WEBVTT - What is negative temperature?

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<v Speaker 1>Hey, Jorge, do you have any concerns about raising your

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<v Speaker 1>kids in southern California? I don't. It's pretty great out here,

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<v Speaker 1>although I do feel like they miss out on some

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<v Speaker 1>things they do. What's missing in southern California? Well, definitely

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<v Speaker 1>not plastic surgery, we got that covered for sure. But

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<v Speaker 1>you know, there are experiences kids growing up here that

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<v Speaker 1>they don't get that other kids do. Yeah, like what

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<v Speaker 1>you know, like experiencing winter, snowfall. I mean, I guess

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<v Speaker 1>I miss winter, but I wouldn't say I'm missing winter.

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<v Speaker 1>Would you say, you know, misshoveling snow, putting on multiple

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<v Speaker 1>layers of clothes, multiple layers of clothes. What does that

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<v Speaker 1>even mean? Man? If you're like layers of clothes, what

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<v Speaker 1>does that even mean? I'm recording this naked. You don't

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<v Speaker 1>think kids should know about winter? No, I'm definitely anti winter.

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<v Speaker 1>That's when I'm teaching my kids about winter avoided at

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<v Speaker 1>all costs. But what if they don't? What if they

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<v Speaker 1>end up living there and then are you going to

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<v Speaker 1>go visit them? Depends how cute grandkids are. I guess

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<v Speaker 1>that's pretty coold. Daniela, Hi, I'm or handmade cartoonists and

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<v Speaker 1>the co author of Frequently Asked Questions about the Universe. Hi,

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<v Speaker 1>I'm Daniel. I'm a physics professor at u C Irvine

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<v Speaker 1>and a high energy physicist, and I definitely prefer high

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<v Speaker 1>energy air molecules. You don't like low energy air? No?

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<v Speaker 1>I like it hot outside. You know, when I moved

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<v Speaker 1>to California, I discovered that sunshine makes me happy. Do

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<v Speaker 1>you think maybe that's your upbringing? You grew up in

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<v Speaker 1>New Mexico, right, and then you went to school in Texas.

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<v Speaker 1>I did. I'm a desert person, but you know, New

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<v Speaker 1>Mexico was pretty cold. Los Almos is seven thousand feet

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<v Speaker 1>in elevation, and so we got a lot of snow.

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<v Speaker 1>I remember one year we got fifty five inches overnight.

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<v Speaker 1>I was not a happy camp Well, so you'm are

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<v Speaker 1>of a desert person or a dessert person? Dessert in

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<v Speaker 1>the desert, and do you like your desserts hot or cold?

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<v Speaker 1>I like them both. I'm not picky. But anyways, welcome

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<v Speaker 1>to our podcast, Daniel and Jorge Explained the Universe, a

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<v Speaker 1>production of My Heart Radio in which we are hot

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<v Speaker 1>on the mysteries of the universe and we think that

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<v Speaker 1>everything about it is pretty cool. We want to understand

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<v Speaker 1>how the universe works, what the rules are that govern

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<v Speaker 1>how it operates, and whether or not we can understand them.

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<v Speaker 1>We think one of the most fundamental questions about being alive,

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<v Speaker 1>about being human, is why are things the way that

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<v Speaker 1>they are? And what else could happen in this universe?

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<v Speaker 1>That's right. We don't give a cold shoulder to the

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<v Speaker 1>big questions out there because it is a wonderful universe

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<v Speaker 1>full of amazing things, and sometimes we wish we could

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<v Speaker 1>freeze it all so we can study it a little

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<v Speaker 1>bit better. That's right. These are hot topics for us

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<v Speaker 1>to understand, and as we look out around us in

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<v Speaker 1>the universe, we want to understand why some things are

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<v Speaker 1>the way they are, Why some things are hot, why

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<v Speaker 1>somethings are cold, Why hot things tend to heat up

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<v Speaker 1>cold things, Why cold things tend to cool down hot things. Yeah,

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<v Speaker 1>because we want people to warm up to the extremes

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<v Speaker 1>of the universe and all of the amazing things that

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<v Speaker 1>can happen and many different temperatures out there. The universe

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<v Speaker 1>has a pretty wide range from super hot explosive supernovas

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<v Speaker 1>and hearts of neutron stars really vast voids of empty

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<v Speaker 1>space exactly. And one of the best ways to understand

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<v Speaker 1>how the universe works, to make it reveal it is

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<v Speaker 1>underlying truth, the rules that governed it, is to look

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<v Speaker 1>at the extremes to find out what is the most

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<v Speaker 1>of something that can happen. How bright can things get,

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<v Speaker 1>how fast can this spen, how empty can space be,

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<v Speaker 1>how dense can matter be? So on this podcast, we'd

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<v Speaker 1>like to explore those extremes because we think those are

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<v Speaker 1>the places that the universe is cornered, is forced to

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<v Speaker 1>tell us something about how the rules work. These are

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<v Speaker 1>the edge cases, the ones where we hope the truth

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<v Speaker 1>will reveal itself. Yeah, we have a whole series of

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<v Speaker 1>episodes where talk about extreme things in the universe, the coldest,

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<v Speaker 1>the brightest, the biggest. Daniel have we done the most

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<v Speaker 1>delicious thing in the universe yet? That's just been a

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<v Speaker 1>side research project of mine for a long time. You're

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<v Speaker 1>just gathering data more and more every year. Yeah, you know,

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<v Speaker 1>I'm not trying to mind my personal experience for podcast episodes,

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<v Speaker 1>but that's a good idea. Or maybe the most delicious

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<v Speaker 1>thing in the universe is the universe. It's a pretty

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<v Speaker 1>tasty place. Well, the universe is the only thing in

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<v Speaker 1>the universe, right, so it's both the most delicious and

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<v Speaker 1>the most disgusting thing to eat in the universe. Also

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<v Speaker 1>the most filling, I guess. But we have done a

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<v Speaker 1>whole series of episodes on extremes and we encourage you

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<v Speaker 1>to go back through the archive and check them out.

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<v Speaker 1>But we did do those sort of the hottest and

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<v Speaker 1>coldest things in the universe. Those are two episodes you

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<v Speaker 1>can download, right, Yeah, that's right. And we recently organized

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<v Speaker 1>a curated list of all of our episodes on our website.

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<v Speaker 1>Listeners have been asking for us to sort the episodes

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<v Speaker 1>by topic, and so now we have them grouped by

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<v Speaker 1>cosmology or particle physics, or science fiction or extreme universe.

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<v Speaker 1>So go to our website Daniel and Jorge dot com

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<v Speaker 1>and look at the list of episodes by topic. Yeah,

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<v Speaker 1>so it's kind of like a menu. So if you're

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<v Speaker 1>feeling like, hey, you know, I could use a little

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<v Speaker 1>cosmology today, or I could use a little you know,

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<v Speaker 1>fundamental particles with my meal, you can go and help yourself.

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<v Speaker 1>That's right, Order up a side dish of black holes.

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<v Speaker 1>So we have talked about temperature a lot in this podcast,

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<v Speaker 1>But recently you've got in a few questions about a

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<v Speaker 1>new and interesting topic that's kind of floating out there,

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<v Speaker 1>right exactly, Folks are interested in the extremes of temperature,

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<v Speaker 1>all the way down to absolute zero, or all the

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<v Speaker 1>way up to absolute hot, the hottest that things can

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<v Speaker 1>get in the universe before temperature doesn't even make any sense.

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<v Speaker 1>But over the last year so I've gotten a few

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<v Speaker 1>emails asking me to talk about something that sounds like

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<v Speaker 1>it makes no sense at all, something that has been

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<v Speaker 1>bouncing around on the internet and inspire the curiosity of

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<v Speaker 1>several listeners whether or not it's possible to go even

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<v Speaker 1>below absolute zero. So today on the podcast, we'll be

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<v Speaker 1>asking the question, what is negative temperature? Negative temperature? What now, Daniel,

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<v Speaker 1>is this temperature that is not an optimist or what

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<v Speaker 1>always looks on the dark side of things? Yeah, this

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<v Speaker 1>is grumpy temperature exactly, whatever makes you feel bad. It's

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<v Speaker 1>not how positivemperature. Yeah, this is a weird concept. I guess, well,

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<v Speaker 1>I guess people are familiar with negative temperature, right, Like

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<v Speaker 1>in some places it gets so cold it's like minus

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<v Speaker 1>fifteen degrees, right, yeah, And like negative forty is where

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<v Speaker 1>celsius and fahrenheit meat so on some scales, negative temperature

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<v Speaker 1>is a pretty common experience. But I think people are

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<v Speaker 1>probably thinking about Kelvin. You mean this physical concept is

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<v Speaker 1>more about absolute temperature and whether or not it can

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<v Speaker 1>be negative. Yeah. The Kelvin scale goes from zero, which

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<v Speaker 1>is supposed to be this scenario where nothing is moving

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<v Speaker 1>and everything is basically frozen up to very high values

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<v Speaker 1>when things are wriggling around. So from that perspective, you know, like,

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<v Speaker 1>what does it mean to have negative of temperature? Can

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<v Speaker 1>you move less than not moving at all? Right? That

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<v Speaker 1>is pretty weird. But is that maybe just the scaler thing,

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<v Speaker 1>like we use the wrong scale. But no, because it's

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<v Speaker 1>absolute temperature, right, there are like hard limits or at

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<v Speaker 1>least I thought there were hard limits to absolute temperature

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<v Speaker 1>or the Kelvin scale right zero to infinity kind of

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<v Speaker 1>zero to the plank temperature. Actually, there is this maximum

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<v Speaker 1>temperature beyond which we think that gravity will take over

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<v Speaker 1>in quantum gravity effects will be important And we don't

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<v Speaker 1>even know what temperature means there. Wait, what it's called

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<v Speaker 1>absolute hot? Absolute hot or absolutely hot? Absolute hot is

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<v Speaker 1>absolutely hot? For sure? It sounds like a new vodka brand,

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<v Speaker 1>but it touches on these interesting questions of like what

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<v Speaker 1>is temperature anyway? You know, as human as, we have

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<v Speaker 1>experiences in the world, and then we try to build models,

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<v Speaker 1>physical ideas that describe those things. And then we have

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<v Speaker 1>to find a way to like mathematically express some things

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<v Speaker 1>that we experience temperature or something that's like very tuitive

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<v Speaker 1>to us. But in our physical models we need like

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<v Speaker 1>equations and numbers to describe these things. And sometimes that's

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<v Speaker 1>easy to do, like velocity or location, and sometimes it's

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<v Speaker 1>a little bit fuzzy, and so we're gonna get into

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<v Speaker 1>like what does temperature really mean anyway? Man? Yeah, So

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<v Speaker 1>we have this temperature in the absolute temperature within the

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<v Speaker 1>Kelvin scale, and so for example, like what is room

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<v Speaker 1>temperature in kelvin zero and celsius corresponds to two hundred

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<v Speaker 1>and seventy three in kelvin, So comfortable temperature in celsius

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<v Speaker 1>is like twenty five, which would be like two hundred

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<v Speaker 1>nineties something in kelvin. Okay, so room temperature is two

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<v Speaker 1>hundred ninety eight, let's say in kelvin, and then freezing

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<v Speaker 1>is two d seventy three, And I guess what temperature

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<v Speaker 1>does water boil, so it would be three three, three

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<v Speaker 1>seventy three or a hundred celsius. Okay. So then as

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<v Speaker 1>you start to cool things and make things colder, the

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<v Speaker 1>kelvin goes down and down and down and down. And

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<v Speaker 1>I think we talked about what is the coldest thing?

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<v Speaker 1>We've gotten something here on Earth? Right, Yeah, we have

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<v Speaker 1>on the coldest thing in the universe and the coldest

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<v Speaker 1>thing on Earth. And physicists regularly do experiments with super

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<v Speaker 1>duper cold objects, things that like the micro kelvin temperature

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<v Speaker 1>just about what we thought was the absolute minimum temperature,

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<v Speaker 1>which is actually a tiny little bit above absolute zero,

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<v Speaker 1>that's right. We talked about how the maybe the coldest

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<v Speaker 1>thing in the universe is something you're on Earth that

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<v Speaker 1>scientists have been able to cool down to almost zero

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<v Speaker 1>kelvin zero point zero zero zero zero zero zero one kelvin.

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<v Speaker 1>And so the question is can you actually go below? Right?

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<v Speaker 1>Is there such a thing as negative absolute temperature exactly?

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<v Speaker 1>That is the question today? Or is it even possible?

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<v Speaker 1>I guess? And what are physicists thinking? So as usually

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<v Speaker 1>were wondering how many people out there had thought about

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<v Speaker 1>this question or wondered whether temperature can go negative? And

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<v Speaker 1>so Daniel went out there into the internet or your campus.

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<v Speaker 1>These are Internet answers and thanks again everybody who volunteers

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<v Speaker 1>to answer these weird email the questions. If you'd like

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<v Speaker 1>to receive some strange questions for future podcast as episodes

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<v Speaker 1>in your inbox, please don't be shy or right to

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<v Speaker 1>us two questions at Daniel and Jorge dot com. That's right,

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<v Speaker 1>and you can be as positive or as negative as

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<v Speaker 1>you want in your answers. But think about it for

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<v Speaker 1>a second, right now, do you think absolute temperature can

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<v Speaker 1>be negative? Here's what people had to say. This is

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<v Speaker 1>a loaded question. Um, but if my bank account can

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<v Speaker 1>have a negative balance, so too can a cemometer unless

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<v Speaker 1>it's measuring in kelvin. He never goes Belusira. Well, because

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<v Speaker 1>you're asking this, I'm going to assume that that's what

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<v Speaker 1>the topic is. But right, persons think would be you

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<v Speaker 1>can't you can't have a negative temperature because I'm thinking

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<v Speaker 1>like kelvin, right, I mean, obviously you can have like

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<v Speaker 1>a negative celsius or something, but like you can't have

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<v Speaker 1>like a negative like kelvin amount of temperature. So no,

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<v Speaker 1>I don't think you can. I think it zero Kelvin

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<v Speaker 1>the molecules actually stopped moving. Not molecules, I mean particles

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<v Speaker 1>actually stopped moving as far as I know, probably wrong,

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<v Speaker 1>but that's my understanding. Well, on the Celsius and Fahrenheit scales,

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<v Speaker 1>you can have a nick it of value for your temperature,

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<v Speaker 1>but on the Kelvin or ranking scales, with positive temperature

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<v Speaker 1>being amount of energy and zero absolute zero being um

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<v Speaker 1>no heat energy. In that case, for a negative temperature,

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<v Speaker 1>you would have to have this um. You'd be like

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<v Speaker 1>a black hole of energy, or just the potential to

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<v Speaker 1>absorb energy from somewhere else. But maybe you don't actually

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<v Speaker 1>exist and you're just something mathematicians use. Like I my

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<v Speaker 1>first impression would be no, I don't think you can,

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<v Speaker 1>since if your particles are studic, then your temperature would

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<v Speaker 1>be absolute zero. I don't I don't know. Maybe unless

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<v Speaker 1>the particles are moving back in time some way, then

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<v Speaker 1>you could have negative temperature. I really don't know. I'm

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<v Speaker 1>making this up as I go, Daniel, I think you

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<v Speaker 1>forgot about you how you moved in California, and you

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<v Speaker 1>forgot that you can go negative during the year. I

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<v Speaker 1>do not believe it's possible to have a negative temperature.

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<v Speaker 1>There is a reason why absolute zero is called. Absolute

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<v Speaker 1>temperature is the sum of the kinetic energy of the

0:12:16.600 --> 0:12:19.640
<v Speaker 1>particles of the objects being measured. And I don't believe

0:12:19.679 --> 0:12:24.320
<v Speaker 1>something can have negative motion unless there is some oddity

0:12:24.360 --> 0:12:27.920
<v Speaker 1>and the fact that measuring motion requires the existence of

0:12:27.960 --> 0:12:31.319
<v Speaker 1>a reference point, and with a boundless, infinite universe, where

0:12:31.480 --> 0:12:35.600
<v Speaker 1>is that absolute reference point? But otherwise there is no

0:12:35.640 --> 0:12:38.720
<v Speaker 1>possibility for negative temperature. I'm going to go with no.

0:12:39.240 --> 0:12:42.160
<v Speaker 1>And also it depends on what context we're talking about

0:12:42.240 --> 0:12:45.280
<v Speaker 1>this in. For example, if you're dead, I think your

0:12:45.320 --> 0:12:48.240
<v Speaker 1>temperature can be negative because you'd be frozen in a

0:12:48.280 --> 0:12:52.760
<v Speaker 1>refrigerator or something. But as a living human being, having

0:12:52.760 --> 0:12:55.440
<v Speaker 1>a negative temperature I think would be impossible because we

0:12:55.520 --> 0:12:59.439
<v Speaker 1>are made up of water and that water would freeze

0:13:00.320 --> 0:13:03.000
<v Speaker 1>if it was a negative temperature, meaning we wouldn't be

0:13:03.000 --> 0:13:05.760
<v Speaker 1>able to be alive. Um, blood would not be able

0:13:05.800 --> 0:13:09.440
<v Speaker 1>to move, our heart couldn't beat, and things like that. Mmm. Okay,

0:13:09.720 --> 0:13:14.160
<v Speaker 1>a lot of negative responses, not a lot of positive yeses. No,

0:13:14.360 --> 0:13:16.760
<v Speaker 1>not a lot of believers in negative temperature, but some

0:13:16.880 --> 0:13:19.840
<v Speaker 1>good creative answers you think they should have been more positive,

0:13:19.920 --> 0:13:23.040
<v Speaker 1>like yes, maybe it can. I believe in your universe.

0:13:23.400 --> 0:13:26.400
<v Speaker 1>You're beautiful. I think that they should have had more

0:13:26.480 --> 0:13:29.640
<v Speaker 1>faith in physicists to break the rules and think outside

0:13:29.679 --> 0:13:32.520
<v Speaker 1>the bounds of what is normally possible. It should have

0:13:32.520 --> 0:13:35.480
<v Speaker 1>been more temperature positive that it can be negative exactly

0:13:35.520 --> 0:13:37.360
<v Speaker 1>because you know, the history of physics is littered with

0:13:37.440 --> 0:13:40.600
<v Speaker 1>examples of doing things that we thought were once impossible,

0:13:40.679 --> 0:13:43.079
<v Speaker 1>of discovering the universe works in a way different from

0:13:43.120 --> 0:13:46.200
<v Speaker 1>the way that we had imagined, of breaking the rules

0:13:46.240 --> 0:13:49.000
<v Speaker 1>that we once thought were iron clad. Are you saying

0:13:49.040 --> 0:13:52.000
<v Speaker 1>physicists just basically do things and they're like, you have

0:13:52.080 --> 0:13:54.160
<v Speaker 1>some kind of chip on your shoulder, Hey, Daniel, I

0:13:54.240 --> 0:13:57.160
<v Speaker 1>dare you to understand the universe. I think it's exciting

0:13:57.200 --> 0:14:01.600
<v Speaker 1>to imagine what's impossible might be possible, to think about it.

0:14:01.600 --> 0:14:04.160
<v Speaker 1>You know, that's the job of science fiction authors to think,

0:14:04.520 --> 0:14:07.160
<v Speaker 1>could we get to a nearby star faster than the

0:14:07.160 --> 0:14:09.720
<v Speaker 1>speed of light? How might that be possible. It's also

0:14:09.760 --> 0:14:12.040
<v Speaker 1>the job of physicists to think, like, what are the

0:14:12.120 --> 0:14:14.800
<v Speaker 1>actual rules of the universe? Which ones can be broken,

0:14:14.840 --> 0:14:17.360
<v Speaker 1>which ones can be bent, which ones seem like rules

0:14:17.600 --> 0:14:21.280
<v Speaker 1>but only in certain circumstances, and actually aren't fundamentally rules

0:14:21.320 --> 0:14:23.200
<v Speaker 1>at all, although I guess you have to be careful, right,

0:14:23.360 --> 0:14:25.840
<v Speaker 1>Like you don't want to dare a physicist to find

0:14:25.840 --> 0:14:27.880
<v Speaker 1>a way to blow up the world or create a

0:14:27.920 --> 0:14:31.240
<v Speaker 1>black hole in the center of the of our planet. Yeah,

0:14:31.280 --> 0:14:35.320
<v Speaker 1>I think we've tried that already. Actually, I see you

0:14:35.400 --> 0:14:38.160
<v Speaker 1>were there and that what. I guess you gave up?

0:14:38.640 --> 0:14:41.200
<v Speaker 1>You I hope, well, I hope or failed. No, we

0:14:41.240 --> 0:14:43.240
<v Speaker 1>are still trying to create black holes. It's a large

0:14:43.240 --> 0:14:45.800
<v Speaker 1>hager on collider. In fact, we recently turned the collider

0:14:45.880 --> 0:14:48.320
<v Speaker 1>back on a few weeks ago. Oh man, you're not

0:14:48.360 --> 0:14:51.120
<v Speaker 1>gonna give up, are you? You know, just after we

0:14:51.200 --> 0:14:54.080
<v Speaker 1>turned on the collider, the government of the UK collapsed

0:14:54.080 --> 0:14:57.440
<v Speaker 1>and Boris Johnson was forced to resign as Prime minister. Really,

0:14:57.440 --> 0:15:00.440
<v Speaker 1>do you think there's a correlation there. There's definitely a correlation.

0:15:00.440 --> 0:15:02.400
<v Speaker 1>I don't know about causation. We'll have to turn the

0:15:02.400 --> 0:15:04.000
<v Speaker 1>thing on and off a few times and see what

0:15:04.080 --> 0:15:06.400
<v Speaker 1>other governments fall. I think there are other things going

0:15:06.440 --> 0:15:09.040
<v Speaker 1>on besides you switching on the collider, just you know,

0:15:09.400 --> 0:15:12.080
<v Speaker 1>a few things here and on on our world stage.

0:15:12.200 --> 0:15:13.960
<v Speaker 1>I don't know. I don't keep up with politics, man,

0:15:14.080 --> 0:15:17.200
<v Speaker 1>So I see you just flip on the switch. All right, Well,

0:15:17.240 --> 0:15:21.440
<v Speaker 1>this is a fascinating question. Can absolutely temperature go negative?

0:15:21.600 --> 0:15:25.320
<v Speaker 1>Can it be minus something degrees absolute? And so Daniel,

0:15:25.680 --> 0:15:28.280
<v Speaker 1>that is a weird phrase, negative temperature. What does it mean?

0:15:28.400 --> 0:15:31.040
<v Speaker 1>It all comes down to what we mean by temperature.

0:15:31.160 --> 0:15:33.920
<v Speaker 1>And normally when we talk about temperature, we're talking about

0:15:33.920 --> 0:15:36.400
<v Speaker 1>how hot something feels. You know, you touch something it

0:15:36.440 --> 0:15:39.120
<v Speaker 1>feels hot, you touch something it feels cold. You have

0:15:39.160 --> 0:15:42.120
<v Speaker 1>a sense for whether it's hot or cold outside. That's

0:15:42.160 --> 0:15:45.800
<v Speaker 1>about like the energy flow between you and some other object.

0:15:45.920 --> 0:15:48.080
<v Speaker 1>But we also have a concept for like what's going

0:15:48.120 --> 0:15:52.840
<v Speaker 1>on inside, like micro physical picture of why some things

0:15:52.880 --> 0:15:55.200
<v Speaker 1>are hot and some things are cold. What's going on

0:15:55.320 --> 0:15:58.400
<v Speaker 1>inside something that's hot that makes it different from something

0:15:58.640 --> 0:16:01.680
<v Speaker 1>that's cold. And this eco physical picture mostly is about

0:16:01.720 --> 0:16:05.320
<v Speaker 1>like how much the atoms inside are moving, Like if

0:16:05.320 --> 0:16:07.560
<v Speaker 1>they're zooming around a lot and jiggling a lot, if

0:16:07.600 --> 0:16:09.480
<v Speaker 1>they have a lot of energy, then the thing they

0:16:09.520 --> 0:16:12.600
<v Speaker 1>make up feels hot. If they're mostly not moving, they're

0:16:12.600 --> 0:16:15.360
<v Speaker 1>not jiggling or whizzing around, then the thing they make

0:16:15.440 --> 0:16:19.360
<v Speaker 1>up feels cold. Right, And we have ways to measure that, right,

0:16:19.440 --> 0:16:23.040
<v Speaker 1>like we have devices that called thermometer, as you probably

0:16:23.040 --> 0:16:26.320
<v Speaker 1>know that. Can I tell you a little bit about

0:16:26.360 --> 0:16:29.400
<v Speaker 1>that kind of internal moving around of things. Yeah, And

0:16:29.400 --> 0:16:32.120
<v Speaker 1>what's interesting is that thermometer is measure things that are

0:16:32.160 --> 0:16:37.720
<v Speaker 1>related to temperature. None of them actually directly measure temperature itself. Wait,

0:16:37.760 --> 0:16:41.800
<v Speaker 1>what a thermometer does not meter metter temperature? I know

0:16:41.880 --> 0:16:45.160
<v Speaker 1>it's called a thermometer, but it doesn't actually meter thermo.

0:16:45.200 --> 0:16:47.920
<v Speaker 1>I mean, take, for example, the classic bulb thermometer. What

0:16:48.080 --> 0:16:50.000
<v Speaker 1>is it. It's a little pot of liquid with a

0:16:50.080 --> 0:16:52.600
<v Speaker 1>tube above it. And what it's really measuring is the

0:16:52.680 --> 0:16:55.560
<v Speaker 1>volume of the liquid because there's a relationship. As the

0:16:55.640 --> 0:16:59.680
<v Speaker 1>liquid gets hotter, its volume increases and so it climbs

0:16:59.760 --> 0:17:03.400
<v Speaker 1>up that cylinder and so you're not directly measuring temperature.

0:17:03.440 --> 0:17:06.199
<v Speaker 1>You're measuring the volume, which is you think related to

0:17:06.359 --> 0:17:09.280
<v Speaker 1>the temperature. Right. It's like those glass tubes with the

0:17:09.320 --> 0:17:12.080
<v Speaker 1>little red line. What's actually happening is that when you

0:17:12.320 --> 0:17:15.000
<v Speaker 1>stick it into like let's say, boiling water, it heats

0:17:15.040 --> 0:17:17.119
<v Speaker 1>up the little red liquid and it expands. And then

0:17:17.240 --> 0:17:20.000
<v Speaker 1>the more it expands, I guess, the hotter the water was.

0:17:20.080 --> 0:17:22.399
<v Speaker 1>But you're saying it's not actually measuring the temperature of

0:17:22.440 --> 0:17:25.480
<v Speaker 1>the water. No, it's measuring the volume of that little

0:17:25.480 --> 0:17:28.600
<v Speaker 1>red liquid inside the thermometer, which of course is related

0:17:28.640 --> 0:17:31.560
<v Speaker 1>to temperature, but it's indirect, right. There are other ways

0:17:31.600 --> 0:17:34.199
<v Speaker 1>that are also indirect that you can measure temperature, like

0:17:34.280 --> 0:17:36.400
<v Speaker 1>the thermostat in your house, the one that decides whether

0:17:36.440 --> 0:17:38.840
<v Speaker 1>or not to turn on the air conditioning, that doesn't

0:17:38.880 --> 0:17:41.160
<v Speaker 1>have a little ball of liquid in it. It has

0:17:41.320 --> 0:17:45.119
<v Speaker 1>something called a bimetallic strip. It has two kinds of

0:17:45.160 --> 0:17:48.199
<v Speaker 1>metal bonded together, and the two kinds of metal have

0:17:48.320 --> 0:17:51.920
<v Speaker 1>different properties. One of them expands faster when the heat

0:17:52.000 --> 0:17:54.680
<v Speaker 1>up than the other one. So if the metallic strip

0:17:54.760 --> 0:17:57.080
<v Speaker 1>heats up, then it tends to bend in one direction

0:17:57.119 --> 0:17:59.560
<v Speaker 1>because half of it is expanding faster than the other one,

0:17:59.680 --> 0:18:02.160
<v Speaker 1>and then like closes some circuit and decides to turn

0:18:02.200 --> 0:18:04.960
<v Speaker 1>on your air conditioning. So that's measuring the bending of

0:18:05.000 --> 0:18:07.720
<v Speaker 1>this piece of metal, which again is related to the temperature,

0:18:07.800 --> 0:18:11.080
<v Speaker 1>but it's one step indirect, right. Well, I mean, maybe

0:18:11.080 --> 0:18:12.800
<v Speaker 1>it depends on what you mean by measure, but it

0:18:13.359 --> 0:18:17.200
<v Speaker 1>does sort of measure the temperature of the metallic strip, right,

0:18:17.359 --> 0:18:20.399
<v Speaker 1>which is I guess related to the temperature of the

0:18:20.440 --> 0:18:22.840
<v Speaker 1>air around it. Yeah, I mean it's measuring the bending

0:18:22.840 --> 0:18:26.479
<v Speaker 1>of the metallic strip, which is related to the temperature. Right, Like,

0:18:26.680 --> 0:18:29.720
<v Speaker 1>how would you actually measure the temperature directly? You'd have

0:18:29.760 --> 0:18:33.720
<v Speaker 1>to go, like measure the velocity of those particles themselves

0:18:34.080 --> 0:18:36.800
<v Speaker 1>inside the object, how much they're wiggling, and that would

0:18:36.800 --> 0:18:39.959
<v Speaker 1>tell you the temperature. Instead, you're measuring something which is

0:18:40.040 --> 0:18:44.280
<v Speaker 1>determined by that property. So, I mean, I'm not criticizing thermometers.

0:18:44.320 --> 0:18:46.240
<v Speaker 1>I'm not saying the whole thing is a hoax. Right,

0:18:46.280 --> 0:18:51.439
<v Speaker 1>it's not a scam. Are you anti thermometer? I'm grow thermometer.

0:18:51.800 --> 0:18:54.399
<v Speaker 1>You're saying it's all a big pharma conspiracy. No, But

0:18:54.440 --> 0:18:57.000
<v Speaker 1>if we're going to think carefully about what temperature means,

0:18:57.080 --> 0:19:00.080
<v Speaker 1>and let's think about what our devices are actually measuring,

0:19:00.359 --> 0:19:03.680
<v Speaker 1>what they're really probing, and not just what numbers they're

0:19:03.680 --> 0:19:05.960
<v Speaker 1>reading out, maybe we should have a disclaimer. You know,

0:19:06.280 --> 0:19:08.280
<v Speaker 1>you should trust your thermometer. If it says you have

0:19:08.280 --> 0:19:11.360
<v Speaker 1>a hundred and six degray fever, maybe you should call

0:19:11.400 --> 0:19:14.520
<v Speaker 1>a doctor. Yeah, I'm not a thermometer denier or anything

0:19:14.560 --> 0:19:19.639
<v Speaker 1>like that. You're a temperature denier. No, I'm not like

0:19:19.680 --> 0:19:22.360
<v Speaker 1>that guy who says birds aren't real. All right, Well,

0:19:22.400 --> 0:19:25.520
<v Speaker 1>that that so what you're saying. Usually we measure things

0:19:25.800 --> 0:19:28.440
<v Speaker 1>like the effects of temperature and not maybe what we

0:19:28.560 --> 0:19:31.320
<v Speaker 1>define temperature to be exactly. Yeah, that's right, But we

0:19:31.359 --> 0:19:33.480
<v Speaker 1>do have a model again for what temperature is. We

0:19:33.520 --> 0:19:36.479
<v Speaker 1>imagine that what's going on inside that liquid or inside

0:19:36.520 --> 0:19:38.440
<v Speaker 1>the metal is that they're made of atoms, and those

0:19:38.440 --> 0:19:41.520
<v Speaker 1>atoms wiggle and move or they fly around or they

0:19:41.560 --> 0:19:44.399
<v Speaker 1>flow around, and the degree of that motion is we

0:19:44.480 --> 0:19:46.960
<v Speaker 1>usually what we talk about for temperature, but this is

0:19:47.000 --> 0:19:50.280
<v Speaker 1>a model of temperature. We call this the kinetic model

0:19:50.400 --> 0:19:53.480
<v Speaker 1>of temperature. Is this idea that something is hot when

0:19:53.480 --> 0:19:56.280
<v Speaker 1>the atoms inside of it have more kinetic energy, and

0:19:56.320 --> 0:19:58.480
<v Speaker 1>something is cold when the atoms inside of it have

0:19:58.720 --> 0:20:01.440
<v Speaker 1>less kinetic energy. And it's not just motion, like, it's

0:20:01.440 --> 0:20:04.600
<v Speaker 1>not just velocity. You can also have spinning and vibrating

0:20:04.640 --> 0:20:06.840
<v Speaker 1>and all this kind of stuff, And so it's related

0:20:06.880 --> 0:20:09.960
<v Speaker 1>to this idea of kinetic energy, right, how fast things

0:20:09.960 --> 0:20:12.959
<v Speaker 1>are moving. So from that perspective, you might imagine like

0:20:13.280 --> 0:20:16.800
<v Speaker 1>if temperature is related to kinetic energy, or kinetic energy

0:20:17.119 --> 0:20:20.480
<v Speaker 1>is either zero or more than zero, so how could

0:20:20.480 --> 0:20:23.320
<v Speaker 1>you possibly have negative temperature? Right? It seems like that

0:20:23.359 --> 0:20:27.360
<v Speaker 1>should tell you that temperature is zero or above zero, right,

0:20:27.400 --> 0:20:29.560
<v Speaker 1>because you're saying it's sort of a measure of the

0:20:29.680 --> 0:20:32.920
<v Speaker 1>I guess the average kinetic energy of of something, And

0:20:33.080 --> 0:20:35.679
<v Speaker 1>I guess if it's air, you're measuring the kinetic energy

0:20:35.880 --> 0:20:39.480
<v Speaker 1>of the air particles flying around. Those have kinetic energy.

0:20:39.520 --> 0:20:41.320
<v Speaker 1>But if it's like a block of wood or a

0:20:41.359 --> 0:20:44.240
<v Speaker 1>block of metal, then I guess the atoms aren't moving around,

0:20:44.240 --> 0:20:46.960
<v Speaker 1>but they're still vibrating and bumping against each other. Right,

0:20:47.040 --> 0:20:48.879
<v Speaker 1>And so you if you kind of were to measure

0:20:48.880 --> 0:20:52.280
<v Speaker 1>all of those particles and take the average velocity and

0:20:52.359 --> 0:20:54.840
<v Speaker 1>I guess squared it and all that, then you would

0:20:55.400 --> 0:20:58.080
<v Speaker 1>get the temperature. Yeah, And there's some mathematics you can

0:20:58.080 --> 0:21:00.880
<v Speaker 1>look up about exactly how tempered sure is defined based

0:21:00.880 --> 0:21:03.040
<v Speaker 1>on the number of degrees of freedom, the number of

0:21:03.040 --> 0:21:05.440
<v Speaker 1>ways you can move or wiggle and all this kind

0:21:05.440 --> 0:21:07.920
<v Speaker 1>of stuff. But that's the basic idea for your classic

0:21:07.960 --> 0:21:11.600
<v Speaker 1>definition of temperature. Right, average energy, and in fact, kinetic

0:21:11.680 --> 0:21:15.840
<v Speaker 1>energy you calculated by squaring the velocity of something, right,

0:21:16.320 --> 0:21:19.199
<v Speaker 1>which means that it should always be positive. Yeah, kinetic

0:21:19.320 --> 0:21:22.080
<v Speaker 1>energy is always positive, right, unless I guess you have

0:21:22.359 --> 0:21:28.199
<v Speaker 1>imaginary energy. Unless I imaginary velocity like I imagined I

0:21:28.200 --> 0:21:30.960
<v Speaker 1>went to the post office today, but I didn't because

0:21:31.000 --> 0:21:33.280
<v Speaker 1>he had negative energy because I didn't eat enough dessert

0:21:33.320 --> 0:21:35.359
<v Speaker 1>in the desert to fuel my trip. There you go,

0:21:35.680 --> 0:21:39.199
<v Speaker 1>easy solution. All right, Well, let's get into what exactly

0:21:39.359 --> 0:21:42.800
<v Speaker 1>is temperature, whether that definition of temperature as kinect energy

0:21:43.080 --> 0:21:46.360
<v Speaker 1>makes sense, and whether or not it's possible for it

0:21:46.440 --> 0:21:59.280
<v Speaker 1>to be negative. But first, let's take a quick break

0:22:01.560 --> 0:22:04.320
<v Speaker 1>or I we're asking a pretty trippy question, which is

0:22:04.560 --> 0:22:08.919
<v Speaker 1>can you have negative absolute temperature? Which is sort of

0:22:09.160 --> 0:22:12.639
<v Speaker 1>an oxymoron, right, negative absolute because absolute usually means it

0:22:12.680 --> 0:22:15.719
<v Speaker 1>can only be positive. Mm. Yeah, it's a pretty psycho

0:22:15.840 --> 0:22:19.159
<v Speaker 1>kind of idea negative temperature, and it really gets at

0:22:19.160 --> 0:22:22.359
<v Speaker 1>the heart of this question, like what is temperature anyway?

0:22:22.880 --> 0:22:25.360
<v Speaker 1>You know, which we talked about several times on the podcast,

0:22:25.480 --> 0:22:28.040
<v Speaker 1>because it's kind of a slippery idea. Yeah, and I

0:22:28.040 --> 0:22:30.200
<v Speaker 1>know you sort of hate talking about it, right, you

0:22:30.280 --> 0:22:32.720
<v Speaker 1>know you're not a fan of thermodynamics. Wait, is it

0:22:32.760 --> 0:22:36.040
<v Speaker 1>because you're a thermodenier? Is it? It's all making sense now,

0:22:37.400 --> 0:22:41.639
<v Speaker 1>it's because it's complicated, and thermodynamics involves like thousands and

0:22:41.720 --> 0:22:45.000
<v Speaker 1>thousands or millions or billions of particles. I like thinking

0:22:45.040 --> 0:22:48.280
<v Speaker 1>about individual particles bouncing off each other, really reducing the

0:22:48.359 --> 0:22:51.119
<v Speaker 1>universe down to the simplest little bits and their rules.

0:22:51.160 --> 0:22:54.400
<v Speaker 1>It's hard to think about swarms, you know, Right, does

0:22:54.400 --> 0:22:59.640
<v Speaker 1>that mean you're antidemocracy, Daniel, I don't pay attention to politics,

0:22:59.720 --> 0:23:02.560
<v Speaker 1>right the official line. Oh, that's right, we forgot form.

0:23:03.080 --> 0:23:06.200
<v Speaker 1>We established that earlier. Yeah, it kind of gets into

0:23:06.200 --> 0:23:08.639
<v Speaker 1>the question of what is temperature anyway, Like is it

0:23:08.720 --> 0:23:11.399
<v Speaker 1>really the kinetic energy of the particles inside of it?

0:23:11.440 --> 0:23:13.480
<v Speaker 1>And what does that even mean? It is really interesting

0:23:13.560 --> 0:23:15.800
<v Speaker 1>question and we talked about it several times. Even in

0:23:15.840 --> 0:23:19.080
<v Speaker 1>this idea of temperature as like the kinetic energy of particles,

0:23:19.400 --> 0:23:22.639
<v Speaker 1>you can ask weird questions like what's the kinetic energy

0:23:22.680 --> 0:23:26.399
<v Speaker 1>of one particle? Can a single particle have kinetic energy? Well,

0:23:26.440 --> 0:23:28.960
<v Speaker 1>a single particle can, right, You're wondering if it can

0:23:29.000 --> 0:23:32.200
<v Speaker 1>have temperature? Yes, can a single particle have temperature because

0:23:32.200 --> 0:23:34.720
<v Speaker 1>it can have kinetic energy. And that sort of shows

0:23:34.760 --> 0:23:37.840
<v Speaker 1>you something about the limits of this idea of temperature

0:23:37.880 --> 0:23:41.600
<v Speaker 1>as kinetic energy, because we mean more by temperature than

0:23:41.720 --> 0:23:44.440
<v Speaker 1>just like how much energy is in something. We also

0:23:44.520 --> 0:23:47.359
<v Speaker 1>mean something about how heat flows. Right, we have this

0:23:47.480 --> 0:23:50.600
<v Speaker 1>intuitive experience that we want to somehow describe as if

0:23:50.600 --> 0:23:53.120
<v Speaker 1>you put like a block of ice in your coffee,

0:23:53.480 --> 0:23:55.720
<v Speaker 1>then the ice will melt, right because the heat will

0:23:55.760 --> 0:23:58.919
<v Speaker 1>flow from the coffee to the ice cube. So temperature

0:23:58.960 --> 0:24:01.480
<v Speaker 1>is also about how how heat flows. He tends to

0:24:01.480 --> 0:24:04.280
<v Speaker 1>flow from hot things too cold things, So when we

0:24:04.320 --> 0:24:07.600
<v Speaker 1>define temperature, we also want this idea of heat flow.

0:24:07.880 --> 0:24:09.600
<v Speaker 1>But I guess you're saying there's some sort of tension

0:24:09.640 --> 0:24:13.600
<v Speaker 1>between our intuitive understanding of temperature and maybe the official

0:24:13.680 --> 0:24:16.040
<v Speaker 1>physics definition of it, because I guess you know, we

0:24:16.119 --> 0:24:18.080
<v Speaker 1>talked about the hottest things in the universe, and one

0:24:18.080 --> 0:24:19.919
<v Speaker 1>of the hottest things in the universe is is kind

0:24:19.960 --> 0:24:23.159
<v Speaker 1>of empty space, right, or at least mostly empty space,

0:24:23.200 --> 0:24:25.840
<v Speaker 1>because it's mostly empty, there's not much in it, but

0:24:25.880 --> 0:24:28.560
<v Speaker 1>there are particles in it that are moving really fast,

0:24:28.600 --> 0:24:32.040
<v Speaker 1>and so it does technically have a high temperature empty space.

0:24:32.040 --> 0:24:34.400
<v Speaker 1>But if you were there, you would freeze, And so

0:24:34.560 --> 0:24:36.240
<v Speaker 1>that I think that's what you're saying, is that, like, well,

0:24:36.280 --> 0:24:38.160
<v Speaker 1>that's kind of kind of intuitive. How can I freeze

0:24:38.200 --> 0:24:39.800
<v Speaker 1>if it's one of the hottest things in the universe,

0:24:39.840 --> 0:24:41.440
<v Speaker 1>And so it kind of makes your brain pop a

0:24:41.520 --> 0:24:43.520
<v Speaker 1>little bit. Yeah, out in the middle of empty space.

0:24:43.560 --> 0:24:46.320
<v Speaker 1>There are very fast moving particles, but not very many

0:24:46.440 --> 0:24:49.080
<v Speaker 1>of them. So if you went into empty space, those

0:24:49.080 --> 0:24:52.040
<v Speaker 1>particles would give you energy, but you'd be losing energy

0:24:52.119 --> 0:24:54.840
<v Speaker 1>more quickly than you beginning energy because you'd be readiating

0:24:54.880 --> 0:24:58.120
<v Speaker 1>it out into spaces. You would freeze. That's counterintuitive. There's

0:24:58.119 --> 0:25:00.840
<v Speaker 1>another idea here, though, which is the idea of equilibrium.

0:25:00.920 --> 0:25:03.840
<v Speaker 1>We talk about temperature in terms of many particles rather

0:25:03.840 --> 0:25:07.040
<v Speaker 1>than a single particle, because temperature really is about like

0:25:07.320 --> 0:25:10.600
<v Speaker 1>an object in equilibrium, it's like settled. It's a statement

0:25:10.640 --> 0:25:14.159
<v Speaker 1>about many many things. It's an emergent property, not the

0:25:14.240 --> 0:25:16.960
<v Speaker 1>property of an individual object. The way, for example, like

0:25:17.240 --> 0:25:19.879
<v Speaker 1>um the cost of something, the value of something is

0:25:19.920 --> 0:25:22.679
<v Speaker 1>an emergent property of the market. You can say I'm

0:25:22.680 --> 0:25:25.480
<v Speaker 1>gonna make some piece of art and I'm gonna claim

0:25:25.640 --> 0:25:27.920
<v Speaker 1>it's worth a billion dollars. Well, if you can only

0:25:27.920 --> 0:25:30.520
<v Speaker 1>sell it for seventy four dollars, then what is its value.

0:25:30.520 --> 0:25:34.080
<v Speaker 1>It's value really is seventy four dollars. So the value

0:25:34.119 --> 0:25:36.199
<v Speaker 1>of your art is really determined sort of by like

0:25:36.359 --> 0:25:38.520
<v Speaker 1>the market price for what is willing to bear. In

0:25:38.520 --> 0:25:41.040
<v Speaker 1>the same way, temperature isn't really the property of a particle.

0:25:41.160 --> 0:25:43.960
<v Speaker 1>It's like the property of a system of objects. It's

0:25:44.000 --> 0:25:47.280
<v Speaker 1>an average emergent quantity. Well, are you saying that that's

0:25:47.359 --> 0:25:50.200
<v Speaker 1>one way to measure temperature, because right before you said

0:25:50.200 --> 0:25:52.840
<v Speaker 1>that you can calculate it as the average kinetic energy

0:25:52.920 --> 0:25:55.359
<v Speaker 1>of the particles inside of something. Yeah, but you can't

0:25:55.359 --> 0:25:57.920
<v Speaker 1>define a temperature for a single particle. Even for this

0:25:58.000 --> 0:26:00.560
<v Speaker 1>kinetic theory of temperature, you can't define temperature for a

0:26:00.560 --> 0:26:03.919
<v Speaker 1>single particle. It has to do more with equilibrium sets

0:26:03.920 --> 0:26:06.960
<v Speaker 1>of particles. But what if I have empty space and

0:26:06.960 --> 0:26:09.760
<v Speaker 1>there's only one particle in it, within the kinetic energy

0:26:09.800 --> 0:26:13.280
<v Speaker 1>of that particle basically define the temperature of that empty space. Well,

0:26:13.320 --> 0:26:14.919
<v Speaker 1>in the same way that like if you are the

0:26:14.960 --> 0:26:17.200
<v Speaker 1>only person in the world and you create some art

0:26:17.240 --> 0:26:19.640
<v Speaker 1>and you say it's worth a billion dollars, you're defining

0:26:19.680 --> 0:26:21.439
<v Speaker 1>the value of that. You can't really sell it for

0:26:21.480 --> 0:26:24.800
<v Speaker 1>a billion dollars. Is nobody else in that universe. So

0:26:24.880 --> 0:26:27.359
<v Speaker 1>in that same way, like a single particle doesn't really

0:26:27.400 --> 0:26:29.960
<v Speaker 1>have a temperature. I guess I'm not sure what you're

0:26:29.960 --> 0:26:33.440
<v Speaker 1>saying that our definition of particle temperature doesn't make sense.

0:26:33.480 --> 0:26:35.400
<v Speaker 1>Is that what you're saying or that it breaks down. Yeah,

0:26:35.400 --> 0:26:38.359
<v Speaker 1>it breaks down. It breaks down intuitively or an actual

0:26:38.400 --> 0:26:41.080
<v Speaker 1>like math. I guess it breaks down intuitively, not an

0:26:41.080 --> 0:26:43.800
<v Speaker 1>actual math. I mean an individual particle can hit an

0:26:43.840 --> 0:26:47.120
<v Speaker 1>object and deposit its energy, right, that can happen. There's

0:26:47.119 --> 0:26:50.359
<v Speaker 1>no problem there. We can calculate how that happens. But

0:26:50.359 --> 0:26:52.240
<v Speaker 1>that doesn't mean that we can talk about the temperature

0:26:52.320 --> 0:26:55.959
<v Speaker 1>of this object. Temperature, in the end is a macroscopic quantities,

0:26:56.040 --> 0:27:00.240
<v Speaker 1>not a microscopic quantity. It emerges the way like consciousness does.

0:27:00.320 --> 0:27:03.120
<v Speaker 1>Like can you say that an individual neuron in your

0:27:03.119 --> 0:27:06.760
<v Speaker 1>brain is conscious? No, but somehow they come together to

0:27:06.840 --> 0:27:09.960
<v Speaker 1>make your brain self aware. Not a process we understand,

0:27:10.000 --> 0:27:13.399
<v Speaker 1>but individual neurons we don't think are self aware in

0:27:13.440 --> 0:27:16.040
<v Speaker 1>the same way, like a particle doesn't have a temperature,

0:27:16.080 --> 0:27:18.440
<v Speaker 1>and so it's a little bit slippery because temperature is

0:27:18.440 --> 0:27:20.840
<v Speaker 1>is like intuitive thing we want to describe and not

0:27:21.040 --> 0:27:24.679
<v Speaker 1>something hard and fixed about individual particles. Oh okay, So

0:27:24.720 --> 0:27:27.040
<v Speaker 1>I think what you're saying is that our intuitive sense

0:27:27.040 --> 0:27:29.800
<v Speaker 1>of what temperature is and the official physics definition of

0:27:29.840 --> 0:27:32.639
<v Speaker 1>what temperature is kind of matches up or makes sense.

0:27:32.720 --> 0:27:34.920
<v Speaker 1>If you have a lot of particles in something or

0:27:35.080 --> 0:27:38.320
<v Speaker 1>something is dense. But in some of these extreme cases,

0:27:38.359 --> 0:27:41.040
<v Speaker 1>like if you're down to one particle in empty space,

0:27:41.119 --> 0:27:44.439
<v Speaker 1>then our intuitive definition and the official definition sort of

0:27:44.480 --> 0:27:48.800
<v Speaker 1>like start to diverge or don't start to match well together. Yeah,

0:27:48.880 --> 0:27:51.320
<v Speaker 1>that's right. And to make it even more confusing, we

0:27:51.400 --> 0:27:55.359
<v Speaker 1>have more than one official definition of temperature. Like we

0:27:55.400 --> 0:27:57.440
<v Speaker 1>have one definition of temperature, which is what we talked

0:27:57.440 --> 0:28:01.480
<v Speaker 1>about earlier, related to the average kinetic energy of the particles,

0:28:01.480 --> 0:28:05.200
<v Speaker 1>But we have another completely separate definition of temperature. Wait,

0:28:05.280 --> 0:28:08.320
<v Speaker 1>what we have a second definition of temperature? We do.

0:28:08.359 --> 0:28:12.159
<v Speaker 1>We have a thermodynamic definition of temperature. So one earlier

0:28:12.200 --> 0:28:15.199
<v Speaker 1>we call that the kinetic theory of temperature relates to

0:28:15.200 --> 0:28:17.680
<v Speaker 1>the motion of the particles. Now we have another one

0:28:17.960 --> 0:28:21.840
<v Speaker 1>thermodynamic definition, which is about how heat flows. This one

0:28:21.880 --> 0:28:24.520
<v Speaker 1>comes from the observation that heat flows from hot things

0:28:24.560 --> 0:28:27.120
<v Speaker 1>too cold things, and so this one tries to build

0:28:27.119 --> 0:28:30.040
<v Speaker 1>a definition of temperature that says if two things are

0:28:30.080 --> 0:28:33.159
<v Speaker 1>at the same temperature, no heat flows between them. And

0:28:33.200 --> 0:28:34.959
<v Speaker 1>if one thing is a higher temperature and the other

0:28:34.960 --> 0:28:36.879
<v Speaker 1>one has a lower temperature, he will flow from the

0:28:36.920 --> 0:28:39.600
<v Speaker 1>higher temperature thing to the lower temperature thing. So trust

0:28:39.640 --> 0:28:43.080
<v Speaker 1>to build a theory of temperature that matches that experience.

0:28:43.800 --> 0:28:45.480
<v Speaker 1>And I see you're saying, like it's a different way

0:28:45.480 --> 0:28:48.840
<v Speaker 1>to basically think about temperature, Like temperature is not. Maybe

0:28:48.840 --> 0:28:51.280
<v Speaker 1>the kinetic energy of the particles is just kind of

0:28:51.280 --> 0:28:54.760
<v Speaker 1>like a relative property or relative quantity, Like you know,

0:28:54.840 --> 0:28:57.680
<v Speaker 1>something has more temperature than something else. If the heat

0:28:57.720 --> 0:28:59.560
<v Speaker 1>flows from the first thing to the second thing. That's

0:28:59.560 --> 0:29:02.280
<v Speaker 1>gonna saying, I guess zero would be if heat can't

0:29:02.360 --> 0:29:05.440
<v Speaker 1>flow from this thing to anything, then it must be

0:29:05.440 --> 0:29:07.440
<v Speaker 1>at zero. That's kind of what you're saying, like, let's

0:29:07.480 --> 0:29:09.840
<v Speaker 1>measure zero to be that exactly, And so then you

0:29:09.880 --> 0:29:13.320
<v Speaker 1>can come up with a new mathematical expression or how

0:29:13.360 --> 0:29:16.960
<v Speaker 1>to measure this other idea of temperature, thermodynamic temperature in

0:29:17.000 --> 0:29:19.240
<v Speaker 1>the same way that for the kinetic theory. You can say, oh,

0:29:19.280 --> 0:29:21.280
<v Speaker 1>it's about the motion of the particles, and then you

0:29:21.320 --> 0:29:22.800
<v Speaker 1>can go and write the math and say, here's the

0:29:22.840 --> 0:29:25.480
<v Speaker 1>kinetic energy and vibrational energy, and I can actually calculate

0:29:25.520 --> 0:29:27.720
<v Speaker 1>and constructed. In that same way, you can write down

0:29:27.760 --> 0:29:32.959
<v Speaker 1>mathematical expressions for thermodynamic temperature, and they relate to entropy

0:29:33.120 --> 0:29:36.600
<v Speaker 1>into energy and they help you understand like why heat

0:29:36.680 --> 0:29:39.280
<v Speaker 1>flows from hot things to cold things. So it gives

0:29:39.280 --> 0:29:43.200
<v Speaker 1>you a really interesting thermodynamic insight into like why these

0:29:43.200 --> 0:29:45.840
<v Speaker 1>things happen. But is that really sort of different in

0:29:45.920 --> 0:29:49.240
<v Speaker 1>the kinetic I guess view of things, because I imagine

0:29:49.280 --> 0:29:51.440
<v Speaker 1>if you have something where all the particles are moving

0:29:51.480 --> 0:29:54.160
<v Speaker 1>a lot that would be hot, and something that's not

0:29:54.240 --> 0:29:56.440
<v Speaker 1>moving a lot that would be cold, and you put

0:29:56.440 --> 0:29:58.680
<v Speaker 1>it together, the moving things would you know, bump up

0:29:58.680 --> 0:30:00.960
<v Speaker 1>against the other things. And that's why that's what kind

0:30:00.960 --> 0:30:03.040
<v Speaker 1>of what heat flow is. It's like the energy of

0:30:03.520 --> 0:30:05.040
<v Speaker 1>one thing going to the other. Most of the time,

0:30:05.080 --> 0:30:07.960
<v Speaker 1>these two definitions agree about what temperature is and also

0:30:08.160 --> 0:30:11.800
<v Speaker 1>how energy flows from hot things too cold things. So

0:30:11.880 --> 0:30:15.360
<v Speaker 1>in many scenarios you could use either one. But as

0:30:15.400 --> 0:30:19.280
<v Speaker 1>we'll see, thermodynamic temperature has some weird behaviors in strange

0:30:19.320 --> 0:30:24.480
<v Speaker 1>systems at extremes that might allow the existence of negative temperatures.

0:30:24.520 --> 0:30:26.760
<v Speaker 1>So I guess if you go keep going and keep

0:30:26.800 --> 0:30:30.480
<v Speaker 1>defining temperature in terms of heat flow, then that's when

0:30:30.480 --> 0:30:33.400
<v Speaker 1>you might get into trouble. Yeah, into trouble, or into

0:30:33.400 --> 0:30:37.680
<v Speaker 1>this weird territory where temperature can have non zero negative

0:30:37.760 --> 0:30:40.080
<v Speaker 1>values and like what does that mean? And in the end,

0:30:40.120 --> 0:30:42.960
<v Speaker 1>it reflects something about you know, what temperature means? What

0:30:43.080 --> 0:30:46.600
<v Speaker 1>question are you asking about the universe when you calculate

0:30:46.680 --> 0:30:49.640
<v Speaker 1>this number. So then you're saying this different definition of

0:30:49.680 --> 0:30:54.240
<v Speaker 1>temperature is the thermodynamic version. Uh, and it's related to entropy.

0:30:54.240 --> 0:30:56.800
<v Speaker 1>What does that mean? So thermodynamic temperature tries to give

0:30:56.880 --> 0:30:58.600
<v Speaker 1>us a sense for like why things flow from one

0:30:58.600 --> 0:31:00.080
<v Speaker 1>thing to the other. You know why when you with

0:31:00.200 --> 0:31:02.280
<v Speaker 1>that ice cube in your cup of coffee and you

0:31:02.360 --> 0:31:05.920
<v Speaker 1>come back in an hour, everything is about an even temperature, right,

0:31:05.960 --> 0:31:08.000
<v Speaker 1>why do things like to even out? And the answer

0:31:08.160 --> 0:31:11.120
<v Speaker 1>is entropy. The second law of thermodynamics says that entropy

0:31:11.200 --> 0:31:14.719
<v Speaker 1>always increases. And people sometimes think about entropy is like

0:31:14.840 --> 0:31:18.320
<v Speaker 1>the amount of disorganization in the universe, the messiness in

0:31:18.360 --> 0:31:20.160
<v Speaker 1>the universe, and that you know that works in some

0:31:20.240 --> 0:31:24.120
<v Speaker 1>certain circumstances. But that more accurate description of entropy is

0:31:24.200 --> 0:31:27.160
<v Speaker 1>like how many ways can you arrange something? How many

0:31:27.280 --> 0:31:30.600
<v Speaker 1>different configurations of an object and you have like in

0:31:30.600 --> 0:31:33.920
<v Speaker 1>the different microscopic particles that match, you know, the things

0:31:33.920 --> 0:31:36.400
<v Speaker 1>that you're measuring about it. And a basic concept in

0:31:36.440 --> 0:31:40.760
<v Speaker 1>thermodynamics is that every configuration is equally likely, and so

0:31:40.800 --> 0:31:43.920
<v Speaker 1>if you have some state, some condition that has lots

0:31:43.920 --> 0:31:47.320
<v Speaker 1>of possible ways to achieve it, many possible internal configurations.

0:31:47.560 --> 0:31:50.560
<v Speaker 1>You just more likely to end up in that state. Say,

0:31:50.600 --> 0:31:53.120
<v Speaker 1>for example, you have a bunch of coins and you

0:31:53.200 --> 0:31:55.560
<v Speaker 1>throw them all on the floor, right, how many ways

0:31:55.600 --> 0:31:58.040
<v Speaker 1>are there to get all heads up? There's only one way.

0:31:58.320 --> 0:32:00.240
<v Speaker 1>How many ways are there to get all heads down?

0:32:00.320 --> 0:32:02.400
<v Speaker 1>There's only one way. There's lots of ways to get

0:32:02.400 --> 0:32:05.160
<v Speaker 1>fifty heads up and fifty heads down. So if you

0:32:05.200 --> 0:32:06.960
<v Speaker 1>throw a bunch of coins on the floor, you're much

0:32:06.960 --> 0:32:09.560
<v Speaker 1>more likely to end up in that state. Those states

0:32:09.560 --> 0:32:14.040
<v Speaker 1>have higher entropy, So the universe tend towards these arrangements

0:32:14.040 --> 0:32:16.760
<v Speaker 1>with there's lots of ways, lots of configurations to get

0:32:16.800 --> 0:32:19.640
<v Speaker 1>the same value. So that's what entropy is, right, I

0:32:19.680 --> 0:32:21.600
<v Speaker 1>guess in terms of that, that coffee cup and the

0:32:21.640 --> 0:32:23.800
<v Speaker 1>ice cube, it's almost like you're saying, like, if I

0:32:23.880 --> 0:32:26.640
<v Speaker 1>take some water and I take some coffee, and I

0:32:26.640 --> 0:32:29.320
<v Speaker 1>imagine water and coffee in a cup, it's much more

0:32:29.360 --> 0:32:32.000
<v Speaker 1>likely for it to be all mixed up together in

0:32:32.080 --> 0:32:35.480
<v Speaker 1>the in the tepid temperature, right, then it would be

0:32:35.680 --> 0:32:39.040
<v Speaker 1>likely for all the water to be congregated in one place,

0:32:39.120 --> 0:32:41.640
<v Speaker 1>locked together into an ice cube and then all of

0:32:41.680 --> 0:32:45.239
<v Speaker 1>the coffee to be hot surrounding that blog. That's kind

0:32:45.240 --> 0:32:46.920
<v Speaker 1>of what you're saying. And I think you're saying that

0:32:46.920 --> 0:32:50.920
<v Speaker 1>the melted ice cube, tepid coffee, watery coffee is more

0:32:51.000 --> 0:32:54.120
<v Speaker 1>likely to happen, and therefore it's a state of higher entropy.

0:32:54.320 --> 0:32:57.960
<v Speaker 1>Exactly if you let the energy flow from the hot

0:32:58.000 --> 0:33:01.920
<v Speaker 1>coffee into the ice cube, then opens up more configurations, right,

0:33:01.920 --> 0:33:04.360
<v Speaker 1>You can arrange that in many, many more ways. Now,

0:33:04.520 --> 0:33:07.480
<v Speaker 1>that's why energy flows from hot things too cold things,

0:33:07.600 --> 0:33:10.200
<v Speaker 1>because when it does so, it increases the entropy. It

0:33:10.280 --> 0:33:12.960
<v Speaker 1>opens up the number of ways you can arrange the

0:33:13.080 --> 0:33:16.080
<v Speaker 1>little internal bits, right, But that's not why it does

0:33:16.120 --> 0:33:17.880
<v Speaker 1>it right. I think what you're saying is that's how

0:33:17.920 --> 0:33:20.880
<v Speaker 1>thermodynamic says it. Why does it right? Like, if you

0:33:20.920 --> 0:33:23.000
<v Speaker 1>were to look at it from a totally different perspective,

0:33:23.040 --> 0:33:24.960
<v Speaker 1>you would see the molecules of the eyes and the

0:33:25.000 --> 0:33:27.840
<v Speaker 1>coffee interacting and bumping against against each other, and that's

0:33:27.880 --> 0:33:30.320
<v Speaker 1>why you would say that the heat, the energy goes

0:33:30.360 --> 0:33:32.120
<v Speaker 1>from one place to the other. But if you were

0:33:32.160 --> 0:33:34.479
<v Speaker 1>to put on your thermoid dynamic glasses, you would kind

0:33:34.520 --> 0:33:37.280
<v Speaker 1>of ignore all those interactions. And just say, oh, yeah,

0:33:37.280 --> 0:33:39.600
<v Speaker 1>of course it's because of the entropy that it's going

0:33:39.680 --> 0:33:42.440
<v Speaker 1>up exactly. Yeah. So it's another way to explain it.

0:33:42.440 --> 0:33:45.760
<v Speaker 1>It's like a completely different approach, a different set of ideas,

0:33:46.080 --> 0:33:47.960
<v Speaker 1>and most of the time they predict the same thing.

0:33:48.560 --> 0:33:51.680
<v Speaker 1>And so in this thermodynamic context where you're thinking about

0:33:51.720 --> 0:33:54.840
<v Speaker 1>the energy flow and the entropy, then it's this relationship

0:33:54.880 --> 0:33:58.719
<v Speaker 1>between energy and entropy that tells us what temperature is.

0:33:58.880 --> 0:34:01.240
<v Speaker 1>If two things have this same temperature, then we don't

0:34:01.240 --> 0:34:03.440
<v Speaker 1>want any energy to flow between them. So what we

0:34:03.520 --> 0:34:06.560
<v Speaker 1>want is if two things have the same relationship between

0:34:06.760 --> 0:34:10.600
<v Speaker 1>energy and entropy, then we shouldn't have any more energy flow.

0:34:10.760 --> 0:34:14.080
<v Speaker 1>Like for example, if moving some energy from the ice

0:34:14.120 --> 0:34:17.320
<v Speaker 1>cube to the coffee cup doesn't increase the entropy anymore,

0:34:17.719 --> 0:34:21.080
<v Speaker 1>then energy won't flow. So the definition of temperature for

0:34:21.239 --> 0:34:24.440
<v Speaker 1>thermodynamics doesn't have to do with the kinetic energy objects.

0:34:24.520 --> 0:34:26.879
<v Speaker 1>It has to do with the derivative of energy with

0:34:26.960 --> 0:34:30.520
<v Speaker 1>respect to entropy. How the energy and entropy are related

0:34:30.560 --> 0:34:32.799
<v Speaker 1>to each other. I feel like you're saying that maybe

0:34:32.880 --> 0:34:35.440
<v Speaker 1>temperature is relative if you look at it from a

0:34:35.480 --> 0:34:37.839
<v Speaker 1>thermodynamic point of view. And so let's get dig into

0:34:37.880 --> 0:34:42.120
<v Speaker 1>this connection between energy, heat and temperature and entropy. But first,

0:34:42.160 --> 0:34:57.480
<v Speaker 1>let's take another quick break. All right, we are getting

0:34:57.560 --> 0:35:02.000
<v Speaker 1>hot and heavy here talking about possibly negative temperature. Can

0:35:02.040 --> 0:35:06.000
<v Speaker 1>you have negative absolute temperature? And it may be possible

0:35:06.080 --> 0:35:08.600
<v Speaker 1>depends on how you define temperature. I guess most people

0:35:08.640 --> 0:35:10.719
<v Speaker 1>know that, right, Like, if you define temperature in terms

0:35:10.719 --> 0:35:13.239
<v Speaker 1>of fahrenheit, then yeah, you can have negative temperature or

0:35:13.239 --> 0:35:15.600
<v Speaker 1>itself as you think, yeah, you can have negative temperature,

0:35:15.600 --> 0:35:19.040
<v Speaker 1>but you're saying this is something more fundamental, like maybe, um,

0:35:19.080 --> 0:35:22.680
<v Speaker 1>the universe can allow negative absolute temperature. Yeah, and it

0:35:22.719 --> 0:35:24.360
<v Speaker 1>goes to the heart of this question, or like what

0:35:24.400 --> 0:35:27.120
<v Speaker 1>do we mean by temperature anyway? And you know, we

0:35:27.200 --> 0:35:29.680
<v Speaker 1>define these things to describe our experience and then we

0:35:29.719 --> 0:35:32.319
<v Speaker 1>explore their extreme to say where does this break down?

0:35:32.360 --> 0:35:35.400
<v Speaker 1>Does this really make sense? This is something that's universal

0:35:35.640 --> 0:35:38.840
<v Speaker 1>or only something that's useful in certain contexts. So we

0:35:38.880 --> 0:35:42.520
<v Speaker 1>came up with this idea of thermodynamic temperature that basically

0:35:42.520 --> 0:35:46.320
<v Speaker 1>tells you how energy flows around to maximize entropy. The

0:35:46.400 --> 0:35:49.400
<v Speaker 1>two things have the same temperature, then we don't expect

0:35:49.480 --> 0:35:51.440
<v Speaker 1>energy to flow between them. And you know, you can

0:35:51.480 --> 0:35:53.480
<v Speaker 1>have two things that are very different. One thing could

0:35:53.520 --> 0:35:56.600
<v Speaker 1>have a lot more capacity for different configurations than the

0:35:56.640 --> 0:35:59.160
<v Speaker 1>other one, and whether energy flows from one object to

0:35:59.200 --> 0:36:01.719
<v Speaker 1>another depend on like are you going to increase the

0:36:01.840 --> 0:36:05.120
<v Speaker 1>entropy by moving that energy along? And so it is

0:36:05.160 --> 0:36:08.960
<v Speaker 1>this relationship between energy and entropy that is the thermodynamic

0:36:09.000 --> 0:36:12.839
<v Speaker 1>definition of temperature. Technically, it's the derivative of energy with

0:36:12.920 --> 0:36:16.680
<v Speaker 1>respect to entropy. So do you increase the energy as

0:36:16.840 --> 0:36:20.280
<v Speaker 1>entropy increases? That's the temperature I see, And I guess

0:36:20.280 --> 0:36:23.960
<v Speaker 1>maybe my question is why would you do that? Why

0:36:23.960 --> 0:36:26.080
<v Speaker 1>would you define it this way? Is it because it

0:36:26.160 --> 0:36:29.759
<v Speaker 1>matches usually with our other definition of temperature, or like

0:36:29.800 --> 0:36:32.439
<v Speaker 1>why would you call this temperature? Also, it's a totally

0:36:32.480 --> 0:36:34.880
<v Speaker 1>different approach, and it's the macroscopic approach, and it has

0:36:34.920 --> 0:36:39.600
<v Speaker 1>some advantages. You know. The microscopic one is weirdly time invariant.

0:36:39.719 --> 0:36:42.520
<v Speaker 1>The laws of physics governing how things bounce against each other,

0:36:42.600 --> 0:36:45.960
<v Speaker 1>those look the same forward and backwards, and so it's

0:36:45.960 --> 0:36:48.960
<v Speaker 1>hard to go from like a microscopic picture of atoms

0:36:49.000 --> 0:36:51.680
<v Speaker 1>as like little balls, to an understanding of how a

0:36:51.760 --> 0:36:55.840
<v Speaker 1>state evolves forward in time with entropy. It's complicated to

0:36:55.880 --> 0:36:58.000
<v Speaker 1>go from one to the other. This is a picture

0:36:58.000 --> 0:37:02.200
<v Speaker 1>of thermodynamics that deals directly with macroscopic quantities. It says, look,

0:37:02.320 --> 0:37:04.760
<v Speaker 1>these are the things we can measure, the entropy, the energy,

0:37:04.840 --> 0:37:07.200
<v Speaker 1>these are things we're interested in. Not all of science

0:37:07.239 --> 0:37:09.560
<v Speaker 1>has to be reductionists. There are other ways to gain

0:37:09.760 --> 0:37:13.120
<v Speaker 1>understanding and explanation than just to tear things apart into

0:37:13.160 --> 0:37:15.399
<v Speaker 1>their tiny bits. Sometimes you do that and you don't

0:37:15.480 --> 0:37:17.719
<v Speaker 1>get any understanding. Like when you look at the brain,

0:37:17.840 --> 0:37:21.680
<v Speaker 1>psychology is valuable even if neuroscience can't yet explain it.

0:37:21.920 --> 0:37:24.000
<v Speaker 1>Right right, Well, let's dig into this a little bit

0:37:24.000 --> 0:37:26.160
<v Speaker 1>because I am a little bit confused. So you're saying,

0:37:26.440 --> 0:37:30.040
<v Speaker 1>the thermodynamic definition of temperature is the derivative of say

0:37:30.080 --> 0:37:33.120
<v Speaker 1>it again, energy flow divided by entropy. Yeah, it's the

0:37:33.120 --> 0:37:37.640
<v Speaker 1>derivative of energy with respect to entropy. So energies E

0:37:37.760 --> 0:37:40.640
<v Speaker 1>and entropy is S. So temperature in this sense is

0:37:40.800 --> 0:37:45.680
<v Speaker 1>d E D S. Apologize for introducing math to the body. Yeah,

0:37:45.920 --> 0:37:49.440
<v Speaker 1>what are you doing to me here? Okay? So it's uh,

0:37:49.480 --> 0:37:52.960
<v Speaker 1>it's kind of like saying how energy changes if you

0:37:53.040 --> 0:37:56.520
<v Speaker 1>change entropy exactly, because the key idea again is that

0:37:56.800 --> 0:37:59.360
<v Speaker 1>entropy is always going to be maximized, and so what

0:37:59.680 --> 0:38:02.520
<v Speaker 1>array angagement of the stuff? What arrangement of the energy

0:38:02.760 --> 0:38:05.400
<v Speaker 1>is going to give you the most entropy, And so

0:38:05.480 --> 0:38:07.440
<v Speaker 1>to know whether something is going to flow from one

0:38:07.480 --> 0:38:09.640
<v Speaker 1>object to another, you have to know, like how much

0:38:09.719 --> 0:38:12.560
<v Speaker 1>energy does some entropy cost? If I want to increase

0:38:12.560 --> 0:38:15.000
<v Speaker 1>the entropy over here, how much energy does it cost me?

0:38:15.080 --> 0:38:17.160
<v Speaker 1>If I'm gonna gain more entropy by moving the energy

0:38:17.200 --> 0:38:20.160
<v Speaker 1>over than I lose where the energy came from, then

0:38:20.280 --> 0:38:22.520
<v Speaker 1>let's do it. So you have to understand, like how

0:38:22.600 --> 0:38:25.760
<v Speaker 1>much entropy do you get per energy? And that's basically

0:38:25.760 --> 0:38:28.120
<v Speaker 1>what temperature is, right, But then what are you trying

0:38:28.160 --> 0:38:31.200
<v Speaker 1>to measure the temperature of like one thing or two things?

0:38:31.400 --> 0:38:32.600
<v Speaker 1>You know what I mean? Like if I told you

0:38:32.600 --> 0:38:36.000
<v Speaker 1>what's the thermodynamic temperature of an ice cube, how would

0:38:36.040 --> 0:38:39.239
<v Speaker 1>you calculate it? Well, I would measure how quickly it

0:38:39.320 --> 0:38:43.799
<v Speaker 1>gains new possible configurations as I increase its energy as

0:38:43.800 --> 0:38:45.800
<v Speaker 1>you put it in coffee. I can measure the energy

0:38:45.880 --> 0:38:48.480
<v Speaker 1>of the atoms in the ice cube or in some

0:38:48.600 --> 0:38:50.600
<v Speaker 1>other way. Yeah, I guess the question is just like

0:38:50.640 --> 0:38:52.239
<v Speaker 1>if I give you an ice cube, how would you

0:38:52.280 --> 0:38:55.560
<v Speaker 1>measure the thermodynamic temperature of it? I would measure how

0:38:55.600 --> 0:38:58.560
<v Speaker 1>it's entropy changes as I change its energy, right, So

0:38:58.640 --> 0:39:01.680
<v Speaker 1>the temperature there is the relate ationship between the energy

0:39:02.000 --> 0:39:04.440
<v Speaker 1>and the entropy. So you change one and you measure

0:39:04.520 --> 0:39:06.920
<v Speaker 1>the other. Right, But how would you measure its entropy? Well,

0:39:06.920 --> 0:39:10.000
<v Speaker 1>you know, you can measure entropy by measuring temperature and energy,

0:39:10.120 --> 0:39:12.600
<v Speaker 1>because it's a relationship between the three. And that's the

0:39:12.640 --> 0:39:15.279
<v Speaker 1>thing I always hated about thermodynamics is that you feel

0:39:15.320 --> 0:39:18.160
<v Speaker 1>like you're just going in circles. Sometimes. Well, it's good,

0:39:18.160 --> 0:39:21.359
<v Speaker 1>we're spending an hour here discussing something you hate. I'm

0:39:21.360 --> 0:39:26.160
<v Speaker 1>sure people are following along, right right along. All right, Well,

0:39:26.200 --> 0:39:28.000
<v Speaker 1>let's maybe take a step. But I think what you're

0:39:28.000 --> 0:39:30.759
<v Speaker 1>saying is that temperature is kind of this weird thing,

0:39:31.040 --> 0:39:33.000
<v Speaker 1>and if you look at it from a thermodynamic point

0:39:33.040 --> 0:39:34.719
<v Speaker 1>of view, you can look at it in terms of

0:39:34.719 --> 0:39:37.759
<v Speaker 1>how it changes with respect to entropy. Like if it

0:39:38.000 --> 0:39:40.920
<v Speaker 1>something has a lot of temperature, something is hot in

0:39:40.920 --> 0:39:44.359
<v Speaker 1>the thermodynamic sense, that means what it takes a lot

0:39:44.400 --> 0:39:46.760
<v Speaker 1>of entropy, or it doesn't take a lot of entropy.

0:39:47.120 --> 0:39:50.000
<v Speaker 1>Something is hot in a thermodynamic sense, it means that

0:39:50.040 --> 0:39:52.920
<v Speaker 1>it costs a lot of energy to change its entropy.

0:39:53.160 --> 0:39:55.080
<v Speaker 1>And so if you want to take some of that

0:39:55.200 --> 0:39:58.600
<v Speaker 1>energy away, it doesn't reduce its entropy very very much.

0:39:58.760 --> 0:40:00.520
<v Speaker 1>So if you have a really hot link it surrounding

0:40:00.560 --> 0:40:02.720
<v Speaker 1>your ice cube, you can take some of that energy

0:40:02.880 --> 0:40:05.080
<v Speaker 1>out of the liquid and put it into the ice cube,

0:40:05.120 --> 0:40:06.759
<v Speaker 1>and you're not going to lose a whole lot of

0:40:06.840 --> 0:40:10.000
<v Speaker 1>entropy from the liquid. Right, high temperature means high D

0:40:10.200 --> 0:40:12.600
<v Speaker 1>E D s, so you can take energy away without

0:40:12.600 --> 0:40:14.680
<v Speaker 1>losing a whole lot of entropy. And because the ice

0:40:14.680 --> 0:40:18.000
<v Speaker 1>cube is cold, right, has low D E D s

0:40:18.080 --> 0:40:20.000
<v Speaker 1>and as you add energy to it, you get a

0:40:20.040 --> 0:40:22.200
<v Speaker 1>lot more entropy. So you lose a little bit of

0:40:22.280 --> 0:40:24.520
<v Speaker 1>entropy from the hot liquid and you gain a lot

0:40:24.600 --> 0:40:27.600
<v Speaker 1>of entropy into the cold ice cube for the same

0:40:27.640 --> 0:40:30.640
<v Speaker 1>amount of energy. I see. It's almost like the cost

0:40:30.960 --> 0:40:34.239
<v Speaker 1>of entropy for something exactly. It's like exchange rates. Yeah,

0:40:34.280 --> 0:40:37.160
<v Speaker 1>it's like how much bang for your buck does energy

0:40:37.200 --> 0:40:40.839
<v Speaker 1>give you in in the entropy of something Like if

0:40:40.880 --> 0:40:43.880
<v Speaker 1>something an ice cube which is cold, you get a

0:40:43.880 --> 0:40:46.960
<v Speaker 1>lot of entropy just by you know, breathing on it

0:40:47.040 --> 0:40:51.000
<v Speaker 1>with your warm breath, but a cold cup of coffee

0:40:51.200 --> 0:40:54.640
<v Speaker 1>you need a lot of energy to reduce its entropy. Yes,

0:40:54.680 --> 0:40:57.919
<v Speaker 1>So now we have Jorges economic theory of temperature. Yes,

0:40:58.080 --> 0:41:01.720
<v Speaker 1>my My coffee theory is you can buy entropy cheap

0:41:01.840 --> 0:41:03.839
<v Speaker 1>from a hot liquid, and you can sell it at

0:41:03.840 --> 0:41:07.440
<v Speaker 1>a high price in your cold ice cube exactly. Okay,

0:41:07.440 --> 0:41:10.400
<v Speaker 1>So that's the thermo dynamic definition, and it matches up

0:41:10.400 --> 0:41:12.600
<v Speaker 1>with the regular definition because I guess if something is

0:41:12.719 --> 0:41:15.399
<v Speaker 1>zero kelvin, entropy is cheap for something like that, right,

0:41:15.440 --> 0:41:16.719
<v Speaker 1>Like I just got to put in a little bit

0:41:16.719 --> 0:41:19.239
<v Speaker 1>of energy and I get a whole bunch of entropy.

0:41:19.280 --> 0:41:22.080
<v Speaker 1>But if something is like a million degrees kelvin, you

0:41:22.120 --> 0:41:23.920
<v Speaker 1>know it's gonna take me a lot of energy to

0:41:24.160 --> 0:41:27.279
<v Speaker 1>increase the entropy or something that's already super entropic. And

0:41:27.280 --> 0:41:29.440
<v Speaker 1>it's also about the relationship. Like this makes a lot

0:41:29.480 --> 0:41:32.520
<v Speaker 1>of sense for most things because for most things, as

0:41:32.560 --> 0:41:35.200
<v Speaker 1>you add energy, you get more entropy. As you add

0:41:35.239 --> 0:41:38.040
<v Speaker 1>energy to a liquid, you free the particles and then

0:41:38.000 --> 0:41:39.919
<v Speaker 1>they become gas and they can move in new ways

0:41:39.960 --> 0:41:42.879
<v Speaker 1>and find new arrangements, and as you cool things down,

0:41:42.920 --> 0:41:46.760
<v Speaker 1>they get less entropy. So if entropy is always increasing

0:41:46.760 --> 0:41:49.040
<v Speaker 1>with energy, then this makes perfect sense. And that's what

0:41:49.120 --> 0:41:51.320
<v Speaker 1>it does for the ideal gas. And you're like kinetic

0:41:51.360 --> 0:41:54.359
<v Speaker 1>theory of temperature and they line up as you say,

0:41:54.480 --> 0:41:57.640
<v Speaker 1>you mean like you always get something for your money, exactly.

0:41:57.800 --> 0:42:01.279
<v Speaker 1>But condensed matter physicists can imagine in some kinds of

0:42:01.320 --> 0:42:05.439
<v Speaker 1>weird materials where this isn't true, some kind of weird

0:42:05.480 --> 0:42:09.440
<v Speaker 1>materials whereas you add more energy, you actually get fewer

0:42:09.960 --> 0:42:13.120
<v Speaker 1>micro states. Do you have decreasing entropy, So as the

0:42:13.160 --> 0:42:16.040
<v Speaker 1>thing has more and more energy, there might be fewer

0:42:16.080 --> 0:42:19.880
<v Speaker 1>ways to arrange it, and that would lead to negative temperature.

0:42:20.200 --> 0:42:23.279
<v Speaker 1>M All right, now we're getting to the question of

0:42:23.320 --> 0:42:26.120
<v Speaker 1>the episode, which is you're saying that if you define

0:42:26.400 --> 0:42:31.560
<v Speaker 1>temperature in the thermoidyanatic way, um, there are things potentially

0:42:31.640 --> 0:42:35.200
<v Speaker 1>or theoretically I guess that could have negative temperature because

0:42:35.400 --> 0:42:37.920
<v Speaker 1>when you put energy into them, they actually sort of

0:42:37.960 --> 0:42:41.920
<v Speaker 1>get neater, right or colder exactly, they get neater, they

0:42:41.920 --> 0:42:45.880
<v Speaker 1>have fewer ways to arrange themselves. And here's an example.

0:42:46.239 --> 0:42:49.520
<v Speaker 1>Imagine a bunch of particles in a line, and these

0:42:49.560 --> 0:42:51.879
<v Speaker 1>particles are fixed on the line. They can't move at all.

0:42:51.920 --> 0:42:53.640
<v Speaker 1>The only thing they can do is be spin up

0:42:53.840 --> 0:42:56.200
<v Speaker 1>or spin down. Put these particles in a magnetic field,

0:42:56.200 --> 0:42:58.919
<v Speaker 1>so that like spin up has more energy than spin

0:42:59.000 --> 0:43:01.640
<v Speaker 1>down for example, meaning more energy meaning like it that

0:43:01.880 --> 0:43:05.040
<v Speaker 1>just want to spin down, Yeah exactly. Costs more energy

0:43:05.040 --> 0:43:07.239
<v Speaker 1>to spin up than to spin down, like trying to

0:43:07.239 --> 0:43:09.759
<v Speaker 1>stand up a stick. Yeah exactly. So now imagine all

0:43:09.800 --> 0:43:13.719
<v Speaker 1>these particles spin down right minimum energy, there'd be no

0:43:13.960 --> 0:43:16.680
<v Speaker 1>entropy because there's only one way to arrange all of

0:43:16.719 --> 0:43:19.480
<v Speaker 1>these things. It's just like getting all heads when you

0:43:19.520 --> 0:43:22.200
<v Speaker 1>flip a bunch of coins, or getting all tails. Right,

0:43:22.239 --> 0:43:24.480
<v Speaker 1>there's only one way to arrange them, so they're all

0:43:24.520 --> 0:43:28.400
<v Speaker 1>spin down, so there's zero entropy. It's minimum entropy, like

0:43:28.400 --> 0:43:30.960
<v Speaker 1>the block of ice. Right, everything is like neatly ordered

0:43:31.000 --> 0:43:34.359
<v Speaker 1>in a state that um it wants to be in exactly. Now,

0:43:34.400 --> 0:43:37.279
<v Speaker 1>as you add energy, some atoms start to flip right,

0:43:37.640 --> 0:43:41.000
<v Speaker 1>and you quickly add entropy. There's lots of ways to

0:43:41.280 --> 0:43:43.080
<v Speaker 1>arrange it. Now, if you say, well, I have enough

0:43:43.160 --> 0:43:45.520
<v Speaker 1>energy to flip one atom, well, there's a bunch of

0:43:45.520 --> 0:43:47.160
<v Speaker 1>different ways to do that. You can flip any of

0:43:47.160 --> 0:43:49.160
<v Speaker 1>the atoms. If you want to flip five atoms, you

0:43:49.160 --> 0:43:51.439
<v Speaker 1>have enough energy to flip five atoms, right, then there's

0:43:51.520 --> 0:43:53.760
<v Speaker 1>lots and lots of ways, and so as you add energy,

0:43:53.880 --> 0:43:57.320
<v Speaker 1>the entropy increases. Totally normal so far, but what happens

0:43:57.360 --> 0:44:01.320
<v Speaker 1>once you pass the halfway point, once more than half

0:44:01.320 --> 0:44:03.520
<v Speaker 1>of the atoms are flipped up, and as you keep

0:44:03.560 --> 0:44:06.920
<v Speaker 1>adding energy, you're reducing the number of ways you can

0:44:07.000 --> 0:44:09.160
<v Speaker 1>arrange the system until all the way up to the

0:44:09.200 --> 0:44:12.520
<v Speaker 1>maximum energy, when everything is flipped up, there's only one

0:44:12.640 --> 0:44:16.000
<v Speaker 1>way to arrange the system at the maximum energy. So

0:44:16.040 --> 0:44:19.160
<v Speaker 1>in the second half there after you pass the halfway point,

0:44:19.480 --> 0:44:23.319
<v Speaker 1>as you're adding energy, you're losing entropy, so you have

0:44:23.360 --> 0:44:27.400
<v Speaker 1>the opposite relationship between energy and entropy. WHOA, Okay, So

0:44:27.440 --> 0:44:29.880
<v Speaker 1>it's kind of like the coins that like you're saying right, like,

0:44:30.000 --> 0:44:35.959
<v Speaker 1>if all the coins are heads up, that's minimum entropy. Yeah,

0:44:36.120 --> 0:44:39.000
<v Speaker 1>that's zero entropy, and half of them heads up heads

0:44:39.040 --> 0:44:41.600
<v Speaker 1>down is maximum entropy. But then if you go all

0:44:41.640 --> 0:44:43.879
<v Speaker 1>the way I even keep going, and somehow you're able

0:44:43.920 --> 0:44:46.879
<v Speaker 1>to flip all of the coins tails up, then that's

0:44:46.920 --> 0:44:51.719
<v Speaker 1>also zero entropy. Yeah exactly. And so you have maximum

0:44:51.840 --> 0:44:54.919
<v Speaker 1>energy and zero entropy. And this is a really weird

0:44:54.960 --> 0:44:57.600
<v Speaker 1>system and not something we actually see in nature, but

0:44:57.680 --> 0:45:01.680
<v Speaker 1>in principle. Because you are adding energy but reducing entropy,

0:45:01.760 --> 0:45:06.400
<v Speaker 1>that's technically negative temperature. So everything above the halfway point

0:45:06.440 --> 0:45:10.400
<v Speaker 1>there has negative temperature. It has d E D S

0:45:10.480 --> 0:45:14.200
<v Speaker 1>is a negative value. I see in this weird situation,

0:45:14.480 --> 0:45:19.000
<v Speaker 1>after all the coins are heads and tails up, you're saying,

0:45:19.040 --> 0:45:22.359
<v Speaker 1>it actually starts to have a negative temperature again because

0:45:22.360 --> 0:45:24.480
<v Speaker 1>the entropy is going down again as I put more

0:45:24.560 --> 0:45:26.919
<v Speaker 1>energy into it, exactly, And so the system would prefer

0:45:27.000 --> 0:45:30.919
<v Speaker 1>less energy would flow towards a higher entropy situation, which

0:45:30.960 --> 0:45:32.840
<v Speaker 1>is more of a mix, right, Like you try to

0:45:32.840 --> 0:45:35.880
<v Speaker 1>buy more entropy with your energy, but you actually lose entropy.

0:45:36.160 --> 0:45:40.480
<v Speaker 1>That's what it means to be cold in this definition

0:45:40.480 --> 0:45:44.160
<v Speaker 1>of temperature. And this gets really weird. Like let's say

0:45:44.160 --> 0:45:45.879
<v Speaker 1>you have two of these things. Now you have two

0:45:45.880 --> 0:45:48.080
<v Speaker 1>of these lines of atoms, and you put them in

0:45:48.120 --> 0:45:50.640
<v Speaker 1>touch so they can share energy. Right, where is the

0:45:50.760 --> 0:45:53.560
<v Speaker 1>energy going to go? Say one of them has a

0:45:53.640 --> 0:45:56.560
<v Speaker 1>higher value of temperature than the other one. Well, in

0:45:56.600 --> 0:46:01.239
<v Speaker 1>this case, something with negative temperature actually has more energy

0:46:01.360 --> 0:46:04.560
<v Speaker 1>then the thing with positive temperature, right, because they get

0:46:04.680 --> 0:46:08.040
<v Speaker 1>to negative temperature you have to go above the halfway point,

0:46:08.080 --> 0:46:10.960
<v Speaker 1>so half of them are flipped up. So in this case,

0:46:11.040 --> 0:46:15.920
<v Speaker 1>the heat actually flows from the higher energy negative temperature

0:46:15.960 --> 0:46:19.279
<v Speaker 1>system to the positive temperature system, which sounds kind of

0:46:19.280 --> 0:46:23.160
<v Speaker 1>bonkers and backwards well, yeah, yeah, it does sound bankers.

0:46:23.239 --> 0:46:25.160
<v Speaker 1>But I feel like you're trying to maybe trying to

0:46:25.200 --> 0:46:28.080
<v Speaker 1>fudge some of these definitions, right, because like these things,

0:46:28.160 --> 0:46:30.799
<v Speaker 1>these coins only have this weird property because you kind

0:46:30.800 --> 0:46:33.400
<v Speaker 1>of introducing this bias with the magnet. Right, it's not

0:46:33.440 --> 0:46:36.600
<v Speaker 1>actually heat or energy, right, it's sort of something different

0:46:36.680 --> 0:46:38.920
<v Speaker 1>that's going from one to the other. It is energy, right.

0:46:38.960 --> 0:46:42.240
<v Speaker 1>It takes energy to be like misaligned with the magnet,

0:46:42.360 --> 0:46:45.240
<v Speaker 1>for example, and so it really is energy. The question

0:46:45.280 --> 0:46:47.440
<v Speaker 1>really is like what does this mean by temperature? We

0:46:47.480 --> 0:46:51.560
<v Speaker 1>introduce this definition of thermodynamic temperature so that we could

0:46:51.560 --> 0:46:53.920
<v Speaker 1>describe the kind of things we see in the world, right,

0:46:54.000 --> 0:46:57.840
<v Speaker 1>heat flowing from high temperature objects to low temperature objects.

0:46:57.840 --> 0:46:59.920
<v Speaker 1>And this is just an example of this definition pushed

0:47:00.000 --> 0:47:03.000
<v Speaker 1>to the extreme where it really doesn't make any sense anymore.

0:47:03.120 --> 0:47:05.640
<v Speaker 1>The same way we push the definition of kinetic temperature

0:47:05.680 --> 0:47:08.080
<v Speaker 1>to the extreme by asking what is the temperature of

0:47:08.120 --> 0:47:10.759
<v Speaker 1>one particle? In this case, while you can get technically

0:47:10.840 --> 0:47:14.400
<v Speaker 1>negative temperature, it really shows the breakdown of this idea

0:47:14.480 --> 0:47:18.759
<v Speaker 1>of thermodynamic temperature more than like actually being negative in

0:47:18.760 --> 0:47:21.920
<v Speaker 1>any meaningful way. M I see you're saying it like

0:47:21.960 --> 0:47:25.279
<v Speaker 1>if I define temperature as the cost of entropy per

0:47:25.480 --> 0:47:29.000
<v Speaker 1>bank per bug for energy. Um, that doesn't work if

0:47:29.000 --> 0:47:30.960
<v Speaker 1>you have a situation where it actually like if you

0:47:31.000 --> 0:47:34.040
<v Speaker 1>put in more energy, it actually lose this entropy exactly. Yeah,

0:47:34.239 --> 0:47:36.319
<v Speaker 1>it just doesn't really work. And you can see that

0:47:36.400 --> 0:47:40.440
<v Speaker 1>because it predicts that things flow from negative temperature to

0:47:40.520 --> 0:47:43.040
<v Speaker 1>positive temperature. What's the point of temperature then? If it

0:47:43.080 --> 0:47:46.000
<v Speaker 1>doesn't even align with our ideas and our experience? All right, Well,

0:47:46.040 --> 0:47:48.239
<v Speaker 1>I mean it's sort of like kind of I feel

0:47:48.280 --> 0:47:51.560
<v Speaker 1>like it's almost kind of like going to celsius or fahrenheit, right,

0:47:51.680 --> 0:47:54.840
<v Speaker 1>you're sort of changing the scale of things maybe, and

0:47:54.960 --> 0:47:57.719
<v Speaker 1>so then therefore you can have negative temperatures if you

0:47:58.239 --> 0:48:00.800
<v Speaker 1>define things this way. Yeah, it's true. You could always

0:48:00.800 --> 0:48:03.960
<v Speaker 1>define temperatures to be negative as well. I think this

0:48:04.000 --> 0:48:07.200
<v Speaker 1>one is interesting because it shows you, not like that

0:48:07.280 --> 0:48:09.840
<v Speaker 1>the universe breaks the rules or anything, but it shows

0:48:09.840 --> 0:48:12.000
<v Speaker 1>you that these ideas that we invent to try to

0:48:12.040 --> 0:48:15.279
<v Speaker 1>describe our experience, they have limits, and those limits aren't

0:48:15.320 --> 0:48:19.000
<v Speaker 1>physical limits, they're like conceptual limits. Like this idea doesn't

0:48:19.040 --> 0:48:21.920
<v Speaker 1>really work in that circumstance. The whole concept of temperature

0:48:22.040 --> 0:48:25.120
<v Speaker 1>doesn't really make sense for this weird invented system right,

0:48:25.120 --> 0:48:27.759
<v Speaker 1>Like it's like, maybe we have a way of describing

0:48:27.880 --> 0:48:30.480
<v Speaker 1>and calling things in the universe and calculating things, but

0:48:30.560 --> 0:48:33.080
<v Speaker 1>maybe that's not really how the universe works. Like, maybe

0:48:33.080 --> 0:48:35.080
<v Speaker 1>the universe has its own way of doing things that

0:48:35.120 --> 0:48:38.560
<v Speaker 1>are beyond what we're able to describe, kind of or define.

0:48:38.640 --> 0:48:40.080
<v Speaker 1>Is that what you're saying. Yeah, it's like the way

0:48:40.080 --> 0:48:42.200
<v Speaker 1>you can talk about feelings for a person, but can

0:48:42.239 --> 0:48:44.960
<v Speaker 1>you talk about feelings for like a rock or a river.

0:48:45.400 --> 0:48:48.040
<v Speaker 1>You know, it's an idea but doesn't really make sense

0:48:48.320 --> 0:48:50.719
<v Speaker 1>in the same way that like temperature makes sense in

0:48:50.880 --> 0:48:54.880
<v Speaker 1>certain contexts or certain behaviors emerge and have relationships, but

0:48:55.000 --> 0:48:57.440
<v Speaker 1>not in all context You can't ask what is the

0:48:57.440 --> 0:49:01.280
<v Speaker 1>temperature of every arbitrary system that you event doesn't always

0:49:01.280 --> 0:49:05.439
<v Speaker 1>make sense? I see, But what if I an imaginary friend, Rob,

0:49:06.120 --> 0:49:09.040
<v Speaker 1>can I still assign thermodynamic happiness to it? Depends how

0:49:09.080 --> 0:49:11.840
<v Speaker 1>much it's willing to spend to get more entropy? Yeah,

0:49:12.440 --> 0:49:14.440
<v Speaker 1>be flippid and it lands heads up? But what does

0:49:14.440 --> 0:49:18.359
<v Speaker 1>that mean? It means it's time for dessert, all right?

0:49:18.440 --> 0:49:20.360
<v Speaker 1>So then, um, that's kind of where this idea of

0:49:20.360 --> 0:49:22.640
<v Speaker 1>negative temperature is. I think what you're saying is that

0:49:22.719 --> 0:49:26.160
<v Speaker 1>some physicists, if they go by this definition, are allowed

0:49:26.200 --> 0:49:29.560
<v Speaker 1>to call things as having negative temperature. Right, So maybe,

0:49:29.600 --> 0:49:32.160
<v Speaker 1>like most people were saying, no, that's impossible, you can

0:49:32.160 --> 0:49:34.319
<v Speaker 1>have negative temperature, you would say, well, it depends on

0:49:34.320 --> 0:49:37.400
<v Speaker 1>who you talk to and what you mean by temperature. Yeah, exactly,

0:49:37.480 --> 0:49:39.400
<v Speaker 1>and whether you think it even makes sense to apply

0:49:39.520 --> 0:49:43.279
<v Speaker 1>temperature to these crazy, bonkers, weird situations that will never

0:49:43.320 --> 0:49:45.839
<v Speaker 1>arise in our universe. So does that mean I can

0:49:45.840 --> 0:49:49.760
<v Speaker 1>be a thermoid dynamic temperature denier but still a regular

0:49:49.800 --> 0:49:54.640
<v Speaker 1>temperature positivist. You can be whatever you want, man. So

0:49:54.680 --> 0:49:56.520
<v Speaker 1>thanks to everybody who wrote in to ask us to

0:49:56.560 --> 0:49:59.680
<v Speaker 1>talk about that tricky concept. I hope that was useful.

0:50:00.120 --> 0:50:01.839
<v Speaker 1>We hope you enjoy that and maybe made you think

0:50:01.880 --> 0:50:04.000
<v Speaker 1>about what it actually means for something to be hot

0:50:04.040 --> 0:50:06.680
<v Speaker 1>and cold. Like, maybe what we experience in our everyday

0:50:06.680 --> 0:50:09.600
<v Speaker 1>lives is just what we experience in our everyday lives.

0:50:09.640 --> 0:50:12.400
<v Speaker 1>Maybe it doesn't always apply to everything in the universe.

0:50:12.640 --> 0:50:23.440
<v Speaker 1>Thanks for joining us, see you next time. Thanks for listening,

0:50:23.440 --> 0:50:26.160
<v Speaker 1>and remember that. Daniel and Jorge Explain the Universe is

0:50:26.200 --> 0:50:29.719
<v Speaker 1>a production of I Heart Radio For More podcast from

0:50:29.719 --> 0:50:33.480
<v Speaker 1>my heart Radio, visit the i heart Radio app, Apple podcasts,

0:50:33.600 --> 0:50:41.719
<v Speaker 1>or wherever you listen to your favorite shows. Yeah.