a proton. You have to say what's the width of

0:45:49.640 --> 0:45:52.200
<v Speaker 1>a proton when it's interacting with electrons? Or what's the

0:45:52.200 --> 0:45:55.480
<v Speaker 1>width of a proton when it's interacting with hot dog ginos?

0:45:56.040 --> 0:45:57.320
<v Speaker 1>Even then it's fuzzy and you kind of have to

0:45:57.320 --> 0:45:59.719
<v Speaker 1>make a call and say, well, you know it's about

0:45:59.800 --> 0:46:01.399
<v Speaker 1>here that it starts to taper off.

0:46:02.000 --> 0:46:03.120
<v Speaker 2>Yeah, exactly, all.

0:46:03.080 --> 0:46:05.680
<v Speaker 1>Right, So then let not switch to photons. Do the

0:46:05.719 --> 0:46:07.759
<v Speaker 1>same thing apply to photons? Like does it depend on

0:46:07.760 --> 0:46:08.480
<v Speaker 1>how we measure it?

0:46:08.520 --> 0:46:10.880
<v Speaker 2>So this is tricky because photons don't like to interact

0:46:10.920 --> 0:46:13.520
<v Speaker 2>with each other. You can't just like shoot one photon

0:46:13.560 --> 0:46:15.440
<v Speaker 2>at another and say, like how often are they going

0:46:15.520 --> 0:46:18.040
<v Speaker 2>to touch each other this kind of stuff. Remember, photons

0:46:18.120 --> 0:46:20.880
<v Speaker 2>only interact with things that have electric charge. So you

0:46:20.880 --> 0:46:24.280
<v Speaker 2>can shoot photons at electrons, but you can't shoot photons

0:46:24.320 --> 0:46:27.319
<v Speaker 2>at photons and see them interact. Very often. When they do,

0:46:27.360 --> 0:46:31.400
<v Speaker 2>it's because they've actually spontaneously transformed into electrons and positrons

0:46:31.440 --> 0:46:33.319
<v Speaker 2>and then interacted. So I was thinking about it, and

0:46:33.400 --> 0:46:35.080
<v Speaker 2>there's another way you might be able to get a

0:46:35.160 --> 0:46:38.120
<v Speaker 2>sense for the length of a photon because photons don't

0:46:38.120 --> 0:46:40.560
<v Speaker 2>interact with each other the same way particles do, but

0:46:40.600 --> 0:46:43.640
<v Speaker 2>they can interfere with each other. If photons are at

0:46:43.680 --> 0:46:46.719
<v Speaker 2>the same place at the same time, they will interfere,

0:46:46.760 --> 0:46:49.359
<v Speaker 2>like the way we have interferometers. You know, we talk

0:46:49.400 --> 0:46:52.080
<v Speaker 2>about interference, you get like light patches and dark patches.

0:46:52.120 --> 0:46:54.279
<v Speaker 1>Wait, wait, let maybe take a step back. What is

0:46:54.280 --> 0:46:56.120
<v Speaker 1>it that you're trying to do. You're trying to measure

0:46:56.600 --> 0:46:59.080
<v Speaker 1>the size of this wave packet or the size of

0:46:59.120 --> 0:47:01.640
<v Speaker 1>the fuzziness an electron. Is that kind of what you're

0:47:01.640 --> 0:47:02.000
<v Speaker 1>trying to do.

0:47:02.080 --> 0:47:04.080
<v Speaker 2>I'm thinking about how to measure the length of that

0:47:04.120 --> 0:47:06.520
<v Speaker 2>wave packet of a photon, And I was thinking about

0:47:06.560 --> 0:47:10.080
<v Speaker 2>if you send two photons through an interference experiment, Like,

0:47:10.280 --> 0:47:12.439
<v Speaker 2>do the interfere with each other? They will if they're

0:47:12.480 --> 0:47:14.640
<v Speaker 2>right on top of each other. They won't if they're

0:47:14.680 --> 0:47:18.040
<v Speaker 2>really separated, Like if you wait ten seconds between shooting photons,

0:47:18.120 --> 0:47:20.520
<v Speaker 2>they won't interfere with each other. There's some point in

0:47:20.560 --> 0:47:23.240
<v Speaker 2>which if you send two photons through the experiment close

0:47:23.360 --> 0:47:26.719
<v Speaker 2>enough together in time that their wave packets are overlapping,

0:47:26.920 --> 0:47:29.120
<v Speaker 2>that they will interfere with each other. And so I'm

0:47:29.120 --> 0:47:32.120
<v Speaker 2>thinking that's like one way to define the width of

0:47:32.200 --> 0:47:35.320
<v Speaker 2>the wave packet of each photon is like how close

0:47:35.400 --> 0:47:37.719
<v Speaker 2>they have to be to each other in time, which

0:47:37.760 --> 0:47:40.680
<v Speaker 2>then gets translated to distance so that they start interfering

0:47:40.680 --> 0:47:41.200
<v Speaker 2>with each other.

0:47:41.400 --> 0:47:44.160
<v Speaker 1>Doesn't light interact with electrons? For example, So like we

0:47:44.280 --> 0:47:47.000
<v Speaker 1>use electrons like you you said, to measure the width

0:47:47.000 --> 0:47:49.040
<v Speaker 1>of a proton, couldn't we kind of flip it and

0:47:49.160 --> 0:47:52.120
<v Speaker 1>use an electron to measure the width of a light particle?

0:47:52.320 --> 0:47:54.200
<v Speaker 1>Like what if I sit an electron there on a

0:47:54.239 --> 0:47:57.480
<v Speaker 1>table and I just shoot photons at it? Wouldn't this

0:47:57.600 --> 0:47:59.920
<v Speaker 1>sort of tell me how whine my photon?

0:48:00.480 --> 0:48:01.880
<v Speaker 2>Yeah? But are we talking about the length of a

0:48:01.920 --> 0:48:03.640
<v Speaker 2>photon or the width of a photon?

0:48:03.760 --> 0:48:06.040
<v Speaker 1>Wait? Wait? Meaning like is it light shape like a

0:48:06.040 --> 0:48:09.200
<v Speaker 1>hot dog. Let's assume the light is shape like a

0:48:09.200 --> 0:48:11.879
<v Speaker 1>meat ball. Wouldn't the length also tell you the width.

0:48:12.120 --> 0:48:14.600
<v Speaker 2>The length or the width it depends on the uncertainty

0:48:14.640 --> 0:48:16.840
<v Speaker 2>of its production. Right, The entire length of the photon

0:48:16.920 --> 0:48:19.720
<v Speaker 2>comes from the uncertainty you have in how it was produced.

0:48:19.760 --> 0:48:23.000
<v Speaker 2>It's either infinitely long if it's perfectly well measured, or

0:48:23.080 --> 0:48:25.600
<v Speaker 2>it's very very tiny if it's very uncertain in its energy.

0:48:26.040 --> 0:48:28.960
<v Speaker 2>So the width might come from a different uncertainty. So, yeah,

0:48:29.040 --> 0:48:30.640
<v Speaker 2>if you want to talk about the width of the photon,

0:48:30.760 --> 0:48:33.120
<v Speaker 2>like which direction does it come out of the laser,

0:48:33.200 --> 0:48:36.680
<v Speaker 2>this uncertainty there in the photon's width as well as

0:48:36.719 --> 0:48:38.760
<v Speaker 2>in its length. That could be a different number.

0:48:38.840 --> 0:48:40.640
<v Speaker 1>But I feel like when you were talking about the proton,

0:48:40.920 --> 0:48:43.400
<v Speaker 1>you were using the word length to mean it's.

0:48:43.280 --> 0:48:46.680
<v Speaker 2>With Yeah, for proton, we really are measuring its width

0:48:46.880 --> 0:48:48.160
<v Speaker 2>in that case. You're right, So.

0:48:48.120 --> 0:48:53.799
<v Speaker 1>You're assuming protons are meat bull shaped. Well, I mean

0:48:53.840 --> 0:48:56.120
<v Speaker 1>that is important, right, No, you're right. Yeah, you're right,

0:48:56.680 --> 0:48:59.040
<v Speaker 1>you're assuming protons are meat bull shapes, But you're not

0:48:59.120 --> 0:49:01.640
<v Speaker 1>assuming that light is meatball shape. You're assuming it might

0:49:01.640 --> 0:49:03.239
<v Speaker 1>be hot dog shape or not. I don't know.

0:49:03.400 --> 0:49:05.880
<v Speaker 2>Yeah, absolutely, I'm using the meatbon model of a proton,

0:49:05.960 --> 0:49:08.879
<v Speaker 2>the hot dog model of a photon, and somebody else

0:49:08.960 --> 0:49:12.040
<v Speaker 2>might have a different you know, maybe a French version

0:49:12.040 --> 0:49:13.760
<v Speaker 2>of it, right whe there's a pastry version.

0:49:13.760 --> 0:49:17.360
<v Speaker 1>Donut, a French fry version, the pompfleet model.

0:49:17.719 --> 0:49:17.879
<v Speaker 3>Yes.

0:49:18.000 --> 0:49:20.839
<v Speaker 2>So to measure the width of a photon, you could

0:49:20.840 --> 0:49:22.919
<v Speaker 2>scan a beam across a bunch of electrons and see

0:49:22.920 --> 0:49:24.359
<v Speaker 2>when they interact and then will give you a sense

0:49:24.400 --> 0:49:26.120
<v Speaker 2>for like the width of your beam. And if you

0:49:26.120 --> 0:49:28.279
<v Speaker 2>slow it down to individual photons, if you go a

0:49:28.320 --> 0:49:30.480
<v Speaker 2>sense of the width of the wave packet of the photon.

0:49:30.680 --> 0:49:32.480
<v Speaker 2>I think to get a sense of the length of

0:49:32.520 --> 0:49:34.640
<v Speaker 2>a photon, you might want to see how the photons

0:49:34.880 --> 0:49:38.000
<v Speaker 2>overlap in an interference experiment, see when they start interfering.

0:49:38.160 --> 0:49:41.200
<v Speaker 2>That proves something we call coherence length of the photon.

0:49:41.719 --> 0:49:43.279
<v Speaker 1>I wonder if you can measure the length of a

0:49:43.320 --> 0:49:47.520
<v Speaker 1>hot dog photon by measuring by using time, Like, if

0:49:47.640 --> 0:49:50.719
<v Speaker 1>there's more uncertainty in when you receive the photon, would

0:49:50.719 --> 0:49:52.840
<v Speaker 1>that tell you that it's a really long it's a

0:49:52.840 --> 0:49:56.480
<v Speaker 1>foot long hot dog. Where I suppose if the uncertainty

0:49:56.520 --> 0:49:59.359
<v Speaker 1>and when you receive the photon is very short. It's like, oh,

0:49:59.360 --> 0:49:59.880
<v Speaker 1>it's a vienna.

0:50:00.320 --> 0:50:02.239
<v Speaker 2>Yeah, And principle, if you know the energy and uncertainty,

0:50:02.440 --> 0:50:04.400
<v Speaker 2>you can just define the length. I was trying to

0:50:04.400 --> 0:50:07.040
<v Speaker 2>think about a way to like experimentally measure another sense

0:50:07.080 --> 0:50:09.240
<v Speaker 2>of the length in terms of like when two photons

0:50:09.239 --> 0:50:11.800
<v Speaker 2>overlap with each other, rather than just thinking about that

0:50:11.960 --> 0:50:15.200
<v Speaker 2>length of an individual photon theoretically. But yeah, you can

0:50:15.200 --> 0:50:18.440
<v Speaker 2>definitely define the length of an individual photon theoretically from

0:50:18.480 --> 0:50:20.960
<v Speaker 2>its energy and the uncertainty, which again is coupled to

0:50:21.000 --> 0:50:22.680
<v Speaker 2>the uncertainty and its time measurement.

0:50:22.920 --> 0:50:25.120
<v Speaker 1>So I feel like maybe the headline from this podcast

0:50:25.120 --> 0:50:29.120
<v Speaker 1>episode is a physicists claim light is shaped like a

0:50:29.160 --> 0:50:29.520
<v Speaker 1>hot dog.

0:50:32.600 --> 0:50:34.160
<v Speaker 2>You know, one thing I love about this podcast is

0:50:34.200 --> 0:50:36.279
<v Speaker 2>I've never have any idea where it's going to end

0:50:36.320 --> 0:50:38.480
<v Speaker 2>up going. There's no way to prepare for this.

0:50:38.960 --> 0:50:40.600
<v Speaker 1>There's an uncertainty about its length.

0:50:40.640 --> 0:50:44.640
<v Speaker 2>Also, the topic, the concept, the analogies we end up using.

0:50:44.760 --> 0:50:47.760
<v Speaker 2>This is proof that this podcast is unscripted because nobody

0:50:47.760 --> 0:50:48.640
<v Speaker 2>could write this stuff.

0:50:51.440 --> 0:50:54.320
<v Speaker 1>Well we are, we're writing it right now, Daniel. It's happening.

0:50:54.320 --> 0:50:55.480
<v Speaker 1>It's happening, we're living it.

0:50:55.520 --> 0:50:55.719
<v Speaker 3>Man.

0:50:57.280 --> 0:50:59.279
<v Speaker 1>Well, I mean, would you I feel that that's the

0:50:59.280 --> 0:51:01.200
<v Speaker 1>biggest thing that I'm getting out of this is that

0:51:01.360 --> 0:51:03.960
<v Speaker 1>you know, you're in your thought point of view. A

0:51:04.000 --> 0:51:07.839
<v Speaker 1>photon is not spherical, it's maybe has different dimensions to it.

0:51:07.960 --> 0:51:09.880
<v Speaker 2>Yeah, I hadn't thought about the width of a photon,

0:51:09.960 --> 0:51:13.080
<v Speaker 2>but you're right. It has all the same theoretical questions

0:51:13.120 --> 0:51:16.200
<v Speaker 2>to it and experimental trickery to measure the width of it.

0:51:16.280 --> 0:51:18.000
<v Speaker 2>But the width and the length of a photon could

0:51:18.040 --> 0:51:20.200
<v Speaker 2>be very different. You could have a source of photons

0:51:20.200 --> 0:51:23.200
<v Speaker 2>that's very uncertain in length and very certain in width.

0:51:23.360 --> 0:51:26.000
<v Speaker 1>I think that you know, as you you gave a

0:51:26.040 --> 0:51:29.239
<v Speaker 1>proton of definite size, right like in physics you have

0:51:29.320 --> 0:51:31.480
<v Speaker 1>a size with plus or mind is a certain amount

0:51:31.520 --> 0:51:33.919
<v Speaker 1>of uncertainty. If you had to do that for a light,

0:51:34.080 --> 0:51:36.560
<v Speaker 1>for a photon, like maybe an everyday photon that we

0:51:36.600 --> 0:51:39.240
<v Speaker 1>see every day, what would you say it is its length?

0:51:39.680 --> 0:51:42.200
<v Speaker 2>Yeah, that's a great question. You know, a typical photon

0:51:42.280 --> 0:51:45.560
<v Speaker 2>that's like coming out of the light that's made from

0:51:45.600 --> 0:51:47.560
<v Speaker 2>a light bulb in your house, that's a glow of

0:51:47.600 --> 0:51:49.839
<v Speaker 2>like a little piece of metal. So there's a very

0:51:49.880 --> 0:51:52.759
<v Speaker 2>wide spread in the uncertainty of those photons.

0:51:52.840 --> 0:51:56.040
<v Speaker 1>Oh cool, Now, how would say it compares to its

0:51:56.080 --> 0:52:00.200
<v Speaker 1>width like our photons hot like the every day times

0:52:00.239 --> 0:52:02.520
<v Speaker 1>we see hot dyck shaped or are they football shaped

0:52:02.600 --> 0:52:05.960
<v Speaker 1>or are they more spherically? Tis like, what kind of fun?

0:52:06.080 --> 0:52:07.719
<v Speaker 1>What kind of bunch should I get to eat it?

0:52:09.719 --> 0:52:11.960
<v Speaker 2>I think it's probably curved, so you should get a croissant?

0:52:12.520 --> 0:52:15.480
<v Speaker 2>Oh no, I don't know the answer that it depends

0:52:15.480 --> 0:52:18.399
<v Speaker 2>a lot on the source for a typical filament from

0:52:18.440 --> 0:52:20.719
<v Speaker 2>like an incandescent bulb. There's again going to be a

0:52:20.760 --> 0:52:23.319
<v Speaker 2>lot of uncertainty in the direction, So these things are

0:52:23.320 --> 0:52:26.359
<v Speaker 2>going to be pretty fat. Maybe there's sausage paddies after all.

0:52:26.640 --> 0:52:28.759
<v Speaker 1>Oh yeah, oh man, I hadn't even thought about that

0:52:28.800 --> 0:52:31.160
<v Speaker 1>snag Like they could be like pancakes flying at you

0:52:31.920 --> 0:52:32.760
<v Speaker 1>face face.

0:52:32.520 --> 0:52:34.440
<v Speaker 2>Forward, Yeah, more sideways.

0:52:34.600 --> 0:52:37.200
<v Speaker 1>Yeah. Interesting. All right, So I guess we sort of

0:52:37.280 --> 0:52:39.239
<v Speaker 1>answered the question how long a photon is?

0:52:39.520 --> 0:52:41.680
<v Speaker 2>We know that these things are really hard to think about,

0:52:41.760 --> 0:52:43.400
<v Speaker 2>and that the answer depends a little bit on the

0:52:43.480 --> 0:52:46.040
<v Speaker 2>question you're asking and exactly how you want to answered,

0:52:46.200 --> 0:52:49.239
<v Speaker 2>And along the way you often have to redefine what

0:52:49.320 --> 0:52:51.319
<v Speaker 2>you mean by your question in order to get a

0:52:51.360 --> 0:52:53.160
<v Speaker 2>specific unsatisfying answer.

0:52:53.600 --> 0:52:55.120
<v Speaker 1>Yeah, and in the enda, I guess it's all a

0:52:55.160 --> 0:52:58.720
<v Speaker 1>little bit fuzzy due to the fuzzy nature of the universe.

0:52:59.000 --> 0:53:01.239
<v Speaker 2>But put enough mustard it it'll be delicious.

0:53:01.560 --> 0:53:07.600
<v Speaker 1>Yeah, it's a little fuzzy though. The Fuzzy hot Dog Podcast.

0:53:08.320 --> 0:53:12.280
<v Speaker 1>All right, well, another interesting dive into the quantum nature

0:53:12.320 --> 0:53:15.200
<v Speaker 1>of the universe and how even simple questions like how

0:53:15.200 --> 0:53:18.080
<v Speaker 1>big is a photon or what shape it has requires

0:53:18.280 --> 0:53:22.920
<v Speaker 1>a whole conversation about the nature of length and what

0:53:23.080 --> 0:53:24.840
<v Speaker 1>even means to be something in the universe.

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<v Speaker 2>That's right, the most basic questions are the hardest to answer.

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<v Speaker 1>All right, well, we hope you enjoyed that. Thanks for

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<v Speaker 1>joining us. See you next time.

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<v Speaker 2>For more science and curiosity, come find us on social

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<v Speaker 2>media where we answer questions and post videos. We're on Twitter,

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<v Speaker 2>disc Org, Instant, and now TikTok. Thanks for listening, and

0:53:47.360 --> 0:53:50.080
<v Speaker 2>remember that Daniel and Jorge Explain the Universe is a

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<v Speaker 2>production of iHeartRadio. For more podcasts from iHeart Radio, visit

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<v Speaker 2>the iHeartRadio app, Apple Podcasts, or wherever you listen to

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<v Speaker 2>your favorite shows.