WEBVTT - How long is a photon?

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<v Speaker 4>Terms apply. Hey Daniel, when you think about a photon,

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<v Speaker 4>what image comes to mind?

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<v Speaker 1>Ooh?

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<v Speaker 4>Depends on what what you've been smoking that day?

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<v Speaker 1>Yes, and also on the context. Are we talking about

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<v Speaker 1>light from distant stars or rainbows or single photon lasers

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<v Speaker 1>or what?

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<v Speaker 4>What aren't they all the same. Like a photon is

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<v Speaker 4>a photon, isn't it.

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<v Speaker 1>Nobody really knows what a photon is. There's something weird

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<v Speaker 1>and mysterious we might never fully understand.

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<v Speaker 4>So you're just gonna leave us in the dark. You're

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<v Speaker 4>not gonna shed any light on it.

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<v Speaker 1>That's as bright as I can be on the topic.

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<v Speaker 4>Hi am horehad Mad cartoonists and the author of Oliver's

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<v Speaker 4>Great Big Universe.

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<v Speaker 1>Hi. I'm Daniel. I'm a particle physicist and professor at

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<v Speaker 1>UC Irvine, and I'm still hunting for a brilliant explanation

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<v Speaker 1>about photons.

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<v Speaker 4>I thought brilliance was your job description. Isn't it your

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<v Speaker 4>job to provide that brilliance.

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<v Speaker 1>My job is to hunt for the brilliance, to try

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<v Speaker 1>to mine the truth from the firmament of reality. We

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<v Speaker 1>don't always find it.

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<v Speaker 4>I guess it's hard to shine light on some of

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<v Speaker 4>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.

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<v Speaker 4>Enough, somebody has a light bulb moment there. But what

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<v Speaker 4>do you mean? Are you saying photons depend on where

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<v Speaker 4>they come from?

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<v Speaker 1>I'm saying that the language of physics we use to

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<v Speaker 1>explain things uses as the basic mental building blocks. Things

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<v Speaker 1>we do understand waves and bits of sand and tiny

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<v Speaker 1>little particulate stuff, and none of those things really completely

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<v Speaker 1>and fully describe the photon. It's those things, but also

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<v Speaker 1>something else.

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<v Speaker 4>I see. It's a language issue. Blame it on the

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<v Speaker 4>linguists if we don't understand the universe. It's not the

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<v Speaker 4>physicists fault.

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<v Speaker 1>It also turns out to be fundamental to how we

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<v Speaker 1>do science. We often tell different stories about the same

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<v Speaker 1>kind of stuff depending on the question we are asking.

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<v Speaker 1>None of our science is totally exact and complete. It's

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<v Speaker 1>always approximate. And which approximation, which idea we use, which

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<v Speaker 1>conceptualization is relevant, depends on the questions we're asking.

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<v Speaker 4>Sounds like it's a big relativity problem because it's all relative.

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<v Speaker 1>It's relatively complicated.

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<v Speaker 4>Yeah, indeed, But anyways, welcome to our podcast, Daniel and

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<v Speaker 4>Jorge Explain the Universe, a production of iHeartRadio, in.

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<v Speaker 1>Which we take the whole universe as the context for

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<v Speaker 1>our goal to understand things. We want to understand, how

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<v Speaker 1>droplets form into hurricanes, how tiny little quarks make protons,

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<v Speaker 1>how enormous masses of stuff swirl into black holes. We

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<v Speaker 1>want to answers for everything, and we hope one day

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<v Speaker 1>to be able to stitch those answers together into a single, comprehensive,

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<v Speaker 1>complete understanding of the universe, even though that might actually

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<v Speaker 1>be impop.

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<v Speaker 4>Yeah, we try to track the journey of humanity from

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<v Speaker 4>the shadows into the shining light of understanding and comprehension

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<v Speaker 4>about this amazing universe we live in. Yeah, even if

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<v Speaker 4>it sometimes takes a few stories or different stories along

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<v Speaker 4>the way.

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<v Speaker 1>The history of physics is seeing stuff we don't understand

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<v Speaker 1>and then cobbling together some sort of mathematical explanation for

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<v Speaker 1>what might be going on. And the bigger picture is

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<v Speaker 1>to then try to weave those explanations together into a

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<v Speaker 1>single coherent idea. But that task is still not finished,

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<v Speaker 1>and it leaves us sometimes in an awkward situation of

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<v Speaker 1>not being able to answer pretty basic questions about what's

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<v Speaker 1>going on out there.

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<v Speaker 4>Are you saying physicists can't get their story straight. It's

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<v Speaker 4>a little suspicious.

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<v Speaker 1>I'm saying the universe is a little bit lack Russiamon.

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<v Speaker 1>You know, the story you tell depends on your context.

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<v Speaker 1>But this is not something that only physicists. Do you know,

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<v Speaker 1>if I ask you how the baseball game went yesterday,

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<v Speaker 1>you tell me a story about the teams and who

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<v Speaker 1>was playing well and who was struggling. You put it

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<v Speaker 1>in context to make it excit. You don't just give

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<v Speaker 1>me a dry list of what happened to every single

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<v Speaker 1>particle in the vicinity of the stadium that day.

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<v Speaker 4>But there'd just be one story about who won and

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<v Speaker 4>who lost.

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<v Speaker 1>If you think that's the story, right, Maybe the story

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<v Speaker 1>is something else, the changing of the hot dogs, how

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<v Speaker 1>the mustard now tastes, you know, the weather. Everybody might

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<v Speaker 1>ask different questions about the same sets of events, and

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<v Speaker 1>then they might need to use different physical concepts, even

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<v Speaker 1>different mathematical formalisms to get those answers, which makes a

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<v Speaker 1>very complicated answer very basic sounding questions.

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<v Speaker 4>Right, right, Sometimes you need hot dog particles, sometimes you

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<v Speaker 4>need baseball particles.

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<v Speaker 1>Yeah, exactly. You can build a whole universe on the

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<v Speaker 1>hot dog theory. Hot dogs are the fundamental component, and

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<v Speaker 1>what's inside them doesn't really matter, right.

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<v Speaker 4>Right, Is it the hot dog on or the hot logino.

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<v Speaker 1>The whole brilliance of hot dogs is just enjoying them

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<v Speaker 1>and not even caring what they're made at it.

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<v Speaker 4>What's the shape of a hot dog on and how

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<v Speaker 4>long is it?

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<v Speaker 1>That depends on which city you're in, you know.

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<v Speaker 4>Yeah, yeah, or which country too, that's.

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<v Speaker 1>Right, and your relative velocity, because some of these things

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<v Speaker 1>can be length contracted.

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<v Speaker 4>That's right. If you eat it fast, then it's a

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<v Speaker 4>lot shorter than it is.

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<v Speaker 1>If you're at high velocity relative to your hot dog,

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<v Speaker 1>it will seem shorter. So, yeah, somebody shoots a hot

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<v Speaker 1>dog into your mouth you're the speed of light, then

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<v Speaker 1>you're gonna have an interesting experience.

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<v Speaker 4>But then it depends on which direction it is subbody, Right,

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<v Speaker 4>if it's shut it on the side, it's still going

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<v Speaker 4>to be the same length.

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<v Speaker 1>Yeah, exactly, it's just going to be thinner.

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<v Speaker 4>Yeah, let's just spend the rest of the episode talking

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<v Speaker 4>about hot dog physics.

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<v Speaker 1>High velocity hot dog physics, relativistic hot dog physics, a

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<v Speaker 1>topic nobody has ever explored. We can be the first

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<v Speaker 1>to write a paper in the Journal of hot dog Physics.

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<v Speaker 4>Well, I think we're definitely the first to ever talk

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<v Speaker 4>about it in a physics podcast. I'm thinking, I don't know,

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<v Speaker 4>I haven't done the exhaustive literature search.

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<v Speaker 1>Somebody out there let us know if we need to

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<v Speaker 1>cite you.

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<v Speaker 4>Yeah, somebody else do the research for us. But anyways,

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<v Speaker 4>it is interesting to talk about how long things are,

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<v Speaker 4>you know, basic questions like that about everyday objects we

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<v Speaker 4>see every day.

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<v Speaker 1>It is often really fruitful, but sometimes frustrating to ask intuitive,

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<v Speaker 1>natural questions about the kind of things we think the

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<v Speaker 1>universe is made out of. We think everything out there

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<v Speaker 1>has certain properties, it has a size, a link, the mass,

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<v Speaker 1>et cetera. And so we try to apply those concepts,

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<v Speaker 1>these things we're familiar with from the kind of stuff

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<v Speaker 1>we're used to interacting with, and apply that to quantum objects.

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<v Speaker 1>But it doesn't always quite work.

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<v Speaker 4>Yes, we've found out the quantum world is very straying,

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<v Speaker 4>very mysterious, very uncertain, and very hard for our simple

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<v Speaker 4>brain sometimes to understand and capture and to get an

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<v Speaker 4>intuitive understanding of it.

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<v Speaker 1>But that doesn't mean it's impossible, and that doesn't mean

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<v Speaker 1>it's not useful. In fact, it's very helpful for shining

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<v Speaker 1>a light onto what we do understand and what we

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<v Speaker 1>don't understand, and it can help you make a better

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<v Speaker 1>mental picture for what's going on at the quantum level.

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<v Speaker 4>Right, But the question is can we shine a light

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<v Speaker 4>on light itself? And so to the on the podcast,

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<v Speaker 4>we'll be tackling the question how long is a photon?

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<v Speaker 4>Now it is? Is that a photon coming off of

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<v Speaker 4>a hot dog? Or does it matter where it's bouncing

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<v Speaker 4>off of.

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<v Speaker 1>A hot dog? Colored photon? Wow? What is the color

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<v Speaker 1>of a hot dog?

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<v Speaker 4>What is the color of a hot dog? Sounds like

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<v Speaker 4>the topic of a philosophy class here.

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<v Speaker 1>If you eat your hot dog with eyes closed, does

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<v Speaker 1>it have a color or not? I wonder if there's

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<v Speaker 1>a paint shade out there that's called hot dog.

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<v Speaker 4>I think people usually avoid having the runs painted hot dog.

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<v Speaker 1>There's probably more adjectives to it, like bright, summer hot dog.

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<v Speaker 4>Or something summer baseball hot dog, home run, the hot dog,

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<v Speaker 4>hot dog, vapor.

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<v Speaker 1>Wild mountain hot dog.

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<v Speaker 4>There's so many shades to a hot dog, isn't there?

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<v Speaker 1>But we're not here to talk about hot dogs, though

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<v Speaker 1>it seems like we're gonna. We're here to try our

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<v Speaker 1>best to answer a very simple but very hard question

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<v Speaker 1>about the nature of light.

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<v Speaker 5>Mmm.

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<v Speaker 4>Now, how long it's a photon? Is that a question

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<v Speaker 4>about its length? Or like how long it lasts?

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<v Speaker 1>Oh? I interpreted it as a question about its length,

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<v Speaker 1>like its physical extent. Photons can last forever, you know,

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<v Speaker 1>their lifetime is potentially infinite. You shoot a photon into

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<v Speaker 1>empty space, it'll just keep going forever.

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<v Speaker 4>But you can kill a photon, canjin You can.

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<v Speaker 1>Kill a photon? Yes, absolutely, you can absorb it, you

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<v Speaker 1>can interact with it. But a photon on its own

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<v Speaker 1>will not like necessarily decay.

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<v Speaker 4>Can it ever? Like isn't Is there a possibility for

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<v Speaker 4>it to, you know, have its energy convert into something else?

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<v Speaker 1>Absolutely, a photon flying through space can just fly through space,

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<v Speaker 1>but it can also turn into an electron and positron

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<v Speaker 1>and then back into a photon, or into a muon

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<v Speaker 1>or an anti muon, and then back into a photon or

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<v Speaker 1>all sorts of other stuff. So there's lots of quantum

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<v Speaker 1>possibilities constantly for photons.

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<v Speaker 4>Can it turn into a hot dog technically, like you know,

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<v Speaker 4>in the infinity of infinities? Is there a slight chance

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<v Speaker 4>it can turn it suddenly into hot Yes.

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<v Speaker 1>There's a slight chance a very high energy photon could

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<v Speaker 1>turn into a mutually charged hot dog momentarily.

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<v Speaker 4>Hopefully it doesn't turn into hot dog inside your eye and.

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<v Speaker 1>That tells me exactly what I want to paint my

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<v Speaker 1>room next year, which is quantum hot dog.

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<v Speaker 4>Oh boy, it's like it's different shades at the same.

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<v Speaker 1>Time, exactly Shrewdinger's hot.

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<v Speaker 4>It's like yellow mustard red ketchup. But it depends on

0:11:27.320 --> 0:11:29.440
<v Speaker 4>how you look at it, kind of like the dress. Anyways,

0:11:29.440 --> 0:11:32.440
<v Speaker 4>that's a very spicy idea. All right, let's talk about

0:11:32.760 --> 0:11:34.959
<v Speaker 4>this question. But first we were wondering how many people

0:11:35.000 --> 0:11:37.559
<v Speaker 4>out there had thought about the length of a photon,

0:11:37.720 --> 0:11:40.160
<v Speaker 4>or even if photons have length.

0:11:40.440 --> 0:11:42.560
<v Speaker 1>Thanks very much to everybody who answered this question. I

0:11:42.600 --> 0:11:45.760
<v Speaker 1>only got one response online. So I walked around campus

0:11:45.760 --> 0:11:47.680
<v Speaker 1>at U see Ermine last week and I asked a

0:11:47.720 --> 0:11:51.719
<v Speaker 1>bunch of psych majors and other random people about photons.

0:11:52.000 --> 0:11:54.600
<v Speaker 4>All right, well, if you spot a physicist with a

0:11:54.640 --> 0:11:58.840
<v Speaker 4>microphone on the Ucroine campus, make sure to I don't know,

0:11:58.920 --> 0:12:02.160
<v Speaker 4>runaway or approach if you think you can answer physics

0:12:02.240 --> 0:12:02.800
<v Speaker 4>questions on.

0:12:02.760 --> 0:12:05.800
<v Speaker 1>The spot, or even if you don't love to hear

0:12:05.840 --> 0:12:06.280
<v Speaker 1>your thoughts.

0:12:06.400 --> 0:12:08.440
<v Speaker 4>All right, so think about it for a second. How

0:12:08.480 --> 0:12:12.040
<v Speaker 4>long do you think a photon is? Here's what people

0:12:12.040 --> 0:12:12.480
<v Speaker 4>had to say.

0:12:13.240 --> 0:12:17.440
<v Speaker 5>I don't think we don't know about that yet because

0:12:17.440 --> 0:12:22.400
<v Speaker 5>of the mathematics going weird, since the photon is traveling

0:12:22.440 --> 0:12:23.319
<v Speaker 5>in speed of the light.

0:12:24.240 --> 0:12:25.640
<v Speaker 1>So that's my guess.

0:12:26.559 --> 0:12:28.800
<v Speaker 6>Oh my gosh, I don't know.

0:12:28.960 --> 0:12:34.640
<v Speaker 4>I'm gonna say and like, uh like ten to the

0:12:34.679 --> 0:12:39.920
<v Speaker 4>power of negative twenty centimeters.

0:12:40.120 --> 0:12:43.000
<v Speaker 7>Let's say, so I guess photons.

0:12:43.360 --> 0:12:47.600
<v Speaker 4>They don't have a mask or that agment, right, So

0:12:47.720 --> 0:12:51.479
<v Speaker 4>it depends on the wavelength light.

0:12:52.480 --> 0:12:55.079
<v Speaker 7>No, I wouldn't even have like a guess of like length.

0:12:55.000 --> 0:12:58.760
<v Speaker 1>Yeah, a long in science, Yeah, I don't know.

0:12:59.360 --> 0:13:01.520
<v Speaker 8>I remember if from bokam.

0:13:01.080 --> 0:13:05.920
<v Speaker 4>Okay, like maybe inches Okay.

0:13:05.720 --> 0:13:08.400
<v Speaker 7>Yeah, I wouldn't even know I would photons. When I

0:13:08.400 --> 0:13:11.160
<v Speaker 7>think of physics, I think it's like small like particles, yes,

0:13:11.200 --> 0:13:14.360
<v Speaker 7>and then I'm thinking like centimeters and like in minute

0:13:14.400 --> 0:13:19.000
<v Speaker 7>signs two millimeters.

0:13:19.480 --> 0:13:21.280
<v Speaker 1>I don't even know what a photon is, okay.

0:13:21.280 --> 0:13:24.520
<v Speaker 6>I major in a criminal justice, so completely outside of

0:13:24.520 --> 0:13:24.959
<v Speaker 6>my major.

0:13:25.800 --> 0:13:28.719
<v Speaker 1>There's a photon, a particle light? Yes, how long is it?

0:13:29.280 --> 0:13:37.360
<v Speaker 4>I'm gonna say point zero zero one light years. I

0:13:37.400 --> 0:13:40.520
<v Speaker 4>don't know, like some random like maybe like zero point

0:13:40.559 --> 0:13:44.240
<v Speaker 4>one microns. I don't know, all right, some pretty good answers,

0:13:44.760 --> 0:13:48.080
<v Speaker 4>some of them are very specific. Zero point one microns

0:13:49.320 --> 0:13:52.240
<v Speaker 4>ten to the power of negative twenty centimeters.

0:13:53.880 --> 0:13:56.959
<v Speaker 1>There's a huge, huge range of answers here. I think

0:13:56.960 --> 0:14:00.000
<v Speaker 1>the biggest one is probably zero point zero zero one

0:14:00.160 --> 0:14:02.840
<v Speaker 1>light years. That turns out to be a very big number.

0:14:03.600 --> 0:14:06.520
<v Speaker 4>Well, I'm impressed that they even stuck to the metric system.

0:14:06.559 --> 0:14:10.360
<v Speaker 4>I mean, everyone nobody switched to inches or miles.

0:14:10.480 --> 0:14:12.640
<v Speaker 1>You think photons are metric? I don't know. Yeah, I

0:14:12.640 --> 0:14:13.920
<v Speaker 1>believe in imperial photons.

0:14:14.120 --> 0:14:18.000
<v Speaker 4>I believe photons are king, but you know, I think

0:14:18.000 --> 0:14:20.320
<v Speaker 4>they should stick to the more reasonable metric system.

0:14:20.600 --> 0:14:22.840
<v Speaker 1>That's why Darth Vader is all black, because there are

0:14:22.840 --> 0:14:25.840
<v Speaker 1>no Imperial photons.

0:14:27.320 --> 0:14:36.920
<v Speaker 4>Wow, there took me three seconds there wait oh imperial. Yes, yes,

0:14:37.000 --> 0:14:37.960
<v Speaker 4>that was a very dark joke.

0:14:38.080 --> 0:14:40.080
<v Speaker 1>I thought you were going to go with a lightsaber response.

0:14:40.200 --> 0:14:41.400
<v Speaker 1>I totally set you up for that.

0:14:41.440 --> 0:14:42.720
<v Speaker 4>What would be the lightsaber joke?

0:14:43.040 --> 0:14:45.560
<v Speaker 1>Lightsabers only cut things in metric units. I don't know.

0:14:47.200 --> 0:14:50.160
<v Speaker 4>Lightsabers are about a meter long. There you go, all right, Well,

0:14:50.160 --> 0:14:53.720
<v Speaker 4>interesting azers. So Daniels dig into it. For first of all,

0:14:53.720 --> 0:14:56.800
<v Speaker 4>what is a photon? How do we define a photon? So,

0:14:56.840 --> 0:15:00.400
<v Speaker 4>a photon is like the minimum packet of light. If

0:15:00.440 --> 0:15:02.560
<v Speaker 4>you take a really bright source of light. You might

0:15:02.600 --> 0:15:05.400
<v Speaker 4>imagine it's just shooting out huge amounts of light. As

0:15:05.440 --> 0:15:08.040
<v Speaker 4>you dial it down, it'll get dimmer and dimmer and dimmer,

0:15:08.200 --> 0:15:11.480
<v Speaker 4>but it can't get infinitely dim. As you dial that

0:15:11.600 --> 0:15:14.360
<v Speaker 4>light source down, eventually you'll notice that the light is

0:15:14.400 --> 0:15:17.240
<v Speaker 4>actually discreete that it comes out in little packets rather

0:15:17.280 --> 0:15:20.640
<v Speaker 4>than just being dimmer and dimmer waves. So photons are

0:15:20.680 --> 0:15:24.040
<v Speaker 4>like the minimum unit of light. Wait, are you saying

0:15:24.080 --> 0:15:26.720
<v Speaker 4>that photons don't have a minimum energy.

0:15:26.760 --> 0:15:29.480
<v Speaker 1>Photons do not have a minimum energy. That's true, but

0:15:29.520 --> 0:15:32.840
<v Speaker 1>photons of a specific frequency have a fixed energy. And

0:15:32.880 --> 0:15:35.760
<v Speaker 1>if you have, for example, a laser at his very

0:15:35.760 --> 0:15:38.320
<v Speaker 1>specific wavelength, and you dial it down so it's dimmer

0:15:38.320 --> 0:15:40.560
<v Speaker 1>and dimmer and dimmer, eventually you're going to notice that

0:15:40.640 --> 0:15:43.600
<v Speaker 1>beam gets broken up and it comes out in pieces.

0:15:44.120 --> 0:15:46.680
<v Speaker 4>Like you lower the power to the laser, and eventually

0:15:46.960 --> 0:15:48.600
<v Speaker 4>you'll see it go down steps.

0:15:48.880 --> 0:15:52.240
<v Speaker 1>Yeah, exactly. It's just like everything else in our quantum world.

0:15:52.560 --> 0:15:55.840
<v Speaker 1>Matter is not continuous. You can't zoom in forever on

0:15:55.920 --> 0:15:58.120
<v Speaker 1>matter and have it always look the same way. As

0:15:58.160 --> 0:16:00.320
<v Speaker 1>you zoom in on matter, you notice that it has

0:16:00.320 --> 0:16:02.320
<v Speaker 1>a particular scale that at some point it breaks up

0:16:02.320 --> 0:16:05.840
<v Speaker 1>into discrete bits out of which everything is built, just

0:16:05.880 --> 0:16:09.080
<v Speaker 1>like the resolution on your screen. So light itself has

0:16:09.120 --> 0:16:11.960
<v Speaker 1>a resolution. It's made out of these little quantum bits,

0:16:12.040 --> 0:16:16.080
<v Speaker 1>these discrete building blocks. It's not perfectly smooth. And what

0:16:16.240 --> 0:16:19.280
<v Speaker 1>is that smallest bit for light? It's a photon. That's

0:16:19.320 --> 0:16:21.960
<v Speaker 1>what we call the photon. It's the smallest bit of light.

0:16:22.480 --> 0:16:24.520
<v Speaker 4>Like if I if I'm shooting lighters are in frequency,

0:16:24.960 --> 0:16:27.080
<v Speaker 4>the little steps that I see as I dial down

0:16:27.440 --> 0:16:30.000
<v Speaker 4>the power to it, that's what you would call a photon.

0:16:30.160 --> 0:16:32.880
<v Speaker 1>Exactly. Those are photons. And so if you have a

0:16:32.880 --> 0:16:35.520
<v Speaker 1>bunch of light, you can always ask how many photons

0:16:35.560 --> 0:16:37.520
<v Speaker 1>are there. There's a specific number. It has to be

0:16:37.560 --> 0:16:40.840
<v Speaker 1>an integer number of photons. You don't usually notice this

0:16:40.920 --> 0:16:43.880
<v Speaker 1>because the number of photons usually around hitting your eyeball

0:16:43.920 --> 0:16:46.880
<v Speaker 1>is enormous. It doesn't really matter that they're countable. But

0:16:46.960 --> 0:16:49.160
<v Speaker 1>as things get very very small, then you can notice

0:16:49.320 --> 0:16:51.840
<v Speaker 1>that you can have zero or one or two photons.

0:16:52.120 --> 0:16:54.080
<v Speaker 1>You can't have one point seven photons.

0:16:54.440 --> 0:16:57.120
<v Speaker 4>Now, how do we think about light? Is it like

0:16:57.560 --> 0:16:59.720
<v Speaker 4>you say, it's like a packet, Like it's a discrete

0:17:00.040 --> 0:17:00.920
<v Speaker 4>a little object.

0:17:01.120 --> 0:17:03.000
<v Speaker 1>Yeah, So this really gets at the heart of the question,

0:17:03.360 --> 0:17:06.119
<v Speaker 1>because how you describe this object helps you answer the

0:17:06.200 --> 0:17:09.119
<v Speaker 1>question how big is it? And the answer is that

0:17:09.160 --> 0:17:12.240
<v Speaker 1>we think about light in lots of different contradictory ways,

0:17:12.280 --> 0:17:15.760
<v Speaker 1>depending on the context. Sometimes we think about light as

0:17:15.800 --> 0:17:18.119
<v Speaker 1>like a tiny little object, but we think about it

0:17:18.160 --> 0:17:21.280
<v Speaker 1>like a particle which has no extent, just like zero

0:17:21.520 --> 0:17:25.280
<v Speaker 1>volume particle. Sometimes we ignore the quantum nature of it

0:17:25.320 --> 0:17:27.840
<v Speaker 1>because it doesn't matter. We're thinking about really bright sources

0:17:27.840 --> 0:17:30.160
<v Speaker 1>where the quantum nature is irrelevant, so we just think

0:17:30.200 --> 0:17:33.920
<v Speaker 1>about it as classical waves of electromagnetism, the way people

0:17:33.920 --> 0:17:37.200
<v Speaker 1>did two hundred years ago. And sometimes we think about

0:17:37.320 --> 0:17:40.720
<v Speaker 1>light interacting with quantum particles like light hitting an electron,

0:17:40.800 --> 0:17:43.080
<v Speaker 1>and then we think about it as a little quantum

0:17:43.119 --> 0:17:46.720
<v Speaker 1>packet and excitation in the electromagnetic field. So we have

0:17:46.760 --> 0:17:49.719
<v Speaker 1>lots of different pictures of what a photon is, and

0:17:49.760 --> 0:17:51.520
<v Speaker 1>the one that we use depends kind of on the

0:17:51.600 --> 0:17:52.320
<v Speaker 1>question we're.

0:17:52.160 --> 0:17:55.360
<v Speaker 4>Asking, well, so do you want to then tackle each

0:17:55.400 --> 0:17:57.000
<v Speaker 4>one of these different ways to look at it at

0:17:57.000 --> 0:17:57.320
<v Speaker 4>a time?

0:17:57.400 --> 0:17:59.600
<v Speaker 1>Yeah, sure, I think probably the most relevant in this

0:17:59.720 --> 0:18:02.640
<v Speaker 1>case is the quantum field theory one the last one

0:18:02.640 --> 0:18:05.000
<v Speaker 1>we talked about, But each one gives you a different answer.

0:18:05.440 --> 0:18:07.960
<v Speaker 4>All right, well, then let's maybe tackle each one of these.

0:18:08.320 --> 0:18:11.600
<v Speaker 4>What does quantum field theory say about the nature of light.

0:18:11.840 --> 0:18:15.920
<v Speaker 1>Quantum field theory is an updated version of classical field theory,

0:18:15.920 --> 0:18:18.879
<v Speaker 1>which sounds fancy, but it just says light is a

0:18:18.920 --> 0:18:22.720
<v Speaker 1>wave in the electromagnetic field. That's what Faraday and Maxwell

0:18:22.760 --> 0:18:25.000
<v Speaker 1>and those guys figured out a couple of hundred years ago.

0:18:25.440 --> 0:18:28.239
<v Speaker 1>That the universe is filled with this electromagnetic field, and

0:18:28.280 --> 0:18:31.000
<v Speaker 1>that waves in it are what we call light, and

0:18:31.080 --> 0:18:33.520
<v Speaker 1>so you can shoot light from one planet to another,

0:18:33.600 --> 0:18:36.120
<v Speaker 1>and the medium for that is the electromagnetic field. Even

0:18:36.160 --> 0:18:38.520
<v Speaker 1>though space is empty, it has these fields in it.

0:18:38.840 --> 0:18:40.960
<v Speaker 1>So light is a ripple in those fields. And we

0:18:41.000 --> 0:18:42.800
<v Speaker 1>talk about that all the time on the podcast. And

0:18:42.840 --> 0:18:45.280
<v Speaker 1>you have electric fields and magnetic fields and there are

0:18:45.400 --> 0:18:48.080
<v Speaker 1>ninety degrees from each other, and they're oscillating, and that's

0:18:48.119 --> 0:18:50.159
<v Speaker 1>what light is. From a classical point of view, that's

0:18:50.200 --> 0:18:54.200
<v Speaker 1>a traditional classical field theory. The quantum field theory version

0:18:54.240 --> 0:18:56.880
<v Speaker 1>of that is the same. It just says that there's

0:18:56.920 --> 0:18:59.480
<v Speaker 1>a minimum to how much you can oscillate, so that

0:18:59.520 --> 0:19:01.680
<v Speaker 1>as you turn it down you discover that you can't

0:19:01.760 --> 0:19:04.639
<v Speaker 1>turn it to any intensity there's certain steps. So the

0:19:04.720 --> 0:19:07.359
<v Speaker 1>quantum field theory version says the universe is filled with

0:19:07.400 --> 0:19:11.119
<v Speaker 1>this electromagnetic field which has certain steps in energy that

0:19:11.160 --> 0:19:11.680
<v Speaker 1>it can take.

0:19:11.840 --> 0:19:14.000
<v Speaker 4>Well, I guess, first of all, I wonder if listeners

0:19:14.000 --> 0:19:16.280
<v Speaker 4>sometimes they get confused by this like I do, which

0:19:16.320 --> 0:19:18.639
<v Speaker 4>is that you say light is a wave, but like

0:19:18.720 --> 0:19:20.840
<v Speaker 4>if I think that's rippling through a field, But if

0:19:20.840 --> 0:19:23.640
<v Speaker 4>I think of a wave like rippling through a lake

0:19:24.000 --> 0:19:28.199
<v Speaker 4>or my bathtub, it's something that ripples outwards in all directions,

0:19:28.600 --> 0:19:29.920
<v Speaker 4>Or if I think of it like a wave in

0:19:29.960 --> 0:19:34.080
<v Speaker 4>the ocean, it's like this broad thing that's moving and

0:19:34.200 --> 0:19:37.880
<v Speaker 4>undulating across kind of a wide area. But in terms

0:19:37.920 --> 0:19:40.600
<v Speaker 4>of light, it's not that right. It's not spreading in

0:19:40.640 --> 0:19:42.920
<v Speaker 4>all directions, and it's not broad like that.

0:19:43.200 --> 0:19:45.080
<v Speaker 1>It can be though, I mean, think about a star.

0:19:45.720 --> 0:19:48.119
<v Speaker 1>A star is emitting light, and it's emitting light in

0:19:48.160 --> 0:19:51.399
<v Speaker 1>all directions, and before you think about the quantum nature

0:19:51.480 --> 0:19:53.680
<v Speaker 1>of it, it is in fact spreading out. And that's

0:19:53.680 --> 0:19:56.760
<v Speaker 1>why stars seem more dim the further you are away

0:19:56.800 --> 0:19:59.520
<v Speaker 1>from them, right, because the intensity of the light drops

0:19:59.560 --> 0:20:02.200
<v Speaker 1>with the dis and squared, and so you have a

0:20:02.560 --> 0:20:04.919
<v Speaker 1>light waves which start out very intense and then they

0:20:05.000 --> 0:20:07.600
<v Speaker 1>spread out and so they get dimmer and dimmer. The

0:20:07.680 --> 0:20:10.560
<v Speaker 1>quantum version of that is the same, except that now

0:20:10.600 --> 0:20:13.760
<v Speaker 1>you have individual photons being sent out and close to

0:20:13.840 --> 0:20:15.960
<v Speaker 1>the star you have a high intensity of those photons,

0:20:16.000 --> 0:20:18.880
<v Speaker 1>and further away you have a smaller intensity of those photons.

0:20:18.880 --> 0:20:21.600
<v Speaker 1>And you can understand why the intensity of the photon

0:20:21.880 --> 0:20:24.600
<v Speaker 1>drops as you get further away because the space they're

0:20:24.600 --> 0:20:27.520
<v Speaker 1>feeling is getting bigger and bigger. And so if you

0:20:27.600 --> 0:20:29.440
<v Speaker 1>have like the same size eyeball and you're going to

0:20:29.480 --> 0:20:32.280
<v Speaker 1>have fewer number of photons hit your eyeball when you're

0:20:32.320 --> 0:20:34.720
<v Speaker 1>further away than when you are close up to the star.

0:20:35.280 --> 0:20:36.800
<v Speaker 4>Right, you can sort of think about it that way.

0:20:36.840 --> 0:20:38.880
<v Speaker 4>But I guess what do you call the photon? Then?

0:20:39.000 --> 0:20:42.480
<v Speaker 4>Is the photon the ripple that's shooting in all directions

0:20:43.119 --> 0:20:47.960
<v Speaker 4>or just if you catch that ripple in a particular spot,

0:20:48.040 --> 0:20:49.359
<v Speaker 4>you know what I mean? Like you can imagine a

0:20:49.400 --> 0:20:53.159
<v Speaker 4>star and it's rippling light out. Is a photon that

0:20:53.480 --> 0:20:56.320
<v Speaker 4>a ring that emanates from the star? Or what?

0:20:56.560 --> 0:20:59.199
<v Speaker 1>Yeah, great question? Say you slow the star down so

0:20:59.240 --> 0:21:02.640
<v Speaker 1>it's only emitting one photon at a time somehow, right,

0:21:02.880 --> 0:21:05.639
<v Speaker 1>like a single photon star Basically, we're just putting a

0:21:05.680 --> 0:21:07.480
<v Speaker 1>laser out there in space, but it's interesting to think

0:21:07.480 --> 0:21:10.360
<v Speaker 1>about how it could go in any direction. So then

0:21:10.400 --> 0:21:13.000
<v Speaker 1>any individual photon has the same probability to go in

0:21:13.040 --> 0:21:16.199
<v Speaker 1>any direction from the star if it's totally symmetric, and

0:21:16.280 --> 0:21:20.119
<v Speaker 1>so an individual photon has a ring of probability around

0:21:20.119 --> 0:21:22.600
<v Speaker 1>the star where it can go, and then when it

0:21:22.640 --> 0:21:25.600
<v Speaker 1>actually hits something, then the universe decides, Okay, this one's

0:21:25.600 --> 0:21:27.679
<v Speaker 1>over here, this one's over there. It's just like when

0:21:27.720 --> 0:21:29.959
<v Speaker 1>you shoot photons at a screen. They have a range

0:21:30.000 --> 0:21:32.640
<v Speaker 1>of possible locations where they can land, and then when

0:21:32.640 --> 0:21:35.399
<v Speaker 1>the photon actually hits that's when the universe decides this

0:21:35.520 --> 0:21:38.160
<v Speaker 1>photon's over here, and this photon's over there. So yeah,

0:21:38.200 --> 0:21:40.639
<v Speaker 1>individual photons come out in only one direction, but they

0:21:40.680 --> 0:21:43.480
<v Speaker 1>have a probability to come out in any direction. There's

0:21:43.480 --> 0:21:44.920
<v Speaker 1>a bit of a quantum wrinkle there.

0:21:45.119 --> 0:21:47.800
<v Speaker 4>So it's a little bit like the Schrodinger's cat. I

0:21:47.840 --> 0:21:49.920
<v Speaker 4>know you don't always like this analogy, but it's sort

0:21:49.920 --> 0:21:52.040
<v Speaker 4>of like the photon as it comes out of the

0:21:52.040 --> 0:21:55.280
<v Speaker 4>sun or the star, it's in all directions at the

0:21:55.280 --> 0:21:55.800
<v Speaker 4>same time.

0:21:56.200 --> 0:21:58.880
<v Speaker 1>It has the possibility, the probabilities to be in all

0:21:58.920 --> 0:22:01.479
<v Speaker 1>directions at the same time. You can only ever observe

0:22:01.520 --> 0:22:03.760
<v Speaker 1>it in one. So it depends what you mean by

0:22:03.840 --> 0:22:06.160
<v Speaker 1>like it is in those places at the same time.

0:22:06.320 --> 0:22:08.840
<v Speaker 1>It has the possibility to be there, can never be

0:22:08.920 --> 0:22:11.080
<v Speaker 1>seen to be in more than one place at once.

0:22:11.840 --> 0:22:16.440
<v Speaker 4>So like it emanates like a bubble basically out of

0:22:16.480 --> 0:22:20.119
<v Speaker 4>the star, that ripple that's the photon technically, right until

0:22:20.160 --> 0:22:22.560
<v Speaker 4>something hits it, or until it hits something in my

0:22:22.680 --> 0:22:24.439
<v Speaker 4>role to die and say okay, yeah, that's where I

0:22:24.520 --> 0:22:24.800
<v Speaker 4>was at.

0:22:25.080 --> 0:22:26.280
<v Speaker 1>Yeah, that's right.

0:22:26.560 --> 0:22:30.440
<v Speaker 4>So then these ripples, these bubble ripples, have a wavelength

0:22:30.480 --> 0:22:30.760
<v Speaker 4>to them.

0:22:30.920 --> 0:22:34.280
<v Speaker 1>Yeah, exactly, So these bubble ripples have a wavelength, right.

0:22:34.440 --> 0:22:37.440
<v Speaker 1>High energy photons have a very short wavelength, like blue

0:22:37.440 --> 0:22:41.760
<v Speaker 1>photons have a shorter wavelength a higher frequency than red photons,

0:22:41.760 --> 0:22:45.040
<v Speaker 1>which have a longer wavelength and a shorter frequency. And

0:22:45.080 --> 0:22:47.880
<v Speaker 1>so that immediately feels like ooh, that might be part

0:22:47.920 --> 0:22:50.679
<v Speaker 1>of the answer that tells us about the length of

0:22:50.720 --> 0:22:53.879
<v Speaker 1>these photons, because red photons have a longer wiggle than

0:22:53.920 --> 0:22:56.760
<v Speaker 1>blue photons, which have a shorter wiggle, And the answer

0:22:56.880 --> 0:22:59.199
<v Speaker 1>is sort of in that direction, but it's not the

0:22:59.280 --> 0:23:02.720
<v Speaker 1>answer of red photon with a very specific energy. It's

0:23:02.760 --> 0:23:05.800
<v Speaker 1>the length of the photon, is not the wavelength of

0:23:05.840 --> 0:23:06.479
<v Speaker 1>that ripple.

0:23:06.720 --> 0:23:09.159
<v Speaker 4>Well, let's talk a little bit about this wavelength. How

0:23:09.200 --> 0:23:12.840
<v Speaker 4>do you measure this wavelength? Like, it's the distance at

0:23:12.880 --> 0:23:15.640
<v Speaker 4>which the ripple repeats itself.

0:23:15.960 --> 0:23:18.960
<v Speaker 1>Yeah, remember we're talking about a ripple in the electromagnetic field.

0:23:19.320 --> 0:23:22.439
<v Speaker 1>What is the electromagnetic field. It's a vector in space,

0:23:22.480 --> 0:23:24.919
<v Speaker 1>which means every point in space has an arrow with

0:23:25.000 --> 0:23:27.160
<v Speaker 1>a direction in it. That's confusing to you. You can

0:23:27.200 --> 0:23:29.679
<v Speaker 1>just pretend it's just a number. Don't worry about the vector.

0:23:29.800 --> 0:23:33.280
<v Speaker 1>And the wavelength tells you when the electromagnetic field returns

0:23:33.320 --> 0:23:36.879
<v Speaker 1>to its original value. Right, So the electromagnetic field is

0:23:36.920 --> 0:23:39.040
<v Speaker 1>pointing up and then it oscillates down, and then it

0:23:39.080 --> 0:23:41.520
<v Speaker 1>oscillates back up again. And this is just like the

0:23:41.520 --> 0:23:43.240
<v Speaker 1>direction of the electric field.

0:23:43.040 --> 0:23:45.840
<v Speaker 4>Meaning like it increases in value. Like if I put

0:23:45.840 --> 0:23:48.200
<v Speaker 4>my finger in front of me, that's a point in space,

0:23:48.480 --> 0:23:51.120
<v Speaker 4>and that point in space has an electromagnet field going

0:23:51.119 --> 0:23:52.879
<v Speaker 4>through it, and that field can certainly have a value

0:23:52.880 --> 0:23:53.840
<v Speaker 4>where I'm pointing my finger.

0:23:54.200 --> 0:23:57.040
<v Speaker 1>The electromagnetic field has a value at every point in space. Yes,

0:23:57.080 --> 0:23:58.800
<v Speaker 1>it has a vector value, which means it has a

0:23:58.840 --> 0:24:00.280
<v Speaker 1>direction and a line length.

0:24:00.560 --> 0:24:02.960
<v Speaker 4>H right, But we're just talking about value, and so

0:24:03.119 --> 0:24:05.960
<v Speaker 4>like where I'm pointing, my finger can suddenly go up

0:24:05.960 --> 0:24:08.560
<v Speaker 4>in value, like it can be zero right now, zero zero,

0:24:08.640 --> 0:24:09.920
<v Speaker 4>but suddenly it can go up to ten.

0:24:10.080 --> 0:24:12.159
<v Speaker 1>Yeah, exactly. It can change with time.

0:24:12.800 --> 0:24:15.000
<v Speaker 4>And then it can go back down to zero. And

0:24:15.040 --> 0:24:15.760
<v Speaker 4>that's a ripple.

0:24:15.920 --> 0:24:17.760
<v Speaker 1>And if you want to think about the wavelength, you

0:24:17.760 --> 0:24:20.119
<v Speaker 1>know you have your finger at one point and the

0:24:20.160 --> 0:24:23.240
<v Speaker 1>electromagnetic field has a value there. If there's a photon

0:24:23.359 --> 0:24:25.960
<v Speaker 1>moving through space there, then if you could put another

0:24:26.040 --> 0:24:28.600
<v Speaker 1>finger somewhere else, you can ask where do I have

0:24:28.640 --> 0:24:30.440
<v Speaker 1>to put my other finger so it has the same

0:24:30.520 --> 0:24:32.880
<v Speaker 1>value as my first finger. And that's what the wavelength

0:24:32.920 --> 0:24:35.400
<v Speaker 1>is telling us. Because the wavelength tells us the electromagnetic

0:24:35.440 --> 0:24:37.680
<v Speaker 1>field goes up and then down, where does it come

0:24:37.720 --> 0:24:41.400
<v Speaker 1>back to its original value? That's the wavelength. For blue photons,

0:24:41.440 --> 0:24:43.760
<v Speaker 1>your two fingers be closer together, and for red photons,

0:24:43.760 --> 0:24:45.080
<v Speaker 1>your fingers would be further apart.

0:24:45.480 --> 0:24:48.439
<v Speaker 4>And so light is like the value going up in

0:24:48.480 --> 0:24:50.439
<v Speaker 4>one of my fingers and down and then go up

0:24:50.480 --> 0:24:53.080
<v Speaker 4>and down in my other finger. But it only happens

0:24:53.119 --> 0:24:56.879
<v Speaker 4>once for each photon, like a photon passing through is

0:24:56.960 --> 0:24:58.800
<v Speaker 4>just a one wave, right.

0:24:58.920 --> 0:25:01.159
<v Speaker 1>I understand why that's fue but that's not actually what

0:25:01.240 --> 0:25:04.360
<v Speaker 1>one photon is. And this is going to sound like nonsense,

0:25:04.440 --> 0:25:06.919
<v Speaker 1>But a single photon of specific energy, like if you

0:25:06.960 --> 0:25:10.960
<v Speaker 1>say exactly what the wavelength is, that photon actually has

0:25:11.000 --> 0:25:15.760
<v Speaker 1>an infinite size in space, like that photon exists everywhere

0:25:15.760 --> 0:25:17.800
<v Speaker 1>in the universe. I told you it was going to

0:25:17.840 --> 0:25:21.639
<v Speaker 1>sound like nonsense. Tried to warn you.

0:25:23.040 --> 0:25:24.800
<v Speaker 4>Well, it sounds like we're going to get a pretty

0:25:24.800 --> 0:25:27.679
<v Speaker 4>deep into this, So why don't we take a quick break,

0:25:27.800 --> 0:25:30.120
<v Speaker 4>and then when we come back, we'll dig into what

0:25:30.160 --> 0:25:33.480
<v Speaker 4>it means for light to be everywhere all at once.

0:25:33.760 --> 0:25:35.920
<v Speaker 4>So let's do that, But first let's take a quick break.

0:25:40.080 --> 0:25:43.080
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0:28:16.560 --> 0:28:20.000
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0:29:17.640 --> 0:29:21.080
<v Speaker 4>All right, we're talking about light and how long light is,

0:29:21.920 --> 0:29:24.720
<v Speaker 4>and Daniel, you just kind of blew our minds here

0:29:24.800 --> 0:29:27.440
<v Speaker 4>and said that light can be everywhere, all at once,

0:29:28.000 --> 0:29:31.200
<v Speaker 4>which is the name of a great movie which coincidentally

0:29:31.200 --> 0:29:32.600
<v Speaker 4>involved hot dog Fingers.

0:29:33.160 --> 0:29:36.240
<v Speaker 1>That's true, not coincidentally, man, that was the long term

0:29:36.360 --> 0:29:37.920
<v Speaker 1>plan for this whole joke. I was going to bring

0:29:38.000 --> 0:29:38.360
<v Speaker 1>up back.

0:29:39.720 --> 0:29:43.960
<v Speaker 4>Yes, it was just a giant plug for a movie.

0:29:44.760 --> 0:29:46.640
<v Speaker 1>Eight twenty four. Send us some free passes.

0:29:47.080 --> 0:29:50.160
<v Speaker 4>Yeah, there you go. So we're talking about like a

0:29:50.200 --> 0:29:53.280
<v Speaker 4>photon is a giant bubble that emanates from a light source.

0:29:54.000 --> 0:29:56.960
<v Speaker 4>It's everywhere, all at once, in all directions until something

0:29:57.040 --> 0:29:59.920
<v Speaker 4>hits it. But then if I'm the person that it hit,

0:30:00.760 --> 0:30:03.160
<v Speaker 4>you're saying, it's not something that just washes over me.

0:30:03.400 --> 0:30:05.080
<v Speaker 1>Yes, So we're going to talk about the length of

0:30:05.120 --> 0:30:07.760
<v Speaker 1>a photon, then we have to know something about the

0:30:07.880 --> 0:30:10.280
<v Speaker 1>energy of the photon. And you might think, hold on,

0:30:10.360 --> 0:30:13.640
<v Speaker 1>isn't he changing the subject. Remember that for quantum objects,

0:30:13.960 --> 0:30:16.960
<v Speaker 1>their location and the uncertainty in their location, how well

0:30:17.000 --> 0:30:20.680
<v Speaker 1>you can pin that down is intimately connected with their energy.

0:30:20.920 --> 0:30:24.080
<v Speaker 1>The Heisenberg uncertainty principle tells us that you can't know

0:30:24.200 --> 0:30:27.560
<v Speaker 1>perfectly well the energy of an object or its momentum

0:30:27.720 --> 0:30:31.880
<v Speaker 1>nearly equivalently and its location. And so for a photon,

0:30:32.280 --> 0:30:34.880
<v Speaker 1>if you know exactly its energy, if I have a laser,

0:30:34.920 --> 0:30:38.840
<v Speaker 1>for example, which always puts out photons at one wavelength,

0:30:38.840 --> 0:30:41.600
<v Speaker 1>and I know it exactly those photons because we specify

0:30:41.640 --> 0:30:44.640
<v Speaker 1>their energy precisely, that means we can't know anything about

0:30:44.680 --> 0:30:47.800
<v Speaker 1>their location. And so like the quantum field theory version

0:30:47.840 --> 0:30:51.040
<v Speaker 1>says that the whole universe, the electromagnetic fields of the

0:30:51.120 --> 0:30:56.120
<v Speaker 1>whole universe, has that photon in it. It's oscillating simultaneously everywhere.

0:30:56.600 --> 0:30:58.640
<v Speaker 4>And now I guess it's getting kind of harry because

0:30:58.680 --> 0:31:01.120
<v Speaker 4>we just talked about how like a food is a ripple,

0:31:01.240 --> 0:31:03.520
<v Speaker 4>like a bubble that emanates from a star or a

0:31:03.640 --> 0:31:06.640
<v Speaker 4>light source, right, and so that bubble is getting bigger

0:31:06.640 --> 0:31:09.840
<v Speaker 4>and bigger until it hits something. But that bubble kind

0:31:09.840 --> 0:31:13.160
<v Speaker 4>of has a location, right, It's on the surface of

0:31:13.200 --> 0:31:15.080
<v Speaker 4>that bubble. So how can it be on the surface

0:31:15.120 --> 0:31:17.200
<v Speaker 4>of the bubble and also everywhere all at once?

0:31:17.360 --> 0:31:20.680
<v Speaker 1>Yeah, great question. The answer is in the uncertainty of

0:31:20.720 --> 0:31:24.760
<v Speaker 1>its energy. If a star really could produce photons of

0:31:24.840 --> 0:31:28.360
<v Speaker 1>exactly one energy, then they would be everywhere all at once.

0:31:28.680 --> 0:31:31.840
<v Speaker 1>But that's totally unphysical. You can't have something weighed everywhere

0:31:31.880 --> 0:31:34.640
<v Speaker 1>in the universe all at once, right, That like violates

0:31:34.640 --> 0:31:37.600
<v Speaker 1>all sorts of principles of relativity. Quantum mechanics and relativity

0:31:37.680 --> 0:31:40.000
<v Speaker 1>sometimes take a little bit of conceptual glue to stick together.

0:31:40.520 --> 0:31:42.880
<v Speaker 1>The way to resolve it is to realize, well, there

0:31:42.920 --> 0:31:45.760
<v Speaker 1>are no such photons in the universe. Nothing is actually

0:31:45.760 --> 0:31:50.160
<v Speaker 1>made with that exact, super specific energy. In reality, photons

0:31:50.200 --> 0:31:52.960
<v Speaker 1>always have an uncertainty in their energy. A star is

0:31:53.040 --> 0:31:56.640
<v Speaker 1>never making exact energy photons. There's always a spread. Even

0:31:56.720 --> 0:31:59.400
<v Speaker 1>lasers that you think of as having one specific energy,

0:31:59.480 --> 0:32:03.560
<v Speaker 1>there's always uncertainty. Even atoms when they're emitting photons between

0:32:03.680 --> 0:32:06.520
<v Speaker 1>energy levels, there's always a little bit of fuzziness there.

0:32:06.880 --> 0:32:09.920
<v Speaker 1>So there's an uncertainty in the photon's energy, and the

0:32:09.960 --> 0:32:12.840
<v Speaker 1>more uncertainty in the energy, the more constrained the photon

0:32:12.880 --> 0:32:15.280
<v Speaker 1>can be in space. So what's coming out of the

0:32:15.320 --> 0:32:18.400
<v Speaker 1>star is a ripple, and it's localized in space because

0:32:18.440 --> 0:32:20.320
<v Speaker 1>there's an uncertainty in its energy.

0:32:20.520 --> 0:32:23.440
<v Speaker 4>Is the time at which it gets made also uncertain

0:32:23.960 --> 0:32:26.040
<v Speaker 4>or is that something we're allowed to know for sure,

0:32:26.680 --> 0:32:29.160
<v Speaker 4>because then you know, we know exactly when it was emanated,

0:32:29.200 --> 0:32:30.920
<v Speaker 4>and we know the speed of light never changes, then

0:32:30.960 --> 0:32:33.160
<v Speaker 4>we know sort of exactly where that bubble is.

0:32:33.560 --> 0:32:36.480
<v Speaker 1>Yeah, there's a Heisenberg and certainty relationship between uncertainty and

0:32:36.600 --> 0:32:39.280
<v Speaker 1>energy and uncertainty in time. So now you can't know

0:32:39.360 --> 0:32:40.920
<v Speaker 1>that exactly either either.

0:32:41.640 --> 0:32:43.800
<v Speaker 4>So there's three things or they're all tied together.

0:32:43.880 --> 0:32:46.560
<v Speaker 1>They're all tied together. There's location and momentum, and then

0:32:46.560 --> 0:32:49.400
<v Speaker 1>there's energy and time. Those are two separate Heisenberg and

0:32:49.400 --> 0:32:52.880
<v Speaker 1>certainty relationships. But for a photon, momentum and energy are

0:32:52.960 --> 0:32:56.040
<v Speaker 1>the same thing. They're only different from massive particles, and

0:32:56.120 --> 0:32:58.640
<v Speaker 1>so they really are all three things tied together by

0:32:58.680 --> 0:33:01.640
<v Speaker 1>this fuzziness. So it's the uncertainty. The fact that we

0:33:01.680 --> 0:33:05.640
<v Speaker 1>can never have pure, single energy photons means we always

0:33:05.680 --> 0:33:08.400
<v Speaker 1>get these packets, these blobs. It's like, well, maybe this

0:33:08.400 --> 0:33:10.920
<v Speaker 1>photon is this energy, maybe it has that energy, maybe

0:33:10.920 --> 0:33:14.120
<v Speaker 1>it has this other energy, And that's what defines the

0:33:14.280 --> 0:33:17.320
<v Speaker 1>length of a photon. It's really a packet of this uncertainty,

0:33:17.720 --> 0:33:20.240
<v Speaker 1>and the amount of energy uncertainty in that packet gives

0:33:20.320 --> 0:33:23.000
<v Speaker 1>us the length of the uncertainty in its location.

0:33:23.440 --> 0:33:25.960
<v Speaker 4>Meaning like the bubble that emanates from the star or

0:33:26.080 --> 0:33:29.240
<v Speaker 4>light source is not like a hard bubble, like a

0:33:29.440 --> 0:33:32.800
<v Speaker 4>real like soap bubble, but it's actually more like an expanding,

0:33:32.840 --> 0:33:33.520
<v Speaker 4>fuzzy cloud.

0:33:33.680 --> 0:33:34.880
<v Speaker 1>Way I think about it is sort of like a

0:33:34.880 --> 0:33:37.760
<v Speaker 1>little wave packet. You've got lots of frequencies together. They

0:33:37.760 --> 0:33:40.920
<v Speaker 1>add a subject that they interfere positively and negatively to

0:33:40.960 --> 0:33:43.840
<v Speaker 1>give you this wave packet that's moving through space. For

0:33:43.880 --> 0:33:46.000
<v Speaker 1>those of you out there who know like signal analysis

0:33:46.040 --> 0:33:49.320
<v Speaker 1>or Fourier analysis, you know that like a single momentum

0:33:49.320 --> 0:33:51.440
<v Speaker 1>corresponds to an infinite extent in space. But if you

0:33:51.440 --> 0:33:53.920
<v Speaker 1>add up a bunch of different momentum and different frequencies,

0:33:54.120 --> 0:33:56.440
<v Speaker 1>you can make any sort of shape you want in space.

0:33:56.880 --> 0:33:59.040
<v Speaker 4>Right, But then I feel like this, all this uncertainty

0:33:59.080 --> 0:34:02.000
<v Speaker 4>comes from that we don't know when it was made,

0:34:02.200 --> 0:34:04.200
<v Speaker 4>this photon, we don't know how it was made. We

0:34:04.200 --> 0:34:06.360
<v Speaker 4>don't know how energy it had when it was made.

0:34:06.520 --> 0:34:08.480
<v Speaker 4>But once we detect it, we sort of do know

0:34:08.520 --> 0:34:09.080
<v Speaker 4>all these things.

0:34:09.160 --> 0:34:11.320
<v Speaker 1>Right, Well, we never measure an energy of a photon

0:34:11.440 --> 0:34:14.200
<v Speaker 1>exactly right. You can never precisely measure the energy of

0:34:14.200 --> 0:34:16.279
<v Speaker 1>a photon. How do you measure it anyway? You have

0:34:16.360 --> 0:34:19.279
<v Speaker 1>it impact some device, and that device has some mechanism

0:34:19.320 --> 0:34:21.879
<v Speaker 1>inside of it, and you read that number off. There's

0:34:21.920 --> 0:34:24.919
<v Speaker 1>always uncertainty, not just because the mechanism is something cheap

0:34:24.960 --> 0:34:27.560
<v Speaker 1>you bought off Amazon, but because there is an inherent

0:34:27.640 --> 0:34:30.280
<v Speaker 1>quantum uncertainty in the measurement itself.

0:34:30.640 --> 0:34:32.799
<v Speaker 4>There's a little bit of uncertainty, sure, But like when

0:34:32.800 --> 0:34:34.640
<v Speaker 4>I'm looking at a hot dog, it doesn't suddenly turn

0:34:34.760 --> 0:34:37.440
<v Speaker 4>yellow or purple, or hopefully it doesn't turn yellow and

0:34:37.480 --> 0:34:38.480
<v Speaker 4>purple as I look at it.

0:34:38.520 --> 0:34:40.640
<v Speaker 1>The hot dog is not a laser, and it's not

0:34:40.680 --> 0:34:44.520
<v Speaker 1>an idealized laser. It's emitting a spread of colors, and

0:34:44.600 --> 0:34:47.080
<v Speaker 1>so every photon that comes out of that hot dog

0:34:47.120 --> 0:34:48.960
<v Speaker 1>has the possibility to be a little greener or a

0:34:48.960 --> 0:34:51.960
<v Speaker 1>little redder, or a little bluer. There's the fussiness in

0:34:52.000 --> 0:34:54.040
<v Speaker 1>every single photon that comes out of the hot dog.

0:34:54.960 --> 0:34:56.920
<v Speaker 4>But once I measure it, don't I know exactly what

0:34:57.000 --> 0:34:57.919
<v Speaker 4>frequency it had.

0:34:58.080 --> 0:35:00.279
<v Speaker 1>There's still an uncertainty when you measure it, So yeah,

0:35:00.280 --> 0:35:02.200
<v Speaker 1>it does collapse some of that uncertainly. I mean you

0:35:02.200 --> 0:35:04.200
<v Speaker 1>see a blue photon, or you see a red photon,

0:35:04.280 --> 0:35:06.759
<v Speaker 1>or you see a green photon, but again still never

0:35:06.840 --> 0:35:07.719
<v Speaker 1>super precisely.

0:35:07.920 --> 0:35:11.080
<v Speaker 4>What if we had a perfect measurement device and we

0:35:11.120 --> 0:35:14.840
<v Speaker 4>can collapse it perfectly, would we know it's exact frequency?

0:35:15.280 --> 0:35:17.120
<v Speaker 1>I think such a device would have to be the

0:35:17.160 --> 0:35:19.160
<v Speaker 1>size of the universe, and so then you would know

0:35:19.200 --> 0:35:20.359
<v Speaker 1>nothing about where it was.

0:35:20.800 --> 0:35:21.600
<v Speaker 4>Can you explain that?

0:35:21.680 --> 0:35:24.080
<v Speaker 1>First of all, a device that measures anything exactly is

0:35:24.160 --> 0:35:27.080
<v Speaker 1>just impossible. Right, You can take the limit of something

0:35:27.160 --> 0:35:29.520
<v Speaker 1>you can start with, like what's the most precise measurement

0:35:29.520 --> 0:35:31.399
<v Speaker 1>device I can have, and then try to think about

0:35:31.440 --> 0:35:33.759
<v Speaker 1>taking the limit of it to perfect precision. Or to

0:35:33.800 --> 0:35:36.240
<v Speaker 1>measure something very precisely that has a lot of energy,

0:35:36.360 --> 0:35:38.080
<v Speaker 1>you need to have an object which you can interact

0:35:38.239 --> 0:35:41.279
<v Speaker 1>with photons of very different wavelengths. Right, wavelengths can be

0:35:41.360 --> 0:35:43.839
<v Speaker 1>very very short for very high energy, or very very

0:35:43.960 --> 0:35:46.840
<v Speaker 1>large for very low energy, and so measuring things that

0:35:46.880 --> 0:35:49.960
<v Speaker 1>are very very large requires large objects. Like you want

0:35:50.000 --> 0:35:53.280
<v Speaker 1>to receive radio waves, you need a very big antenna.

0:35:53.640 --> 0:35:56.799
<v Speaker 1>You want to receive microwaves, you need very small antennas.

0:35:57.000 --> 0:35:59.520
<v Speaker 1>So you want to measure something super precisely. That can

0:35:59.560 --> 0:36:02.200
<v Speaker 1>be of any wavelength. You're going to need essentially an

0:36:02.200 --> 0:36:03.719
<v Speaker 1>antenna to size of the universe.

0:36:04.160 --> 0:36:06.799
<v Speaker 4>Oh boy, that's a that would be a very big

0:36:06.840 --> 0:36:07.279
<v Speaker 4>hot dog.

0:36:08.120 --> 0:36:09.359
<v Speaker 1>It costs more than a hot dog.

0:36:09.400 --> 0:36:11.520
<v Speaker 4>All right, But maybe let's give up on perfection and

0:36:11.560 --> 0:36:14.840
<v Speaker 4>say that you know, I measure a photon coming for

0:36:15.000 --> 0:36:17.320
<v Speaker 4>my hot dog, and I see that it's red plus

0:36:17.400 --> 0:36:19.920
<v Speaker 4>or minus point one hurts. That's a pretty good measurement

0:36:19.960 --> 0:36:23.000
<v Speaker 4>of its wavelength. No, we can get to that point, right.

0:36:23.200 --> 0:36:26.279
<v Speaker 1>Yeah, you can make fairly precise measurements of individual photons. Yes,

0:36:26.520 --> 0:36:30.720
<v Speaker 1>you can also produce sources of photons that are fairly pure,

0:36:30.760 --> 0:36:33.640
<v Speaker 1>that are very tight bands of energy ranges. Yeah.

0:36:33.719 --> 0:36:36.000
<v Speaker 4>So then if I know the wavelength of the photon,

0:36:36.120 --> 0:36:38.319
<v Speaker 4>doesn't that give me a sense of how long it is.

0:36:38.760 --> 0:36:40.680
<v Speaker 1>If you know the wavelength of the photon and you

0:36:40.719 --> 0:36:44.000
<v Speaker 1>know the uncertainty in that wavelength, then yes, that defines

0:36:44.080 --> 0:36:47.560
<v Speaker 1>the length of this wave packet, all these possible photons

0:36:47.560 --> 0:36:50.320
<v Speaker 1>that are flying through space together. It's a little unsatisfying

0:36:50.320 --> 0:36:53.160
<v Speaker 1>as an answer because it's not something inherent to the photon.

0:36:53.680 --> 0:36:55.879
<v Speaker 1>It's like you got a bunch of these blobs all

0:36:55.920 --> 0:36:58.960
<v Speaker 1>moving together. Through the universe. The answer how long is

0:36:59.000 --> 0:37:02.239
<v Speaker 1>the photon depends sort of like on your uncertainty in

0:37:02.280 --> 0:37:04.640
<v Speaker 1>your knowledge of its energy. So I think it's accurate

0:37:04.640 --> 0:37:06.279
<v Speaker 1>from a quantum mechanical point of view, but it's very

0:37:06.360 --> 0:37:09.320
<v Speaker 1>unsatisfying from a philosophical point of view because it feels

0:37:09.360 --> 0:37:12.520
<v Speaker 1>like the photon should have a length that's just inherent

0:37:12.640 --> 0:37:15.040
<v Speaker 1>to it. It shouldn't depend on like your measurement of it

0:37:15.440 --> 0:37:16.480
<v Speaker 1>or your knowledge of it.

0:37:16.760 --> 0:37:19.400
<v Speaker 4>But it doesn't sort of depend on my knowledge or

0:37:19.520 --> 0:37:21.400
<v Speaker 4>measurement of it, right, Like if I measured and I

0:37:21.480 --> 0:37:23.799
<v Speaker 4>measured the red plus or minus point what hurts, and

0:37:23.880 --> 0:37:25.759
<v Speaker 4>somebody else measureed would have measured it, they would have

0:37:25.880 --> 0:37:27.880
<v Speaker 4>probably gone the same result, right, Yeah.

0:37:27.760 --> 0:37:30.319
<v Speaker 1>It doesn't depend on your particular knowledge of it. There

0:37:30.360 --> 0:37:33.640
<v Speaker 1>is an inherent uncertainty in it because it's a quantum state,

0:37:34.000 --> 0:37:36.400
<v Speaker 1>and to me that's a little bit unsatisfying. The idea

0:37:36.440 --> 0:37:38.520
<v Speaker 1>that it doesn't have a fixed length, or that it's

0:37:38.640 --> 0:37:42.160
<v Speaker 1>length somehow depends on that uncertainty. To answer your specific question,

0:37:42.560 --> 0:37:45.080
<v Speaker 1>if there's uncertainty, it means that no two people would

0:37:45.080 --> 0:37:48.279
<v Speaker 1>make exactly the same measurement. They'd be probably consistent, you know,

0:37:48.360 --> 0:37:51.719
<v Speaker 1>within the uncertainties, but they wouldn't get exactly the same answer.

0:37:51.560 --> 0:37:55.279
<v Speaker 4>Right, right, We would all see it as vapor hotdog, right,

0:37:55.320 --> 0:37:57.600
<v Speaker 4>and so couldn't you. I mean, I know we're not

0:37:57.760 --> 0:37:59.959
<v Speaker 4>we can't ever get super preciped, but we can probably

0:38:00.120 --> 0:38:02.359
<v Speaker 4>say you and I can both agree that, yeah, that's

0:38:02.480 --> 0:38:04.600
<v Speaker 4>vapor hot dog and not miss the hot dog.

0:38:05.040 --> 0:38:07.440
<v Speaker 1>Yeah. And I'm not saying photons don't have a length.

0:38:07.480 --> 0:38:09.520
<v Speaker 1>I'm just saying that the length depends not just on

0:38:09.600 --> 0:38:12.759
<v Speaker 1>the wavelength of light, but on the uncertainty on the wavelength,

0:38:12.800 --> 0:38:14.560
<v Speaker 1>because in the end they're quantum objects.

0:38:14.840 --> 0:38:16.920
<v Speaker 4>Right, So then can we answer the question of how

0:38:16.920 --> 0:38:20.040
<v Speaker 4>long a photon is or was? Or is it that

0:38:20.080 --> 0:38:22.480
<v Speaker 4>we can only answer what the length of a footon was?

0:38:22.880 --> 0:38:25.280
<v Speaker 1>We can answer the question if you know the energy

0:38:25.360 --> 0:38:29.479
<v Speaker 1>and the uncertainty on that energy that determines the length

0:38:29.480 --> 0:38:31.560
<v Speaker 1>of the photon in this sense of length.

0:38:31.800 --> 0:38:33.880
<v Speaker 4>So that's good, right, possible?

0:38:35.080 --> 0:38:35.319
<v Speaker 1>Yeah?

0:38:35.600 --> 0:38:36.759
<v Speaker 4>Are you saying it's impossible?

0:38:36.800 --> 0:38:38.080
<v Speaker 1>No? No, I'm saying it's possible.

0:38:38.239 --> 0:38:40.920
<v Speaker 4>All right, So then that's the quantum field theory version

0:38:41.000 --> 0:38:43.600
<v Speaker 4>of a photon. You said that how long a footon is?

0:38:43.600 --> 0:38:46.040
<v Speaker 4>It depends on how you look at it. So then

0:38:46.120 --> 0:38:48.920
<v Speaker 4>if we assume light is a particle, can we measure

0:38:49.200 --> 0:38:50.360
<v Speaker 4>the length of that particle.

0:38:50.480 --> 0:38:52.480
<v Speaker 1>Yeah, the answer does depend a little bit on how

0:38:52.520 --> 0:38:54.399
<v Speaker 1>you look at it, because in some cases you don't

0:38:54.440 --> 0:38:56.879
<v Speaker 1>care about the length of photon. You don't care about

0:38:56.880 --> 0:38:59.440
<v Speaker 1>these details, and you don't care about the size of anything.

0:39:00.000 --> 0:39:01.719
<v Speaker 1>It's really really small, So you could just treat them

0:39:01.719 --> 0:39:04.760
<v Speaker 1>as zero point particles. And we talk on the podcast

0:39:04.760 --> 0:39:06.840
<v Speaker 1>a lot about how like electrons have no size and

0:39:06.920 --> 0:39:09.520
<v Speaker 1>quarks have no size, And the answer to that really

0:39:09.600 --> 0:39:11.440
<v Speaker 1>is they have no size that we measure or in

0:39:11.480 --> 0:39:14.040
<v Speaker 1>some cases that we care about, and so we can

0:39:14.080 --> 0:39:16.560
<v Speaker 1>treat them as if they're zero point particles with no

0:39:16.719 --> 0:39:19.279
<v Speaker 1>length to them. For some problems where it doesn't really

0:39:19.320 --> 0:39:21.399
<v Speaker 1>matter if they have length, you know, like when they're

0:39:21.480 --> 0:39:23.319
<v Speaker 1>hitting a screen, we didn't really care how long it

0:39:23.320 --> 0:39:25.480
<v Speaker 1>took to hit the screen or what their extent was.

0:39:25.520 --> 0:39:27.239
<v Speaker 1>As they were flying through space, we can just treat

0:39:27.280 --> 0:39:30.279
<v Speaker 1>them as if they were tiny, zero point particles, and

0:39:30.320 --> 0:39:33.440
<v Speaker 1>so that picture is useful for answering some kinds of questions,

0:39:33.480 --> 0:39:35.840
<v Speaker 1>just the same way we can think about classical waves

0:39:36.280 --> 0:39:37.240
<v Speaker 1>moving through space.

0:39:37.480 --> 0:39:39.520
<v Speaker 4>Well, I feel like it's sort of useful. Maybe I

0:39:39.560 --> 0:39:43.320
<v Speaker 4>wonder in some applications, like for example, let's say photons

0:39:43.320 --> 0:39:46.320
<v Speaker 4>are super duper long, they're the size of a planet

0:39:46.400 --> 0:39:50.960
<v Speaker 4>size hobo. Then when that photon hits me, it's going

0:39:50.960 --> 0:39:54.319
<v Speaker 4>to take a long time, you know, minute for me

0:39:54.400 --> 0:39:57.000
<v Speaker 4>to feel the photon all the way, as opposed to

0:39:57.560 --> 0:40:00.520
<v Speaker 4>if a photon is just an infinitely small point particle,

0:40:00.600 --> 0:40:03.680
<v Speaker 4>then I'm going to feel the photon instantly. So is

0:40:03.680 --> 0:40:06.560
<v Speaker 4>there sort of a time at which I get to

0:40:06.680 --> 0:40:09.480
<v Speaker 4>feel photons or is it relevant or what are the

0:40:09.480 --> 0:40:10.520
<v Speaker 4>hot dog dynamics here?

0:40:10.640 --> 0:40:12.880
<v Speaker 1>Yeah, so that's a great question, and to answer that question,

0:40:13.000 --> 0:40:15.239
<v Speaker 1>you definitely need to use the quantum field theory version

0:40:15.239 --> 0:40:16.799
<v Speaker 1>of a hot dog. You need to think about the

0:40:16.840 --> 0:40:20.640
<v Speaker 1>probability of photon having various wavelengths and those wavelengths overlapping

0:40:20.640 --> 0:40:23.640
<v Speaker 1>with you. When that probability wave packet overlaps with you,

0:40:23.680 --> 0:40:26.440
<v Speaker 1>and when it doesn't overlap with you, when it does collapse,

0:40:26.480 --> 0:40:29.520
<v Speaker 1>though it collapses instantly across the entire photon, you can't

0:40:29.560 --> 0:40:32.120
<v Speaker 1>feel like part of a photon. There is no part

0:40:32.120 --> 0:40:34.719
<v Speaker 1>of a photon, right. Photons are quantized.

0:40:34.239 --> 0:40:37.200
<v Speaker 4>Like when I feel a photon, it's instantaneous, is what

0:40:37.200 --> 0:40:38.080
<v Speaker 4>you're saying, yeah.

0:40:37.920 --> 0:40:41.000
<v Speaker 1>You feel the whole photon or no photons exactly or

0:40:41.080 --> 0:40:42.200
<v Speaker 1>so or seven photons?

0:40:42.400 --> 0:40:44.360
<v Speaker 4>What if it has like super duper big waves, like

0:40:44.360 --> 0:40:48.239
<v Speaker 4>we've talked about light waves having a wavelength the size

0:40:48.239 --> 0:40:51.320
<v Speaker 4>of a galaxy, for example, Like we feel those instantly

0:40:51.480 --> 0:40:53.120
<v Speaker 4>or do we need to wait a long time to

0:40:53.160 --> 0:40:53.600
<v Speaker 4>feel them?

0:40:53.760 --> 0:40:56.359
<v Speaker 1>Yeah, you either feel them or you don't. Right, there's

0:40:56.360 --> 0:40:59.560
<v Speaker 1>no time at which you're like cruing a photon.

0:41:00.120 --> 0:41:02.200
<v Speaker 4>Right, but the ripple of it isn't the ripple of

0:41:02.239 --> 0:41:04.040
<v Speaker 4>it in space long too?

0:41:04.280 --> 0:41:07.600
<v Speaker 1>Or what? Yeah, so photons could be really really long, right,

0:41:08.000 --> 0:41:10.400
<v Speaker 1>if you have a photon with really long wavelengths and

0:41:10.640 --> 0:41:13.680
<v Speaker 1>really large uncertainty, those photons could be the size of

0:41:13.719 --> 0:41:17.600
<v Speaker 1>a galaxy, absolutely, and that photon could interact with something

0:41:17.640 --> 0:41:20.360
<v Speaker 1>within the galaxy. Right, But then the whole photon collapses

0:41:20.400 --> 0:41:22.040
<v Speaker 1>all at once, just the same way that a pair

0:41:22.040 --> 0:41:25.040
<v Speaker 1>of entangled particles you shoot off in opposite directions, they're

0:41:25.040 --> 0:41:27.800
<v Speaker 1>really still part of one big quantum state. You measure

0:41:27.840 --> 0:41:30.560
<v Speaker 1>one on one side of the galaxy. The whole quantum

0:41:30.560 --> 0:41:34.160
<v Speaker 1>state collapses at once because it's really just one quantum state.

0:41:34.719 --> 0:41:38.160
<v Speaker 1>Same way for this galaxy size hot dog size photon

0:41:38.480 --> 0:41:40.080
<v Speaker 1>if it's really as big as the galaxy. If it

0:41:40.080 --> 0:41:43.399
<v Speaker 1>interacts anywhere, then the whole quantum state collapses at once.

0:41:44.520 --> 0:41:47.719
<v Speaker 4>So like you can think of it as having a

0:41:47.760 --> 0:41:49.799
<v Speaker 4>giant photon the size of a galaxy. But once I

0:41:49.840 --> 0:41:52.400
<v Speaker 4>catch it, it's really just a little tiny point particle.

0:41:52.680 --> 0:41:55.080
<v Speaker 1>Yeah, exactly. It interacts in that one spot, and you

0:41:55.120 --> 0:41:58.279
<v Speaker 1>might think, hold on a second, doesn't this violate special relativity?

0:41:58.280 --> 0:42:00.880
<v Speaker 1>And it feels like, you know, that might allow you

0:42:00.920 --> 0:42:03.440
<v Speaker 1>to send messages faster than time. And there is a

0:42:03.480 --> 0:42:07.719
<v Speaker 1>real subtlety there with how quantum theory and relativity interact.

0:42:07.880 --> 0:42:09.960
<v Speaker 1>We talked about in the podcast. It's the reason why

0:42:10.000 --> 0:42:13.600
<v Speaker 1>we have anti particles. Antiparticles patch all this up with

0:42:13.680 --> 0:42:16.440
<v Speaker 1>all these negative probabilities and make sure that everything is

0:42:16.480 --> 0:42:19.239
<v Speaker 1>following all the rules. Check out our episode on why

0:42:19.320 --> 0:42:22.320
<v Speaker 1>quantum mechanics and special relativity require anti particles.

0:42:22.320 --> 0:42:24.960
<v Speaker 4>Well, I feel like you're kind of making a judgment

0:42:25.080 --> 0:42:28.400
<v Speaker 4>on the particle view of light. You're saying it's not

0:42:28.520 --> 0:42:32.719
<v Speaker 4>really a particle or you ultimately have to kind of

0:42:32.719 --> 0:42:35.759
<v Speaker 4>go back to quantum theory to talk about light. We

0:42:35.800 --> 0:42:37.960
<v Speaker 4>can't stay in the particle view at for very long.

0:42:38.520 --> 0:42:42.160
<v Speaker 1>I'm definitely using this field picture here, thinking about light

0:42:42.280 --> 0:42:45.719
<v Speaker 1>as ripples in an electromagnetic field, and that I think

0:42:45.760 --> 0:42:48.480
<v Speaker 1>is the most mainstream view, But there's definitely a chunk

0:42:48.560 --> 0:42:51.520
<v Speaker 1>of particle theorists who think in the particle picture, and

0:42:51.560 --> 0:42:54.799
<v Speaker 1>you absolutely can you can replace the field with an

0:42:54.800 --> 0:42:58.000
<v Speaker 1>infinite number of virtual particles and do all the same

0:42:58.080 --> 0:43:01.120
<v Speaker 1>calculations and it all works. So what I've described is

0:43:01.120 --> 0:43:03.560
<v Speaker 1>the field picture of light as a ripple in this

0:43:03.640 --> 0:43:06.680
<v Speaker 1>electromagnetic field. You can also think about these probabilities in

0:43:06.760 --> 0:43:09.879
<v Speaker 1>terms of like these virtual particles, which are conceptually kind

0:43:09.880 --> 0:43:13.200
<v Speaker 1>of slippery because they're not really particles or really just probabilities.

0:43:13.280 --> 0:43:15.359
<v Speaker 1>But you can think about all these kind of interactions

0:43:15.360 --> 0:43:17.800
<v Speaker 1>and these transmissions in terms of an infinite number of

0:43:17.880 --> 0:43:20.239
<v Speaker 1>virtual particles, if you like. Though I think it's a

0:43:20.239 --> 0:43:22.240
<v Speaker 1>lot more awkward, especially in this case.

0:43:22.480 --> 0:43:24.879
<v Speaker 4>Well awkward is a relative tern Dane. They might say

0:43:24.920 --> 0:43:25.719
<v Speaker 4>the same thing about you.

0:43:26.160 --> 0:43:29.040
<v Speaker 1>Yeah, absolutely, and it's a little bit subjective. Mathematically, both

0:43:29.080 --> 0:43:31.560
<v Speaker 1>pictures work, so I'm trying not to make a judgment

0:43:31.800 --> 0:43:34.760
<v Speaker 1>on what is the best picture of the quantum universe.

0:43:34.960 --> 0:43:37.160
<v Speaker 1>There's a particle people and the fields people, and both

0:43:37.200 --> 0:43:40.360
<v Speaker 1>of them have strong cases conceptually, for me, the fields

0:43:40.400 --> 0:43:42.560
<v Speaker 1>picture is more intuitive, though that doesn't mean that it's

0:43:42.640 --> 0:43:43.520
<v Speaker 1>right right.

0:43:43.600 --> 0:43:46.640
<v Speaker 4>So then let's say we replace you, Daniel. We call

0:43:46.719 --> 0:43:50.399
<v Speaker 4>this podcast Mark and Jorge explain the universe, and Mark

0:43:50.440 --> 0:43:53.759
<v Speaker 4>happens to be a particle person that sees the world

0:43:53.800 --> 0:43:56.439
<v Speaker 4>as particles. How would they answer the question how long

0:43:56.560 --> 0:43:57.160
<v Speaker 4>is a particle?

0:43:57.320 --> 0:43:59.799
<v Speaker 1>Even in the particle picture of the universe, where there

0:43:59.840 --> 0:44:01.879
<v Speaker 1>are or no fields, there is just an infinite number

0:44:01.920 --> 0:44:04.400
<v Speaker 1>of real particles and an infint number of virtual particles

0:44:04.440 --> 0:44:08.239
<v Speaker 1>communicating between them, there are still probabilities you still have

0:44:08.280 --> 0:44:12.000
<v Speaker 1>wave functions about where these particles are, and uncertainties on

0:44:12.040 --> 0:44:14.200
<v Speaker 1>where the particles are and how much energy they have.

0:44:14.719 --> 0:44:17.200
<v Speaker 1>So in the end, the answer is very much the same, right.

0:44:17.360 --> 0:44:19.400
<v Speaker 1>A photon, even if you think about it as a particle,

0:44:19.680 --> 0:44:23.040
<v Speaker 1>has an uncertainty in its location. A photon with infinitely

0:44:23.040 --> 0:44:26.120
<v Speaker 1>well known would still have an infinite uncertainty in its location,

0:44:26.880 --> 0:44:28.480
<v Speaker 1>And so even if you think about it in terms

0:44:28.480 --> 0:44:30.799
<v Speaker 1>of particles, you get the same answer. It's either a

0:44:30.840 --> 0:44:33.800
<v Speaker 1>packet of waves moving through the universe with a range

0:44:33.800 --> 0:44:37.359
<v Speaker 1>of frequencies, or it's a packet of possible particles moving

0:44:37.400 --> 0:44:39.680
<v Speaker 1>through the universe with a range of possible energies.

0:44:39.960 --> 0:44:42.080
<v Speaker 4>All right, thank you Mary for answering that question. Now,

0:44:42.719 --> 0:44:44.880
<v Speaker 4>I think what you're saying is that even if you

0:44:44.920 --> 0:44:47.680
<v Speaker 4>look at for the lightest particles, a particle is a

0:44:47.719 --> 0:44:50.960
<v Speaker 4>point particle, so itself, it doesn't have any length. So

0:44:50.960 --> 0:44:52.640
<v Speaker 4>it kind of doesn't make sense to talk about the

0:44:52.719 --> 0:44:55.799
<v Speaker 4>length of a photon. But these point particles have a

0:44:55.840 --> 0:44:58.080
<v Speaker 4>certain fuzziness about where they can be in the universe.

0:44:58.120 --> 0:45:00.840
<v Speaker 4>And maybe you can talk about the length that fuzzy

0:45:00.840 --> 0:45:05.160
<v Speaker 4>cloud of where it could be, but ultimately you kind

0:45:05.160 --> 0:45:07.960
<v Speaker 4>of have to make a call about where where you

0:45:08.080 --> 0:45:11.799
<v Speaker 4>draw those boundaries, Like these fuzzy clouds don't have a

0:45:11.800 --> 0:45:14.480
<v Speaker 4>hard edge to them, this kind of fuzzy out to infinity,

0:45:15.120 --> 0:45:17.000
<v Speaker 4>And so it's up to you to say, this is

0:45:17.400 --> 0:45:18.919
<v Speaker 4>what I would call the photon, this is what would

0:45:18.960 --> 0:45:20.360
<v Speaker 4>not call the photon exactly.

0:45:20.360 --> 0:45:23.160
<v Speaker 1>And the pure concept of a single photon isn't really helpful.

0:45:23.280 --> 0:45:25.560
<v Speaker 1>Number one, because they never exist in the universe. Number

0:45:25.560 --> 0:45:29.440
<v Speaker 1>two because they have infinite uncertainty in their location and

0:45:29.520 --> 0:45:30.799
<v Speaker 1>so they're sort of everywhere.

0:45:30.960 --> 0:45:35.120
<v Speaker 4>Cool. Well, I like this new podcast host, Mary. Does

0:45:35.160 --> 0:45:37.440
<v Speaker 4>Mary like white chocolate? Then, because she's.

0:45:37.239 --> 0:45:40.200
<v Speaker 1>The no, she agrees with me and everything else.

0:45:41.440 --> 0:45:45.960
<v Speaker 4>Right. All right, Well, let's talk about how you might

0:45:46.040 --> 0:45:48.880
<v Speaker 4>actually measure what you might call the length of a photon,

0:45:49.040 --> 0:45:52.479
<v Speaker 4>or not measure it, or maybe it's impossible. So let's

0:45:52.480 --> 0:45:55.320
<v Speaker 4>dig into that question. But first, let's take one more Break.

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<v Speaker 4>All Right, we're talking about the length of a photon,

0:48:24.440 --> 0:48:29.239
<v Speaker 4>and now is it Daniel's backwards? It's still merry.

0:48:30.960 --> 0:48:32.040
<v Speaker 1>Let's go back to Daniel.

0:48:34.080 --> 0:48:37.759
<v Speaker 4>All Right, we've sort of concluded that, you know, light

0:48:37.880 --> 0:48:40.080
<v Speaker 4>is a fuzzy quantum thing, so to talk about its

0:48:40.160 --> 0:48:42.799
<v Speaker 4>length kind of doesn't make sense. But there's sort of

0:48:42.800 --> 0:48:44.960
<v Speaker 4>the other aspect of which is what I was trying

0:48:44.960 --> 0:48:46.880
<v Speaker 4>to get at, which is like, when you measure a photon,

0:48:47.080 --> 0:48:49.600
<v Speaker 4>maybe you can measure its length sort of because maybe

0:48:49.600 --> 0:48:51.880
<v Speaker 4>it depends on how big your eyeball is or how

0:48:52.640 --> 0:48:54.439
<v Speaker 4>you know, how long you're there waiting for the hot

0:48:54.440 --> 0:48:56.359
<v Speaker 4>dog to hit you. So let's talk about measuring How

0:48:56.400 --> 0:48:58.839
<v Speaker 4>do you measure a photon and how does it change

0:48:58.840 --> 0:48:59.480
<v Speaker 4>the length of it?

0:48:59.760 --> 0:49:01.759
<v Speaker 1>Yeah, yeah, this is really fun. I spent some time

0:49:01.800 --> 0:49:04.759
<v Speaker 1>thinking about this and starting with how you measure the

0:49:04.800 --> 0:49:07.360
<v Speaker 1>size of other particles. It's a little bit easier to

0:49:07.400 --> 0:49:10.319
<v Speaker 1>think about like measuring the size of a proton, because

0:49:10.360 --> 0:49:13.040
<v Speaker 1>we've done that, or try to measure the size of

0:49:13.040 --> 0:49:14.960
<v Speaker 1>the electron, because we've tried to do that.

0:49:15.239 --> 0:49:17.320
<v Speaker 4>But we have measured the length of a proton.

0:49:17.440 --> 0:49:19.800
<v Speaker 1>We have measured the width of a proton. Yes, absolutely,

0:49:19.800 --> 0:49:21.840
<v Speaker 1>we know something about the size of a proton.

0:49:22.040 --> 0:49:24.239
<v Speaker 4>Wait wait, I thought we just concluded that you can't

0:49:24.239 --> 0:49:25.560
<v Speaker 4>do that with quantum particles.

0:49:25.840 --> 0:49:28.600
<v Speaker 1>We decided you can. But protons are not like fundamental

0:49:28.640 --> 0:49:31.680
<v Speaker 1>objects in the universe, right, So really we're talking about

0:49:31.680 --> 0:49:33.680
<v Speaker 1>like a bound state of quarks and how close do

0:49:33.719 --> 0:49:34.759
<v Speaker 1>they stay to each other.

0:49:34.880 --> 0:49:37.239
<v Speaker 4>But even that has a sort of an uncertainty that

0:49:37.360 --> 0:49:39.520
<v Speaker 4>spills out to infinity, doesn't it. So where do you

0:49:39.560 --> 0:49:42.360
<v Speaker 4>define the bounds of a proton?

0:49:42.520 --> 0:49:44.040
<v Speaker 1>Yeah, it's a little bit fuzzy, and you have to

0:49:44.080 --> 0:49:46.440
<v Speaker 1>do a little bit of mental gymnastics and come up

0:49:46.480 --> 0:49:49.760
<v Speaker 1>with a concept of size that makes sense for these particles.

0:49:49.760 --> 0:49:52.160
<v Speaker 1>You have to think about like what can I actually

0:49:52.200 --> 0:49:54.759
<v Speaker 1>measure and what number does that give me? And is

0:49:54.800 --> 0:49:57.240
<v Speaker 1>that really measuring the size of the object.

0:49:57.520 --> 0:50:00.239
<v Speaker 4>All right, let me do some mental stretching here, do

0:50:00.280 --> 0:50:03.239
<v Speaker 4>some mental gymnastics. Well, what do you mean? And so

0:50:03.480 --> 0:50:05.880
<v Speaker 4>when you say the side, because you just said the

0:50:05.920 --> 0:50:08.880
<v Speaker 4>size of a proton pretty decisively, would then as a

0:50:08.880 --> 0:50:11.840
<v Speaker 4>particle physicist, what do you define as the edge of

0:50:11.840 --> 0:50:12.320
<v Speaker 4>a proton?

0:50:12.440 --> 0:50:15.040
<v Speaker 1>Yeah, so I will be totally upfront here the physics

0:50:15.040 --> 0:50:18.640
<v Speaker 1>has redefined size and then answered the question what we

0:50:18.760 --> 0:50:20.680
<v Speaker 1>really mean is that we do a specific kind of

0:50:20.760 --> 0:50:24.719
<v Speaker 1>experiment where we bounce stuff off the proton and we

0:50:24.920 --> 0:50:28.480
<v Speaker 1>notice how that changes as we scan across a proton. So,

0:50:28.560 --> 0:50:31.359
<v Speaker 1>for example, you shoot electrons at the proton and they

0:50:31.360 --> 0:50:33.279
<v Speaker 1>mostly go through, and then you shoot them a little

0:50:33.280 --> 0:50:35.319
<v Speaker 1>bit to the right and oops, now they're bouncing back

0:50:35.360 --> 0:50:38.320
<v Speaker 1>or now they're exploding the proton. And as you keep going,

0:50:38.360 --> 0:50:41.040
<v Speaker 1>you discover that as you sweep your beam over past

0:50:41.120 --> 0:50:43.439
<v Speaker 1>the other side of the proton, then now it's missing

0:50:43.520 --> 0:50:46.400
<v Speaker 1>the proton again. So there's like a size of the

0:50:46.400 --> 0:50:48.760
<v Speaker 1>proton there in the sense of like how it reacts

0:50:48.800 --> 0:50:52.640
<v Speaker 1>to the beam and electrons that you're sweeping over it.

0:50:52.640 --> 0:50:55.880
<v Speaker 4>It's sort of like searching for a stud on your wall, right.

0:50:55.880 --> 0:50:59.040
<v Speaker 1>Yeah, exactly. It's a little bit philosophical to interpret this

0:50:59.200 --> 0:51:01.520
<v Speaker 1>as size is because what do you mean anyway by

0:51:01.560 --> 0:51:04.000
<v Speaker 1>the size of a proton? A proton is an easier

0:51:04.080 --> 0:51:06.080
<v Speaker 1>thing to talk about than a photon, because at least

0:51:06.080 --> 0:51:08.440
<v Speaker 1>a proton has mass. You can like hold one, you

0:51:08.480 --> 0:51:10.680
<v Speaker 1>can capture one, you can say this is the one

0:51:10.719 --> 0:51:13.200
<v Speaker 1>I'm talking about. Photons are much harder, and we'll talk

0:51:13.200 --> 0:51:14.480
<v Speaker 1>in a minute about how you might be able to

0:51:14.480 --> 0:51:16.359
<v Speaker 1>measure their size. But this is the kind of thing

0:51:16.400 --> 0:51:18.319
<v Speaker 1>we do for a proton, and this is one way,

0:51:18.360 --> 0:51:21.040
<v Speaker 1>for example, that we discovered that the atom had a

0:51:21.040 --> 0:51:24.920
<v Speaker 1>proton inside of it. Right. Rutherford's original experiment was basically this.

0:51:25.160 --> 0:51:27.400
<v Speaker 1>You shut alpha particles at gold foils and notice that

0:51:27.400 --> 0:51:29.640
<v Speaker 1>they bounce back sometimes and not other times. And he

0:51:29.719 --> 0:51:32.200
<v Speaker 1>used this to see like, oh, there's like hard little

0:51:32.280 --> 0:51:35.360
<v Speaker 1>nuggets inside the gold foil, and those were the nuclei.

0:51:35.680 --> 0:51:37.360
<v Speaker 1>And you can do the same kind of thing to

0:51:37.360 --> 0:51:39.120
<v Speaker 1>see the size or a proton. You can also do

0:51:39.160 --> 0:51:41.320
<v Speaker 1>the same kind of thing to see inside a proton

0:51:41.400 --> 0:51:43.480
<v Speaker 1>to see like how often is it bouncing off of

0:51:43.480 --> 0:51:45.360
<v Speaker 1>a quark that's inside the proton?

0:51:45.719 --> 0:51:45.839
<v Speaker 2>Right?

0:51:45.920 --> 0:51:47.840
<v Speaker 4>But like you said, it's sort of a fuzzy boundary,

0:51:47.840 --> 0:51:50.440
<v Speaker 4>isn't it. Like as you're scanning where the proton is

0:51:50.440 --> 0:51:53.320
<v Speaker 4>by shooting electrons at it, at some point like sometimes

0:51:53.360 --> 0:51:55.279
<v Speaker 4>will hit, sometimes it won't, even though you're shooting in

0:51:55.320 --> 0:51:58.399
<v Speaker 4>the same exact direction. And as you scan through the right,

0:51:58.480 --> 0:52:01.520
<v Speaker 4>for example, the frequency of which it might glance off

0:52:01.560 --> 0:52:04.800
<v Speaker 4>of the proton changes. So there's a bit of fuzziness.

0:52:04.800 --> 0:52:06.279
<v Speaker 4>So when do you make the call like, okay, that's

0:52:06.320 --> 0:52:08.480
<v Speaker 4>the edge of the proton or do you know.

0:52:08.520 --> 0:52:10.480
<v Speaker 1>You're exactly right? There's a little bit of fuzziness there.

0:52:10.480 --> 0:52:13.200
<v Speaker 1>Like if you did this experiment with billiard balls, right,

0:52:13.280 --> 0:52:15.200
<v Speaker 1>there'd be a moment when they come into contact and

0:52:15.239 --> 0:52:17.839
<v Speaker 1>then a moment when they don't, and there's a precision there,

0:52:18.160 --> 0:52:20.840
<v Speaker 1>and we don't have the same thing with protons. There's

0:52:20.960 --> 0:52:23.280
<v Speaker 1>some point at which you shoot the electron and sometimes

0:52:23.280 --> 0:52:25.960
<v Speaker 1>it bounces back and sometimes it passes through, and so

0:52:26.040 --> 0:52:28.520
<v Speaker 1>like is that the edge of the proton? And so

0:52:28.560 --> 0:52:30.840
<v Speaker 1>we just make a sort of mathematical definition. We define

0:52:30.840 --> 0:52:33.239
<v Speaker 1>the width of this distribution, and we say that with

0:52:33.360 --> 0:52:36.600
<v Speaker 1>of this distribution tells us the size of the proton.

0:52:36.360 --> 0:52:39.200
<v Speaker 4>Meaning like the width of a proton is the width

0:52:39.239 --> 0:52:42.680
<v Speaker 4>at which if you aim at electron added beyond that,

0:52:42.960 --> 0:52:45.759
<v Speaker 4>then only you know ten percent of them will hit.

0:52:45.680 --> 0:52:47.960
<v Speaker 1>It, exactly like if you know a Gaussian distribution, you

0:52:47.960 --> 0:52:50.560
<v Speaker 1>can characterize the width of it. It doesn't capture the

0:52:50.600 --> 0:52:53.040
<v Speaker 1>whole distribution. It's just like a characteristic number that tells

0:52:53.080 --> 0:52:56.239
<v Speaker 1>you roughly how wide it is. And there's a possibility

0:52:56.239 --> 0:52:58.160
<v Speaker 1>you go pass that with and you still interact with

0:52:58.200 --> 0:53:00.400
<v Speaker 1>the proton. And there's a possibility you go low that

0:53:00.400 --> 0:53:02.520
<v Speaker 1>with and you don't interact with the proton. So it's

0:53:02.560 --> 0:53:06.040
<v Speaker 1>a quantum fuzzy definition of size. That's fuzzy in another

0:53:06.080 --> 0:53:08.560
<v Speaker 1>way too, because it depends on the thing you're touching

0:53:08.640 --> 0:53:12.440
<v Speaker 1>it with. Like protons will react to electrons differently than

0:53:12.480 --> 0:53:15.880
<v Speaker 1>they'll react to muons or react to neutrinos. So the

0:53:15.880 --> 0:53:19.279
<v Speaker 1>whole concept of size is really about the interaction of

0:53:19.440 --> 0:53:22.960
<v Speaker 1>two things. It's not inherent property of the object anyway,

0:53:23.400 --> 0:53:26.080
<v Speaker 1>at least this quantum definition of size.

0:53:25.800 --> 0:53:27.640
<v Speaker 4>I see, like it depends on the experiment. The width

0:53:27.640 --> 0:53:29.520
<v Speaker 4>of a proton you can't talk about the width of

0:53:29.520 --> 0:53:31.520
<v Speaker 4>a proton. You have to say, what's the width of

0:53:31.560 --> 0:53:34.120
<v Speaker 4>a proton when it's interacting with electrons, or what's the

0:53:34.120 --> 0:53:37.400
<v Speaker 4>width of a proton when it's interacting with hot dog ginos.

0:53:37.960 --> 0:53:39.200
<v Speaker 4>Even then it's fuzzy and you kind of have to

0:53:39.239 --> 0:53:41.720
<v Speaker 4>make a call and say, well, you know it's about

0:53:41.760 --> 0:53:45.120
<v Speaker 4>here that it starts to taper off. Yeah, exactly, all right,

0:53:45.160 --> 0:53:47.799
<v Speaker 4>So then let not switch to photons. Does the same

0:53:47.840 --> 0:53:49.799
<v Speaker 4>thing apply to photons? Like does it depend on how

0:53:49.840 --> 0:53:50.400
<v Speaker 4>we measure it?

0:53:50.440 --> 0:53:52.800
<v Speaker 1>So this is tricky because photons don't like to interact

0:53:52.800 --> 0:53:55.440
<v Speaker 1>with each other. You can't just like shoot one photon

0:53:55.480 --> 0:53:57.360
<v Speaker 1>in another and say, like how often are they going

0:53:57.400 --> 0:53:59.960
<v Speaker 1>to touch each other? This kind of stuff. Remember, photons

0:54:00.080 --> 0:54:02.799
<v Speaker 1>only interact with things that have electric charge, So you

0:54:02.800 --> 0:54:06.200
<v Speaker 1>can shoot photons at electrons, but you can't shoot photons

0:54:06.200 --> 0:54:09.239
<v Speaker 1>at photons and see them interact very often. When they do,

0:54:09.280 --> 0:54:13.319
<v Speaker 1>it's because they've actually spontaneously transformed into electrons and positrons

0:54:13.360 --> 0:54:15.239
<v Speaker 1>and then interacted. So I was thinking about it, and

0:54:15.280 --> 0:54:17.000
<v Speaker 1>there's another way you might be able to get a

0:54:17.080 --> 0:54:20.040
<v Speaker 1>sense for the length of a photon. Because photons don't

0:54:20.040 --> 0:54:22.480
<v Speaker 1>interact with each other the same way particles do, but

0:54:22.520 --> 0:54:25.600
<v Speaker 1>they can interfere with each other. If photons are at

0:54:25.600 --> 0:54:28.640
<v Speaker 1>the same place at the same time, they will interfere,

0:54:28.680 --> 0:54:31.239
<v Speaker 1>like the way we have interferometers. You know, we talk

0:54:31.280 --> 0:54:33.920
<v Speaker 1>about interference, you get like light patches and dark patches.

0:54:34.000 --> 0:54:36.160
<v Speaker 4>Wait, wait, let maybe take a step back. What is

0:54:36.200 --> 0:54:38.040
<v Speaker 4>it that you're trying to do. You're trying to measure

0:54:38.480 --> 0:54:41.000
<v Speaker 4>the size of this wave packet or the size of

0:54:41.040 --> 0:54:43.360
<v Speaker 4>the fuzziness of an electron. Is that kind of what

0:54:43.400 --> 0:54:43.920
<v Speaker 4>you're trying to do.

0:54:44.000 --> 0:54:46.000
<v Speaker 1>I'm thinking about how to measure the length of that

0:54:46.040 --> 0:54:48.439
<v Speaker 1>wave packet of a photon. And I was thinking about

0:54:48.480 --> 0:54:52.000
<v Speaker 1>if you sent two photons through an interference experiment, like

0:54:52.160 --> 0:54:54.359
<v Speaker 1>do the interfere with each other? They will if they're

0:54:54.400 --> 0:54:56.560
<v Speaker 1>right on top of each other, they won't. If they're

0:54:56.600 --> 0:54:59.920
<v Speaker 1>really separated, like if you wait ten seconds between shooting photons,

0:55:00.080 --> 0:55:02.440
<v Speaker 1>they won't interfere with each other. There's some point in

0:55:02.480 --> 0:55:05.160
<v Speaker 1>which if you send two photons through the experiment close

0:55:05.280 --> 0:55:08.640
<v Speaker 1>enough together in time that their wave packets are overlapping,

0:55:08.840 --> 0:55:11.040
<v Speaker 1>that they will interfere with each other. And so I'm

0:55:11.040 --> 0:55:14.040
<v Speaker 1>thinking that's like one way to define the width of

0:55:14.120 --> 0:55:17.240
<v Speaker 1>the wave packet of each photon is like how close

0:55:17.280 --> 0:55:19.600
<v Speaker 1>they have to be to each other in time, which

0:55:19.640 --> 0:55:22.560
<v Speaker 1>then gets translated to distance so that they start interfering

0:55:22.600 --> 0:55:23.120
<v Speaker 1>with each other.

0:55:23.320 --> 0:55:26.080
<v Speaker 4>Doesn't light interact with electrons? For example? So like we

0:55:26.200 --> 0:55:28.879
<v Speaker 4>use electrons like you just said, to measure the width

0:55:28.920 --> 0:55:30.960
<v Speaker 4>of a proton, couldn't we kind of flip it and

0:55:31.040 --> 0:55:34.040
<v Speaker 4>use an electron to measure the width of a light particle?

0:55:34.239 --> 0:55:36.080
<v Speaker 4>Like what if I sit an electron there on a

0:55:36.160 --> 0:55:39.400
<v Speaker 4>table and I just shoot photons at it? Wouldn't this

0:55:39.520 --> 0:55:42.120
<v Speaker 4>sort of tell me how wine my photon is?

0:55:42.360 --> 0:55:43.840
<v Speaker 1>Yeah? But are we talking about the length of a

0:55:43.840 --> 0:55:45.560
<v Speaker 1>photon or the width of a photon?

0:55:45.680 --> 0:55:45.839
<v Speaker 4>Wait?

0:55:45.880 --> 0:55:46.040
<v Speaker 1>Wait?

0:55:46.160 --> 0:55:48.359
<v Speaker 4>Meaning like is it light shape like a hot dog?

0:55:49.719 --> 0:55:52.240
<v Speaker 4>Let's assume the light is shape like a meatball. Wouldn't

0:55:52.280 --> 0:55:53.920
<v Speaker 4>the length also tell you the width?

0:55:54.040 --> 0:55:56.520
<v Speaker 1>The length or the width it depends on the uncertainty

0:55:56.520 --> 0:55:58.760
<v Speaker 1>of its production? Right? The entire length of the photon

0:55:58.840 --> 0:56:01.640
<v Speaker 1>comes from the uncertainty you have in how it was produced.

0:56:01.680 --> 0:56:04.960
<v Speaker 1>It's either infinitely long if it's perfectly well measured, or

0:56:05.000 --> 0:56:07.560
<v Speaker 1>it's very very tied if it's very uncertain in its energy.

0:56:07.920 --> 0:56:10.879
<v Speaker 1>So the width might come from a different uncertainty. So yeah,

0:56:10.960 --> 0:56:12.560
<v Speaker 1>if you want to talk about the width of the photon,

0:56:12.640 --> 0:56:15.040
<v Speaker 1>like which direction does it come out of the laser,

0:56:15.120 --> 0:56:18.600
<v Speaker 1>this uncertainty there in the photon's width as well as

0:56:18.640 --> 0:56:20.600
<v Speaker 1>in its length. That could be a different.

0:56:20.400 --> 0:56:22.040
<v Speaker 4>Number, But I feel like when you were talking about

0:56:22.080 --> 0:56:24.960
<v Speaker 4>the proton, you were using the word length to mean

0:56:25.000 --> 0:56:25.239
<v Speaker 4>it's with.

0:56:25.640 --> 0:56:28.920
<v Speaker 1>Yeah, for proton, we really are measuring it's with in

0:56:28.920 --> 0:56:29.440
<v Speaker 1>that case.

0:56:29.480 --> 0:56:35.040
<v Speaker 4>You're right, so you're assuming protons are meat bull shaped? Well,

0:56:35.440 --> 0:56:37.359
<v Speaker 4>I mean I think is important, right, No, No, you're right.

0:56:37.440 --> 0:56:38.000
<v Speaker 1>Yeah, you're right.

0:56:38.440 --> 0:56:40.600
<v Speaker 4>So you're assuming protons are meat bull shapes. But do

0:56:40.680 --> 0:56:42.880
<v Speaker 4>you're not assuming that light is meat bull shape? You're

0:56:42.880 --> 0:56:44.840
<v Speaker 4>assuming it might be hot dog shape or not. I

0:56:44.880 --> 0:56:45.160
<v Speaker 4>don't know.

0:56:45.280 --> 0:56:47.760
<v Speaker 1>Yeah, absolutely, I'm using the meatbond model of a proton,

0:56:47.880 --> 0:56:50.799
<v Speaker 1>the hot dog model of a photon, and somebody else

0:56:50.840 --> 0:56:53.920
<v Speaker 1>might have a different, you know, maybe a French version

0:56:53.960 --> 0:56:55.680
<v Speaker 1>of it. Right with there's a pastry version.

0:56:56.440 --> 0:56:59.280
<v Speaker 4>A French fry version, the pompfleet model.

0:56:59.600 --> 0:57:02.719
<v Speaker 1>Yes, to measure the width of a photon, you could

0:57:02.760 --> 0:57:04.839
<v Speaker 1>scan a beam across a bunch of electrons and see

0:57:04.840 --> 0:57:06.279
<v Speaker 1>when they interact and then will give you a sense

0:57:06.280 --> 0:57:08.040
<v Speaker 1>for like the width of your beam, and if you

0:57:08.040 --> 0:57:10.200
<v Speaker 1>slow it down to individual photons, if you go a

0:57:10.239 --> 0:57:12.400
<v Speaker 1>sense of the width of the wave packet of the photon.

0:57:12.600 --> 0:57:14.400
<v Speaker 1>I think to get a sense of the length of

0:57:14.440 --> 0:57:16.560
<v Speaker 1>a photon, you might want to see how the photons

0:57:16.800 --> 0:57:19.920
<v Speaker 1>overlap in an interference experiment, see when they start interfering.

0:57:20.080 --> 0:57:23.080
<v Speaker 1>That probs something we call coherence length of the photon.

0:57:23.640 --> 0:57:25.200
<v Speaker 4>I wonder if you can measure the length of a

0:57:25.240 --> 0:57:29.440
<v Speaker 4>hot dog photon by measuring by using time, Like, if

0:57:29.560 --> 0:57:32.640
<v Speaker 4>there's more uncertainty in when you receive the photon, would

0:57:32.640 --> 0:57:34.760
<v Speaker 4>that tell you that it's a really long it's a

0:57:34.760 --> 0:57:38.480
<v Speaker 4>foot long hot dog. I suppose if the uncertainty and

0:57:38.560 --> 0:57:41.280
<v Speaker 4>when you receive the photon is very short, it's like, oh,

0:57:41.280 --> 0:57:42.160
<v Speaker 4>it's a vienna hot dog.

0:57:42.200 --> 0:57:44.160
<v Speaker 1>Yeah. And principle, if you know the energy and the uncertainty,

0:57:44.360 --> 0:57:46.280
<v Speaker 1>you can just define the length. I was trying to

0:57:46.280 --> 0:57:48.959
<v Speaker 1>think about a way to like experimentally measure another sense

0:57:48.960 --> 0:57:51.120
<v Speaker 1>of the length in terms of like when two photons

0:57:51.160 --> 0:57:53.760
<v Speaker 1>overlap with each other, rather than just thinking about the

0:57:53.840 --> 0:57:57.080
<v Speaker 1>length of an individual photon theoretically. But yeah, you can

0:57:57.120 --> 0:58:00.360
<v Speaker 1>definitely define the length of an individual photon theoretically from

0:58:00.400 --> 0:58:02.880
<v Speaker 1>its energy and the uncertainty, which again is coupled to

0:58:02.920 --> 0:58:04.560
<v Speaker 1>the uncertainty and its time measurement.

0:58:04.840 --> 0:58:07.040
<v Speaker 4>So I feel like maybe the headline from this podcast

0:58:07.040 --> 0:58:11.400
<v Speaker 4>episode is a physicist claim light is shaped like a hotel.

0:58:14.520 --> 0:58:16.080
<v Speaker 1>You know, one thing I love about this podcast is

0:58:16.120 --> 0:58:18.200
<v Speaker 1>I've never have any idea where it's going to end

0:58:18.240 --> 0:58:20.400
<v Speaker 1>up going. There's no way to prepare for this.

0:58:20.880 --> 0:58:22.520
<v Speaker 4>It's an uncertainty about its length.

0:58:22.560 --> 0:58:26.520
<v Speaker 1>Also, the topic, the concept, the analogies we end up using.

0:58:26.680 --> 0:58:29.680
<v Speaker 1>This is proof that this podcast is unscripted because nobody

0:58:29.680 --> 0:58:30.520
<v Speaker 1>could write this stuff.

0:58:33.360 --> 0:58:36.240
<v Speaker 4>Well we are. We're writing it right now, Daniel. It's happening.

0:58:36.240 --> 0:58:36.760
<v Speaker 4>It's happening.

0:58:36.800 --> 0:58:37.360
<v Speaker 1>We're living it.

0:58:37.440 --> 0:58:41.120
<v Speaker 4>Man, Well, I mean, would you. I feel that that's

0:58:41.160 --> 0:58:42.880
<v Speaker 4>the biggest thing that I'm getting out of this is

0:58:42.920 --> 0:58:45.640
<v Speaker 4>that you know you're in your thought point of view.

0:58:45.760 --> 0:58:49.480
<v Speaker 4>A photon is not spherical, It's maybe has different dimensions

0:58:49.480 --> 0:58:49.720
<v Speaker 4>to it.

0:58:49.840 --> 0:58:51.800
<v Speaker 1>Yeah, I hadn't thought about the width of a photon,

0:58:51.880 --> 0:58:55.000
<v Speaker 1>but you're right, it has all the same theoretical questions

0:58:55.040 --> 0:58:58.120
<v Speaker 1>to it and experimental trickery to measure the width of it.

0:58:58.160 --> 0:58:59.880
<v Speaker 1>But the width and the length of a photon could

0:58:59.880 --> 0:59:02.120
<v Speaker 1>be very different. You could have a source of photons

0:59:02.120 --> 0:59:05.120
<v Speaker 1>that's very uncertain in length and very certain in width.

0:59:05.280 --> 0:59:07.920
<v Speaker 4>I think that you know, as you you gave a

0:59:07.920 --> 0:59:11.160
<v Speaker 4>proton of definite size, right like in physics you have

0:59:11.200 --> 0:59:13.400
<v Speaker 4>a size with plus or mind is a certain amount

0:59:13.440 --> 0:59:15.840
<v Speaker 4>of uncertainty. If you had to do that for a light,

0:59:16.000 --> 0:59:18.440
<v Speaker 4>for a photon, like maybe an everyday photon that we

0:59:18.520 --> 0:59:21.160
<v Speaker 4>see every day, what would you say it is its length?

0:59:21.600 --> 0:59:24.080
<v Speaker 1>Yeah, that's a great question. You know, a typical photon

0:59:24.200 --> 0:59:27.480
<v Speaker 1>that's like coming out of the light that's made from

0:59:27.520 --> 0:59:29.360
<v Speaker 1>a light bulb in your house, and that's a glow

0:59:29.400 --> 0:59:31.440
<v Speaker 1>of like a little piece of metal. So there's a

0:59:31.520 --> 0:59:34.680
<v Speaker 1>very wide spread in the uncertainty of those photons.

0:59:34.760 --> 0:59:37.680
<v Speaker 4>Oh cool, Now, how would you say it compares to

0:59:37.760 --> 0:59:38.320
<v Speaker 4>its width?

0:59:38.880 --> 0:59:39.000
<v Speaker 9>Like?

0:59:39.160 --> 0:59:42.600
<v Speaker 4>Are photons hot like the everyday photons we see hot?

0:59:42.680 --> 0:59:44.920
<v Speaker 4>Duck shaped or are they football shaped? Or are they

0:59:45.040 --> 0:59:46.120
<v Speaker 4>more spherically taped?

0:59:47.080 --> 0:59:47.160
<v Speaker 7>Like?

0:59:47.200 --> 0:59:48.960
<v Speaker 4>What kind of bunch? What kind of bunch should I

0:59:48.960 --> 0:59:49.600
<v Speaker 4>get to eat it?

0:59:51.640 --> 0:59:55.160
<v Speaker 1>I think it's probably curved, so you should get a croissant. No,

0:59:56.160 --> 0:59:57.720
<v Speaker 1>I don't know the answer that It depends a lot

0:59:57.760 --> 1:00:00.520
<v Speaker 1>on the source. For a typical filament from like an

1:00:00.560 --> 1:00:02.920
<v Speaker 1>incandescent bulb. There's again going to be a lot of

1:00:02.960 --> 1:00:05.400
<v Speaker 1>uncertainty in the direction, so these things are going to

1:00:05.480 --> 1:00:08.280
<v Speaker 1>be pretty fat. Maybe there's sausage paddies after all.

1:00:08.560 --> 1:00:10.680
<v Speaker 4>Oh yeah, oh man, I hadn't even thought about that

1:00:10.720 --> 1:00:14.000
<v Speaker 4>snack like they could be like pancakes flying at youa

1:00:14.200 --> 1:00:15.160
<v Speaker 4>face forward.

1:00:15.080 --> 1:00:16.360
<v Speaker 1>Yeah, more sideways.

1:00:16.520 --> 1:00:19.160
<v Speaker 4>Yeah. Interesting. All right, So I guess we sort of

1:00:19.160 --> 1:00:21.160
<v Speaker 4>answered the question how long a photon is?

1:00:21.400 --> 1:00:23.600
<v Speaker 1>We know that these things are really hard to think about,

1:00:23.680 --> 1:00:25.320
<v Speaker 1>and that the answer depends a little bit on the

1:00:25.400 --> 1:00:27.960
<v Speaker 1>question you're asking and exactly how you want to answered,

1:00:28.120 --> 1:00:31.160
<v Speaker 1>and along the way you often have to redefine what

1:00:31.240 --> 1:00:33.800
<v Speaker 1>you mean by your question in order to get a specific,

1:00:34.000 --> 1:00:35.040
<v Speaker 1>unsatisfying answer.

1:00:35.520 --> 1:00:37.040
<v Speaker 4>Yeah, and in the end, I guess it's all a

1:00:37.080 --> 1:00:40.640
<v Speaker 4>little bit fuzzy due to the fuzzy nature of the universe.

1:00:40.920 --> 1:00:43.120
<v Speaker 1>But put enough mustard on it, it'll be delicious.

1:00:43.480 --> 1:00:49.520
<v Speaker 4>Yeah, it's a little fuzzy though. The Fuzzy Hot Dog podcast.

1:00:50.240 --> 1:00:54.200
<v Speaker 4>All right, Well, another interesting dive into the quantum nature

1:00:54.200 --> 1:00:57.120
<v Speaker 4>of the universe and how even simple questions like how

1:00:57.120 --> 1:00:59.920
<v Speaker 4>big is a photon or what shape it has requires

1:00:59.920 --> 1:01:04.840
<v Speaker 4>a whole conversation about the nature of length and what

1:01:04.960 --> 1:01:06.760
<v Speaker 4>even means to be something in the universe.

1:01:06.920 --> 1:01:10.040
<v Speaker 1>That's right. The most basic questions are the hardest to answer.

1:01:10.400 --> 1:01:12.360
<v Speaker 4>All right, well, we hope you enjoyed that. Thanks for

1:01:12.440 --> 1:01:13.880
<v Speaker 4>joining us. See you next time.

1:01:18.640 --> 1:01:21.520
<v Speaker 1>For more science and curiosity, come find us on social

1:01:21.560 --> 1:01:26.480
<v Speaker 1>media where we answer questions and post videos. We're on Twitter, Discord, Instant,

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<v Speaker 1>and now TikTok. Thanks for listening and remember that Daniel

1:01:30.320 --> 1:01:33.720
<v Speaker 1>and Jorge Explain the Universe is a production of iHeartRadio.

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