WEBVTT - Does Quantum Mechanics make sense?

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<v Speaker 1>If you've done some traveling, then you know the experience

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<v Speaker 1>of feeling out of place. There are still some places

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<v Speaker 1>on Earth where the culture is sufficiently different from ours

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<v Speaker 1>or from yours, then you can no longer sort of

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<v Speaker 1>trust your instincts. You don't intuitively know how to behave

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<v Speaker 1>and how to get around. Maybe you don't know what

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<v Speaker 1>people are saying, and you can't read the street signs,

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<v Speaker 1>and things just seem to work differently. The street food

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<v Speaker 1>has weird eyeballs in it where looks like it's fried scorpions. Hey,

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<v Speaker 1>maybe it is. Well, that's the experience physicists have when

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<v Speaker 1>we discover that the rules of the universe are totally

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<v Speaker 1>different from what we are familiar with. That's exactly the

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<v Speaker 1>feeling we're going for, and that's the feeling we get

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<v Speaker 1>very often when we travel to the quantum realm. Yeah. Hi,

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<v Speaker 1>I'm Daniel. I'm a particle physicist and I'm one half

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<v Speaker 1>of the dynamic duo known as Daniel and Jorge, hosts

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<v Speaker 1>of this podcast, Daniel and Jorge Explain the Universe, brought

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<v Speaker 1>to you by I Heart Radio. My co host today,

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<v Speaker 1>Jorge Champ can't be with us, so I'll be talking

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<v Speaker 1>to you myself about the amazing secrets of the universe.

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<v Speaker 1>This podcast is dedicated to revealing truths about the universe,

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<v Speaker 1>to taking things that seem amazing and mystifying that maybe

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<v Speaker 1>you've heard about or people talk about when they want

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<v Speaker 1>to sound smart, but you never really understood. Well, we

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<v Speaker 1>are here to break it down and make sure you

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<v Speaker 1>can walk away actually understanding it. You can talk about

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<v Speaker 1>it like an intelligent person. So if you have questions

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<v Speaker 1>about what you heard today, please send them to us

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<v Speaker 1>two questions at Daniel and Jorge dot com. It is

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<v Speaker 1>our goal that you actually understand everything we are talking

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<v Speaker 1>about and hopefully maybe even get a chuckle along the way.

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<v Speaker 1>Since it's just me today, we'll probably have fewer jokes

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<v Speaker 1>than usual. It's often Hooree that injects the humor into

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<v Speaker 1>these conversations. So we're little humans. We're here on Earth,

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<v Speaker 1>and we're used to a certain kind of experience. We

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<v Speaker 1>used to things a certain size and moving on a

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<v Speaker 1>certain speed. But the universe is a big place and

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<v Speaker 1>there are lots of things out there that are not

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<v Speaker 1>like our experience, that are really big or moving really fast.

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<v Speaker 1>And what we've learned as humans is that most of

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<v Speaker 1>the universe is different from what we expected, and that

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<v Speaker 1>it follows rules that are different. And when we try

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<v Speaker 1>to understand the rest of the universe, the things that

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<v Speaker 1>are not balls rolling down planes or how water flows

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<v Speaker 1>down a hill, that we need to do something mentally difficult.

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<v Speaker 1>We need to do some sort of extrapolation. And that's

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<v Speaker 1>the job of physics is to take us from the

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<v Speaker 1>known into the unknown, to say, well, we understand how

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<v Speaker 1>these things happen here on Earth. Can we also understand

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<v Speaker 1>how the Earth moves around the sun. Can we understand

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<v Speaker 1>the origins of the universe. Can we peel back layers

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<v Speaker 1>of reality and see how things are built underneath? And

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<v Speaker 1>in order to do that, we have to describe things

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<v Speaker 1>we haven't seen in terms of things that we have seen.

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<v Speaker 1>We talk about particles, and we like to describe them

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<v Speaker 1>as kind of like waves and kind of like little

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<v Speaker 1>spinning balls, because those are familiar mental constructs. Those are

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<v Speaker 1>things we understand, so we can talk to each other

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<v Speaker 1>about them. It's like if you drink a new wine

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<v Speaker 1>and you try to describe it to your friends and

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<v Speaker 1>you say, oh, it has flavors of oak and maybe BlackBerry.

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<v Speaker 1>It's a way to describe things that you don't know

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<v Speaker 1>in terms of things that you know. It's a basic

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<v Speaker 1>mental strategy for understanding things. But what happens when you

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<v Speaker 1>run into something fundamentally different, something unlike anything you've seen before,

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<v Speaker 1>something where all of your mental constructs fail or are limited,

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<v Speaker 1>when our experience has just not prepared us for something.

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<v Speaker 1>That's the topic of today's podcast, Can we ever understand

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<v Speaker 1>quantum mechanics? And before we dive in, I want to

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<v Speaker 1>give a music shout out to Casey Hagman who sent

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<v Speaker 1>in that alternative quest in music. Thank you very much.

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<v Speaker 1>We loved it. And quantum mechanics is one of the

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<v Speaker 1>most difficult things for people to grasp, one of the

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<v Speaker 1>most intimidating topics, because people feel like it just can't

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<v Speaker 1>make sense to them, and they hear eminent scientists, researchers, philosophers,

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<v Speaker 1>physicists talking about quantum mechanics as if they don't understand

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<v Speaker 1>it either. And it's true, there's a lot left to

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<v Speaker 1>be understood about quantum mechanics. Folks like Sean Carroll talk

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<v Speaker 1>about it very intelligently, and there's lots of lively discussion

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<v Speaker 1>about what quantum mechanics really means, But I want to

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<v Speaker 1>talk about something simpler. Just what does quantum mechanics say?

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<v Speaker 1>What have we learned about the universe via quantum mechanics?

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<v Speaker 1>Is it possible for us to develop an intuition to

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<v Speaker 1>understand quantum mechanics? Is? Will it always forever be foreign

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<v Speaker 1>to us? Or can we become comfortable with it? Will

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<v Speaker 1>we by spending enough time? And it by thinking? Is

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<v Speaker 1>it possible that by spending enough time marinating in these

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<v Speaker 1>concepts and thinking about them in the right way, that

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<v Speaker 1>we could eventually become familiar with them, sort of the

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<v Speaker 1>way Chinese might seem impenetrable to a Western person at first,

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<v Speaker 1>but you spend enough time there and it becomes part

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<v Speaker 1>of your brain. Your brain develops sort of new ways

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<v Speaker 1>of thinking, new patterns, new ideas flow through it, so

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<v Speaker 1>that the new language and the topics and the strategies

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<v Speaker 1>and the tones of that language eventually become familiar. They

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<v Speaker 1>become how you think. So the strategy there, of course,

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<v Speaker 1>is immerging. You don't learn a new language effectively by

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<v Speaker 1>learning vocabulary and studying in the classroom. The best way

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<v Speaker 1>I've always found really learned to speak a new language,

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<v Speaker 1>to think in a new language. Is to spend time

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<v Speaker 1>doing it, is to go to that country and be

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<v Speaker 1>part of those people and be there and use that

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<v Speaker 1>as part of your life. And that's how your brain works.

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<v Speaker 1>So our strategy today for helping you understand quantum mechanics

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<v Speaker 1>is not to give you the math medical basics, but

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<v Speaker 1>to spend some time in the quantum realm until we

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<v Speaker 1>develop an intuition for how it works. But before we

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<v Speaker 1>go there, I wanted to know what people understood about

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<v Speaker 1>quantum mechanics and also whether they thought they understood quantum mechanics.

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<v Speaker 1>Is quantum mechanics something that everybody out there feels like

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<v Speaker 1>is impossible to understand or are most people under the

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<v Speaker 1>impression that they have it figured out. I walked around

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<v Speaker 1>campus that you see Irvine, and I asked people if

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<v Speaker 1>they thought they could understand quantum mechanics. Before you hear

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<v Speaker 1>these answers, think to yourself, how good is your grasp

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<v Speaker 1>on the basic tenets of quantum mechanics. Do you feel fluent?

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<v Speaker 1>Can you explain this stuff? Do you feel like you

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<v Speaker 1>can navigate that strange quantum realm? Here's what people on

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<v Speaker 1>the street that you see Irvine had to say. Do

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<v Speaker 1>you feel like you understand quantum mechanics? Not anyone who

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<v Speaker 1>answers yes to that doesn't really have an understanding of quantum.

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<v Speaker 1>So no, very basically, I have working knowledge of quantum mechanics,

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<v Speaker 1>but I would not say that I understand it at

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<v Speaker 1>the a PhD physicist, I say I understand it decently. Well.

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<v Speaker 1>Are you familiar with the double slit experiment? Yes, um

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<v Speaker 1>show that particles. I think it was electrons that they use,

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<v Speaker 1>and they move in waves, So if you're to fire

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<v Speaker 1>the electrons and observe them, they'd only go on like

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<v Speaker 1>a line. But then if you cover it you can

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<v Speaker 1>see a wave like pattern in the back or something

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<v Speaker 1>like that. I honestly don't even know about quantum mechanics.

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<v Speaker 1>I'm just the goal nature of light. It's both a

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<v Speaker 1>wave and a particle. So, as usual, we've got a

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<v Speaker 1>very nice breath of answers from people who felt like

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<v Speaker 1>they hardly understood anything about quantum mechanics the people who

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<v Speaker 1>clearly had some working knowledge. So that's great, and we're

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<v Speaker 1>hoping to bring everyone who listens to this podcast up

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<v Speaker 1>to at least the very basic level of being able

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<v Speaker 1>to intelligently think about and understand quantum topics, and I

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<v Speaker 1>think the best way to start off is to hear

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<v Speaker 1>a listener question. Here's a question from a young listener. Hi,

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<v Speaker 1>Daniel Lynn Whole. Hey, my name is Robin, and I

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<v Speaker 1>would love to know what the key differences between quantum

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<v Speaker 1>and classical mechanics are and to what extent they agree

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<v Speaker 1>with each other. This is a great way to start

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<v Speaker 1>because classical physics is what we're familiar with. Classical physics

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<v Speaker 1>is what describes how basketball moves, or how rocks roll

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<v Speaker 1>down hills, or how things move in the atmosphere, things

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<v Speaker 1>that we are familiar with that we have spent hundreds

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<v Speaker 1>or thousands of years developing an intuition for things that

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<v Speaker 1>probably our brains have evolved to be good at understanding,

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<v Speaker 1>so that in some way they are natural objects to

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<v Speaker 1>our mental worlds. Right, So the question really is what's

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<v Speaker 1>the biggest difference between the classical world and the quantum world.

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<v Speaker 1>What is it when you go to the quantum world

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<v Speaker 1>that you can no longer assume that is obviously true

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<v Speaker 1>in the classical world. The basic difference between classical objects

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<v Speaker 1>and quantum mechanical objects is that quantum mechanical objects do

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<v Speaker 1>not have a path. They don't have a trajectory through space,

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<v Speaker 1>a well defined stead of where they were at any

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<v Speaker 1>given time. That's the key, l Us and I want

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<v Speaker 1>you to come away from today's podcast with. So let's

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<v Speaker 1>talk about what that means. If you have a baseball

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<v Speaker 1>and it's at one location now and ten seconds later

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<v Speaker 1>it's across the baseball field, you imagine that it went

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<v Speaker 1>from where it was to where it is now. You say, well,

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<v Speaker 1>if it was over there before and it's over here

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<v Speaker 1>and now, how did it get there. It must have

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<v Speaker 1>gone between those two locations. You have two pieces of data,

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<v Speaker 1>and you naturally interpolate because you make this assumption that

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<v Speaker 1>a classical object has a location at every time, and

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<v Speaker 1>that you can stitch those together into a path that

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<v Speaker 1>traverses space time in some continuous way. And you might

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<v Speaker 1>be thinking, well, of course everything does. Everything has a

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<v Speaker 1>location at a given time, and only one location. But

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<v Speaker 1>that's an intuition you've developed from experiencing the natural world,

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<v Speaker 1>from playing baseball, or from being chased by people throwing

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<v Speaker 1>rocks at you. You're used to things moving through the

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<v Speaker 1>world in a responsible and understandable way. So you've made

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<v Speaker 1>this assumption. Quantum objects do not have paths like that.

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<v Speaker 1>They don't have locations that translate through time. For a

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<v Speaker 1>quantum object like an electron, you can measure it at

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<v Speaker 1>one location A and then later measure it at another

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<v Speaker 1>location B, but it doesn't mean that it's flown through

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<v Speaker 1>the universe from A to B in that intervening time.

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<v Speaker 1>It can be at A later be at B, but

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<v Speaker 1>it's not true that it's moved from A to B,

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<v Speaker 1>meaning that if you've made a measurement halfway, you would

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<v Speaker 1>have found it going from A to B. Now that's

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<v Speaker 1>very confusing, that's very hard to understand. How can an

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<v Speaker 1>object be here and later be there and never be

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<v Speaker 1>in between? And the reason is that quantum objects are

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<v Speaker 1>just different from the classical objects. They are not the

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<v Speaker 1>same kind of thing. And this assumption that you have

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<v Speaker 1>made about the universe comes from only experiencing classical objects

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<v Speaker 1>things on our scale, but the smaller level the universe

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<v Speaker 1>just does not work that way, and that's pretty hard

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<v Speaker 1>to digest. But don't worry. There are things at the

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<v Speaker 1>quantum realm which do follow your intuition in which you

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<v Speaker 1>can use to help understand and develop an intuitive sense

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<v Speaker 1>of the of the universe, and that's the quantum wave function.

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<v Speaker 1>So how do the quantum object work. Well, a quantum

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<v Speaker 1>object is here and later it's there. What determines that.

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<v Speaker 1>It's not like quantum objects don't follow the laws of physics.

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<v Speaker 1>And you probably know the quantum objects could also be random,

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<v Speaker 1>that you can do the same thing to a quantum

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<v Speaker 1>object twice and get different outcomes. And that's true. All

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<v Speaker 1>those things are true. But the quantum object is ruled

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<v Speaker 1>by something, and that's this quantum wave function. You don't

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<v Speaker 1>have to know a lot of complicated math. All you

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<v Speaker 1>need to know is that the wave function tells you

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<v Speaker 1>where a quantum object is most likely to be. You

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<v Speaker 1>probably have heard that electrons don't have a specific location

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<v Speaker 1>to have a probability cloud around an atom. That's an

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<v Speaker 1>extrapolation of the wave function. The wave function tells you

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<v Speaker 1>where the electron is most like it to be. If

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<v Speaker 1>it's large over here, has it's more likely to be there.

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<v Speaker 1>If it's small somewhere else, it's less likely to be there.

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<v Speaker 1>If it's zero somewhere, it means the particle cannot be there.

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<v Speaker 1>Where is the particle? Actually, we don't know, and there's

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<v Speaker 1>a lot of discussion about whether the wave function means

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<v Speaker 1>the particle isn't actually anywhere or just we don't know

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<v Speaker 1>where it is, but we do know that quantum mechanics

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<v Speaker 1>says that that information does not need to exist. It's

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<v Speaker 1>not necessarily the case that there's hidden knowledge that the

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<v Speaker 1>electron is actually somewhere and we don't know. So the

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<v Speaker 1>best way to think about the wave function is that

0:12:36.240 --> 0:12:39.800
<v Speaker 1>it's physics saying what's allowed and what's more likely, and

0:12:39.840 --> 0:12:42.360
<v Speaker 1>this wave function is what we can grab onto, what

0:12:42.480 --> 0:12:46.480
<v Speaker 1>we can understand because the wave function does follow rules,

0:12:46.760 --> 0:12:50.000
<v Speaker 1>and the wave function has a path that makes sense.

0:12:50.240 --> 0:12:53.079
<v Speaker 1>It flows from one spot to the other. It doesn't

0:12:53.120 --> 0:12:55.880
<v Speaker 1>just disappear and appear somewhere else. So you have to

0:12:56.000 --> 0:12:59.720
<v Speaker 1>let go of your intuitive desire to understand the path

0:12:59.840 --> 0:13:02.800
<v Speaker 1>of of an electron the path of a quantum object,

0:13:02.800 --> 0:13:05.600
<v Speaker 1>because those things don't exist. But instead, when you let

0:13:05.600 --> 0:13:07.840
<v Speaker 1>that go, you can grasp onto the next layer. The

0:13:07.880 --> 0:13:10.840
<v Speaker 1>next layer is this wave function, the thing that determines

0:13:11.160 --> 0:13:13.760
<v Speaker 1>where the electron is, the thing that determines where the

0:13:13.800 --> 0:13:17.200
<v Speaker 1>electron is likely to be somewhere else. And that's the

0:13:17.280 --> 0:13:19.400
<v Speaker 1>key thing, is that the wave function tells you where

0:13:19.440 --> 0:13:23.160
<v Speaker 1>the electron is, and it responds to stimulation, it responds

0:13:23.200 --> 0:13:25.959
<v Speaker 1>to the world, and it flows just like a wave,

0:13:26.679 --> 0:13:28.600
<v Speaker 1>and you can use that you can understand how that

0:13:28.600 --> 0:13:31.760
<v Speaker 1>wave flows through time to understand where the electron is

0:13:31.840 --> 0:13:34.280
<v Speaker 1>likely to be in the future. Even if the electron

0:13:34.320 --> 0:13:37.240
<v Speaker 1>itself doesn't have a path from A to B, it's

0:13:37.360 --> 0:13:40.640
<v Speaker 1>wave function does. So the key to being comfortable with

0:13:40.760 --> 0:13:44.040
<v Speaker 1>quantum mechanics is to get comfortable with the objects wave

0:13:44.080 --> 0:13:47.880
<v Speaker 1>function rather than the object. All right, So the best

0:13:47.880 --> 0:13:50.520
<v Speaker 1>way to learn a new language is to get practice,

0:13:50.600 --> 0:13:52.800
<v Speaker 1>is to immerse yourself in it. So the next thing

0:13:52.800 --> 0:13:55.280
<v Speaker 1>we're gonna do is a bunch of exercises of diving

0:13:55.320 --> 0:13:58.280
<v Speaker 1>into the quantum realm and being comfortable with the wave

0:13:58.280 --> 0:14:01.079
<v Speaker 1>function understanding how it flows. And to do that, we're

0:14:01.080 --> 0:14:03.960
<v Speaker 1>going to explore in some detail the famous double slit

0:14:04.040 --> 0:14:07.320
<v Speaker 1>experiment that shows us the crazy behavior of quantum mechanics.

0:14:07.360 --> 0:14:08.760
<v Speaker 1>And at the end of it, I hope it all

0:14:08.800 --> 0:14:10.880
<v Speaker 1>makes sense and the weird results of the double slit

0:14:10.920 --> 0:14:14.840
<v Speaker 1>experiment feel totally natural. But first, let's take a quick break.

0:14:27.880 --> 0:14:30.400
<v Speaker 1>All right, So we are talking about quantum mechanics and

0:14:30.400 --> 0:14:33.000
<v Speaker 1>we're trying to get an intuitive grasp of quantum mechanics.

0:14:33.000 --> 0:14:35.400
<v Speaker 1>We want not just that you say things about quantum

0:14:35.400 --> 0:14:37.880
<v Speaker 1>mechanics that sound intelligent. We want to actually get an

0:14:37.960 --> 0:14:41.200
<v Speaker 1>understanding how do things work at the lowest level. What

0:14:41.240 --> 0:14:43.800
<v Speaker 1>intuition do we have that we can apply? And the

0:14:43.920 --> 0:14:46.920
<v Speaker 1>key thing, again, remember, is the wave function. You have

0:14:47.040 --> 0:14:50.560
<v Speaker 1>quantum mechanical objects like electrons and protons and photons. They

0:14:50.560 --> 0:14:55.360
<v Speaker 1>are difficult to describe using our classical ideas of balls

0:14:55.400 --> 0:14:58.720
<v Speaker 1>and objects that move through space because quantum objects don't

0:14:58.760 --> 0:15:02.160
<v Speaker 1>have paths. And said, we're gonna focus on their wave function,

0:15:02.200 --> 0:15:04.440
<v Speaker 1>the thing that says where they are likely to be,

0:15:04.640 --> 0:15:08.080
<v Speaker 1>and we're gonna understand how that wave function changes through time.

0:15:08.280 --> 0:15:10.880
<v Speaker 1>And we're gonna grab onto that instead of having a

0:15:10.920 --> 0:15:13.920
<v Speaker 1>classical path with the object, we're gonna understand how the

0:15:13.960 --> 0:15:16.880
<v Speaker 1>wave function changes through time, because that's the thing that's

0:15:16.960 --> 0:15:20.200
<v Speaker 1>most like a classical path. All right, So we're gonna

0:15:20.200 --> 0:15:22.440
<v Speaker 1>start very simple, and we're gonna work up to more

0:15:22.480 --> 0:15:26.520
<v Speaker 1>complicated situations. Imagine that you are a photon. You are

0:15:26.560 --> 0:15:29.160
<v Speaker 1>a tiny little quantum particle, and you're shot out of

0:15:29.160 --> 0:15:31.520
<v Speaker 1>a laser with a bunch of your friends towards the screen.

0:15:32.080 --> 0:15:36.240
<v Speaker 1>What happens while you leave the laser right later you

0:15:36.360 --> 0:15:40.400
<v Speaker 1>hit the screen. Does that mean that you flew through

0:15:40.520 --> 0:15:45.080
<v Speaker 1>the room from the laser to the screen. Not necessarily, right,

0:15:45.200 --> 0:15:48.760
<v Speaker 1>You do not have a classical path. Just because you

0:15:48.880 --> 0:15:52.120
<v Speaker 1>left the laser and later hit the screen doesn't mean

0:15:52.240 --> 0:15:55.240
<v Speaker 1>you have a trajectory. Doesn't mean that you necessarily can

0:15:55.280 --> 0:16:00.640
<v Speaker 1>be found in between things in the quantum realm. Don't go, however,

0:16:01.000 --> 0:16:05.360
<v Speaker 1>your wave function does. When you are created inside the laser,

0:16:05.440 --> 0:16:07.880
<v Speaker 1>just at the aperture of the laser, your wave function

0:16:07.960 --> 0:16:10.520
<v Speaker 1>says where you're likely to be, And then your wave

0:16:10.600 --> 0:16:15.080
<v Speaker 1>function flows through the room. If it isn't interacting with everything,

0:16:15.360 --> 0:16:18.280
<v Speaker 1>it just flows nicely through the room, showing the most

0:16:18.320 --> 0:16:21.160
<v Speaker 1>likely place to find your location. This is not the

0:16:21.200 --> 0:16:23.080
<v Speaker 1>same as having a classical path. This is sort of

0:16:23.080 --> 0:16:26.560
<v Speaker 1>the path of your wave function. Then it hits the screen,

0:16:26.880 --> 0:16:29.640
<v Speaker 1>and the screen essentially measures it. It says, okay, wave function,

0:16:30.000 --> 0:16:32.720
<v Speaker 1>where is this photon? And that's the moment when the

0:16:32.800 --> 0:16:36.359
<v Speaker 1>universe has to decide. Instead of having a probability distribution

0:16:36.360 --> 0:16:40.080
<v Speaker 1>about where you are, it says where is this actual photon?

0:16:40.600 --> 0:16:42.880
<v Speaker 1>So you have two measurements. When you leave the laser

0:16:43.240 --> 0:16:45.840
<v Speaker 1>and when you hit the screen. What happens in between

0:16:46.240 --> 0:16:49.320
<v Speaker 1>we don't know, but the wave function tells us, given

0:16:49.320 --> 0:16:52.240
<v Speaker 1>that you've left the laser, what's the likely place to

0:16:52.320 --> 0:16:54.000
<v Speaker 1>land on the screen. And then when you land on

0:16:54.000 --> 0:16:56.480
<v Speaker 1>the screen, the universe rolls a die and says where

0:16:56.480 --> 0:17:00.440
<v Speaker 1>you actually are. Okay, that's easy. Now let's do the

0:17:00.440 --> 0:17:03.000
<v Speaker 1>experiment again. A bunch of photons flying out from a

0:17:03.080 --> 0:17:06.120
<v Speaker 1>laser towards the wall. Let's bring in some black walls

0:17:06.200 --> 0:17:08.560
<v Speaker 1>so that instead of having a totally clear path of

0:17:08.640 --> 0:17:11.000
<v Speaker 1>the screen, you have sort of a narrow gap, not

0:17:11.119 --> 0:17:13.600
<v Speaker 1>too small, you know, a few inches. So what's going

0:17:13.640 --> 0:17:17.240
<v Speaker 1>to happen, Well, some of the photons that leave the

0:17:17.320 --> 0:17:20.480
<v Speaker 1>laser are going to go right through that gap and

0:17:20.560 --> 0:17:22.639
<v Speaker 1>hit the screen, just like before. Some of them are

0:17:22.640 --> 0:17:24.760
<v Speaker 1>gonna hit the walls that block a fraction of the

0:17:24.840 --> 0:17:28.080
<v Speaker 1>laser and so on the screen behind. What you'll get

0:17:28.119 --> 0:17:31.080
<v Speaker 1>is sort of a geometric shadow places where the photon

0:17:31.160 --> 0:17:33.000
<v Speaker 1>made it through the gap. You're gonna hit the screen

0:17:33.040 --> 0:17:35.359
<v Speaker 1>at the back, places where they hit the walls that

0:17:35.400 --> 0:17:37.720
<v Speaker 1>we introduced to make this a little gap. They're going

0:17:37.760 --> 0:17:39.320
<v Speaker 1>to hit those walls and they're not going to make

0:17:39.359 --> 0:17:42.520
<v Speaker 1>it to the screen. All right, So instead of having

0:17:42.600 --> 0:17:45.200
<v Speaker 1>just the laser splash on the back screen, now we

0:17:45.240 --> 0:17:48.520
<v Speaker 1>have something called a geometric shadow. Geometric because it has

0:17:48.600 --> 0:17:51.600
<v Speaker 1>crisp edges and it follows the shape of the of

0:17:51.680 --> 0:17:55.760
<v Speaker 1>the thing that the laser went through. No big deal. Now,

0:17:56.480 --> 0:18:00.520
<v Speaker 1>let's narrow the gap. Let's squeeze those two walls that

0:18:00.560 --> 0:18:03.199
<v Speaker 1>can find the laser. Two very very small, something like

0:18:03.280 --> 0:18:06.920
<v Speaker 1>hundreds of nanometers approximately the wavelength of light that's going

0:18:06.920 --> 0:18:09.800
<v Speaker 1>through it. Now what we see on the back wall changes.

0:18:10.040 --> 0:18:12.399
<v Speaker 1>Instead of seeing a geometric shadow, what we see is

0:18:12.440 --> 0:18:15.000
<v Speaker 1>sort of a spray of light. The light is spreading

0:18:15.000 --> 0:18:18.199
<v Speaker 1>out a little bit. It doesn't just become as narrow

0:18:18.320 --> 0:18:20.720
<v Speaker 1>as the gap it's shining through. It spreads out a

0:18:20.720 --> 0:18:24.280
<v Speaker 1>little bit. This is a wave effect. It happens anytime

0:18:24.359 --> 0:18:27.000
<v Speaker 1>a wave passes through a slit that's narrow compared to

0:18:27.040 --> 0:18:29.800
<v Speaker 1>its wavelength. We could do a deep dive under fraction,

0:18:29.840 --> 0:18:31.840
<v Speaker 1>and maybe we will in a future podcast, but it's

0:18:31.880 --> 0:18:34.440
<v Speaker 1>not critical to understand here. The only thing you need

0:18:34.480 --> 0:18:37.800
<v Speaker 1>to understand is at anytime a wave meaning sound or

0:18:37.880 --> 0:18:42.040
<v Speaker 1>light or bathtub splashes or wave functions pass through a

0:18:42.119 --> 0:18:44.920
<v Speaker 1>narrow slit, they spread out a little bit. You can

0:18:44.960 --> 0:18:47.639
<v Speaker 1>do the same kind of experiment in a bathtub. If

0:18:47.680 --> 0:18:50.040
<v Speaker 1>you send water waves through a very narrow gap, you

0:18:50.119 --> 0:18:51.800
<v Speaker 1>notice that when they come out of that gap they

0:18:51.840 --> 0:18:54.800
<v Speaker 1>spread out. Then we'll just shoot out in a narrow column,

0:18:55.119 --> 0:18:57.359
<v Speaker 1>all right. So now we have a very narrow gap,

0:18:57.800 --> 0:18:59.439
<v Speaker 1>and on the backscreen we have a sort of a

0:18:59.520 --> 0:19:02.240
<v Speaker 1>spray of results. We have a spray, not just a

0:19:02.320 --> 0:19:05.360
<v Speaker 1>very narrow geometric shadow. We have a spray of results

0:19:05.359 --> 0:19:08.119
<v Speaker 1>with a light can land, all right, and now we're

0:19:08.160 --> 0:19:10.879
<v Speaker 1>going to make a second narrow gap. So we have

0:19:10.960 --> 0:19:13.960
<v Speaker 1>sources of light in the back maybe lasers, maybe flashlights,

0:19:13.960 --> 0:19:16.520
<v Speaker 1>it doesn't matter. And they shoot light out, and then

0:19:16.520 --> 0:19:19.080
<v Speaker 1>we have two narrow gaps for the light to fly through.

0:19:19.680 --> 0:19:22.000
<v Speaker 1>And so we have light coming through both of those

0:19:22.040 --> 0:19:25.240
<v Speaker 1>gaps towards the wall. What do you see on the

0:19:25.280 --> 0:19:28.200
<v Speaker 1>back screen? You might think, oh, I have two copies

0:19:28.359 --> 0:19:30.200
<v Speaker 1>of what I saw when I had one narrow gap,

0:19:30.240 --> 0:19:32.680
<v Speaker 1>because now I have two narrow gaps, So how hard

0:19:32.720 --> 0:19:35.840
<v Speaker 1>can this be? That's not quite true. What you see

0:19:36.119 --> 0:19:39.800
<v Speaker 1>is an interference pattern. An interference pattern is what happens

0:19:39.840 --> 0:19:44.120
<v Speaker 1>when two waves collide. Because remember that waves are oscillation.

0:19:44.560 --> 0:19:47.880
<v Speaker 1>For example, if you have waves in your bathtub, those

0:19:47.920 --> 0:19:50.239
<v Speaker 1>waves are just the motion of the water moving up

0:19:50.240 --> 0:19:52.560
<v Speaker 1>and down. They're not their own thing. There a motion

0:19:52.640 --> 0:19:55.560
<v Speaker 1>of the water. Same way sound waves, These sounds that

0:19:55.600 --> 0:19:57.840
<v Speaker 1>I'm making into the microphone that you're hearing in your

0:19:57.840 --> 0:20:01.640
<v Speaker 1>earbuds or wherever you're listening, those are oscillations of the air.

0:20:02.000 --> 0:20:04.760
<v Speaker 1>The air itself is shaking, and because it's the shaking

0:20:04.760 --> 0:20:07.320
<v Speaker 1>of a medium, if something else comes along and shakes

0:20:07.359 --> 0:20:10.639
<v Speaker 1>it in another way, those that shaking can interfere, and

0:20:10.640 --> 0:20:12.840
<v Speaker 1>you can have two kinds of interference. You can have

0:20:12.920 --> 0:20:16.040
<v Speaker 1>constructive interference two things are shaking it the same way,

0:20:16.040 --> 0:20:18.239
<v Speaker 1>so you cant sort of double shaking. Or you can

0:20:18.280 --> 0:20:21.439
<v Speaker 1>have destructive interference where two things are shaking it in

0:20:21.440 --> 0:20:25.240
<v Speaker 1>the opposite way and they cancel each other out. For example,

0:20:25.480 --> 0:20:28.920
<v Speaker 1>this is how noise canceling headphones work. They very rapidly

0:20:29.000 --> 0:20:32.000
<v Speaker 1>hear the noises that are around you and admit exactly

0:20:32.040 --> 0:20:35.840
<v Speaker 1>the right sound to cancel out the sound. You can

0:20:35.880 --> 0:20:39.320
<v Speaker 1>create sound which will negate the other sound by shaking

0:20:39.320 --> 0:20:42.760
<v Speaker 1>it the opposite direction. So when the two shakings add up,

0:20:42.960 --> 0:20:45.800
<v Speaker 1>they add up to zero. So this is an interference

0:20:45.840 --> 0:20:48.680
<v Speaker 1>pattern places where things add up to be stronger in

0:20:48.720 --> 0:20:51.560
<v Speaker 1>place where things can cancel each other out. If you

0:20:51.560 --> 0:20:53.440
<v Speaker 1>look on that screen, what you'll see is a very

0:20:53.440 --> 0:20:56.399
<v Speaker 1>bright band in the middle where the two sources of

0:20:56.480 --> 0:20:58.480
<v Speaker 1>light from the two narrow gaps are adding up on

0:20:58.560 --> 0:21:01.240
<v Speaker 1>top of each other. And to the left of it

0:21:01.320 --> 0:21:03.920
<v Speaker 1>is a dark band, a band where the things are

0:21:03.960 --> 0:21:06.560
<v Speaker 1>canceling each other out. And as you move along the

0:21:06.600 --> 0:21:08.880
<v Speaker 1>screen you get bands of light and bands of dark,

0:21:09.040 --> 0:21:11.640
<v Speaker 1>bands of light and bands of dark, and the exact

0:21:11.720 --> 0:21:13.959
<v Speaker 1>width of those things depends on the wavelength of the

0:21:13.960 --> 0:21:18.320
<v Speaker 1>thing that's interfering with itself. Now you're probably thinking, oh, well,

0:21:18.480 --> 0:21:20.960
<v Speaker 1>the light is a wave, right, and if light is

0:21:20.960 --> 0:21:23.920
<v Speaker 1>a wave, it makes perfect sense for light to interfere

0:21:23.920 --> 0:21:26.320
<v Speaker 1>with itself the same way sound does, in the same

0:21:26.320 --> 0:21:29.919
<v Speaker 1>way waves in your bathtub night. That intuition makes sense,

0:21:30.119 --> 0:21:33.600
<v Speaker 1>But unfortunately that is not what's happening, and the next

0:21:33.640 --> 0:21:37.960
<v Speaker 1>experiment reveals that it's something much weirder, much more fascinating,

0:21:37.960 --> 0:21:41.399
<v Speaker 1>which reveals the true quantum nature of light. So we

0:21:41.440 --> 0:21:45.479
<v Speaker 1>have two narrow gaps and we're shining light through both gaps,

0:21:45.520 --> 0:21:47.800
<v Speaker 1>and we see an interference pattern on the back screen,

0:21:48.160 --> 0:21:51.199
<v Speaker 1>and we think well, that's fascinating. I bet it's because

0:21:51.280 --> 0:21:54.320
<v Speaker 1>light is interfering. That light is coming through both gaps,

0:21:54.320 --> 0:21:56.439
<v Speaker 1>and when it comes out the other side, either it

0:21:56.480 --> 0:21:59.600
<v Speaker 1>adds up constructively we get a bright patch, or it

0:21:59.680 --> 0:22:01.720
<v Speaker 1>can't as itself out and we get a dark patch.

0:22:02.440 --> 0:22:04.720
<v Speaker 1>So now let's do an experiment to discover if that's

0:22:04.760 --> 0:22:07.520
<v Speaker 1>actually true. What we're gonna do is we're gonna dial

0:22:07.640 --> 0:22:10.040
<v Speaker 1>down the source of the light. Maybe we had a laser,

0:22:10.119 --> 0:22:12.080
<v Speaker 1>maybe we had a flash light, doesn't matter too much,

0:22:12.520 --> 0:22:15.199
<v Speaker 1>but let's turn down the source of the light. And

0:22:15.240 --> 0:22:18.120
<v Speaker 1>as we talked about in a podcast very recently, light

0:22:18.280 --> 0:22:22.040
<v Speaker 1>is not continuous. It's not just the smooth oscillations of

0:22:22.040 --> 0:22:25.680
<v Speaker 1>the electromagnetic waves. Light is made of packets, and those

0:22:25.720 --> 0:22:29.240
<v Speaker 1>packets are photons. So you can't actually turn a light

0:22:29.280 --> 0:22:32.000
<v Speaker 1>down to any arbitrary value. You have to turn it

0:22:32.040 --> 0:22:35.040
<v Speaker 1>down for example, one photon a second, or two photons

0:22:35.080 --> 0:22:37.439
<v Speaker 1>a second, or three photons a second. You can't have

0:22:37.760 --> 0:22:40.600
<v Speaker 1>one point five photons a second. But what we can

0:22:40.600 --> 0:22:43.520
<v Speaker 1>do is something really fascinating. We can turn the light

0:22:43.560 --> 0:22:46.320
<v Speaker 1>down so we're shooting out one photon at a time,

0:22:46.760 --> 0:22:49.399
<v Speaker 1>maybe one photon, and then you wait five seconds, you

0:22:49.400 --> 0:22:52.280
<v Speaker 1>shoot out another photon. The idea is that one photon

0:22:52.320 --> 0:22:54.720
<v Speaker 1>has had plenty of time to go through the whole

0:22:54.720 --> 0:22:58.640
<v Speaker 1>experiment before the next photon comes through. Now, if the

0:22:58.680 --> 0:23:02.720
<v Speaker 1>interference comes from light coming through both of those narrow

0:23:02.760 --> 0:23:06.840
<v Speaker 1>gaps and then interfering, then the interference pattern should vanish

0:23:06.920 --> 0:23:09.639
<v Speaker 1>when we slow the experiment down to one photon at

0:23:09.640 --> 0:23:13.119
<v Speaker 1>a time. Because there's only one photon in the experiment

0:23:13.240 --> 0:23:17.040
<v Speaker 1>at a time, there's no other photon to interfere. That's

0:23:17.080 --> 0:23:19.760
<v Speaker 1>what you would expect if the interference pattern came from

0:23:19.800 --> 0:23:23.520
<v Speaker 1>the interference of the light waves. But it doesn't, because

0:23:23.560 --> 0:23:26.400
<v Speaker 1>what happens when we do this experiment is that we

0:23:26.480 --> 0:23:29.720
<v Speaker 1>still get an interference pattern. I remember learning about this

0:23:29.760 --> 0:23:32.520
<v Speaker 1>in college and it blew my mind. You shoot one

0:23:32.560 --> 0:23:35.760
<v Speaker 1>photon at a time, one photon goes here, another one

0:23:35.800 --> 0:23:39.760
<v Speaker 1>goes there. And remember, quantum mechanics is random, So there's

0:23:39.800 --> 0:23:42.919
<v Speaker 1>a wave function for each photon, and that wave function

0:23:42.960 --> 0:23:46.720
<v Speaker 1>says the probability of any given photon going somewhere. But

0:23:46.800 --> 0:23:49.760
<v Speaker 1>two photons shot in exactly the same direction under the

0:23:49.800 --> 0:23:53.159
<v Speaker 1>same conditions don't have to land in the same place.

0:23:53.600 --> 0:23:56.720
<v Speaker 1>The universe throws a new quantum number for every photon,

0:23:57.080 --> 0:23:59.240
<v Speaker 1>So the first one might land here and the next

0:23:59.240 --> 0:24:01.679
<v Speaker 1>one might land there. And what you do as you

0:24:01.920 --> 0:24:04.439
<v Speaker 1>do this experiment, which now takes longer because you're shooting

0:24:04.480 --> 0:24:07.800
<v Speaker 1>a lot of individual photons, what you see is that

0:24:07.880 --> 0:24:11.520
<v Speaker 1>you very gradually build up the interference pattern. Again. You

0:24:11.560 --> 0:24:14.720
<v Speaker 1>get a lot more photons landing where the interference pattern

0:24:14.840 --> 0:24:17.800
<v Speaker 1>was bright, and you get no photons landing where the

0:24:17.840 --> 0:24:20.800
<v Speaker 1>screen was previously dark, and you've got a few landing

0:24:20.800 --> 0:24:23.160
<v Speaker 1>where the where the screen was a little bit bright.

0:24:23.600 --> 0:24:27.600
<v Speaker 1>So the photons follow this interference pattern. It's like for

0:24:27.640 --> 0:24:30.480
<v Speaker 1>each one it says, all right, well we gotta have

0:24:30.560 --> 0:24:32.199
<v Speaker 1>a bunch over here and a few over there and

0:24:32.280 --> 0:24:34.160
<v Speaker 1>none over there, so let's roll a die and see

0:24:34.200 --> 0:24:36.959
<v Speaker 1>where you're gonna go. And eventually you just build up

0:24:37.000 --> 0:24:40.920
<v Speaker 1>exactly the same pattern that you saw before. So how

0:24:41.000 --> 0:24:43.320
<v Speaker 1>is that possible? How is it possible to have an

0:24:43.359 --> 0:24:46.840
<v Speaker 1>interference pattern if you don't have two photons in the

0:24:46.880 --> 0:24:50.919
<v Speaker 1>experiment at once, What is doing the interfering? Well, the

0:24:51.000 --> 0:24:53.320
<v Speaker 1>problem with this thinking is that you're thinking of the

0:24:53.320 --> 0:24:57.040
<v Speaker 1>photons as flying through the experiment. But remember they don't

0:24:57.119 --> 0:25:00.720
<v Speaker 1>have quantum paths. These things ex this when they leave

0:25:00.760 --> 0:25:03.000
<v Speaker 1>the light source, and then they exist when they hit

0:25:03.000 --> 0:25:06.040
<v Speaker 1>the screen. But in between they don't necessarily have a

0:25:06.119 --> 0:25:09.239
<v Speaker 1>location that we can think about sensibly. But what they

0:25:09.280 --> 0:25:12.960
<v Speaker 1>do have is a wave function. So instead of trying

0:25:12.960 --> 0:25:15.440
<v Speaker 1>to follow the photon through the experiment and making sense

0:25:15.440 --> 0:25:17.679
<v Speaker 1>of it, let's follow the wave function. That's the thing

0:25:17.680 --> 0:25:19.879
<v Speaker 1>we're gonna grab onto and try to make sense of

0:25:20.240 --> 0:25:23.399
<v Speaker 1>things that it's something that we can actually understand. So

0:25:23.480 --> 0:25:25.920
<v Speaker 1>let's start from the beginning. The photon is shot out

0:25:26.040 --> 0:25:28.720
<v Speaker 1>from this laser or this flashlight whatever, and has a

0:25:28.760 --> 0:25:31.600
<v Speaker 1>certain way function to be there. Now, the wave function

0:25:31.680 --> 0:25:34.520
<v Speaker 1>flies across the room and it spreads out a little

0:25:34.520 --> 0:25:36.800
<v Speaker 1>bit because that's the source of the light, and then

0:25:36.840 --> 0:25:39.240
<v Speaker 1>it hits the wall, the wall that has two narrow

0:25:39.280 --> 0:25:42.960
<v Speaker 1>gaps in it. Then what happens, Well, nobody has made

0:25:43.000 --> 0:25:45.720
<v Speaker 1>a measurement yet. The photon is interacting with this wall,

0:25:45.760 --> 0:25:49.719
<v Speaker 1>but nobody's looking, nobody's asked where is the photon? So

0:25:49.760 --> 0:25:54.080
<v Speaker 1>it has chance to go through one slit and chance

0:25:54.160 --> 0:25:56.640
<v Speaker 1>to go through the other slit. So what happens when

0:25:56.680 --> 0:26:00.200
<v Speaker 1>the wave function hits the wall? And remember it's hey

0:26:00.240 --> 0:26:02.520
<v Speaker 1>to talk about the wave function moving through space. The

0:26:02.560 --> 0:26:04.800
<v Speaker 1>wave function has a path that we can think about.

0:26:05.520 --> 0:26:08.240
<v Speaker 1>So when the wave function hits the wall, it splits

0:26:08.240 --> 0:26:11.680
<v Speaker 1>into half of it goes through one slit and half

0:26:11.720 --> 0:26:14.480
<v Speaker 1>of it goes through the other slid. And that reflects

0:26:14.520 --> 0:26:16.960
<v Speaker 1>the fact that the photon itself has a fifty percent

0:26:17.040 --> 0:26:19.280
<v Speaker 1>chance of hitting one slit and a fifty percent chance

0:26:19.320 --> 0:26:22.399
<v Speaker 1>of hitting the other slid. And if nobody has asked

0:26:22.480 --> 0:26:24.639
<v Speaker 1>which slip did it go through, it just has fifty

0:26:24.680 --> 0:26:26.960
<v Speaker 1>percent chance of going through one and a fifty pc

0:26:27.119 --> 0:26:29.720
<v Speaker 1>chance of going through the other. Now, let's follow the

0:26:29.720 --> 0:26:32.160
<v Speaker 1>wave function. The wave function comes out the other side

0:26:32.160 --> 0:26:34.320
<v Speaker 1>of these slits, and there's a little bit of source

0:26:34.359 --> 0:26:37.120
<v Speaker 1>of wave function from one slit and source of wave

0:26:37.119 --> 0:26:39.800
<v Speaker 1>function of the other slit. And a wave function, of course,

0:26:40.240 --> 0:26:43.320
<v Speaker 1>is a wave. So what happens when you get two

0:26:43.359 --> 0:26:46.240
<v Speaker 1>sources of a wave coming out from the wall towards

0:26:46.240 --> 0:26:50.560
<v Speaker 1>the screen, of course you get interference and so on

0:26:50.600 --> 0:26:54.000
<v Speaker 1>the screen. What's actually happening is that the wave function

0:26:54.080 --> 0:26:57.399
<v Speaker 1>is interfering with itself, and it gives the photon a

0:26:57.480 --> 0:27:00.480
<v Speaker 1>high probability to be in some locations and a low

0:27:00.560 --> 0:27:04.000
<v Speaker 1>probability to be in other locations, and a zero probability

0:27:04.000 --> 0:27:06.840
<v Speaker 1>to be in some locations. So for the wave function,

0:27:06.920 --> 0:27:10.639
<v Speaker 1>it determines where that photon, that individual photon that we

0:27:10.680 --> 0:27:14.040
<v Speaker 1>put into our experiment is likely to land. And so

0:27:14.080 --> 0:27:16.800
<v Speaker 1>the thing that's doing the interfering is not light because

0:27:16.840 --> 0:27:19.000
<v Speaker 1>you have a single photon in the experiment at once.

0:27:19.359 --> 0:27:21.520
<v Speaker 1>And if you're not convinced that this is the wave

0:27:21.640 --> 0:27:26.200
<v Speaker 1>function interfering, because you think maybe it's really just light interfering,

0:27:26.240 --> 0:27:29.880
<v Speaker 1>wouldn't that be simpler. But remember that we're sending a

0:27:29.920 --> 0:27:32.840
<v Speaker 1>single photon through a time in order to prevent the

0:27:32.840 --> 0:27:36.520
<v Speaker 1>photons from interacting, from interfering with each other. But the

0:27:36.600 --> 0:27:40.560
<v Speaker 1>real killer is that they did this experiment not with photons,

0:27:40.560 --> 0:27:44.440
<v Speaker 1>but later with electrons and they got the same result.

0:27:44.800 --> 0:27:48.200
<v Speaker 1>But what's doing the interfering is the wave function. Another

0:27:48.200 --> 0:27:50.720
<v Speaker 1>way to think about it is that the photon has

0:27:50.800 --> 0:27:53.639
<v Speaker 1>equal probability to go through one slit and the other,

0:27:54.119 --> 0:27:57.600
<v Speaker 1>and that probability is doing the interfering because remember the

0:27:57.600 --> 0:28:01.320
<v Speaker 1>way functions what controls where the partal has a probability

0:28:01.359 --> 0:28:04.240
<v Speaker 1>to be. So because it has a probability to be

0:28:04.280 --> 0:28:09.119
<v Speaker 1>through slit one and through slit two, those probabilities interfere

0:28:09.160 --> 0:28:13.120
<v Speaker 1>with each other, and those probabilities determine where the photon

0:28:13.200 --> 0:28:16.840
<v Speaker 1>can land on the back screen, and that's what we see,

0:28:16.960 --> 0:28:19.080
<v Speaker 1>and that's why it builds up one at a time

0:28:19.400 --> 0:28:23.080
<v Speaker 1>because for photon number one, it follows that distribution, and

0:28:23.119 --> 0:28:25.439
<v Speaker 1>the universe rolls a die only when it gets to

0:28:25.480 --> 0:28:27.840
<v Speaker 1>the back screen. That's when we're measuring it. That's when

0:28:27.840 --> 0:28:30.720
<v Speaker 1>we're interacting with it. That's when we're saying, Okay, a photon,

0:28:31.040 --> 0:28:34.399
<v Speaker 1>where are you? So remember that the quantum wave function

0:28:34.440 --> 0:28:37.640
<v Speaker 1>determines where you are most likely you the photon are

0:28:37.680 --> 0:28:40.280
<v Speaker 1>most likely to be found, and there are parts of

0:28:40.280 --> 0:28:42.320
<v Speaker 1>the screen where the photon has a high chance of

0:28:42.400 --> 0:28:46.760
<v Speaker 1>landing because the wave function interferes constructively and places on

0:28:46.800 --> 0:28:49.320
<v Speaker 1>the screen where has no chance of landing because the

0:28:49.360 --> 0:28:52.080
<v Speaker 1>two halves of its wave function are interfering with each

0:28:52.080 --> 0:28:55.840
<v Speaker 1>other destructively. They're canceling each other out. And you might

0:28:55.880 --> 0:28:58.600
<v Speaker 1>be thinking, well, is the wave function of physical thing?

0:28:58.680 --> 0:29:01.560
<v Speaker 1>Is it just a tool where you using to calculate things,

0:29:01.920 --> 0:29:04.440
<v Speaker 1>or is it something that's real and part of the universe.

0:29:04.840 --> 0:29:07.880
<v Speaker 1>That's a hard question to answer. It's philosophical, but here

0:29:07.920 --> 0:29:11.520
<v Speaker 1>we're seeing real physical effects of the existence of the

0:29:11.520 --> 0:29:14.840
<v Speaker 1>wave function. The wave function really does act like a wave,

0:29:14.880 --> 0:29:17.120
<v Speaker 1>and a wave that you can grasp on the way

0:29:17.160 --> 0:29:19.720
<v Speaker 1>that you can use your intuition to understand. You can

0:29:19.760 --> 0:29:21.640
<v Speaker 1>think of this wave function the same way you think

0:29:21.640 --> 0:29:25.160
<v Speaker 1>of waves in water, flowing through things and diffracting and

0:29:25.240 --> 0:29:28.840
<v Speaker 1>interfering and doing all those wave like things. And this

0:29:28.960 --> 0:29:31.680
<v Speaker 1>is the key to understanding quantum mechanics is grabbing onto

0:29:31.680 --> 0:29:34.280
<v Speaker 1>the wave function because it flows and it moves just

0:29:34.360 --> 0:29:37.640
<v Speaker 1>like a classical wave. It's just that it determines the

0:29:37.680 --> 0:29:40.480
<v Speaker 1>performance and the behavior in the location of a crazy

0:29:40.560 --> 0:29:43.880
<v Speaker 1>quantum object. So while that sinks into your brain, you're

0:29:43.960 --> 0:29:47.840
<v Speaker 1>understanding your classical intuition for the quantum wave function and

0:29:47.880 --> 0:29:51.520
<v Speaker 1>how a single photons wave function can interfere with itself

0:29:51.720 --> 0:29:54.600
<v Speaker 1>to give you this crazy pattern on the screen. While

0:29:54.640 --> 0:29:57.560
<v Speaker 1>that's in your mind, let's take a quick break before

0:29:57.600 --> 0:30:01.200
<v Speaker 1>we think about the last, the craziest, the most amazing

0:30:01.320 --> 0:30:04.880
<v Speaker 1>part of this double slit experiment. Just after this break,

0:30:17.920 --> 0:30:20.280
<v Speaker 1>all right, So we are spending time in the quantum

0:30:20.280 --> 0:30:23.120
<v Speaker 1>realm trying to become familiar, trying to develop an intuition.

0:30:23.560 --> 0:30:25.680
<v Speaker 1>And the key point I'm trying to make today is

0:30:25.720 --> 0:30:28.760
<v Speaker 1>that your intuition cannot be applied to a quantum object

0:30:28.840 --> 0:30:31.200
<v Speaker 1>because it's just different from the kind of things you're

0:30:31.240 --> 0:30:33.920
<v Speaker 1>familiar with. It is not a tiny spinning ball, It

0:30:34.080 --> 0:30:36.480
<v Speaker 1>is not a wave. It is neither. It is both

0:30:36.520 --> 0:30:40.360
<v Speaker 1>into something new and weird that possibly we will never understand.

0:30:40.720 --> 0:30:43.120
<v Speaker 1>But in my view, the best chance to understanding it

0:30:43.160 --> 0:30:45.680
<v Speaker 1>is to spend time with it, to develop an intuition

0:30:45.760 --> 0:30:48.320
<v Speaker 1>by immersion. So that's what we're doing today. We are

0:30:48.320 --> 0:30:51.800
<v Speaker 1>flying our way through experiments conducted by a physicist trying

0:30:51.800 --> 0:30:54.400
<v Speaker 1>to reveal the true nature of the universe. So we

0:30:54.480 --> 0:30:57.680
<v Speaker 1>started out just shooting photons against the screen to get

0:30:57.720 --> 0:31:00.200
<v Speaker 1>familiar with the idea that the photons don't move move

0:31:00.320 --> 0:31:02.240
<v Speaker 1>from one side of the screen to the other. They

0:31:02.240 --> 0:31:04.920
<v Speaker 1>have a probability to be in a certain place where

0:31:05.000 --> 0:31:07.640
<v Speaker 1>they only exist where they are measured and in between.

0:31:07.640 --> 0:31:11.040
<v Speaker 1>They do not necessarily have a path. You measure something,

0:31:11.520 --> 0:31:13.440
<v Speaker 1>you see the photon coming out of the light source

0:31:13.600 --> 0:31:15.720
<v Speaker 1>and later you see it on the screen. Doesn't mean

0:31:15.760 --> 0:31:17.760
<v Speaker 1>you can draw a straight line between those and say

0:31:17.880 --> 0:31:20.680
<v Speaker 1>the light was here. But what you can do is

0:31:20.720 --> 0:31:23.360
<v Speaker 1>talk about its wave function. The wave function leaves the

0:31:23.440 --> 0:31:26.240
<v Speaker 1>light source and later hits the screen, where eventually the

0:31:26.280 --> 0:31:29.440
<v Speaker 1>universe demands a measurement, and so the universe has to

0:31:29.480 --> 0:31:32.080
<v Speaker 1>decide based on where the wave function is, where to

0:31:32.160 --> 0:31:35.200
<v Speaker 1>actually put the photon. But that wave function is something

0:31:35.240 --> 0:31:38.000
<v Speaker 1>you can grasp, something you can follow through space in

0:31:38.040 --> 0:31:41.200
<v Speaker 1>a way that your intuition will be satisfied with. So

0:31:41.280 --> 0:31:44.760
<v Speaker 1>then we added these barriers. So instead of just splashing

0:31:44.960 --> 0:31:47.320
<v Speaker 1>light on the back screen, we saw a geometric shadow.

0:31:47.720 --> 0:31:50.640
<v Speaker 1>Then we narrowed the barriers until we saw the effects

0:31:50.680 --> 0:31:53.840
<v Speaker 1>of waves. We saw that the fact that waves coming

0:31:53.840 --> 0:31:56.240
<v Speaker 1>through a very narrow gap will spread out a little bit,

0:31:56.720 --> 0:31:59.480
<v Speaker 1>and then we added a second narrow gap, so we

0:31:59.560 --> 0:32:03.480
<v Speaker 1>had to sources of waves. And those waves apparently were interfering,

0:32:03.840 --> 0:32:06.280
<v Speaker 1>and your intuition was suggested that maybe it was light

0:32:06.280 --> 0:32:08.160
<v Speaker 1>doing the interfering, because we like to think of light

0:32:08.160 --> 0:32:11.080
<v Speaker 1>as a wave. But then we played a trick. We said,

0:32:11.480 --> 0:32:15.400
<v Speaker 1>let's slow down the experiment, only shoot one photon at

0:32:15.400 --> 0:32:18.400
<v Speaker 1>a time. And this, in theory, if light was a

0:32:18.400 --> 0:32:21.600
<v Speaker 1>wave and it was waves doing the interacting, this should

0:32:21.640 --> 0:32:24.960
<v Speaker 1>destroy the interference pattern because only one photon was going

0:32:25.000 --> 0:32:27.880
<v Speaker 1>through the experiment at a time. But it didn't. It

0:32:28.000 --> 0:32:31.040
<v Speaker 1>slowed down the interference pattern and it showed us that

0:32:31.080 --> 0:32:34.320
<v Speaker 1>there was still something they're doing the interfering, and that's

0:32:34.360 --> 0:32:36.760
<v Speaker 1>the key is letting go of this idea that the

0:32:36.840 --> 0:32:40.480
<v Speaker 1>light is flowing through the experiment, because quantum objects don't flow,

0:32:40.520 --> 0:32:44.040
<v Speaker 1>they don't go, and they don't have they don't have paths. Instead,

0:32:44.400 --> 0:32:47.800
<v Speaker 1>what's flowing through the experiment is the quantum wave of

0:32:47.840 --> 0:32:50.440
<v Speaker 1>the photon, and the quantum wave of the photon can

0:32:50.480 --> 0:32:53.400
<v Speaker 1>go through either slit as a fifty percent chance to

0:32:53.440 --> 0:32:55.440
<v Speaker 1>go through one and a fifty percent chance to go

0:32:55.520 --> 0:32:58.240
<v Speaker 1>through the other, and then it interferes with itself. It

0:32:58.320 --> 0:33:01.080
<v Speaker 1>gives us this interference pattern, and it's hard to get

0:33:01.200 --> 0:33:03.400
<v Speaker 1>your mind around what it means for the photon to

0:33:03.480 --> 0:33:06.080
<v Speaker 1>have a chance to go through both slits at once.

0:33:06.720 --> 0:33:08.840
<v Speaker 1>Most likely you think of it like this. You think, well,

0:33:09.280 --> 0:33:11.920
<v Speaker 1>the photon either went through one slit or the other.

0:33:12.120 --> 0:33:14.959
<v Speaker 1>We just don't know. And it's true that often in

0:33:15.040 --> 0:33:18.480
<v Speaker 1>science and in physics, we use probability to describe our

0:33:18.560 --> 0:33:21.240
<v Speaker 1>lack of knowledge. We say the universe is thirteen point

0:33:21.280 --> 0:33:24.320
<v Speaker 1>eight billion years old plus or minus a hundred million,

0:33:24.680 --> 0:33:26.760
<v Speaker 1>and it reflects not the fact that the universe doesn't

0:33:26.800 --> 0:33:29.000
<v Speaker 1>have a specific age, but just the fact that we

0:33:29.040 --> 0:33:31.120
<v Speaker 1>don't know it well enough that we haven't been able

0:33:31.160 --> 0:33:34.520
<v Speaker 1>to measure it. But this is different. It's not true

0:33:34.680 --> 0:33:37.200
<v Speaker 1>that the photon went through one slit or went through

0:33:37.240 --> 0:33:39.440
<v Speaker 1>the other and we just don't know. The truth is

0:33:39.440 --> 0:33:42.719
<v Speaker 1>that its wave went through both. It needed to go

0:33:42.800 --> 0:33:46.240
<v Speaker 1>through both in order to give us the interference pattern. Remember,

0:33:46.680 --> 0:33:49.560
<v Speaker 1>we didn't collapse the wave, We didn't interfere, We didn't

0:33:49.560 --> 0:33:52.880
<v Speaker 1>interact with the photon um when it's going through the slit.

0:33:52.960 --> 0:33:55.240
<v Speaker 1>We just let it fly through one slit or the other.

0:33:55.560 --> 0:33:57.920
<v Speaker 1>We don't pay attention. We only are looking at the

0:33:57.920 --> 0:34:01.160
<v Speaker 1>back screen. So le stick into that. Let's try to

0:34:01.240 --> 0:34:04.080
<v Speaker 1>probe that. What if we try to figure out which

0:34:04.120 --> 0:34:06.960
<v Speaker 1>slit the photon actually went through, because we are a

0:34:07.000 --> 0:34:09.880
<v Speaker 1>hardcore classicist and we want to know did it go

0:34:09.920 --> 0:34:12.080
<v Speaker 1>through one or the other. So we build a little

0:34:12.080 --> 0:34:15.040
<v Speaker 1>detector detector that doesn't change the direction of the photon

0:34:15.280 --> 0:34:17.520
<v Speaker 1>in a measurable way, but just tells us whether a

0:34:17.600 --> 0:34:19.920
<v Speaker 1>photon went through a slit, and we attach it to

0:34:19.960 --> 0:34:22.439
<v Speaker 1>one of the slits, and we do our experiment again.

0:34:22.440 --> 0:34:26.040
<v Speaker 1>And the idea here is just to confirm our intuition,

0:34:26.080 --> 0:34:29.240
<v Speaker 1>our classical intuition that the photon went through one slit

0:34:29.320 --> 0:34:31.480
<v Speaker 1>or the other. We turn on the experiment again. We

0:34:31.520 --> 0:34:34.440
<v Speaker 1>shoot one single photon at a time, and for every photon,

0:34:34.880 --> 0:34:37.680
<v Speaker 1>our detector tells us whether it went through slit one

0:34:37.719 --> 0:34:39.880
<v Speaker 1>because it beeps, or whether it went through slit two

0:34:40.000 --> 0:34:42.600
<v Speaker 1>because it doesn't beep. Do we get the same result

0:34:42.640 --> 0:34:45.960
<v Speaker 1>on the back screen. The answer is we do not.

0:34:46.760 --> 0:34:49.560
<v Speaker 1>We do not get the interference pattern on the back screen. Instead,

0:34:49.600 --> 0:34:53.280
<v Speaker 1>what we get our two geometrical shadows. And at first

0:34:53.320 --> 0:34:55.440
<v Speaker 1>this might be nonsensical. You might think, well, but the

0:34:55.480 --> 0:34:58.359
<v Speaker 1>detector is just telling you whether the photon went through

0:34:58.440 --> 0:35:01.040
<v Speaker 1>one or the other. It's not changing the photon in

0:35:01.080 --> 0:35:04.480
<v Speaker 1>any measurable way. What's the issue? How could it possibly

0:35:04.560 --> 0:35:07.399
<v Speaker 1>change what we're seeing in the back screen. But that's

0:35:07.440 --> 0:35:09.720
<v Speaker 1>because you're thinking about the photon is having a path,

0:35:09.840 --> 0:35:12.439
<v Speaker 1>is flying through When you think, well, it either went

0:35:12.480 --> 0:35:14.719
<v Speaker 1>through one slit or the other, it doesn't matter if

0:35:14.760 --> 0:35:18.200
<v Speaker 1>I know that, don't shouldn't change what happens. It's like

0:35:18.239 --> 0:35:21.520
<v Speaker 1>if you're watching a horse race, just watching what happens

0:35:21.560 --> 0:35:25.160
<v Speaker 1>around the first bend shouldn't change who wins the race? Right, Well,

0:35:25.200 --> 0:35:28.040
<v Speaker 1>that's not the case, because remember what's flying through your

0:35:28.040 --> 0:35:30.960
<v Speaker 1>experiment is not a photon. Photons don't fly through things.

0:35:31.000 --> 0:35:34.440
<v Speaker 1>They're not classical objects with paths. What's flying through the

0:35:34.480 --> 0:35:38.359
<v Speaker 1>experiment is a quantum wave, and the quantum wave is

0:35:38.440 --> 0:35:41.560
<v Speaker 1>sensitive to being watched. When you watch a quantum wave,

0:35:41.560 --> 0:35:43.720
<v Speaker 1>when you interact with it, when you say, okay, quantum

0:35:43.719 --> 0:35:46.759
<v Speaker 1>wave of this photon, where's the photon now? Then it

0:35:46.880 --> 0:35:49.320
<v Speaker 1>changes it it collapses and it says, okay, the photon

0:35:49.440 --> 0:35:52.360
<v Speaker 1>is here, and then the quantum wave can continue. But

0:35:52.480 --> 0:35:54.960
<v Speaker 1>you've narrowed it down. You pinned it down and said, okay,

0:35:55.000 --> 0:35:58.200
<v Speaker 1>it's right here, and then the quantum wave continues from

0:35:58.239 --> 0:36:01.200
<v Speaker 1>that location. So in the first scenario, when we didn't

0:36:01.239 --> 0:36:05.000
<v Speaker 1>have the detector, the quantum wave flies, it hits the

0:36:05.040 --> 0:36:07.520
<v Speaker 1>two slits, and it splits in half, and some of

0:36:07.520 --> 0:36:11.200
<v Speaker 1>the quantum wave goes through both slits. Each slit emits

0:36:11.360 --> 0:36:14.080
<v Speaker 1>some portion of the quantum wave, and those two halves

0:36:14.239 --> 0:36:16.840
<v Speaker 1>interfere with each other. In the version where you have

0:36:17.000 --> 0:36:21.040
<v Speaker 1>the detector on, then you're asking the universe to decide

0:36:21.440 --> 0:36:24.000
<v Speaker 1>which slit the photon went through, not just to reveal,

0:36:24.239 --> 0:36:27.279
<v Speaker 1>but to decide which slit the photon went through. So

0:36:27.320 --> 0:36:29.680
<v Speaker 1>the quantum wave can only go through one of the

0:36:29.719 --> 0:36:32.880
<v Speaker 1>slits and not the other one. Because the detector tells

0:36:32.920 --> 0:36:35.600
<v Speaker 1>you which slit it went through, it has no probability

0:36:35.640 --> 0:36:38.000
<v Speaker 1>to go through the other slit, So all it can

0:36:38.000 --> 0:36:40.640
<v Speaker 1>do is then emits some quantum wave from one of

0:36:40.640 --> 0:36:44.000
<v Speaker 1>the slits. If you hadn't looked, then it's free to

0:36:44.040 --> 0:36:46.960
<v Speaker 1>emit quantum wave from both slits, which can then interfere.

0:36:47.080 --> 0:36:49.200
<v Speaker 1>But if you look, if you demand an answer, if

0:36:49.200 --> 0:36:52.000
<v Speaker 1>you want to know which slit it went through, then

0:36:52.000 --> 0:36:54.720
<v Speaker 1>the quantum wave can only emit from the other slit

0:36:55.440 --> 0:36:58.040
<v Speaker 1>and then there's no interference pattern. There's just it's just

0:36:58.080 --> 0:37:00.759
<v Speaker 1>like as if you had one slit. And this is

0:37:00.800 --> 0:37:04.000
<v Speaker 1>the thing that blows most people's minds that asking questions

0:37:04.040 --> 0:37:07.600
<v Speaker 1>of the universe changes the answer. And it's true because

0:37:07.719 --> 0:37:11.040
<v Speaker 1>quantum waves respond to measurement. They like to be uncertain.

0:37:11.200 --> 0:37:14.680
<v Speaker 1>They're happy to fly through the universe keeping their uncertainty

0:37:14.680 --> 0:37:18.080
<v Speaker 1>their probability distribution until they are asked, and that moment

0:37:18.120 --> 0:37:20.280
<v Speaker 1>that you ask it, then it collapses and it says

0:37:20.440 --> 0:37:23.279
<v Speaker 1>the photon is here, the photon is there. So this

0:37:23.320 --> 0:37:25.640
<v Speaker 1>is an object we can grasp onto because it helps

0:37:25.680 --> 0:37:29.560
<v Speaker 1>us understand how things move through the universe, but also

0:37:29.680 --> 0:37:31.799
<v Speaker 1>is something new and something weird and something we have

0:37:31.880 --> 0:37:33.960
<v Speaker 1>to get familiar with. But the only way to do that,

0:37:34.040 --> 0:37:36.719
<v Speaker 1>of course, is to spend some time with it. So

0:37:36.760 --> 0:37:38.799
<v Speaker 1>I hope that's helped you understand a little bit about

0:37:38.880 --> 0:37:42.279
<v Speaker 1>quantum mechanics. The first step in becoming familiar with the

0:37:42.360 --> 0:37:45.200
<v Speaker 1>quantum realm is to abandon your idea of a quantum path,

0:37:45.440 --> 0:37:48.040
<v Speaker 1>that things have to move through the universe in a

0:37:48.080 --> 0:37:51.399
<v Speaker 1>continuous manner, that if you're over here and later you're

0:37:51.400 --> 0:37:54.239
<v Speaker 1>over there, you have to have somehow moved from one

0:37:54.320 --> 0:37:57.279
<v Speaker 1>to the other. But instead, instead of grabbing onto this

0:37:57.360 --> 0:38:00.400
<v Speaker 1>quantum path, there is something else you can grab onto,

0:38:00.560 --> 0:38:04.120
<v Speaker 1>this quantum wave function, which behaves in very understandable ways,

0:38:04.160 --> 0:38:06.800
<v Speaker 1>and we have equations that govern exactly how it moves.

0:38:07.160 --> 0:38:10.279
<v Speaker 1>And those equations, like the Shortinger wave equation, treat these

0:38:10.320 --> 0:38:12.960
<v Speaker 1>things like waves. Waves that we can understand that we

0:38:13.000 --> 0:38:16.719
<v Speaker 1>can actually apply our wave like intuition too, So if

0:38:16.760 --> 0:38:19.200
<v Speaker 1>you want to develop an intuition for quantum mechanics, get

0:38:19.280 --> 0:38:21.960
<v Speaker 1>cozy with the wave function. Now. The wave function, of

0:38:22.000 --> 0:38:26.080
<v Speaker 1>course has other mysteries, mysteries that continue to confound us

0:38:26.360 --> 0:38:29.879
<v Speaker 1>and the biggest one is this business about measurement. How

0:38:29.960 --> 0:38:32.560
<v Speaker 1>is it the wave function knows to collapse that We've

0:38:32.600 --> 0:38:35.000
<v Speaker 1>asked it a question and it's given us an answer

0:38:35.360 --> 0:38:38.000
<v Speaker 1>that when the wave function hits the screen, it says

0:38:38.120 --> 0:38:41.160
<v Speaker 1>the photon has various probabilities to be in various locations.

0:38:41.280 --> 0:38:43.680
<v Speaker 1>But then it actually makes a decision. When does the

0:38:43.760 --> 0:38:47.359
<v Speaker 1>universe decide to roll this dice and say, all right,

0:38:47.400 --> 0:38:50.320
<v Speaker 1>photon number seventy four, you are over here. Phot to

0:38:50.440 --> 0:38:53.360
<v Speaker 1>number seventy eight, you are over there. That is a

0:38:53.480 --> 0:38:56.759
<v Speaker 1>deep and recurring mystery of quantum mechanics that nobody really knows.

0:38:56.800 --> 0:38:59.440
<v Speaker 1>The answer to this description I've given you today is

0:38:59.480 --> 0:39:03.719
<v Speaker 1>sometimes as the Copenhagen interpretation of quantum mechanics, and it

0:39:03.800 --> 0:39:07.120
<v Speaker 1>has deep flaws in it. Flaws like who's doing the measuring?

0:39:07.400 --> 0:39:10.560
<v Speaker 1>You might ask, for example, if we if the photons

0:39:10.640 --> 0:39:13.040
<v Speaker 1>hit the screen but nobody looks, if there are no

0:39:13.200 --> 0:39:16.000
<v Speaker 1>humans in that universe, no scientists to do the observing,

0:39:16.400 --> 0:39:19.120
<v Speaker 1>then does the universe collapse the way of function or

0:39:19.120 --> 0:39:21.759
<v Speaker 1>does it keep it vague. We don't know the answer

0:39:21.800 --> 0:39:24.160
<v Speaker 1>to that question because we can't do the experiment in

0:39:24.200 --> 0:39:28.400
<v Speaker 1>which nobody looks and also know the answer, So that's frustrating,

0:39:28.640 --> 0:39:30.399
<v Speaker 1>and that's the source of a lot of discussion about

0:39:30.440 --> 0:39:33.080
<v Speaker 1>quantum mechanics. And there are other interpretations out there, like

0:39:33.120 --> 0:39:36.560
<v Speaker 1>the many Worlds interpretations that clever people like Sean Carroll

0:39:36.600 --> 0:39:39.400
<v Speaker 1>find much more natural, but they require you to accept

0:39:39.440 --> 0:39:42.800
<v Speaker 1>the existence of a huge number of other alternative universes.

0:39:43.040 --> 0:39:46.000
<v Speaker 1>So every interpretation of quantum mechanics comes with some sort

0:39:46.000 --> 0:39:48.760
<v Speaker 1>of cognitive load. And today we're not going to understand

0:39:48.840 --> 0:39:51.680
<v Speaker 1>all of the nuances and open questions of quantum mechanics.

0:39:51.880 --> 0:39:54.120
<v Speaker 1>We just wanted to spend some time becoming familiar with

0:39:54.120 --> 0:39:57.359
<v Speaker 1>the quantum realm. So the next time you read about

0:39:57.440 --> 0:40:00.680
<v Speaker 1>quantum mechanics, or think about quantum computers, or even just

0:40:00.719 --> 0:40:03.759
<v Speaker 1>are on a trip somewhere weird and unusual, remember you

0:40:03.880 --> 0:40:06.640
<v Speaker 1>can become familiar with something strange, something out of your

0:40:06.640 --> 0:40:09.400
<v Speaker 1>experience as long as you spent enough time immersing it,

0:40:09.840 --> 0:40:13.360
<v Speaker 1>marinating in the mathematics and the logic of it. Eventually

0:40:13.600 --> 0:40:16.080
<v Speaker 1>it would become part of who you are. Thanks for

0:40:16.160 --> 0:40:19.239
<v Speaker 1>listening to this explanation of our amazing and crazy and

0:40:19.320 --> 0:40:22.560
<v Speaker 1>totally bonkers universe. And if you have things that you'd

0:40:22.600 --> 0:40:25.520
<v Speaker 1>like us to discuss and break down in an accessible way.

0:40:25.560 --> 0:40:28.440
<v Speaker 1>Please send them to us at feedback at Daniel and

0:40:28.520 --> 0:40:39.520
<v Speaker 1>Joge dot com. Thanks for tuning in. If you still

0:40:39.600 --> 0:40:42.560
<v Speaker 1>have a question after listening to all these explanations, please

0:40:42.840 --> 0:40:45.160
<v Speaker 1>drop us the line. We'd love to hear from you.

0:40:45.160 --> 0:40:48.000
<v Speaker 1>You can find us at Facebook, Twitter, and Instagram at

0:40:48.320 --> 0:40:51.440
<v Speaker 1>Daniel and Jorge That's one word, or email us at

0:40:51.719 --> 0:40:55.440
<v Speaker 1>feedback at Daniel and Jorge dot com. Thanks for listening,

0:40:55.440 --> 0:40:58.160
<v Speaker 1>and remember that Daniel and Jorge Explaining the Universe is

0:40:58.200 --> 0:41:01.799
<v Speaker 1>a production of High Heart Reading More podcast for my

0:41:01.880 --> 0:41:05.680
<v Speaker 1>Heart Radio, visit the I Heart Radio, Apple podcasts, or

0:41:05.719 --> 0:41:13.320
<v Speaker 1>wherever you listen to your favorite shows. Yeah