WEBVTT - Is Energy Actually Conserved?

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<v Speaker 1>Hey, Daniel, I noticed something about physicists. I'm afraid to

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<v Speaker 1>hear this. I feel like all of you like to

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<v Speaker 1>blow things up. We do. Actually, that's what makes us

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<v Speaker 1>so much fun at parties. I guess. I mean you'd

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<v Speaker 1>like to blow up ideas. You know, you like to

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<v Speaker 1>think things that people think are true and then prove

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<v Speaker 1>that they're actually false. That's true. Actually you mean like

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<v Speaker 1>the Earth being the center of the universe. Yeah, I

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<v Speaker 1>like that. I like that idea, but it turns out

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<v Speaker 1>it's false. Or you know that people thought that the

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<v Speaker 1>world was nice and smooth, but actually it's quantized into

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<v Speaker 1>little pixels called quantum physics. Al Right, So what do

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<v Speaker 1>you think that means about physicists. I think it probably

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<v Speaker 1>means that you like to disagree with the stabich ideas.

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<v Speaker 1>You're basically just contrarians. No, we're not. See do you

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<v Speaker 1>know fun at parties? Hi am or handmade cartoonists and

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<v Speaker 1>the creator of PhD Comics. Hi. I'm Daniel. I'm a

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<v Speaker 1>particle physicist, and I'm very positive about new ideas. Welcome

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<v Speaker 1>to our podcast Daniel and Jorge Explain the Universe, a

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<v Speaker 1>production of Our Heart Radio in which we consider all

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<v Speaker 1>the crazy new ideas out there and all the old ideas.

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<v Speaker 1>Which ones are real, which ones are made up, which

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<v Speaker 1>ones are we still clueless about. We take you on

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<v Speaker 1>a tour of all of them and explain them to you. Yeah,

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<v Speaker 1>we like to explore the universe and talk about all

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<v Speaker 1>of the things that are out there and this beautiful

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<v Speaker 1>cosmos of ours, all the things that are true, and

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<v Speaker 1>all the things that might be true. And part of

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<v Speaker 1>the journey of physics and science in general is understanding

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<v Speaker 1>the universe and questioning the things we thought were true,

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<v Speaker 1>getting a deeper, more fundamental view of the way things

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<v Speaker 1>actually work, which sometimes is really in contrast with the

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<v Speaker 1>way we thought things work. Because there are a lot

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<v Speaker 1>of ideas out there, right, Daniel. I mean they're ideas

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<v Speaker 1>about how the world works, about why things are the

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<v Speaker 1>way they are, and how people think that it all

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<v Speaker 1>comes together. Yeah, And sometimes the first idea you have

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<v Speaker 1>seems reasonable and sticks around for a long time, and

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<v Speaker 1>then you notice small little problems with it, and when

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<v Speaker 1>you pull on that thread, you reveal something really fascinating

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<v Speaker 1>about the whole universe. Like people used to think, hey, there,

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<v Speaker 1>Earth is flat. It certainly looks flat from here. But

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<v Speaker 1>then it's sort of a mind exploding discovery to realize, Wow,

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<v Speaker 1>we're actually living on the surface of a huge sphere. Yeah.

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<v Speaker 1>So there are a lot of ideas out there, and

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<v Speaker 1>I feel like you physicists like to reserve the right

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<v Speaker 1>to change your mind. That's an important part of science, right,

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<v Speaker 1>challenging the orthodoxy. It's one of the best things about

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<v Speaker 1>science that sometimes we look at the very foundations of

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<v Speaker 1>the ideas and we say, wait a second, is that

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<v Speaker 1>really true? How do we actually know that? We've been

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<v Speaker 1>thinking that for a long time, but is it possible

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<v Speaker 1>that we were wrong. I think it's one of the

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<v Speaker 1>deepest virtues of science. Yeah. And if like that's maybe

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<v Speaker 1>your favorite part of science is proving your appears wrong

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<v Speaker 1>on a personal level, yes, And for me it's actually

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<v Speaker 1>the reason I got into science, because I'm really excited

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<v Speaker 1>about those moments of intellectual revolution. I feel like, when

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<v Speaker 1>you discover that the world is really different from the

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<v Speaker 1>way we thought it was, we've pulled the wolf from

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<v Speaker 1>our eyes. We've like peeled back a layer of reality.

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<v Speaker 1>We've discovered some truth that was hidden to us. And

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<v Speaker 1>what's more exciting in science than to have a moment

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<v Speaker 1>of discovery like that a deep revelation, you know, not

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<v Speaker 1>like slowly iterately building up increments of knowledge until you

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<v Speaker 1>get there, like almost like a moment of revelation where

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<v Speaker 1>you understand the universe differently somehow and you can never

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<v Speaker 1>go back to seeing it the old way. Some people

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<v Speaker 1>go for the Eureka moment. You like to go for

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<v Speaker 1>the moment. That's what I'm in for. I'm in it

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<v Speaker 1>for the scientific revolutions, for the Hans. You're in for

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<v Speaker 1>the Hans I am. And there have been lots of

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<v Speaker 1>moments in history where people have made to discoveries like this.

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<v Speaker 1>They've pulled on one little string and then they've unraveled

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<v Speaker 1>that very foundations of science, and so it's exciting to

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<v Speaker 1>think that there might be more of those ahead of us.

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<v Speaker 1>So it's exciting when a bunch of smart people's go,

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<v Speaker 1>never mind, I thought there was flat, but actually it's

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<v Speaker 1>a giant ball. Yeah, because it changes sometimes your whole

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<v Speaker 1>relationship with the universe, you know, thinking that we live

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<v Speaker 1>at the center of the universe everything revolves around us,

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<v Speaker 1>to thinking we're just a tiny little speck of dust

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<v Speaker 1>in an insignificant corner of the universe that really changes

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<v Speaker 1>the way you feel about the universe and life itself

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<v Speaker 1>and how you should live it. So, hey, this stuff

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<v Speaker 1>is actually irrelevant for how people feel about themselves and

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<v Speaker 1>their lives. Yeah. So science is all about challenging ideas,

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<v Speaker 1>and so today on the program will be challenging a

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<v Speaker 1>very core and fundamental idea and physics. I feel like

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<v Speaker 1>this is a very important idea that a lot of

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<v Speaker 1>people have kind of internalized about the universe, but that

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<v Speaker 1>actually might not be so true. That's right. This is

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<v Speaker 1>something pretty basic that if you ask folks on the street,

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<v Speaker 1>it would be pretty confident was true. But it turns

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<v Speaker 1>out we've learned a lot about the nature of the

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<v Speaker 1>universe and it might actually not be quite so fundamental.

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<v Speaker 1>So on the program will be asking the question is

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<v Speaker 1>energy actually conserved? Now, Daniel, this sort of blew my mind.

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<v Speaker 1>How can we even ask this question? What do you mean?

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<v Speaker 1>Is energy always actually conserved? Yeah? That's why it's such

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<v Speaker 1>a wonderful question because it makes you think, like, well,

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<v Speaker 1>why would it be conserved? How do we actually know

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<v Speaker 1>it's conserved? What would it be like to live in

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<v Speaker 1>a universe where it's not conserved? That solve all of

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<v Speaker 1>our energy problems. I feel like you just told me

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<v Speaker 1>the world is not actually a ball. It's like a

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<v Speaker 1>cube or something. We live on a donut and it's

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<v Speaker 1>filled with energy. It's filled with sugar, energy and sprinkles.

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<v Speaker 1>That's right. Just eat the glaze, man, eat the glaze.

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<v Speaker 1>Then then my energy will not be conserved, just an

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<v Speaker 1>increase or be turned into mass. Probably. I know. It's

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<v Speaker 1>a bit mind blowing, and that's why I was especially

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<v Speaker 1>eager to hear what folks on the internet had to

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<v Speaker 1>say about this question. Yes, so it's usual Daniel went

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<v Speaker 1>out there into the wilds of the web and ask

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<v Speaker 1>people the question is energy always conserved? So thank you

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<v Speaker 1>to these folks in advance who participated. And if you

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<v Speaker 1>would like to answer tough physics questions with no preparation

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<v Speaker 1>and have your answers broadcast thousands of people, please write

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<v Speaker 1>to us two questions at Daniel and Jorge dot com.

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<v Speaker 1>Think about it for a second. If someone ask you

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<v Speaker 1>if energy is actually always conserved, what would you answer.

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<v Speaker 1>Here's what people had to say. I always thought that

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<v Speaker 1>was one of the fundamental laws, that energy and matter

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<v Speaker 1>can't be created or destroyed, But the fact that you're

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<v Speaker 1>asking me this question makes me think I'm wrong. Yes,

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<v Speaker 1>I don't know about the energy that goes in into

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<v Speaker 1>a black hole, but it's somewhere there. Yes, is one

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<v Speaker 1>of the fundamental principles of the universe that energy is conserved.

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<v Speaker 1>I know that it gets a little dicey when you're

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<v Speaker 1>talking about black holes. Yes, it is, but I don't

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<v Speaker 1>know if there's any special cases where it's not. Yes,

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<v Speaker 1>energy always is conserved in some form, right, I think

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<v Speaker 1>ultimately everything becomes heat. But if energy does not get conserved,

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<v Speaker 1>where does it go? All right, not a lot of

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<v Speaker 1>doubters here. Everyone just said yes, no confusion. I feel

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<v Speaker 1>like nobody was confused about this. No, nobody was confused.

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<v Speaker 1>I love the person who said the fact you're asking

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<v Speaker 1>me this question makes me think I'm wrong, which is wonderful. Man,

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<v Speaker 1>you totally make that person. You need a doubt because

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<v Speaker 1>that's the process of science. We're like, we're sure that's true.

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<v Speaker 1>Hold on a second, how are we sure? All of

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<v Speaker 1>a sudden, I'm wondering, And then you've got to explore

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<v Speaker 1>your own intellectual framework and wonder like, do you really

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<v Speaker 1>know this or is it just something you've been assuming yeah.

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<v Speaker 1>Especially I guess if a physicist approaches you on the

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<v Speaker 1>street with my acrophone and says, do you think energy

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<v Speaker 1>is always conserved? I feel like, you know that automatically

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<v Speaker 1>makes you a little suspicious. Yeah. Actually, default answer to

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<v Speaker 1>a random physicist asking you a question should be no,

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<v Speaker 1>it should be I don't know, what do you think?

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<v Speaker 1>And then you flipped do you want to participate in

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<v Speaker 1>my experiment? Uh? No? Do you want to know the

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<v Speaker 1>deep secrets of the universe? Not? Really? So this is

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<v Speaker 1>I feel like this is a pretty mind blown question,

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<v Speaker 1>just the idea of asking this question. I feel like

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<v Speaker 1>the idea that energy is always conserved seems very basic

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<v Speaker 1>to physics, and it seems pretty internalized by most of

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<v Speaker 1>the public. Like I feel like, you know, it's like

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<v Speaker 1>asking which way does gravity point? Or you know, it's

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<v Speaker 1>space big people say yes. But there's a bit of

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<v Speaker 1>a history here, right. It used to be that we

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<v Speaker 1>thought energy was conserved and that mass was conserved. We

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<v Speaker 1>would watch chemical reactions and we would notice that it

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<v Speaker 1>was mostly a rearrangement of the atoms, like puzzle pieces

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<v Speaker 1>moving from one place to another, and that no actual

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<v Speaker 1>matter was destroyed or created, and so we had two principles,

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<v Speaker 1>conservation of energy and conservation of mass. But then we

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<v Speaker 1>learned conservation of mass not actually a thing, right, You

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<v Speaker 1>can turn mass into other kinds of energy, and energy

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<v Speaker 1>into mass. So then we generalized into a larger principle,

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<v Speaker 1>conservation of energy, which includes mass as one of its forms.

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<v Speaker 1>But that's a hint, right, that's a hint. That's something

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<v Speaker 1>which seems fundamental, like the existence of matter doesn't necessarily

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<v Speaker 1>have to be concerned. Now, this isn't just a sort

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<v Speaker 1>of like a semantic thing, right, Like we're not saying

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<v Speaker 1>that energy just transforms into mass and so it's not concerned.

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<v Speaker 1>We're asking kind of the bigger question, like is mass

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<v Speaker 1>and energy conserved? That's right now, we're asking the deep

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<v Speaker 1>fundamental question. Is total energy concerned? When you include all forms,

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<v Speaker 1>not just does it slip away into some other kind

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<v Speaker 1>of energy, but energy itself summed up over everything, is

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<v Speaker 1>it actually conserved? Yeah? And it turns out that the

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<v Speaker 1>answer is no. How can it be? No, Daniel, The

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<v Speaker 1>answer is no. He's just during my world, I feel

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<v Speaker 1>like democracy died last night. And now physics, well, that's

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<v Speaker 1>what we're here for. We are here to blow people's

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<v Speaker 1>minds and pull back the veil and help them understand

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<v Speaker 1>the way the world actually works. And so this is

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<v Speaker 1>kind of mind boggling. But the lesson we're gonna learn

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<v Speaker 1>is what's actually important about the universe, what's really fundamental?

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<v Speaker 1>What do we actually know? What really should we be

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<v Speaker 1>paying attention to? All Right, so I guess the short

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<v Speaker 1>answer is no. Energy is not always conserved. That's right,

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<v Speaker 1>And that's even in a closed system. Right, we talked

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<v Speaker 1>about energy conservation. We're usually referring to a closed system

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<v Speaker 1>because you know, if you have a single thing inside

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<v Speaker 1>a larger system, sure it doesn't have to conserve energy,

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<v Speaker 1>Like a battery inside your toy is losing energy, but

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<v Speaker 1>you know that energy is going to other parts of

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<v Speaker 1>the system. But we're talking about a closed system, or

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<v Speaker 1>energy doesn't escape or doesn't enter, we're talking about the

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<v Speaker 1>whole universe. Is energy conserved for the whole universe? And

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<v Speaker 1>even for that, the answer, it turns out is no, Man, Daniel,

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<v Speaker 1>not even for a closed system. I feel like one

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<v Speaker 1>of those celebrities. I'm ready to throw down my microphone

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<v Speaker 1>and walk away. Don't mic drop just yet. There are

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<v Speaker 1>bigger revelations to come, I see their twists. All right,

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<v Speaker 1>we'll step us through first, why do we think that

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<v Speaker 1>energy was conserved? And then maybe we'll get into why

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<v Speaker 1>it wasn't it's not conserved. Yeah, that's a great question.

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<v Speaker 1>And essentially we thought that energy was conserved because mostly

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<v Speaker 1>it is, and so we never noticed we never saw

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<v Speaker 1>a counter example. And a lot of physics works this way.

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<v Speaker 1>We see things happening in the world and we see

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<v Speaker 1>them seeming to follow a rule, and so we just

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<v Speaker 1>sort of like we positive, well, maybe this rule is true.

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<v Speaker 1>Maybe this is fundamental. You know, electric charge is conserved,

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<v Speaker 1>or you know F equals m A. We don't always

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<v Speaker 1>have a reason for it. We don't always have like

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<v Speaker 1>a first principles derivation for it, which is something we observe,

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<v Speaker 1>we categorize, and then we elevate it to a status

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<v Speaker 1>and if nobody ever sees it broken, we think, well

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<v Speaker 1>that must be true. For some reason. We elevated to

0:12:03.240 --> 0:12:05.199
<v Speaker 1>that like a law status. We think it's a law

0:12:05.240 --> 0:12:07.960
<v Speaker 1>of the universe. Yeah, And this is the way science works,

0:12:08.040 --> 0:12:10.000
<v Speaker 1>is that we come up with a rule, we test it,

0:12:10.040 --> 0:12:12.880
<v Speaker 1>we check it, we explore it and lots of different ways,

0:12:12.920 --> 0:12:16.160
<v Speaker 1>and if it survives experimental tests over and over and

0:12:16.200 --> 0:12:18.240
<v Speaker 1>over again. We think, oh, it's probably true, and then

0:12:18.280 --> 0:12:21.880
<v Speaker 1>we can sometimes dig deeper and figure out the reason why.

0:12:22.080 --> 0:12:26.760
<v Speaker 1>We can sometimes later derive that law from deeper truths.

0:12:26.800 --> 0:12:29.480
<v Speaker 1>But sometimes we can reveal that it was only ever

0:12:29.559 --> 0:12:34.679
<v Speaker 1>approximately true. We haven't checked every possible scenario. That's impossible, right,

0:12:35.000 --> 0:12:37.559
<v Speaker 1>and so people will find a place where, look, it

0:12:37.640 --> 0:12:40.640
<v Speaker 1>turns out it's broken over here, it doesn't quite work

0:12:40.679 --> 0:12:43.760
<v Speaker 1>over there. It was the same story with conservation of mass.

0:12:43.840 --> 0:12:47.040
<v Speaker 1>If you're just doing basic chemistry, mass is mostly conserved.

0:12:47.320 --> 0:12:49.319
<v Speaker 1>It's only when you get to like higher energies where

0:12:49.360 --> 0:12:53.640
<v Speaker 1>you're destroying particles or colliding particles that you notice that

0:12:53.720 --> 0:12:57.120
<v Speaker 1>it's broken. So a lot of these conservation rules are

0:12:57.240 --> 0:13:01.319
<v Speaker 1>not exact. They're not like really true. They're almost true,

0:13:01.400 --> 0:13:04.080
<v Speaker 1>or they're true and lots of circumstances and so we

0:13:04.160 --> 0:13:06.559
<v Speaker 1>never notice. It's kind of like F equals m A.

0:13:06.679 --> 0:13:10.360
<v Speaker 1>I feel like that feels really fundamental and intuitive because

0:13:10.360 --> 0:13:13.959
<v Speaker 1>that's what dominates our everyday experience. But like if you

0:13:14.040 --> 0:13:17.520
<v Speaker 1>push the physics of it to extreme situations, it doesn't work.

0:13:17.559 --> 0:13:20.200
<v Speaker 1>It breaks, yeah, exactly. And the same is true for

0:13:20.280 --> 0:13:23.319
<v Speaker 1>things about like time. You know, we've learned that not

0:13:23.440 --> 0:13:26.240
<v Speaker 1>everybody has to agree on the order of events. We

0:13:26.240 --> 0:13:28.480
<v Speaker 1>had a whole podcast about what happens when people are

0:13:28.559 --> 0:13:30.960
<v Speaker 1>running a race and you look at it from different speeds,

0:13:31.360 --> 0:13:32.880
<v Speaker 1>and these are the kind of things you don't notice

0:13:32.880 --> 0:13:35.680
<v Speaker 1>in your everyday life. You don't approach the speed of light.

0:13:36.000 --> 0:13:38.320
<v Speaker 1>And so we never tested things in those sort of

0:13:38.400 --> 0:13:41.880
<v Speaker 1>high speed extremes until recently, and we noticed, whoops. Those

0:13:42.040 --> 0:13:44.640
<v Speaker 1>rules we thought were deep and fundamental and true turned

0:13:44.640 --> 0:13:46.880
<v Speaker 1>out to be a special case that are only valided

0:13:46.960 --> 0:13:51.240
<v Speaker 1>certain situations, not fundamental truths about the universe. And physics

0:13:51.280 --> 0:13:54.760
<v Speaker 1>is all about uncovering the fundamental truths about the universe,

0:13:55.200 --> 0:13:58.200
<v Speaker 1>not just the special cases. And so that's why we

0:13:58.240 --> 0:14:01.360
<v Speaker 1>thought energy was conserved because we've always seen it conserved

0:14:01.400 --> 0:14:04.680
<v Speaker 1>and sort of made sense. Yeah, it's conserved in most

0:14:04.720 --> 0:14:07.280
<v Speaker 1>situations that we're familiar with, right, Like, if you have

0:14:07.320 --> 0:14:10.400
<v Speaker 1>a canister of gas or something, the energy in it

0:14:10.440 --> 0:14:14.480
<v Speaker 1>is going to be mostly conserved, mostly conserved, are totally conserved,

0:14:14.480 --> 0:14:17.679
<v Speaker 1>the energy is going to be almost exactly conserved. And

0:14:17.800 --> 0:14:20.720
<v Speaker 1>thinking about when it's conserved and noticing when those rules

0:14:20.720 --> 0:14:23.440
<v Speaker 1>are broken, it's going to teach us really something fundamental

0:14:23.480 --> 0:14:27.000
<v Speaker 1>about the nature of space and symmetries and conservation laws

0:14:27.040 --> 0:14:31.600
<v Speaker 1>in general. But fuel, for example, is mostly conserved. All right,

0:14:31.680 --> 0:14:35.560
<v Speaker 1>let's get into some examples of when energy is not conserved,

0:14:35.720 --> 0:14:39.280
<v Speaker 1>and let's get into why it's not being the good

0:14:39.280 --> 0:14:42.280
<v Speaker 1>conservative we thought it was. But first let's take a

0:14:42.360 --> 0:14:57.600
<v Speaker 1>quick break. All right, Daniel, we are blowing up people's

0:14:57.640 --> 0:15:01.720
<v Speaker 1>brains here. Apparently energy is not concerned in this universe.

0:15:01.960 --> 0:15:04.160
<v Speaker 1>That's right. It's not always the same, that's right. It's

0:15:04.200 --> 0:15:06.640
<v Speaker 1>not always the same. The amount of energy in the

0:15:06.720 --> 0:15:09.680
<v Speaker 1>universe can change. And this is the kind of thing

0:15:09.720 --> 0:15:12.600
<v Speaker 1>I get email questions from listeners about all the time,

0:15:12.680 --> 0:15:14.880
<v Speaker 1>because people who have been thinking to themselves about dark

0:15:15.000 --> 0:15:17.600
<v Speaker 1>energy have come in their minds to what seems like

0:15:17.640 --> 0:15:22.160
<v Speaker 1>a contradiction. Remember, dark energy is the expansion of the universe.

0:15:22.200 --> 0:15:25.080
<v Speaker 1>It's not something we understand. It's not a law physics.

0:15:25.120 --> 0:15:27.840
<v Speaker 1>It's just sort of the observation that the expansion of

0:15:27.880 --> 0:15:31.560
<v Speaker 1>the universe is continuing and that it's speeding up, and

0:15:31.600 --> 0:15:33.880
<v Speaker 1>we don't understand the mechanism of it. But there is

0:15:33.920 --> 0:15:36.720
<v Speaker 1>something about dark energy that we do know, which is

0:15:36.760 --> 0:15:40.360
<v Speaker 1>that it's constant in space. So it makes more space,

0:15:40.440 --> 0:15:43.760
<v Speaker 1>and then that space has new dark energy. So every

0:15:43.840 --> 0:15:47.280
<v Speaker 1>cubic meter of space, for example, has its own dark energy.

0:15:47.440 --> 0:15:50.160
<v Speaker 1>And as the universe expands, you get more universe, you

0:15:50.240 --> 0:15:53.080
<v Speaker 1>get more dark energy. So these listeners right in and

0:15:53.120 --> 0:15:55.720
<v Speaker 1>they say, hold on a second, where does that energy

0:15:55.880 --> 0:15:59.960
<v Speaker 1>come from? Does that mean that dark energy doesn't concern

0:16:00.040 --> 0:16:02.560
<v Speaker 1>of energy? Right? Yeah, it's it's kind of very puzzling,

0:16:02.640 --> 0:16:04.960
<v Speaker 1>right because you're telling me that the universe is expanding

0:16:05.080 --> 0:16:08.440
<v Speaker 1>with more energy and acceleration, so it has to you know,

0:16:08.560 --> 0:16:12.040
<v Speaker 1>be drawing energy from somewhere, but it's sort of coming

0:16:12.040 --> 0:16:14.880
<v Speaker 1>out of nothingness, this dark energy. And so the answer

0:16:14.960 --> 0:16:17.560
<v Speaker 1>to those listeners is that no, it doesn't have to

0:16:17.640 --> 0:16:21.880
<v Speaker 1>come from somewhere. It violates the conservation of energy. As

0:16:21.920 --> 0:16:24.960
<v Speaker 1>the universe expands, you get more space, and that space

0:16:25.040 --> 0:16:29.040
<v Speaker 1>has new energy, and the energy in the universe increases.

0:16:29.480 --> 0:16:33.960
<v Speaker 1>So as spacetime expands, the energy can go up. And

0:16:34.120 --> 0:16:36.560
<v Speaker 1>where does that energy come from? It doesn't have to

0:16:36.680 --> 0:16:39.960
<v Speaker 1>come from anywhere, because energy conservation is not actually a

0:16:40.000 --> 0:16:43.680
<v Speaker 1>fundamental law of the universe. It's just something we never

0:16:43.720 --> 0:16:47.920
<v Speaker 1>saw broken before. I feel like that throws everything to question. Now, Daniel,

0:16:47.960 --> 0:16:51.720
<v Speaker 1>what do you mean, yes, right, Welcome to physics, questioning everything,

0:16:52.440 --> 0:16:54.320
<v Speaker 1>even even the idea of asking questions. Why are you

0:16:54.320 --> 0:16:59.240
<v Speaker 1>asking questions, Daniel, don't ask questions about that. That's a

0:16:59.360 --> 0:17:02.680
<v Speaker 1>zone of a wild So is that the primary example

0:17:02.720 --> 0:17:05.840
<v Speaker 1>of energy not being conserved is in space and in

0:17:05.880 --> 0:17:08.760
<v Speaker 1>this idea of the universe expanding or is it more

0:17:09.600 --> 0:17:13.720
<v Speaker 1>you know, kind of seeped into our everyday physics. It's

0:17:13.760 --> 0:17:16.920
<v Speaker 1>not really steeped into our everyday physics. And the cases

0:17:16.960 --> 0:17:19.640
<v Speaker 1>where energy is not conserved are really going to give

0:17:19.680 --> 0:17:22.520
<v Speaker 1>us a clue as to why it's not conserved. And

0:17:22.600 --> 0:17:25.439
<v Speaker 1>I can give you another example, which is also related

0:17:25.480 --> 0:17:29.680
<v Speaker 1>to the expansion of space. As space expands, it turns

0:17:29.680 --> 0:17:32.560
<v Speaker 1>out there's a way to lose energy. For example, a

0:17:32.560 --> 0:17:35.560
<v Speaker 1>photon photon is flying through space, and we know that

0:17:35.600 --> 0:17:38.199
<v Speaker 1>if a photon comes to you from far away, but

0:17:38.280 --> 0:17:41.080
<v Speaker 1>that the space between you and the source expands in

0:17:41.119 --> 0:17:45.760
<v Speaker 1>the meantime, that photon red shifts are red shifts associated

0:17:45.800 --> 0:17:48.840
<v Speaker 1>with that source having a velocity. Like a police siren

0:17:48.880 --> 0:17:52.440
<v Speaker 1>that's moving away from you, the wavelength of the sound

0:17:52.520 --> 0:17:55.080
<v Speaker 1>is stretched, and the same is true for light from

0:17:55.200 --> 0:17:57.959
<v Speaker 1>stars that are moving away from us. But there's another

0:17:58.080 --> 0:18:00.359
<v Speaker 1>kind of red shift, which is just the expand engine

0:18:00.440 --> 0:18:03.120
<v Speaker 1>of space between you and that light source. It will

0:18:03.200 --> 0:18:06.560
<v Speaker 1>also stretch the photon and make it redder. Won't slow

0:18:06.560 --> 0:18:09.879
<v Speaker 1>it down, it'll just shift its frequency. That will stretch it.

0:18:09.960 --> 0:18:12.639
<v Speaker 1>That's right. Photons always move with the same speed, the

0:18:12.640 --> 0:18:15.000
<v Speaker 1>speed of light, but they have different levels of energy

0:18:15.320 --> 0:18:18.240
<v Speaker 1>which correspond to their wavelength, which is equivalent to their

0:18:18.280 --> 0:18:20.959
<v Speaker 1>color or their frequency. It's all the same thing. And

0:18:21.040 --> 0:18:24.679
<v Speaker 1>so when you make a photon redder, effectively you're taking

0:18:24.680 --> 0:18:27.800
<v Speaker 1>away its energy. It's losing energy. So in that case,

0:18:27.920 --> 0:18:33.119
<v Speaker 1>the expansion of space disappears energy from a photon. What

0:18:33.720 --> 0:18:35.880
<v Speaker 1>could it all be the same energy, Daniel? Could dark

0:18:35.960 --> 0:18:40.080
<v Speaker 1>energy be the energy of photons getting redder. That wouldn't

0:18:40.080 --> 0:18:41.760
<v Speaker 1>add up to like a factor of tend to one.

0:18:42.400 --> 0:18:45.560
<v Speaker 1>There's so much more dark energy than the energy that's

0:18:45.600 --> 0:18:48.959
<v Speaker 1>being lost by photons being red shifted. But we see this.

0:18:49.000 --> 0:18:50.639
<v Speaker 1>It's a real thing. It's just kind of like a

0:18:50.720 --> 0:18:55.359
<v Speaker 1>dark red energy. I like that phrase, dark red energy.

0:18:55.400 --> 0:18:57.399
<v Speaker 1>That should be a thing. There should be a physics.

0:18:57.440 --> 0:19:00.600
<v Speaker 1>Should be the title your other sci fi novel, dark

0:19:00.720 --> 0:19:03.560
<v Speaker 1>red energy. All right, I'll do it just starting from

0:19:03.560 --> 0:19:05.280
<v Speaker 1>the title. I can just write the novel from there.

0:19:05.840 --> 0:19:09.280
<v Speaker 1>But yeah, So here are two examples, space expanding meaning

0:19:09.520 --> 0:19:14.240
<v Speaker 1>extra energy is created, or space expanding meaning energy is

0:19:14.280 --> 0:19:17.280
<v Speaker 1>lost by photons. And the thing that those two examples

0:19:17.280 --> 0:19:20.680
<v Speaker 1>have in common, of course, is that space is not static.

0:19:20.720 --> 0:19:24.280
<v Speaker 1>In those cases, space is expanding its dynamic and that's

0:19:24.320 --> 0:19:26.720
<v Speaker 1>the clue. I see. Yeah, that's kind of um, it's

0:19:26.760 --> 0:19:29.720
<v Speaker 1>like breaking a law by breaking another law, kind of

0:19:29.960 --> 0:19:32.359
<v Speaker 1>because I feel like, you know, we thought space didn't

0:19:32.440 --> 0:19:35.399
<v Speaker 1>expand we thought space was fixed before, but then we

0:19:35.480 --> 0:19:38.720
<v Speaker 1>learned that space is like malleble and bends and stretches. Yeah,

0:19:38.800 --> 0:19:42.600
<v Speaker 1>and just like thinking that Galilean transformations Newtonian physics always

0:19:42.600 --> 0:19:44.920
<v Speaker 1>worked because we had always seen it work because we'd

0:19:44.920 --> 0:19:48.000
<v Speaker 1>only ever checked low speeds and then discovering that they

0:19:48.040 --> 0:19:50.360
<v Speaker 1>break when you get too high speeds. This is an

0:19:50.359 --> 0:19:53.880
<v Speaker 1>example of something we never thought was possible, expanding space,

0:19:54.400 --> 0:19:57.800
<v Speaker 1>and when it happens, it challenges some pretty basic stuff

0:19:57.840 --> 0:20:00.560
<v Speaker 1>that we thought was true, but turns out only have

0:20:00.680 --> 0:20:04.000
<v Speaker 1>been true in the special scenario we ever tested it in,

0:20:04.320 --> 0:20:07.439
<v Speaker 1>which is fundamentally static space. Right, Well, then step us

0:20:07.480 --> 0:20:12.439
<v Speaker 1>three here, Daniel, why is an energy conserved when space expands? Well,

0:20:12.480 --> 0:20:13.919
<v Speaker 1>I think the best way to tackle that is to

0:20:13.920 --> 0:20:17.040
<v Speaker 1>think about, like, well, why should we expect it to

0:20:17.080 --> 0:20:19.600
<v Speaker 1>be conserved? Did we have a reason to think it

0:20:19.600 --> 0:20:23.399
<v Speaker 1>should be conserved. Is there some fundamental theoretical idea that

0:20:23.440 --> 0:20:25.639
<v Speaker 1>tells us it should be conserved, or is it just

0:20:25.720 --> 0:20:28.960
<v Speaker 1>something we observed and thought was true. And for that,

0:20:29.040 --> 0:20:30.679
<v Speaker 1>I think it's good to think about, like, what do

0:20:30.720 --> 0:20:34.280
<v Speaker 1>we mean exactly about conserved? Right to be kind of

0:20:34.280 --> 0:20:37.600
<v Speaker 1>specific about it, And by that we mean like, here's

0:20:37.640 --> 0:20:40.520
<v Speaker 1>something we calculate, Like you can measure the amount of

0:20:40.600 --> 0:20:42.879
<v Speaker 1>energy and something and then you can let it do

0:20:42.960 --> 0:20:45.080
<v Speaker 1>its thing. You know, maybe you turn on the engine

0:20:45.080 --> 0:20:47.800
<v Speaker 1>of your car or whatever, and then you calculate it again,

0:20:48.080 --> 0:20:50.199
<v Speaker 1>and you notice you get the same answer. So as

0:20:50.200 --> 0:20:53.080
<v Speaker 1>you said before, like you burn the fuel in your car,

0:20:53.400 --> 0:20:55.800
<v Speaker 1>but now you've added speed to your car, so energy

0:20:55.880 --> 0:20:58.159
<v Speaker 1>is moved from one part of the system to another.

0:20:58.520 --> 0:21:00.840
<v Speaker 1>And we've noticed so far that if you add up

0:21:00.840 --> 0:21:03.000
<v Speaker 1>all the energy before and you add of the energy after,

0:21:03.280 --> 0:21:06.359
<v Speaker 1>you get the same thing. And so we call that conserved,

0:21:06.480 --> 0:21:09.080
<v Speaker 1>right that there's a symmetry there that says it hasn't

0:21:09.160 --> 0:21:11.920
<v Speaker 1>changed the accounty. You can account for every cent of

0:21:11.960 --> 0:21:14.760
<v Speaker 1>that energy. That's right, And so people have long wondered, like,

0:21:15.040 --> 0:21:18.040
<v Speaker 1>why are things conserved at all? What does it mean

0:21:18.119 --> 0:21:20.359
<v Speaker 1>about the universe? Because it's the kind of thing that

0:21:20.400 --> 0:21:23.680
<v Speaker 1>makes a physicist scratch his or her head. It's like, well,

0:21:23.720 --> 0:21:25.920
<v Speaker 1>if this thing is concerned, does that mean that it's

0:21:25.960 --> 0:21:28.640
<v Speaker 1>a deep truth in the universe, that it's an important quantity.

0:21:28.680 --> 0:21:32.000
<v Speaker 1>It's like a clue about how the universe works. If

0:21:32.040 --> 0:21:34.960
<v Speaker 1>this thing doesn't change, right, it's like a constraint or

0:21:35.000 --> 0:21:37.479
<v Speaker 1>a law. And if you're on the hunt for figuring

0:21:37.480 --> 0:21:39.800
<v Speaker 1>out the fundamental rules of the universe, that seems like

0:21:39.840 --> 0:21:42.400
<v Speaker 1>an important clue, right, Yeah, well, I guess maybe it's

0:21:42.520 --> 0:21:46.040
<v Speaker 1>it's it feels fundamental because it's kind of it feels

0:21:46.280 --> 0:21:48.480
<v Speaker 1>logical for it to be conserved. I know we're trying

0:21:48.480 --> 0:21:50.520
<v Speaker 1>to question it here, but it's like, you know, if

0:21:50.520 --> 0:21:52.560
<v Speaker 1>you have some money, it has to go somewhere. Can't

0:21:52.600 --> 0:21:55.560
<v Speaker 1>just like disappear, and it can't just pop out of

0:21:55.560 --> 0:21:57.959
<v Speaker 1>the nothingness. I think that's just your intuition. You're just

0:21:58.080 --> 0:22:00.639
<v Speaker 1>used to having a conserved and actually money is a

0:22:00.640 --> 0:22:04.080
<v Speaker 1>great example because money is also not conserved. You know,

0:22:04.200 --> 0:22:07.399
<v Speaker 1>if I take a painting by Picasso and I just

0:22:07.440 --> 0:22:10.000
<v Speaker 1>set it on fire. Where does the value of that

0:22:10.040 --> 0:22:13.480
<v Speaker 1>painting go nowhere? Or if I am Picasso, when I

0:22:13.560 --> 0:22:16.720
<v Speaker 1>make a new painting, right I've created a hundred million dollars,

0:22:17.000 --> 0:22:20.000
<v Speaker 1>Where does that come from? Right? I wasn't worth a

0:22:20.080 --> 0:22:22.800
<v Speaker 1>hundred million dollars. It didn't seep out of me. Or

0:22:22.960 --> 0:22:26.399
<v Speaker 1>one day people decide that some kind of rock is

0:22:26.440 --> 0:22:28.520
<v Speaker 1>now the most valuable thing in the world, and we

0:22:28.560 --> 0:22:31.280
<v Speaker 1>will all pay five d dollars an ounce for this

0:22:31.400 --> 0:22:35.399
<v Speaker 1>kind of rock. Then we've created value. So money is

0:22:35.400 --> 0:22:37.560
<v Speaker 1>not conserved at all. It's a great example, right, But

0:22:37.680 --> 0:22:39.159
<v Speaker 1>I feel like money is kind of it's like a

0:22:39.200 --> 0:22:45.399
<v Speaker 1>psychological concept, money and value. But we're talking about like physics, right, yeah, exactly,

0:22:45.600 --> 0:22:47.399
<v Speaker 1>Like you know, if if I have something here, it

0:22:47.440 --> 0:22:51.080
<v Speaker 1>can't just disappear, or I can't just suddenly appear another

0:22:51.240 --> 0:22:54.320
<v Speaker 1>whore in front of me, although it would be cool

0:22:54.359 --> 0:22:58.959
<v Speaker 1>because then I could go to sleep. Well, there are

0:22:59.000 --> 0:23:02.960
<v Speaker 1>actually really interesting fundamental insights about why some things are

0:23:02.960 --> 0:23:06.439
<v Speaker 1>conserved and some things are not conserved. And this comes

0:23:06.480 --> 0:23:09.199
<v Speaker 1>from a law from a real genius of physics who

0:23:09.240 --> 0:23:12.600
<v Speaker 1>have been long overlooked and only recently been appreciated a

0:23:12.640 --> 0:23:15.560
<v Speaker 1>mathematical physicist from the early part of this century, I

0:23:15.720 --> 0:23:18.880
<v Speaker 1>mean Utah, and she wrote down a really interesting law,

0:23:18.920 --> 0:23:22.520
<v Speaker 1>and she says that there's a conservation. There's something that's conserved,

0:23:22.600 --> 0:23:27.280
<v Speaker 1>like energy or momentum, every time the universe has a symmetry.

0:23:27.359 --> 0:23:30.520
<v Speaker 1>But there's this deep connection between something being conserved and

0:23:30.560 --> 0:23:34.359
<v Speaker 1>the universe having some sort of balance or symmetry to it.

0:23:34.840 --> 0:23:36.600
<v Speaker 1>From a language point of view, that makes sense. If

0:23:36.600 --> 0:23:39.560
<v Speaker 1>there's a symmetry means there's like an equation, which means

0:23:39.600 --> 0:23:42.719
<v Speaker 1>things are balanced and conserved. But I'm guessing you mean

0:23:42.800 --> 0:23:45.880
<v Speaker 1>more like the mathematical idea of symmetry. And there's lots

0:23:45.880 --> 0:23:48.920
<v Speaker 1>of really fascinating examples before we get to energy. And

0:23:48.960 --> 0:23:52.080
<v Speaker 1>one of my favorites is momentum. So why is momentum

0:23:52.080 --> 0:23:54.440
<v Speaker 1>conservad at all? You might ask that, Well, it turns

0:23:54.440 --> 0:23:58.240
<v Speaker 1>out that momentum is conserved because the universe has no

0:23:58.400 --> 0:24:03.160
<v Speaker 1>preferred location called this translation symmetry, Like something that happens

0:24:03.400 --> 0:24:06.600
<v Speaker 1>here in space could equally well happen ten ms to

0:24:06.640 --> 0:24:10.000
<v Speaker 1>the right or a hundred up or whatever. The laws

0:24:10.000 --> 0:24:12.359
<v Speaker 1>of physics don't change based on where you are in

0:24:12.359 --> 0:24:16.000
<v Speaker 1>the universe. That's we call a translation symmetry, and that

0:24:16.080 --> 0:24:20.960
<v Speaker 1>translation symmetry directly implies conservation of momentum. Like if you

0:24:21.000 --> 0:24:24.879
<v Speaker 1>didn't know momentum was conserved, but you knew that, you

0:24:24.960 --> 0:24:27.160
<v Speaker 1>didn't matter where you were in the universe, you could

0:24:27.200 --> 0:24:31.359
<v Speaker 1>derive conservation of momentum mathematically, How would you, I guess,

0:24:31.359 --> 0:24:33.600
<v Speaker 1>derive it? Can you give us like an in twitter sense,

0:24:33.680 --> 0:24:37.280
<v Speaker 1>like you know, the equations can be reduced to like

0:24:37.440 --> 0:24:40.639
<v Speaker 1>you know, momentum and equals momentum out. Yeah, there actually

0:24:40.680 --> 0:24:44.159
<v Speaker 1>is a mathematical procedure. That's what Newtis theorem does. It

0:24:44.240 --> 0:24:48.920
<v Speaker 1>tells you what conservation law comes out of a specific symmetry.

0:24:49.320 --> 0:24:53.040
<v Speaker 1>If the universe is symmetric to changes in some quantity X,

0:24:53.400 --> 0:24:56.879
<v Speaker 1>then you can derive the quantity why that is conserved.

0:24:57.359 --> 0:24:59.679
<v Speaker 1>For those listeners who want a little bit more gory

0:24:59.720 --> 0:25:03.120
<v Speaker 1>Dta hills, you take the quantity that's conserved, and then

0:25:03.160 --> 0:25:06.480
<v Speaker 1>you have to take the derivative of the lagrange in

0:25:06.640 --> 0:25:09.520
<v Speaker 1>of the universe with respect to the derivative of that

0:25:09.560 --> 0:25:11.920
<v Speaker 1>thing that's conserved, and so it gets a little bit

0:25:11.960 --> 0:25:15.520
<v Speaker 1>hairy mathematically, but there is a relationship between the quantity

0:25:15.560 --> 0:25:18.800
<v Speaker 1>that has symmetry. In this case, position in space and

0:25:18.840 --> 0:25:22.040
<v Speaker 1>the thing that's being conserved in this case mass times

0:25:22.200 --> 0:25:25.320
<v Speaker 1>the velocity, which is the derivative of your position in space.

0:25:25.840 --> 0:25:28.240
<v Speaker 1>And so that's the nuts and bolts of the mathematical

0:25:28.320 --> 0:25:31.840
<v Speaker 1>genius of Emily Nuther. But the idea is that there's

0:25:31.840 --> 0:25:34.560
<v Speaker 1>a symmetry here, and I think you can understand it intuitively. Like,

0:25:35.080 --> 0:25:38.439
<v Speaker 1>think about, for example, just a single rock floating in space,

0:25:38.920 --> 0:25:42.120
<v Speaker 1>and that could be anywhere. Right, you push on that rock,

0:25:42.520 --> 0:25:45.400
<v Speaker 1>you've given it momentum. It flies off with a certain momentum.

0:25:45.440 --> 0:25:48.200
<v Speaker 1>It makes sense for momentum to be conserved, your momentum

0:25:48.320 --> 0:25:51.080
<v Speaker 1>flowing to the momentum of the rock. If nothing pushes

0:25:51.200 --> 0:25:54.440
<v Speaker 1>on you, you're going to keep coasting at the same speed. Yeah, exactly.

0:25:54.920 --> 0:25:57.640
<v Speaker 1>And that's true here, or it's true to the left,

0:25:57.680 --> 0:25:59.600
<v Speaker 1>or it's true to the right, or it's true somewhere else.

0:25:59.640 --> 0:26:02.359
<v Speaker 1>As law is, space is the same everywhere, The same

0:26:02.400 --> 0:26:05.159
<v Speaker 1>results come from the same experiment. But what is space

0:26:05.359 --> 0:26:08.080
<v Speaker 1>isn't the same everywhere? What if, like, you're near a

0:26:08.200 --> 0:26:12.040
<v Speaker 1>really massive planet and so space is curved, for example,

0:26:12.240 --> 0:26:14.800
<v Speaker 1>and so it kind of does matter how close you

0:26:14.840 --> 0:26:17.240
<v Speaker 1>are to that planet, because if you get a push

0:26:17.280 --> 0:26:18.840
<v Speaker 1>when you're close to the planet, or you get a

0:26:18.880 --> 0:26:20.920
<v Speaker 1>push when you're far from the planet, you get very

0:26:20.920 --> 0:26:25.720
<v Speaker 1>different outcomes, right, And so in that scenario, the momentum

0:26:25.760 --> 0:26:29.119
<v Speaker 1>of the rock is not conserved because space is not

0:26:29.200 --> 0:26:31.879
<v Speaker 1>the same everywhere. The answer you get depends on where

0:26:31.880 --> 0:26:34.840
<v Speaker 1>you are in space. But in that case, now you're

0:26:34.880 --> 0:26:36.920
<v Speaker 1>sort of expanding your system. Now your system is the

0:26:37.000 --> 0:26:39.719
<v Speaker 1>rock and the planet, and momentum is conserved between them,

0:26:39.760 --> 0:26:43.240
<v Speaker 1>isn't it exactly? If you include the planet in the system,

0:26:43.359 --> 0:26:46.000
<v Speaker 1>then momentum is conserved anywhere because you can move the

0:26:46.080 --> 0:26:49.399
<v Speaker 1>rock plus planet system to anywhere in space. And the

0:26:49.440 --> 0:26:52.199
<v Speaker 1>reason momentum is conserved is that now the whole system

0:26:52.240 --> 0:26:55.320
<v Speaker 1>can be shifted anywhere in space, and it as an ensemble,

0:26:55.440 --> 0:26:58.479
<v Speaker 1>does the same thing. And so the key is that

0:26:58.520 --> 0:27:01.080
<v Speaker 1>your system can be translated anywhere in space, and then

0:27:01.160 --> 0:27:04.280
<v Speaker 1>momentum is conserved if it matters where in space your

0:27:04.320 --> 0:27:06.720
<v Speaker 1>system is. If your system is just the rock, then

0:27:06.800 --> 0:27:09.679
<v Speaker 1>momentum is no longer conserved. All right. It's something to

0:27:09.720 --> 0:27:13.560
<v Speaker 1>do with this idea of symmetry and the equations of

0:27:13.600 --> 0:27:17.679
<v Speaker 1>physics and symmetry. I feel it's a tricky concept because

0:27:18.640 --> 0:27:20.160
<v Speaker 1>you know, I think we're all familiar with the idea

0:27:20.200 --> 0:27:22.560
<v Speaker 1>of symmetry, like if something looks the same in front

0:27:22.560 --> 0:27:24.720
<v Speaker 1>of a mirror, or you know, if I take a

0:27:24.760 --> 0:27:26.840
<v Speaker 1>piece of paper and folded the ink kind of like

0:27:27.080 --> 0:27:29.800
<v Speaker 1>copies from on both sides of the paper, and it

0:27:29.840 --> 0:27:32.640
<v Speaker 1>looks symmetric. But in the equations, it's it's a little

0:27:32.680 --> 0:27:34.919
<v Speaker 1>bit different, right. It sort of means kind of what

0:27:34.960 --> 0:27:36.920
<v Speaker 1>you said in me is, which means it's more about

0:27:36.920 --> 0:27:42.160
<v Speaker 1>conserving or having the laws be the same in different situations. Yeah,

0:27:42.240 --> 0:27:45.240
<v Speaker 1>exactly if you made a change, would you get the

0:27:45.280 --> 0:27:49.440
<v Speaker 1>same outcomes? Right? Do the same laws apply here and there?

0:27:50.080 --> 0:27:52.560
<v Speaker 1>And so for the example of the rock in space,

0:27:52.640 --> 0:27:56.000
<v Speaker 1>you know, the rules of the universe shouldn't depend on

0:27:56.160 --> 0:27:58.840
<v Speaker 1>where you are, right, So then it kind of seems

0:27:58.880 --> 0:28:01.119
<v Speaker 1>to sort of make sense that if you have a symmetry,

0:28:01.600 --> 0:28:05.080
<v Speaker 1>then that thing is conserved, right, Like that sort of

0:28:05.240 --> 0:28:07.840
<v Speaker 1>makes intuitive sense. That's kind of interesting. Yeah, there's a

0:28:07.840 --> 0:28:10.840
<v Speaker 1>connection between the symmetry and the thing that's conserved. In

0:28:10.880 --> 0:28:14.760
<v Speaker 1>this case, space is the symmetry, and momentum motion through

0:28:14.840 --> 0:28:18.720
<v Speaker 1>space is a thing that's conserved, right, So momentum is conserved,

0:28:18.760 --> 0:28:21.520
<v Speaker 1>but then for energy it's different. It has a different symmetry.

0:28:21.600 --> 0:28:24.560
<v Speaker 1>That's right. The idea of the conservation of energy comes

0:28:24.600 --> 0:28:28.359
<v Speaker 1>from symmetry in time. If the universe is the same

0:28:28.440 --> 0:28:32.800
<v Speaker 1>going forwards and backwards, if there's a symmetry in time,

0:28:33.119 --> 0:28:37.399
<v Speaker 1>then you get conservation of energy. And here's a little

0:28:37.400 --> 0:28:40.600
<v Speaker 1>bit trickier to understand the connection between energy and time,

0:28:41.040 --> 0:28:43.880
<v Speaker 1>but it's there, and quantum mechanically, I think it's actually

0:28:43.920 --> 0:28:47.000
<v Speaker 1>the clearest. We have the Shorting Air equation, which is

0:28:47.240 --> 0:28:50.600
<v Speaker 1>what tells us how like a quantum mechanical system changes.

0:28:50.880 --> 0:28:53.800
<v Speaker 1>It says, if you have this quantum wave function, now

0:28:54.160 --> 0:28:56.400
<v Speaker 1>what quantum wave function will you have in the future.

0:28:56.760 --> 0:29:00.000
<v Speaker 1>That's the Shorting Air equation and solutions to the Shorting

0:29:00.080 --> 0:29:03.280
<v Speaker 1>equation are things that work in the universe, but it

0:29:03.320 --> 0:29:06.560
<v Speaker 1>tells us how things move forwards in time. Well, turns

0:29:06.560 --> 0:29:08.840
<v Speaker 1>out the Shorting Your equation is just an expression for

0:29:08.880 --> 0:29:11.240
<v Speaker 1>the energy of the system. Like if you actually look

0:29:11.280 --> 0:29:15.400
<v Speaker 1>at the mathematics of it, it's kinetic energy plus potential energy.

0:29:15.560 --> 0:29:18.200
<v Speaker 1>That's just a total energy of the system. And so

0:29:18.560 --> 0:29:21.320
<v Speaker 1>if the universe is symmetric in time, then energy is

0:29:21.360 --> 0:29:25.280
<v Speaker 1>conserved in your system for served in time. Kind of

0:29:25.320 --> 0:29:27.400
<v Speaker 1>like I feel like you're telling me that there's a

0:29:27.400 --> 0:29:30.680
<v Speaker 1>symmetry in time means that what I have now she's

0:29:30.680 --> 0:29:32.480
<v Speaker 1>gonna be equal to the things that I have later.

0:29:33.400 --> 0:29:35.920
<v Speaker 1>So in a way, that sort of translates into you

0:29:35.920 --> 0:29:38.280
<v Speaker 1>don't lose or gain energy. It has to kind of

0:29:38.280 --> 0:29:41.360
<v Speaker 1>be the same here and after. Yeah, exactly. This is

0:29:41.400 --> 0:29:44.400
<v Speaker 1>sort of a conservation there, this conservation of probability. Also

0:29:44.680 --> 0:29:47.600
<v Speaker 1>in quantum mechanics, it says that things are transformed and

0:29:47.640 --> 0:29:51.640
<v Speaker 1>they slash around, but they don't disappear. And what is

0:29:51.680 --> 0:29:54.160
<v Speaker 1>the thing that doesn't disappear. Well, it's the solution to

0:29:54.160 --> 0:29:56.760
<v Speaker 1>the Shortinger equation, which is really just the sum of

0:29:56.760 --> 0:30:00.280
<v Speaker 1>all the energies in the system. And so in some sense,

0:30:00.360 --> 0:30:03.760
<v Speaker 1>it's sort of like asking what is energy. Well, energy

0:30:03.960 --> 0:30:07.680
<v Speaker 1>is the thing that's conserved if you have time symmetry

0:30:07.800 --> 0:30:11.520
<v Speaker 1>in your system. And it's something we just sort of noticed.

0:30:11.560 --> 0:30:14.120
<v Speaker 1>We're like, well, you add all these things up kinetic

0:30:14.200 --> 0:30:16.320
<v Speaker 1>energy and potential energy here, and you add it up later,

0:30:16.600 --> 0:30:19.400
<v Speaker 1>we notice we get the same answer. And that's something

0:30:19.440 --> 0:30:22.680
<v Speaker 1>we've noticed because we've mostly been doing experiments in systems

0:30:22.680 --> 0:30:25.480
<v Speaker 1>where time doesn't matter. Where if you do the experiment

0:30:25.520 --> 0:30:27.960
<v Speaker 1>now or a hundred days or in a thousand years,

0:30:28.200 --> 0:30:31.240
<v Speaker 1>you get the same answer. So whenever time is symmetric,

0:30:31.280 --> 0:30:34.320
<v Speaker 1>and it has basically always been for our experiments, then

0:30:34.520 --> 0:30:37.520
<v Speaker 1>energy is conserved. So I feel like you're saying that

0:30:37.680 --> 0:30:40.160
<v Speaker 1>energy is just an illusion of times, and yes, exactly,

0:30:40.160 --> 0:30:43.680
<v Speaker 1>that's the message, is that energy is connected to time.

0:30:43.720 --> 0:30:46.160
<v Speaker 1>And we know that already from quantum mechanics. Right. We

0:30:46.240 --> 0:30:48.720
<v Speaker 1>know quantum mechanics tells us you can't measure the position

0:30:48.760 --> 0:30:51.320
<v Speaker 1>and momentum of a particle at the same time. Those

0:30:51.320 --> 0:30:55.280
<v Speaker 1>two concepts are connected, right, And it also connects energy

0:30:55.360 --> 0:30:58.280
<v Speaker 1>and time, and it's for the same fundamental reason that

0:30:58.320 --> 0:31:01.720
<v Speaker 1>there's a connection between those two basic quantities. They're really

0:31:01.960 --> 0:31:05.120
<v Speaker 1>two sides of the same thing. One symmetry leads to

0:31:05.160 --> 0:31:07.280
<v Speaker 1>a conservation law. All right, I feel like we're set

0:31:07.320 --> 0:31:10.800
<v Speaker 1>up now to break the conservation of energy and talk

0:31:10.880 --> 0:31:14.040
<v Speaker 1>about why that's really true and what it means. But

0:31:14.080 --> 0:31:16.560
<v Speaker 1>now it's time for us to take another quick break.

0:31:29.200 --> 0:31:31.760
<v Speaker 1>All right, Dan, we're talking about the conservation of energy,

0:31:31.880 --> 0:31:34.360
<v Speaker 1>and it turns out that energy is not always conserved,

0:31:34.480 --> 0:31:37.480
<v Speaker 1>which blows my mind. You're telling me it has something

0:31:37.520 --> 0:31:40.400
<v Speaker 1>to do with the symmetry of times. If time is symmetric,

0:31:40.560 --> 0:31:43.920
<v Speaker 1>then energy is conserved. And so I'm guessing what you're

0:31:43.960 --> 0:31:46.400
<v Speaker 1>gonna say now is that time is not always symmetric,

0:31:46.720 --> 0:31:49.720
<v Speaker 1>and it's actually a little bit larger than that. It's spacetime.

0:31:50.320 --> 0:31:53.400
<v Speaker 1>If the universe in which you're doing your experiment is fixed,

0:31:53.440 --> 0:31:56.760
<v Speaker 1>if spacetime is fixed, it's not changing, then yes, energy

0:31:56.840 --> 0:31:59.600
<v Speaker 1>is conserved. And so if spacetime is flat and it's

0:31:59.600 --> 0:32:01.840
<v Speaker 1>not changed, you can do your experiments. You can fuel

0:32:01.840 --> 0:32:04.760
<v Speaker 1>your car, you can drain your battery, you can collide particles,

0:32:04.800 --> 0:32:07.880
<v Speaker 1>you can do chemistry, and energy will be conserved. But

0:32:08.760 --> 0:32:11.920
<v Speaker 1>as soon as you break the symmetry of spacetime, as

0:32:11.920 --> 0:32:15.880
<v Speaker 1>soon as spacetime is changing, right, the shape of space

0:32:15.920 --> 0:32:17.520
<v Speaker 1>and the shape of the universe. As soon as that

0:32:17.640 --> 0:32:20.880
<v Speaker 1>is changing, energy is no longer guaranteed to be conserved

0:32:20.960 --> 0:32:24.680
<v Speaker 1>because it only was conserved because space time was not changing.

0:32:24.840 --> 0:32:28.040
<v Speaker 1>Oh I see, So maybe to match up our intuitions

0:32:28.120 --> 0:32:31.040
<v Speaker 1>to this new idea, we have to maybe expand our

0:32:31.520 --> 0:32:33.600
<v Speaker 1>idea of conservation of energy. Like maybe it's not a

0:32:33.640 --> 0:32:36.560
<v Speaker 1>conservation of energy for a closed system. It's like we

0:32:36.600 --> 0:32:40.320
<v Speaker 1>have to think about conservation of energy being true for

0:32:40.520 --> 0:32:44.560
<v Speaker 1>like the same spacetime or a static spacetime. But if

0:32:44.560 --> 0:32:48.040
<v Speaker 1>you change that, if you change spacetime, then you can't

0:32:48.080 --> 0:32:50.560
<v Speaker 1>say that energy is conserved anymore. Exactly. We have to

0:32:50.600 --> 0:32:54.560
<v Speaker 1>add a qualifier. We say energy is only conserved when

0:32:54.840 --> 0:32:58.320
<v Speaker 1>time symmetry is respected, which happens when space time is

0:32:58.360 --> 0:33:01.360
<v Speaker 1>not changing. But you know, we live in a universe

0:33:01.360 --> 0:33:04.960
<v Speaker 1>where spacetime is changing. The expansion of the universe is

0:33:05.000 --> 0:33:08.640
<v Speaker 1>not just things moving through space. It's the stretching of

0:33:08.680 --> 0:33:12.520
<v Speaker 1>space itself. It's the creation of new space. So we

0:33:12.560 --> 0:33:16.480
<v Speaker 1>live in dynamic space time, which means energy fundamentally is

0:33:16.520 --> 0:33:19.560
<v Speaker 1>not conserved. It means that energy is not the deep,

0:33:19.680 --> 0:33:22.080
<v Speaker 1>true quantity that we thought it was. It means it's

0:33:22.080 --> 0:33:25.680
<v Speaker 1>not the important thing to be thinking about. So it's

0:33:25.840 --> 0:33:28.960
<v Speaker 1>expansion of space that destroys the conservation of energy. Or

0:33:29.040 --> 0:33:31.000
<v Speaker 1>is it the expansion of space time? Are you do?

0:33:31.040 --> 0:33:32.880
<v Speaker 1>You use it as the same shorthand? Yeah, Well we're

0:33:32.880 --> 0:33:36.040
<v Speaker 1>talking about the expansion of space time, right, or the

0:33:36.040 --> 0:33:38.600
<v Speaker 1>expansion of space through time. You can think about it

0:33:38.640 --> 0:33:42.160
<v Speaker 1>like that because the space in which we're doing our

0:33:42.200 --> 0:33:44.960
<v Speaker 1>experiments is changing as a function of time. And remember,

0:33:45.160 --> 0:33:48.240
<v Speaker 1>to have conservation of energy, you need to have symmetry

0:33:48.280 --> 0:33:50.600
<v Speaker 1>and time. But the universe is not the same today

0:33:50.880 --> 0:33:53.000
<v Speaker 1>as it was a thousand or a billion years ago.

0:33:53.120 --> 0:33:56.360
<v Speaker 1>It's a different universe. It's expanded. The space in which

0:33:56.360 --> 0:33:59.920
<v Speaker 1>we're doing our experiments is different, and so it changes

0:34:00.120 --> 0:34:03.080
<v Speaker 1>the results of the experiments. And it means energy is

0:34:03.120 --> 0:34:06.200
<v Speaker 1>not conserved from one moment of space to another moment

0:34:06.240 --> 0:34:09.279
<v Speaker 1>of space. And that would also work here at the

0:34:09.320 --> 0:34:12.200
<v Speaker 1>local level too, right Like, if I had a canister

0:34:12.360 --> 0:34:16.799
<v Speaker 1>of gas and I expanded the space time it was in,

0:34:17.360 --> 0:34:20.239
<v Speaker 1>I would see energy not conserved. That's true. You would

0:34:20.280 --> 0:34:24.200
<v Speaker 1>create more dark energy because you've expanded space and every

0:34:24.239 --> 0:34:27.040
<v Speaker 1>new unit of space has dark energy in it. So yeah,

0:34:27.080 --> 0:34:29.719
<v Speaker 1>you would have created more energy whether or not there

0:34:29.760 --> 0:34:31.960
<v Speaker 1>was a canister of gas there. And the thing for

0:34:32.000 --> 0:34:34.880
<v Speaker 1>people to understand is remember the expansion of the universe

0:34:35.000 --> 0:34:38.240
<v Speaker 1>seems dramatic. The universe is big, it's expanding super fast,

0:34:38.680 --> 0:34:41.759
<v Speaker 1>but locally it's not very quick, Like the expansion of

0:34:41.800 --> 0:34:44.400
<v Speaker 1>space is not something you notice day to day, and

0:34:44.440 --> 0:34:48.080
<v Speaker 1>it's actually pretty weak. It's pretty small quantity in a

0:34:48.160 --> 0:34:50.799
<v Speaker 1>small piece of space. It only adds up to be

0:34:50.920 --> 0:34:53.440
<v Speaker 1>most of the universe because the universe is already so big.

0:34:53.600 --> 0:34:55.920
<v Speaker 1>There's so much empty space out there that if you

0:34:55.920 --> 0:34:58.320
<v Speaker 1>add up all the dark energy becomes a huge number.

0:34:58.680 --> 0:35:02.040
<v Speaker 1>So this violation of energy something that's very, very small.

0:35:02.360 --> 0:35:05.440
<v Speaker 1>It's very hard to notice because the expansion of space

0:35:05.520 --> 0:35:09.680
<v Speaker 1>is a very gradual, tiny effect. I see, it's conserved mostly,

0:35:09.800 --> 0:35:12.160
<v Speaker 1>but if you think about the whole universe, it's not

0:35:12.239 --> 0:35:16.000
<v Speaker 1>actually insignificant. Yeah, exactly, it's a small violation, and an

0:35:16.040 --> 0:35:19.080
<v Speaker 1>individual unit of space added up over the whole universe

0:35:19.080 --> 0:35:21.480
<v Speaker 1>becomes kind of a big deal. But for me, it's

0:35:21.680 --> 0:35:24.040
<v Speaker 1>not as much about like the size and the number

0:35:24.200 --> 0:35:26.880
<v Speaker 1>as the fact of it, Like, whoa this thing we

0:35:26.920 --> 0:35:29.279
<v Speaker 1>thought was a deep truth in the universe turns out

0:35:29.360 --> 0:35:31.800
<v Speaker 1>to be a coincidence or just a product of where

0:35:31.800 --> 0:35:34.239
<v Speaker 1>we happen to be. You know. It's like if you

0:35:34.280 --> 0:35:36.600
<v Speaker 1>grow up eating toast for breakfast and they butter it

0:35:36.640 --> 0:35:38.799
<v Speaker 1>on the top side, you think, well, toast has to

0:35:38.800 --> 0:35:40.319
<v Speaker 1>be buttered on the top side, and then you go

0:35:40.400 --> 0:35:42.920
<v Speaker 1>visit your friend you discover what they eat butter on

0:35:42.920 --> 0:35:45.719
<v Speaker 1>the bottom side of their toast. That's even possible. It

0:35:45.840 --> 0:35:48.040
<v Speaker 1>opens your mind a whole new way of thinking about

0:35:48.080 --> 0:35:50.560
<v Speaker 1>the universe. And that's what this does. It says energy

0:35:50.640 --> 0:35:53.680
<v Speaker 1>is not the important thing. Right. Energy is something we

0:35:53.719 --> 0:35:56.520
<v Speaker 1>thought was deep and fundamental, but it's actually important to

0:35:56.640 --> 0:36:00.600
<v Speaker 1>cosmologists are things like curvature and expansion. Those are the

0:36:00.640 --> 0:36:04.880
<v Speaker 1>fundamentally interesting things about the universe, not the energy. I

0:36:04.880 --> 0:36:07.760
<v Speaker 1>guess maybe what would trip people up is thinking about

0:36:07.760 --> 0:36:10.359
<v Speaker 1>where that energy comes from, right, I mean that's sort

0:36:10.360 --> 0:36:12.520
<v Speaker 1>of the origin of the original question. If the universe

0:36:12.600 --> 0:36:16.319
<v Speaker 1>is expanding and there's more energy being created, where does

0:36:16.360 --> 0:36:19.000
<v Speaker 1>it come from? Are you saying that energy can just

0:36:19.040 --> 0:36:22.319
<v Speaker 1>be created out of the blue. Yes, that's exactly what

0:36:22.320 --> 0:36:24.239
<v Speaker 1>we're saying, is that we've discovered that it doesn't have

0:36:24.320 --> 0:36:27.240
<v Speaker 1>to come from anywhere. That's sort of the wrong question.

0:36:27.560 --> 0:36:30.480
<v Speaker 1>It's like asking where does the value come from when

0:36:30.480 --> 0:36:33.520
<v Speaker 1>Picasso paints a new painting, Right, it didn't come from anywhere.

0:36:33.680 --> 0:36:36.480
<v Speaker 1>It wasn't and now it is. It only has to

0:36:36.560 --> 0:36:40.160
<v Speaker 1>come from somewhere if it's conserved, and there are things

0:36:40.200 --> 0:36:43.520
<v Speaker 1>that are universe that are conserved, like electric charge. Right,

0:36:43.560 --> 0:36:47.120
<v Speaker 1>you can't just create an electron because it's charged, has

0:36:47.200 --> 0:36:51.040
<v Speaker 1>to come from somewhere, has to come from previously charged particles.

0:36:51.600 --> 0:36:53.680
<v Speaker 1>Or you can start with a photon and create an

0:36:53.680 --> 0:36:56.760
<v Speaker 1>electron but then you have to create an anti electron also,

0:36:57.160 --> 0:36:59.640
<v Speaker 1>so you have balance of charge. There are things that

0:36:59.719 --> 0:37:01.799
<v Speaker 1>are fundamental that have to be conserved to have to

0:37:01.840 --> 0:37:04.879
<v Speaker 1>come from somewhere, but energy is not one of them.

0:37:04.920 --> 0:37:07.520
<v Speaker 1>It should be like demoted from that list of like

0:37:07.600 --> 0:37:11.120
<v Speaker 1>super important fundamental conserved quantities because it's just sort of

0:37:11.160 --> 0:37:13.560
<v Speaker 1>like an accident of where we live that we never

0:37:13.640 --> 0:37:17.840
<v Speaker 1>noticed that's not actually conserved. Man, first you demote pluto,

0:37:17.960 --> 0:37:22.719
<v Speaker 1>and now you're demoting energy. Who's the next matter? That's right,

0:37:22.880 --> 0:37:25.000
<v Speaker 1>We are pulling back the veil. Man. We are discovering

0:37:25.239 --> 0:37:27.520
<v Speaker 1>new deep truths. Matter that was like a hundred years

0:37:27.560 --> 0:37:30.279
<v Speaker 1>ago demoted matter the same matter doesn't matter. Matter, it

0:37:30.360 --> 0:37:32.799
<v Speaker 1>doesn't matter. And you know, I think it must have

0:37:32.840 --> 0:37:35.680
<v Speaker 1>been equally bewildering a hundred years ago to think what

0:37:35.760 --> 0:37:38.319
<v Speaker 1>you can create matter? Do you think you're some sort

0:37:38.360 --> 0:37:41.160
<v Speaker 1>of divine being? Right? Matter is you can't where did

0:37:41.160 --> 0:37:43.759
<v Speaker 1>it come from? When you make new matter, and it

0:37:43.800 --> 0:37:46.960
<v Speaker 1>doesn't have to come from anywhere. It's transformed from energy.

0:37:47.000 --> 0:37:50.400
<v Speaker 1>But the matter itself didn't exist, and matter can disappear,

0:37:50.400 --> 0:37:52.960
<v Speaker 1>It can exist and then just not exist anymore. It

0:37:53.000 --> 0:37:56.399
<v Speaker 1>doesn't have to be conserved all right, Well, it sort

0:37:56.440 --> 0:37:58.200
<v Speaker 1>of blows my mind. But it turns out that this

0:37:58.280 --> 0:38:00.880
<v Speaker 1>is actually a little bit controversial in physics, Like not

0:38:00.960 --> 0:38:05.560
<v Speaker 1>everyone agrees with this conclusion that energy is not conserved.

0:38:05.640 --> 0:38:07.640
<v Speaker 1>Is that right? Yeah, that's right. There are some folks

0:38:07.680 --> 0:38:10.640
<v Speaker 1>who find this very uncomfortable and they don't like this idea,

0:38:10.960 --> 0:38:13.200
<v Speaker 1>so they try to patch up energy and say, well,

0:38:13.280 --> 0:38:16.080
<v Speaker 1>let's think about energy in a slightly different way so

0:38:16.120 --> 0:38:19.239
<v Speaker 1>that it is concerned, and that's totally valid. It's like, well,

0:38:19.320 --> 0:38:22.239
<v Speaker 1>let's find a different symmetry or a different thing, you know,

0:38:22.360 --> 0:38:25.239
<v Speaker 1>energy prime or energy two point oh, so that it

0:38:25.320 --> 0:38:27.480
<v Speaker 1>actually is conserved, because maybe that will give you some

0:38:27.600 --> 0:38:30.480
<v Speaker 1>deep insight into the universe. And the way they do

0:38:30.560 --> 0:38:32.840
<v Speaker 1>this is a little bit controversial. I would say like

0:38:32.920 --> 0:38:35.759
<v Speaker 1>three out of four cosmologists and dentists I asked would

0:38:35.760 --> 0:38:38.680
<v Speaker 1>say that energy is not conserved. But there's some people

0:38:38.680 --> 0:38:41.080
<v Speaker 1>out there that try to patch it up by folding

0:38:41.080 --> 0:38:44.880
<v Speaker 1>this energy back into the gravitational field. Meaning like maybe

0:38:44.960 --> 0:38:47.160
<v Speaker 1>they think that maybe you're just doing the accounting wrong.

0:38:47.560 --> 0:38:51.040
<v Speaker 1>They might say that a costs of paintings are conserved

0:38:51.040 --> 0:38:54.600
<v Speaker 1>in value, is just that you know, you're accounting for

0:38:54.719 --> 0:38:58.319
<v Speaker 1>people's happiness when they purchase a costs or something like that,

0:38:58.440 --> 0:39:03.040
<v Speaker 1>right exactly. And they say, there's another category of energy

0:39:03.040 --> 0:39:05.680
<v Speaker 1>that we're not accounting for, and that's the gravitational energy,

0:39:06.160 --> 0:39:08.799
<v Speaker 1>and that as the universe expands, it actually gets more

0:39:08.840 --> 0:39:12.640
<v Speaker 1>and more negative gravitational energy. That the expansion of the

0:39:12.680 --> 0:39:17.000
<v Speaker 1>universe creates negative energy in the gravitational field that offsets

0:39:17.280 --> 0:39:20.680
<v Speaker 1>the positive energy from dark matter. And they do some

0:39:20.760 --> 0:39:23.640
<v Speaker 1>calculations and show that boom, it all adds up to zero,

0:39:23.719 --> 0:39:27.120
<v Speaker 1>and so energy is actually conserved. According to these folks,

0:39:27.200 --> 0:39:29.919
<v Speaker 1>is it kind of like the photon that loses energy

0:39:30.000 --> 0:39:33.879
<v Speaker 1>Like when you grow space you're pulling things apart, which

0:39:33.920 --> 0:39:37.239
<v Speaker 1>means you're losing gravitational energy, right, or you're gaining you're

0:39:37.239 --> 0:39:41.040
<v Speaker 1>losing you're gaining when when you're pulling things apart, it

0:39:41.080 --> 0:39:44.840
<v Speaker 1>takes energy to separate objects, right, So that's negative work

0:39:45.320 --> 0:39:48.880
<v Speaker 1>and so you're losing energy. You're creating a negative energy

0:39:48.960 --> 0:39:52.879
<v Speaker 1>situation in the gravitational field. But there's a problem with

0:39:52.960 --> 0:39:55.319
<v Speaker 1>this and the other folks on the other side of

0:39:55.320 --> 0:39:57.799
<v Speaker 1>the divide that say the energy is not conserved, they

0:39:57.880 --> 0:40:00.359
<v Speaker 1>quibble with the way this calculation is done, and they

0:40:00.360 --> 0:40:03.400
<v Speaker 1>think it's not actually technically correct that you can't actually

0:40:03.440 --> 0:40:07.280
<v Speaker 1>just measure the energy of a gravitational field, because gravity

0:40:07.360 --> 0:40:10.000
<v Speaker 1>is a really complicated thing. It's not just like, here's

0:40:10.000 --> 0:40:13.400
<v Speaker 1>a fixed gravitational potential and you can measure the energy. Remember,

0:40:13.440 --> 0:40:18.120
<v Speaker 1>gravity is dynamical, it's responding to space, it's shifting, it's changing.

0:40:18.560 --> 0:40:20.000
<v Speaker 1>And so, for reasons that I think are a little

0:40:20.000 --> 0:40:22.800
<v Speaker 1>too technical to dive into, there's not really a good,

0:40:22.960 --> 0:40:26.120
<v Speaker 1>well defined way to calculate the gravitational energy of the

0:40:26.120 --> 0:40:29.880
<v Speaker 1>whole universe, or even the gravitational energy more importantly of

0:40:29.920 --> 0:40:33.040
<v Speaker 1>a part of the universe, the gravitational density. So they

0:40:33.040 --> 0:40:35.480
<v Speaker 1>say that doesn't really count. You can't include it in

0:40:35.520 --> 0:40:39.560
<v Speaker 1>the calculation. Energy is not concerned. So it's still in progress.

0:40:39.560 --> 0:40:41.720
<v Speaker 1>People are still talking about it. People are still talking

0:40:41.719 --> 0:40:44.200
<v Speaker 1>about it, but I think the consensus is energy is

0:40:44.239 --> 0:40:47.080
<v Speaker 1>not conserved, despite these efforts to try to patch it

0:40:47.200 --> 0:40:49.120
<v Speaker 1>up and fix it and to say that there's a

0:40:49.160 --> 0:40:51.640
<v Speaker 1>way to look at energy such that it is concerned.

0:40:52.280 --> 0:40:54.080
<v Speaker 1>And then what do the dentist thing that if you

0:40:54.160 --> 0:40:56.640
<v Speaker 1>maybe do a root canal, you consider bypass s base.

0:40:58.960 --> 0:41:01.480
<v Speaker 1>They think we shouldn't eating fruit loops late at night

0:41:01.760 --> 0:41:05.040
<v Speaker 1>you should be flossing more often. You'd be flossing your

0:41:05.040 --> 0:41:07.279
<v Speaker 1>theory is more often because you know you can get

0:41:07.320 --> 0:41:10.319
<v Speaker 1>gun accumulating. But to me, I think it's fascinating. It's

0:41:10.360 --> 0:41:13.800
<v Speaker 1>a great investigation into like what's real about the universe,

0:41:13.840 --> 0:41:16.840
<v Speaker 1>what's deep, what's true. The reason that we try to

0:41:16.920 --> 0:41:19.840
<v Speaker 1>identify conservation laws is not just because we need a

0:41:19.880 --> 0:41:22.600
<v Speaker 1>better energy policy, but because we're trying to understand the

0:41:22.600 --> 0:41:25.200
<v Speaker 1>way the universe works, and finding these things that are

0:41:25.200 --> 0:41:28.439
<v Speaker 1>conserved or turns out to be not conserved are ways

0:41:28.440 --> 0:41:30.400
<v Speaker 1>that we get clues as to the way the whole

0:41:30.440 --> 0:41:33.520
<v Speaker 1>machinery works deep down. Yeah, I think what I'm getting

0:41:33.560 --> 0:41:36.879
<v Speaker 1>is that physics is maybe as fickle and sensical as

0:41:36.960 --> 0:41:40.600
<v Speaker 1>the art world. I think is what you're saying, and dentistry.

0:41:40.960 --> 0:41:43.560
<v Speaker 1>Your theory is genius, it's fundamental. Actually, no, it turns

0:41:43.560 --> 0:41:47.960
<v Speaker 1>out it's worth nothing. It's like cubism itself, makes no sense.

0:41:49.880 --> 0:41:53.080
<v Speaker 1>That's right, But there's a real beauty here to this inside,

0:41:53.120 --> 0:41:57.239
<v Speaker 1>this connection between symmetries and conservation laws, and it tells

0:41:57.239 --> 0:42:00.400
<v Speaker 1>you that every time you find something symmetric about the universe,

0:42:00.719 --> 0:42:04.120
<v Speaker 1>there's something out there being conserved. And that's really cool

0:42:04.160 --> 0:42:07.080
<v Speaker 1>and beautiful to me. Well, I think the takeaway is

0:42:07.120 --> 0:42:09.960
<v Speaker 1>that we can say that energy is conserved in space time,

0:42:10.440 --> 0:42:13.799
<v Speaker 1>but that spacetime itself is not always conserved. Yeah, if

0:42:13.800 --> 0:42:17.239
<v Speaker 1>spacetime is fixed, then energy is definitely conserved. In a

0:42:17.320 --> 0:42:20.960
<v Speaker 1>situation any universe like ours, where spacetime is expanding, then

0:42:20.960 --> 0:42:25.239
<v Speaker 1>there's no guarantee of energy conservation. Energy actually increases as

0:42:25.280 --> 0:42:28.840
<v Speaker 1>space time increases, and it doesn't come from anywhere, which

0:42:28.880 --> 0:42:31.120
<v Speaker 1>is hard to grapple with, but it is our reality.

0:42:31.120 --> 0:42:33.960
<v Speaker 1>And that's the job of physics is confronting us with

0:42:34.239 --> 0:42:37.719
<v Speaker 1>hard to understand truths, things that don't make sense to

0:42:37.719 --> 0:42:40.480
<v Speaker 1>our intuition, but that we figured out through science. Right,

0:42:40.520 --> 0:42:43.040
<v Speaker 1>that's why we have science and not just intuition, to

0:42:43.200 --> 0:42:46.640
<v Speaker 1>confront us with these things which are in conflict with

0:42:46.680 --> 0:42:48.920
<v Speaker 1>what we thought but turned out to be actually true.

0:42:49.800 --> 0:42:51.840
<v Speaker 1>All right, done, I won't walk away from the interview.

0:42:52.400 --> 0:42:54.399
<v Speaker 1>I'm staying. I'm staying for the rest of it, which

0:42:54.480 --> 0:42:58.960
<v Speaker 1>is about ten seconds. All right, Well, I conserved some

0:42:59.120 --> 0:43:01.600
<v Speaker 1>energy for this last bit. Well, we hope everyone enjoyed. Dad,

0:43:01.680 --> 0:43:03.960
<v Speaker 1>Thanks for joining us, and think a little bit more

0:43:04.000 --> 0:43:06.880
<v Speaker 1>about what do you think is true about the universe

0:43:06.920 --> 0:43:10.160
<v Speaker 1>and what might be an idea that Daniel and his

0:43:10.239 --> 0:43:14.640
<v Speaker 1>dentists wrong in the future, hopefully everything. Thanks for joining us,

0:43:14.840 --> 0:43:24.880
<v Speaker 1>see you next time. Thanks for listening, and remember that

0:43:25.000 --> 0:43:27.719
<v Speaker 1>Daniel and Jorge explain the universe is a production of

0:43:27.880 --> 0:43:31.240
<v Speaker 1>I Heart Radio. Or more podcast from my heart Radio

0:43:31.360 --> 0:43:34.960
<v Speaker 1>visit the I heart Radio app, Apple Podcasts, or wherever

0:43:35.040 --> 0:43:36.720
<v Speaker 1>you listen to your favorite shows.