WEBVTT - What are paraparticles?

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<v Speaker 1>How does the universe work? What are the rules that

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<v Speaker 1>govern its most microscopic nature. For a few hundred years,

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<v Speaker 1>we've been making progress on this question, mostly by taking

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<v Speaker 1>things apart, and when we zoom into the universe at

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<v Speaker 1>the smallest level, it seems so far like there are

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<v Speaker 1>two different categories of particles, matter particles like quarks and electrons,

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<v Speaker 1>and force particles like photons and gluons. For a long time,

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<v Speaker 1>it seems like that has to be all there is.

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<v Speaker 1>What else could there possibly be? But experiments aren't the

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<v Speaker 1>only way to reveal the secrets of the universe. Another

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<v Speaker 1>very fruitful path is to follow the math. When we

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<v Speaker 1>ask what else the math allows, we sometimes get predictions

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<v Speaker 1>for very weird phenomena like antimatter, or black holes or

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<v Speaker 1>Higgs bosons, which turn out to be real in the universe.

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<v Speaker 1>So can the math show us another kind of particle?

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<v Speaker 1>A weird third way beyond matter and forces. Welcome to

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<v Speaker 1>Daniel and Kelly's Extraordinary mathematical Universe.

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<v Speaker 2>Hello, I'm Kelly Wiersmith. I study parasites and space, and

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<v Speaker 2>I think there are four kinds of particles.

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<v Speaker 3>Are parasites the fourth particle?

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<v Speaker 2>I mean if physics were any good, the answer would

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<v Speaker 2>be yes. See what I think is that y'all like symmetry,

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<v Speaker 2>and I think that if you decide there's three kinds

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<v Speaker 2>of particles, that will be an odd number and you'll

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<v Speaker 2>have to decide there's another kind, so that it's even Hi.

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<v Speaker 3>I'm Daniel.

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<v Speaker 1>I'm a particle physicist, not a paraparticle physicist or a

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<v Speaker 1>parasitical particle physicist or any.

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<v Speaker 3>Those other varieties.

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<v Speaker 1>But I do love understanding the nature of the universe

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<v Speaker 1>and finding symmetry in.

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<v Speaker 2>It all amazing. So are you one of those physicists

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<v Speaker 2>who feels like there needs to be symmetry in these

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<v Speaker 2>answers or does it just kind of depend on the topic?

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<v Speaker 1>Wow, what a deep question to drop on me at

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<v Speaker 1>the top of the episode. I think what we've learned

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<v Speaker 1>so far is that there is symmetry in the universe.

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<v Speaker 1>Like all the rules we've discovered about physics seem to

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<v Speaker 1>follow symmetric patterns. There's like reflections and translations, and you

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<v Speaker 1>can generalize this into abstract algebra called group theory. So

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<v Speaker 1>the universe seems to be well described by symmetries in mathematics.

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<v Speaker 1>Does that mean the universe is symmetric or that's just

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<v Speaker 1>the way we like to think about it. I mean,

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<v Speaker 1>that's a deep question in philosophy. We're not going to

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<v Speaker 1>answer it today. But I appreciate symmetry.

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<v Speaker 3>I love it. I love the mathematical beauty of what

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<v Speaker 3>we've learned about the universe.

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<v Speaker 2>Why should the universe be symmetrical instead of like just

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<v Speaker 2>a mess? Like as an evolutionary biologist, like it all

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<v Speaker 2>being held together with like duct tape and zip ties

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<v Speaker 2>makes more sense to me then it being beautifully symmetrical.

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<v Speaker 2>But why is it symmetrical?

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<v Speaker 1>I think I have a natural preference for explanations that

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<v Speaker 1>are simple, that are harmonious and parsimonious, right, Like we

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<v Speaker 1>think that the universe should be in the end described

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<v Speaker 1>by one simple idea, and so we're constantly looking for that,

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<v Speaker 1>and symmetry helps us restrain that. It helps us reduce

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<v Speaker 1>the number of options, you know, like instead of having

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<v Speaker 1>to come up with ten numbers, what if there's a

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<v Speaker 1>symmetry that tells you that those numbers are all related,

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<v Speaker 1>so there really is just one number that turns into ten.

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<v Speaker 1>But you might also ask the basic question like, well,

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<v Speaker 1>why do we expect the universe to be simple and parsimonious,

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<v Speaker 1>and I don't have an answer for that, you know,

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<v Speaker 1>just so far that seemed to work, you know, looking

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<v Speaker 1>for the simplest explanation so far has found us things

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<v Speaker 1>that work in the universe. They predict experiments, they describe

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<v Speaker 1>things we haven't seen yet. So many times in the

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<v Speaker 1>history of science we followed the symmetry in mathematics to

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<v Speaker 1>make discoveries like particles or like electromagnetism. You know, Maxwell

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<v Speaker 1>looking at these equations and seeing a lack of symmetry

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<v Speaker 1>and penciling in the piece he needs to make the

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<v Speaker 1>equation symmetrical, discovering something real in the universe, or Peter

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<v Speaker 1>Higgs finding a piece that clicks together with all the

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<v Speaker 1>other pieces to answer why symmetry is broken, so it

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<v Speaker 1>seems to work, is the only real answer I can

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<v Speaker 1>give you.

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<v Speaker 2>Interesting, you know, So I was I'm reading this book

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<v Speaker 2>called The Remedy right now, and it is about how

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<v Speaker 2>like Coch and Pasteur determined that microorganisms caused disease. And

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<v Speaker 2>the author was arguing that actually this kind of flew

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<v Speaker 2>in the face of we should look for the simplest answer,

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<v Speaker 2>because the simplest answer at the time was that bad

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<v Speaker 2>air causes all of these maladies, and so having one

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<v Speaker 2>cause that explained all of this stuff seemed much simpler

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<v Speaker 2>than you know, Tuberculosis is caused by this tiny organism,

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<v Speaker 2>and smallpox is caused by that tiny organism that we

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<v Speaker 2>can't even see. And so the fact that bad air

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<v Speaker 2>was simple a sort of made people cling to it

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<v Speaker 2>a little bit longer than this more complicated answer that

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<v Speaker 2>tended to be right. And so I think in almost

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<v Speaker 2>every case it makes a lot more sense to look

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<v Speaker 2>for the simplest explanation first, but you should not let

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<v Speaker 2>it close your eyes to the more complex answers that

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<v Speaker 2>might actually be the reality of the situation.

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<v Speaker 1>Yeah, you should choose the simplest answer that works, that

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<v Speaker 1>actually describes the universe. Yes, not the simplest answer that

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<v Speaker 1>doesn't describe the universe. But you're right, you don't know

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<v Speaker 1>in advance what's going to work and what isn't, And

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<v Speaker 1>so we often start from the simplest thing because why

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<v Speaker 1>not right, And if that doesn't work, then we move

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<v Speaker 1>on to something more complicated.

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<v Speaker 3>And that's how we get chemistry and biology and.

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<v Speaker 1>All sorts of other delicious, beautiful messes of science. Right,

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<v Speaker 1>that have yet to pull themselves together into a single

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<v Speaker 1>parsimonious explanation. And that's also one reason why I am

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<v Speaker 1>a physicist, because physics, I feel like, is closer to

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<v Speaker 1>getting to a single answer than chemistry is. For example,

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<v Speaker 1>I was always frustrated in chemistry, like this rule for

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<v Speaker 1>this thing, and this rule for that thing, and this

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<v Speaker 1>other rule except for this other scenario. Maybe I just

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<v Speaker 1>have a bad memory and it's hard to hold all

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<v Speaker 1>those things in my head. But I just really like

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<v Speaker 1>to look, here's one equation. Start from that you can

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<v Speaker 1>get to anything. That just always appealed to me.

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<v Speaker 2>That's so interesting. I think we live on very different

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<v Speaker 2>sides of this gradient. So like for me, you know,

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<v Speaker 2>you said biologists and chemists have yet to come up

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<v Speaker 2>with a simple theory. I don't feel like that's what

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<v Speaker 2>we're trying for at all.

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<v Speaker 1>Like why maybe that's why you haven't found one.

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<v Speaker 2>Why would you assume that there is one? Like life

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<v Speaker 2>is beautifully complex, you know, the it depends is where

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<v Speaker 2>all the fun lives. I think. You know, you're like, oh,

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<v Speaker 2>that's frustrating, and I'm like, no, that's that's the exciting part.

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<v Speaker 2>Like what it depends on what life is complicated and

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<v Speaker 2>messy and that's what makes it beautiful.

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<v Speaker 1>But isn't it beautiful when you find things that are

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<v Speaker 1>true across all of life? Right Like DNA, for example,

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<v Speaker 1>undergirds a lot of life on Earth, and that's really

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<v Speaker 1>powerful to discover that and to understand it. Right, Yeah,

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<v Speaker 1>it's not as fascinating as like this one kind of

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<v Speaker 1>frog does this one kind of thing on random tuesdays

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<v Speaker 1>in my opinion.

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<v Speaker 2>Well, I will politely disagree with you. I think what

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<v Speaker 2>the frogs are doing on tuesdays I am deeply interested in.

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<v Speaker 2>But yes, you know, I think it's beautiful that you know,

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<v Speaker 2>the blueprint for life is stored in the same material

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<v Speaker 2>no matter what organism you're looking at. But we all

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<v Speaker 2>do very different things with that material. You know, bacteria

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<v Speaker 2>do horizontal gene transfer. They're swapping genes back and forth,

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<v Speaker 2>and you know, we have to have sex to swap

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<v Speaker 2>genetic material, and we've got recombination and I don't know anyway,

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<v Speaker 2>that's where the it depends gets fun again.

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<v Speaker 1>Well, we have made a lot of hay in physics,

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<v Speaker 1>at least in looking for symmetries and then trying to

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<v Speaker 1>understand when there are holes, is there something to fill

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<v Speaker 1>that hole? Right the way we did with antiparticles and

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<v Speaker 1>the way we did with all the quarks, and so

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<v Speaker 1>often mathematical beauty really does lead us to new discoveries.

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<v Speaker 1>And that's what we're talking about today on the podcast.

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<v Speaker 1>Whether there is another bucket, another kind of thing out

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<v Speaker 1>there in the universe that we can use to describe

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<v Speaker 1>how everything works, maybe explains why those toads do that thing.

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<v Speaker 3>On Tuesday, at.

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<v Speaker 2>The end of all of our banters, I'm like, how

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<v Speaker 2>are we going to get back on track? And you

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<v Speaker 2>always get us there.

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<v Speaker 1>Okay, it's sometimes a bigger step than I expect.

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<v Speaker 4>But.

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<v Speaker 2>You're good at jumping that chasm. So all right. So

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<v Speaker 2>today we're talking about paraparticles and I had never heard

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<v Speaker 2>of para particles before, and so let's see if our

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<v Speaker 2>audience is on the same page as Kelly. So we asked,

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<v Speaker 2>what are para particles? And here are the answers we got.

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<v Speaker 4>I wonder if it's something to do with larger things

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<v Speaker 4>showing particle light behavior in certain circumstances. I'm so glad

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<v Speaker 4>there isn't. TONI exam at the end of the podcast.

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<v Speaker 2>Piece of a particle, like a very small part of

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<v Speaker 2>the particle, some sort of entity that exists alongside the

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<v Speaker 2>traditional particles.

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<v Speaker 3>Somewhere between a real particle and a ghost particle, like

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<v Speaker 3>a virtual particle, and then it's enabling interactions with others.

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<v Speaker 4>I think it's like a super superposition. And it's one

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<v Speaker 4>of those weird things about quantum mechanics that if you

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<v Speaker 4>look at it, it just disappears off.

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<v Speaker 2>I might be particles that we believe exist but haven't

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<v Speaker 2>I prayed for yet.

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<v Speaker 3>Kind of like a particle but not quite.

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<v Speaker 2>Something that acts like a particle when certain conditions are.

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<v Speaker 3>Met at something that's almost a particle. Paraparticles rely on

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<v Speaker 3>their neighboring particle for existence. I'm completely stunned by this one.

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<v Speaker 2>The virtual particle pairs that spring to existence in a vacuum.

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<v Speaker 2>Is a paraparticle something that lives off of or takes

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<v Speaker 2>advantage of another particle?

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<v Speaker 3>Is it a paralyzed particle?

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<v Speaker 2>So lots of playing with what para means in other contexts.

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<v Speaker 2>I like it got you all are very clever.

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<v Speaker 1>But they missed the obvious. Nobody went for the connection

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<v Speaker 1>to parasites.

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<v Speaker 2>Guys, Guys, I work so oft hard so hard. Oh wait, no, no, no,

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<v Speaker 2>that's not true. Somebody said, relying on their neighbors for existence,

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<v Speaker 2>that's their parasitical particles. That's right way to go, that

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<v Speaker 2>particular audience member. Thank you for paying attention all this time.

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<v Speaker 1>I was just glad that nobody went for the sort

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<v Speaker 1>of anti academic grifter line, the like academics are just

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<v Speaker 1>parasites on society and they're sucking money and scams and

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<v Speaker 1>don't really believe anything they're doing, all that bad faith

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<v Speaker 1>nonsense you sometimes see in various corners of the internet.

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<v Speaker 2>Oh wow, are you I feel like there's a bit

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<v Speaker 2>of insecurity today.

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<v Speaker 1>I just want to address the reality, you know, that

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<v Speaker 1>kind of stuff is out there in the universe. Anyway,

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<v Speaker 1>I was very happy to hear all these positive and

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<v Speaker 1>constructive answers. Thanks everybody. If you'd like to contribute your

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<v Speaker 1>ideas for future episodes, don't be shy right to us

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<v Speaker 1>two questions at Daniel and Kelly dot org. You can

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<v Speaker 1>hear your voice on the podcast.

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<v Speaker 2>Amazing. All right, So let's dig in. So what are

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<v Speaker 2>a particle? So you said in the introduction that there

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<v Speaker 2>are maybe three kinds of particles. Can we start by

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<v Speaker 2>reviewing the first two kinds, because I'm sure that you've

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<v Speaker 2>mentioned in the past that particles come in matter and

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<v Speaker 2>force flavors. But every once in a while, at the

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<v Speaker 2>end of an episode, I'll discover my brain has reached

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<v Speaker 2>capacity and maybe some stuff overflowed out the top, and

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<v Speaker 2>so remind me what are meta particles? What are force particles?

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<v Speaker 2>And then we'll get into this third kind.

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<v Speaker 3>Yeah, sure, no problem. I'd be careful with the word flavor.

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<v Speaker 1>Though flavor has a particular meaning in particle physics, it

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<v Speaker 1>means something else, and it's not like you know, cookie

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<v Speaker 1>dough and mint chocolate chip. It's like the difference between

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<v Speaker 1>electrons and muons and towels or different flavors of leptons.

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<v Speaker 2>Like that's an actual like physics jargon term is flavors.

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<v Speaker 1>Oh absolutely, And there's amazing the whole subfield of particle

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<v Speaker 1>physics called flavor physics. And then the people who work

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<v Speaker 1>on the flavor of particles that have a lot of mass,

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<v Speaker 1>that's called heavy flavor physics, which sounds like it should

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<v Speaker 1>be a hip hop group, but it really is a

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<v Speaker 1>bunch of nerds.

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<v Speaker 2>Well, you know, nerds can have hip hop groups. You

0:12:03.040 --> 0:12:05.360
<v Speaker 2>don't have to be so judgy.

0:12:05.679 --> 0:12:07.640
<v Speaker 3>Yeah, heavy flavor flakes, let's hear it.

0:12:08.160 --> 0:12:08.760
<v Speaker 2>I love it.

0:12:10.240 --> 0:12:10.600
<v Speaker 3>All right.

0:12:10.679 --> 0:12:14.359
<v Speaker 1>So today we're talking about one way to distinguish particles,

0:12:14.720 --> 0:12:17.520
<v Speaker 1>and that's by their spin. So there are particles that

0:12:17.559 --> 0:12:20.520
<v Speaker 1>make up matter, me and you, and everything that's out

0:12:20.559 --> 0:12:22.880
<v Speaker 1>there and everything you've ever eaten are made out of

0:12:22.960 --> 0:12:26.760
<v Speaker 1>quarks and lectons. So the upcork and the down cork

0:12:26.880 --> 0:12:30.240
<v Speaker 1>make up protons and neutrons. You add electrons, which are

0:12:30.360 --> 0:12:32.920
<v Speaker 1>kind of lefton, and you can make any atom. Right

0:12:33.040 --> 0:12:35.360
<v Speaker 1>from that, you can make any molecule. And anything anybody

0:12:35.360 --> 0:12:37.840
<v Speaker 1>has ever seen or thrown at their sister is made

0:12:37.840 --> 0:12:40.120
<v Speaker 1>out of this kind of stuff, right, Okay, So this

0:12:40.200 --> 0:12:43.600
<v Speaker 1>is what we call matter particles. And all these particles

0:12:43.600 --> 0:12:46.160
<v Speaker 1>have something in common, which is their quantum spin has

0:12:46.240 --> 0:12:48.200
<v Speaker 1>units of one half, which means they can have spin

0:12:48.400 --> 0:12:51.760
<v Speaker 1>up one half or spin down one half. So all

0:12:51.800 --> 0:12:55.719
<v Speaker 1>these particles, which we call fermions after Enrico Fermi, these

0:12:55.760 --> 0:12:58.960
<v Speaker 1>are matter particles. They're particles with one half spin.

0:12:59.280 --> 0:13:02.120
<v Speaker 2>Can you help me like visualize that, like, are they

0:13:02.200 --> 0:13:03.280
<v Speaker 2>actually spinning?

0:13:03.720 --> 0:13:06.760
<v Speaker 1>M You know the answer to that question, Kelly is

0:13:06.880 --> 0:13:11.800
<v Speaker 1>nobody knows. Quantum spin is a super fascinating topic because

0:13:11.840 --> 0:13:14.839
<v Speaker 1>on one hand, it's very different from a real spin,

0:13:14.920 --> 0:13:17.320
<v Speaker 1>like normal spin, like you take a ball and you

0:13:17.400 --> 0:13:19.679
<v Speaker 1>spin it. We can talk about the angular momentum, we

0:13:19.720 --> 0:13:22.040
<v Speaker 1>can talk about the velocity on the surface. A classical

0:13:22.040 --> 0:13:25.720
<v Speaker 1>object has spin and it has angular momentum, right, And

0:13:25.760 --> 0:13:27.800
<v Speaker 1>we know that that angler momentum is important to the

0:13:27.880 --> 0:13:31.240
<v Speaker 1>universe because it's preserved. Like if you spin a ball

0:13:31.320 --> 0:13:34.280
<v Speaker 1>in space, it keeps spinning. And the reason that like

0:13:34.360 --> 0:13:37.760
<v Speaker 1>our galaxy is spinning is because of conservation of angular momentum.

0:13:37.840 --> 0:13:40.319
<v Speaker 1>The reason the solar system has the shape that it does,

0:13:40.600 --> 0:13:43.120
<v Speaker 1>it's like sort of flat. The way the galaxy is

0:13:43.120 --> 0:13:45.599
<v Speaker 1>a disc is because of angle momentum. Anglementum is a

0:13:45.600 --> 0:13:48.480
<v Speaker 1>really big important thing in the universe. Things really do spin.

0:13:49.280 --> 0:13:53.119
<v Speaker 1>Quantum particles don't spin in the same way because electrons

0:13:53.120 --> 0:13:56.559
<v Speaker 1>are not tiny little balls. And like one hundred years ago,

0:13:56.600 --> 0:13:58.120
<v Speaker 1>when they were thinking about this, they were like, well,

0:13:58.160 --> 0:13:59.920
<v Speaker 1>what if they spin, how fast would they be spin?

0:14:00.480 --> 0:14:03.360
<v Speaker 1>They try to calculate, like how fast the surface of

0:14:03.400 --> 0:14:05.480
<v Speaker 1>an electron is spinning, and you get an answer that's

0:14:05.480 --> 0:14:08.920
<v Speaker 1>like higher than the speed of light. So it's obviously nonsense.

0:14:09.400 --> 0:14:11.040
<v Speaker 1>Whenever you do physics and you get an answer that

0:14:11.040 --> 0:14:13.480
<v Speaker 1>doesn't make sense, like something has gone wrong along the

0:14:13.520 --> 0:14:14.160
<v Speaker 1>way right.

0:14:14.200 --> 0:14:15.400
<v Speaker 2>Or you've created a new field.

0:14:17.600 --> 0:14:20.240
<v Speaker 1>In this case, the answer is that these are quantum particles.

0:14:20.240 --> 0:14:22.280
<v Speaker 1>They're not classical, so you can think of them as

0:14:22.360 --> 0:14:25.840
<v Speaker 1>existing physically the same way, where every part of them

0:14:25.960 --> 0:14:29.440
<v Speaker 1>has a location every moment in time, so they don't

0:14:29.480 --> 0:14:32.840
<v Speaker 1>physically spin. You shouldn't think about these quantum particles as

0:14:32.880 --> 0:14:35.880
<v Speaker 1>like little balls that are spinning, and so you might ask, well,

0:14:35.920 --> 0:14:37.800
<v Speaker 1>if it's not spinning, why do you call it spin.

0:14:38.160 --> 0:14:40.120
<v Speaker 1>We call it spin because it has a lot of

0:14:40.160 --> 0:14:44.640
<v Speaker 1>the same properties as classical objects spin. For example, it's

0:14:44.680 --> 0:14:49.240
<v Speaker 1>conserved right, and it's conserved together with other kinds of

0:14:49.240 --> 0:14:52.560
<v Speaker 1>angular momentum, meaning that what the universe cares about is

0:14:52.600 --> 0:14:56.280
<v Speaker 1>the total angler momentum, including spin. So you can convert

0:14:56.280 --> 0:14:59.400
<v Speaker 1>like normal angler momentum like the Earth is spinning, into

0:14:59.560 --> 0:15:03.280
<v Speaker 1>quantum angle momentum spin, and back and forth. The universe

0:15:03.320 --> 0:15:05.600
<v Speaker 1>requires you to conserve the sum of those two, which

0:15:05.640 --> 0:15:08.880
<v Speaker 1>tells you they're like the same kind of thing the

0:15:08.880 --> 0:15:11.560
<v Speaker 1>same way that like energy is often conserved, but it's

0:15:11.600 --> 0:15:14.840
<v Speaker 1>the sum of kinetic and potential energies. Which tells you like, Okay,

0:15:14.880 --> 0:15:17.160
<v Speaker 1>these are two kinds of the same thing, because what

0:15:17.200 --> 0:15:19.520
<v Speaker 1>the universe cares about is the sum of them, not

0:15:19.600 --> 0:15:23.560
<v Speaker 1>the individual ones. So we know that quantum spin is

0:15:23.600 --> 0:15:27.800
<v Speaker 1>similar to real spin classical spin because the universe conserves

0:15:27.840 --> 0:15:30.880
<v Speaker 1>the sum of those things, and quantum spin has other

0:15:30.960 --> 0:15:34.360
<v Speaker 1>similar properties, like things that have quantum spin and electric

0:15:34.440 --> 0:15:38.360
<v Speaker 1>charge have little magnetic fields because charges in motion give

0:15:38.400 --> 0:15:41.280
<v Speaker 1>magnetic fields. So like an electron which is spinning, has

0:15:41.320 --> 0:15:43.880
<v Speaker 1>a little magnetic field, and that's why it's like bent

0:15:43.960 --> 0:15:47.440
<v Speaker 1>by magnetic fields, et cetera, et cetera. So we don't

0:15:47.480 --> 0:15:49.400
<v Speaker 1>really know what it is, but we know that it

0:15:49.440 --> 0:15:52.280
<v Speaker 1>acts a lot like spin, so we call it quantum spin,

0:15:53.120 --> 0:15:54.920
<v Speaker 1>which I think is a pretty good name, even though

0:15:54.960 --> 0:15:55.680
<v Speaker 1>it's not spinning.

0:15:57.800 --> 0:16:00.200
<v Speaker 2>Okay, all right, So I usually to hear things like

0:16:00.240 --> 0:16:02.120
<v Speaker 2>four times before they stick in my brain. I think

0:16:02.120 --> 0:16:05.040
<v Speaker 2>we're at like two, so be prepared to repeat that.

0:16:05.600 --> 0:16:09.480
<v Speaker 2>But so to try to help me, all right, So, fermions,

0:16:08.720 --> 0:16:12.920
<v Speaker 2>these are the mass or the matter particles. Yes, and

0:16:12.960 --> 0:16:16.160
<v Speaker 2>so I'm gonna think of fermions as like it's firm matter.

0:16:16.240 --> 0:16:19.080
<v Speaker 2>It makes us be although you know now you're gonna

0:16:19.080 --> 0:16:22.040
<v Speaker 2>misspell fermions from here on out because it's not spelled

0:16:22.120 --> 0:16:24.800
<v Speaker 2>like firm. But anyway, all right, that's how I'm remembering it.

0:16:24.840 --> 0:16:27.200
<v Speaker 2>And so now let's talk about force. And so I

0:16:27.240 --> 0:16:30.960
<v Speaker 2>always thought force was like a field, and I didn't

0:16:30.960 --> 0:16:34.440
<v Speaker 2>think of it as a particle anyway. So let's go on.

0:16:34.560 --> 0:16:38.360
<v Speaker 2>So the bosons are force particles.

0:16:38.160 --> 0:16:40.240
<v Speaker 1>Yes, And let me also liabrate on the comment you

0:16:40.320 --> 0:16:43.360
<v Speaker 1>made about field versus particles. There are two ways of

0:16:43.480 --> 0:16:46.720
<v Speaker 1>thinking about what stuff is and how it's pushed. One

0:16:46.880 --> 0:16:49.440
<v Speaker 1>is the field picture, which is really natural to a

0:16:49.480 --> 0:16:53.000
<v Speaker 1>lot of particle physicists. There's an electron field, and the

0:16:53.000 --> 0:16:55.720
<v Speaker 1>electron is actually just a ripple in that field, and

0:16:55.840 --> 0:16:59.160
<v Speaker 1>there's an electromagnetic field, and photons are ripples in that field.

0:16:59.640 --> 0:17:02.000
<v Speaker 1>And in that view, the fields are the fundamental thing,

0:17:02.240 --> 0:17:04.679
<v Speaker 1>and particles are just ripples in those things. They are

0:17:04.680 --> 0:17:07.560
<v Speaker 1>like emerging phenomena from the fields, and the fields can interact.

0:17:07.840 --> 0:17:10.119
<v Speaker 1>And we talk about that picture a lot on the podcast.

0:17:10.840 --> 0:17:13.280
<v Speaker 1>There's another way to think about things and say, you know,

0:17:13.440 --> 0:17:15.720
<v Speaker 1>fields are just like a construct in our minds. We

0:17:15.760 --> 0:17:18.960
<v Speaker 1>never see them directly. We only see them acting on particles,

0:17:19.000 --> 0:17:21.239
<v Speaker 1>and the particles are the things we can see. We

0:17:21.280 --> 0:17:25.240
<v Speaker 1>see dots on the screen, we see electrons moving through wires, etc.

0:17:25.840 --> 0:17:28.800
<v Speaker 1>So particles are the real things. And so from that

0:17:28.840 --> 0:17:31.840
<v Speaker 1>point of view, we have electrons and they're little particles,

0:17:31.880 --> 0:17:34.159
<v Speaker 1>and we have quarks and their little particles, and then

0:17:34.200 --> 0:17:36.800
<v Speaker 1>the forces we can talk about other particles. So we

0:17:36.880 --> 0:17:39.920
<v Speaker 1>have like the photon. What happens when two electrons repel

0:17:39.920 --> 0:17:43.600
<v Speaker 1>each other, they exchange photons. So this is the particle

0:17:43.640 --> 0:17:46.440
<v Speaker 1>picture of the universe. Everything is made out of little particles,

0:17:46.840 --> 0:17:49.840
<v Speaker 1>and it can explain matter. It's a little bit more awkward,

0:17:49.840 --> 0:17:52.440
<v Speaker 1>but it can also explain forces right in that picture,

0:17:52.440 --> 0:17:55.520
<v Speaker 1>like electrons exchange photons. That's the way they attract or

0:17:55.560 --> 0:17:58.200
<v Speaker 1>repel each other. And it's a little bit awkward because

0:17:58.240 --> 0:18:01.400
<v Speaker 1>like how exactly they do electrons and positrons attract each

0:18:01.400 --> 0:18:02.800
<v Speaker 1>other by exchanging photons.

0:18:03.040 --> 0:18:04.000
<v Speaker 3>It's hard to imagine you.

0:18:04.000 --> 0:18:07.280
<v Speaker 1>Could like attract Zach by throwing a ball at him, right,

0:18:07.320 --> 0:18:09.720
<v Speaker 1>it feels like it would only push him away. But

0:18:09.840 --> 0:18:11.760
<v Speaker 1>you know, this is the quantum world, and you can

0:18:11.800 --> 0:18:14.199
<v Speaker 1>do weird things like you can throw a photon with

0:18:14.320 --> 0:18:18.000
<v Speaker 1>negative momentum, so when Zach catches it, he's pulled towards you.

0:18:18.040 --> 0:18:20.480
<v Speaker 1>It's like a tractor beam photon.

0:18:20.600 --> 0:18:24.399
<v Speaker 2>And biology is too complicated, doesn't make sense. What are

0:18:24.440 --> 0:18:25.040
<v Speaker 2>you guys thinking?

0:18:26.920 --> 0:18:28.720
<v Speaker 1>Yeah, yeah, And this is one reason why I think

0:18:28.720 --> 0:18:30.640
<v Speaker 1>the field picture is a little bit more natural.

0:18:31.119 --> 0:18:31.920
<v Speaker 3>But anyway, we can.

0:18:31.840 --> 0:18:35.320
<v Speaker 1>Talk about these forces as mediated by particles. And these

0:18:35.359 --> 0:18:38.000
<v Speaker 1>particles have a property which is that they don't have

0:18:38.200 --> 0:18:40.840
<v Speaker 1>half integer spin like one half or negative one half.

0:18:40.880 --> 0:18:43.520
<v Speaker 1>They have integer spin. So a photon, for example, can

0:18:43.560 --> 0:18:46.960
<v Speaker 1>have spin one, spin zero or spin negative one. And

0:18:47.080 --> 0:18:49.679
<v Speaker 1>the W boson and the Z boson, and the Higgs

0:18:49.680 --> 0:18:52.800
<v Speaker 1>boson and the gluons, all the particles that correspond to

0:18:52.880 --> 0:18:56.000
<v Speaker 1>the forces and how matter particles exchange momentum, they all

0:18:56.040 --> 0:18:59.440
<v Speaker 1>have the same property that their spin is integer values,

0:18:59.520 --> 0:19:02.840
<v Speaker 1>you know, half it's like plus two minus one, this

0:19:02.960 --> 0:19:06.000
<v Speaker 1>kind of stuff. So those are particles we call bosons.

0:19:06.359 --> 0:19:09.280
<v Speaker 1>So the fermions and the matter particles, the bosons are

0:19:09.359 --> 0:19:11.439
<v Speaker 1>the force particles in this picture.

0:19:11.720 --> 0:19:14.720
<v Speaker 2>All right, So now we've got through the two kinds

0:19:14.720 --> 0:19:16.720
<v Speaker 2>of particles, and let's bring a little bit of pep

0:19:16.760 --> 0:19:19.800
<v Speaker 2>into this conversation after the break, So we'll talk about

0:19:19.800 --> 0:19:42.479
<v Speaker 2>the Paul exclusion principle when we get back all right,

0:19:42.760 --> 0:19:46.680
<v Speaker 2>So we've established that we have two kinds of particles.

0:19:46.680 --> 0:19:49.840
<v Speaker 2>We've got the fermions, which are the matter particles, and

0:19:49.880 --> 0:19:53.240
<v Speaker 2>the bosons, which are the force particles. Why does it

0:19:53.280 --> 0:19:55.880
<v Speaker 2>matter that we divide them in this way? Why can't

0:19:55.880 --> 0:19:57.040
<v Speaker 2>they all just be particles.

0:19:58.920 --> 0:20:02.800
<v Speaker 1>They are all just partticles or fields equivalently, but they

0:20:02.840 --> 0:20:07.000
<v Speaker 1>have very different behaviors, and that behavior is really important. Specifically,

0:20:07.080 --> 0:20:10.440
<v Speaker 1>bosons can do something fermions will never ever ever do,

0:20:11.000 --> 0:20:13.720
<v Speaker 1>which is, bosons can be in the same quantum state

0:20:14.000 --> 0:20:17.840
<v Speaker 1>and fermions never will. So you made this joke about PEP.

0:20:18.119 --> 0:20:23.080
<v Speaker 1>The poly exclusion principle, named after Wolfgunning Poll says that

0:20:23.200 --> 0:20:26.320
<v Speaker 1>no two fermions can ever be in the same quantum state.

0:20:26.440 --> 0:20:29.480
<v Speaker 1>So if you have two identical particles like two electrons,

0:20:29.800 --> 0:20:33.200
<v Speaker 1>they can't have all the same quantum description, which would

0:20:33.200 --> 0:20:37.719
<v Speaker 1>be like their location, their momentum, their spin, their energy,

0:20:37.800 --> 0:20:40.360
<v Speaker 1>all this kind of stuff. They can't be identical. They

0:20:40.440 --> 0:20:43.240
<v Speaker 1>have to be unique. Every fermion has to have a

0:20:43.280 --> 0:20:44.399
<v Speaker 1>different quantum state.

0:20:44.680 --> 0:20:46.239
<v Speaker 2>Does it make sense to think of that? So our

0:20:46.280 --> 0:20:49.800
<v Speaker 2>fermions are our matter particles. Does it make sense to

0:20:49.880 --> 0:20:52.960
<v Speaker 2>think of it as like two pieces of matter can't

0:20:53.359 --> 0:20:55.919
<v Speaker 2>take up the same space. Or this is like a

0:20:55.960 --> 0:20:58.400
<v Speaker 2>totally different thing than thinking about it that way.

0:20:58.720 --> 0:21:01.320
<v Speaker 1>Two pieces of matter can't up the same space as

0:21:01.359 --> 0:21:04.600
<v Speaker 1>long as they have something to differentiate them. So, for example,

0:21:04.640 --> 0:21:07.720
<v Speaker 1>electrons have two possible spins right, spin up and spin down.

0:21:08.240 --> 0:21:10.280
<v Speaker 1>So in the ground state of an atom, for example,

0:21:10.480 --> 0:21:14.000
<v Speaker 1>you can have two electrons with exactly the same energy,

0:21:14.040 --> 0:21:16.840
<v Speaker 1>the same momentum, the same location, the same energy, the

0:21:16.880 --> 0:21:19.320
<v Speaker 1>same everything, but one is spin up and the other

0:21:19.400 --> 0:21:22.920
<v Speaker 1>is spin down. That's why you have two electrons in

0:21:22.960 --> 0:21:25.960
<v Speaker 1>the lowest state. That's where that two comes from. Because

0:21:26.000 --> 0:21:28.720
<v Speaker 1>there are two options for spin. You can't have two

0:21:28.720 --> 0:21:31.440
<v Speaker 1>electrons both spin up, and you can't have two electrons

0:21:31.440 --> 0:21:32.160
<v Speaker 1>both spin down.

0:21:32.440 --> 0:21:33.480
<v Speaker 3>Because of this poly.

0:21:33.480 --> 0:21:36.520
<v Speaker 1>Exclusion principle, it says you can never have two electrons

0:21:36.520 --> 0:21:39.600
<v Speaker 1>in the same state, and that's why you don't get

0:21:39.640 --> 0:21:41.840
<v Speaker 1>all of the electrons in the ground state. If you

0:21:41.960 --> 0:21:44.399
<v Speaker 1>already have two electrons in that ground state, it's full.

0:21:44.600 --> 0:21:47.399
<v Speaker 1>It can't take anymore. There's no third spin right, So

0:21:47.440 --> 0:21:50.040
<v Speaker 1>when another electron comes along, it has to have a

0:21:50.080 --> 0:21:52.480
<v Speaker 1>higher energy, has to be in the next energy level

0:21:52.680 --> 0:21:55.800
<v Speaker 1>because the lowest rungs are filled and it's one electron

0:21:55.880 --> 0:21:58.520
<v Speaker 1>per unique state, right, So the lowest energy level has

0:21:58.560 --> 0:22:01.560
<v Speaker 1>two of those. The next one, because has more energy,

0:22:01.840 --> 0:22:04.919
<v Speaker 1>has more options for like where the electron it is

0:22:05.040 --> 0:22:07.600
<v Speaker 1>around the atom this p state. Now we're getting deep

0:22:07.600 --> 0:22:12.280
<v Speaker 1>into chemistry, some beyond my expertise right away. But that's

0:22:12.320 --> 0:22:14.639
<v Speaker 1>why you can have more electrons in that second one,

0:22:14.920 --> 0:22:16.600
<v Speaker 1>and then more in the third level and more in

0:22:16.640 --> 0:22:20.560
<v Speaker 1>the fourth because there's more options for differentiating exactly which

0:22:20.720 --> 0:22:23.520
<v Speaker 1>version of that energy level you're in. And this is

0:22:23.520 --> 0:22:26.720
<v Speaker 1>why we have chemistry. This is why gold looks the

0:22:26.720 --> 0:22:28.920
<v Speaker 1>way it does. This is why we have water, this

0:22:28.960 --> 0:22:32.119
<v Speaker 1>is why atoms bind together. This is why our whole

0:22:32.280 --> 0:22:36.479
<v Speaker 1>universe looks the way that it does, because fermions cannot

0:22:36.480 --> 0:22:37.359
<v Speaker 1>be in the same state.

0:22:37.680 --> 0:22:41.199
<v Speaker 2>Now, is this an observation of what's happening or do

0:22:41.280 --> 0:22:44.640
<v Speaker 2>we understand why it has to be that way.

0:22:45.240 --> 0:22:47.520
<v Speaker 1>It's still a little bit mysterious, Like, it's definitely an

0:22:47.560 --> 0:22:51.400
<v Speaker 1>observation and we've never ever seen it violated. And if

0:22:51.440 --> 0:22:53.840
<v Speaker 1>it was violated, like the whole universe would look different,

0:22:53.840 --> 0:22:56.440
<v Speaker 1>Like if somebody turned this rule off and said, hey, fermeons,

0:22:56.520 --> 0:22:59.080
<v Speaker 1>no problem. You can now share a state. All of

0:22:59.119 --> 0:23:00.000
<v Speaker 1>matter would collapse.

0:23:00.720 --> 0:23:03.440
<v Speaker 2>Bad news exactly, it would.

0:23:03.200 --> 0:23:04.880
<v Speaker 1>Be bad news. So I don't recommend it. If you're

0:23:04.920 --> 0:23:06.800
<v Speaker 1>sitting in the Universe control room and you have your

0:23:06.840 --> 0:23:10.520
<v Speaker 1>finger on that knob, call me please before you do anything.

0:23:11.119 --> 0:23:13.879
<v Speaker 1>We do have some handwavy explanations for why it is.

0:23:14.440 --> 0:23:17.040
<v Speaker 1>We don't have a really full formal proof. We can't

0:23:17.040 --> 0:23:20.760
<v Speaker 1>go from like, here are the fields, here's how Fermions

0:23:20.760 --> 0:23:23.600
<v Speaker 1>will behave. What we can do is prove the negative,

0:23:23.760 --> 0:23:27.680
<v Speaker 1>like we can show why Fermions can't do this thing,

0:23:28.440 --> 0:23:30.560
<v Speaker 1>Like we can show that if Fermions did this thing,

0:23:30.880 --> 0:23:33.320
<v Speaker 1>it would lead to some contradictions. So I'm trying to

0:23:33.320 --> 0:23:36.280
<v Speaker 1>walk you through a handwavy version of that proof in

0:23:36.320 --> 0:23:40.439
<v Speaker 1>a minute. But we couldn't have started from scratch and

0:23:40.640 --> 0:23:44.560
<v Speaker 1>really shown how this happens. And Fineman famously said that

0:23:44.560 --> 0:23:46.840
<v Speaker 1>we don't have a full proof, and also it's really

0:23:46.920 --> 0:23:50.679
<v Speaker 1>challenging to give an intuitive explanation for this because quote,

0:23:50.720 --> 0:23:53.399
<v Speaker 1>we do not have a complete understanding of the fundamental

0:23:53.400 --> 0:23:56.879
<v Speaker 1>principle involved. Finan was big on this theory that like,

0:23:57.040 --> 0:24:00.240
<v Speaker 1>if you can't explain it simply, you don't really understand it,

0:24:00.840 --> 0:24:03.400
<v Speaker 1>which I think is really interesting as a hypothesis because

0:24:03.400 --> 0:24:05.040
<v Speaker 1>it kind of lines up with what we were talking

0:24:05.040 --> 0:24:08.400
<v Speaker 1>about earlier, and it touches on something we were talking about,

0:24:08.440 --> 0:24:10.479
<v Speaker 1>I think on the discord of like how on this

0:24:10.520 --> 0:24:13.359
<v Speaker 1>pod we're constantly trying to explain complicated stuff in an

0:24:13.359 --> 0:24:15.800
<v Speaker 1>intuitive way. Without all the math. You can't just be like,

0:24:15.960 --> 0:24:17.960
<v Speaker 1>here's a bunch of math. This math tells you what

0:24:18.000 --> 0:24:20.520
<v Speaker 1>the answer is. We want to tell a story that

0:24:20.640 --> 0:24:23.399
<v Speaker 1>connects with the ideas in your head, so you go, oh,

0:24:23.680 --> 0:24:24.440
<v Speaker 1>that makes sense.

0:24:24.560 --> 0:24:25.000
<v Speaker 3>I get it.

0:24:25.119 --> 0:24:27.719
<v Speaker 1>Why it's this way and not the other way. And

0:24:27.760 --> 0:24:31.680
<v Speaker 1>that's very different from the mathematical explanation or concepts that

0:24:31.720 --> 0:24:33.959
<v Speaker 1>we often have in academia and we teach in college

0:24:34.000 --> 0:24:36.040
<v Speaker 1>and in graduate school, and that most physicists have in

0:24:36.080 --> 0:24:39.959
<v Speaker 1>their minds. This is like an intuitive grasp of something

0:24:40.320 --> 0:24:42.560
<v Speaker 1>you have to develop in order to explain it and

0:24:42.640 --> 0:24:44.960
<v Speaker 1>find me is saying that without that extra piece, this

0:24:45.160 --> 0:24:49.159
<v Speaker 1>like parallel explanation, that's intuitive, you don't really understand it.

0:24:49.560 --> 0:24:52.080
<v Speaker 1>And I think that's fascinating and maybe correct. But it's

0:24:52.280 --> 0:24:54.720
<v Speaker 1>a pretty strong statement of philosophy for a guy who

0:24:54.760 --> 0:24:56.360
<v Speaker 1>was famously against philosophy.

0:24:56.680 --> 0:24:59.040
<v Speaker 2>Yeah, and how do you think he would feel about

0:24:59.080 --> 0:25:02.080
<v Speaker 2>the current state of things today. Although I'm gonna go

0:25:02.080 --> 0:25:04.280
<v Speaker 2>ahead and admit that I hate questions where they're like,

0:25:04.280 --> 0:25:06.520
<v Speaker 2>what do you think Benjamin Franklin would think about blah

0:25:06.560 --> 0:25:09.159
<v Speaker 2>blah blah. It's like, I'm not Benjamin Franklin, and if

0:25:09.240 --> 0:25:11.040
<v Speaker 2>he was raised in our time, you might feel totally

0:25:11.080 --> 0:25:11.960
<v Speaker 2>different about things.

0:25:12.160 --> 0:25:15.040
<v Speaker 1>Yeah, Feineman is a complicated character because, on one hand,

0:25:15.560 --> 0:25:19.879
<v Speaker 1>super genius dude, lots of important insights, also lots of

0:25:19.920 --> 0:25:23.399
<v Speaker 1>great explanations, and he did something which I think is

0:25:23.440 --> 0:25:26.159
<v Speaker 1>really impressive that I've never seen before, which is he

0:25:26.200 --> 0:25:27.840
<v Speaker 1>came up with an explanation of or a concept in

0:25:27.840 --> 0:25:30.720
<v Speaker 1>this case Nuther's theorem in one of his popular books,

0:25:30.760 --> 0:25:35.240
<v Speaker 1>like for a popular Audience, and that explanation then got

0:25:35.240 --> 0:25:38.760
<v Speaker 1>transformed into a full rigorous proof, which is now the

0:25:38.760 --> 0:25:42.120
<v Speaker 1>go to rigorous proof you find in like formal physics books.

0:25:42.560 --> 0:25:44.520
<v Speaker 1>Usually things go the other way, you like, start with

0:25:44.520 --> 0:25:47.200
<v Speaker 1>a full rigorous proof and then you develop the intuitive explanation.

0:25:47.560 --> 0:25:49.720
<v Speaker 1>But he actually came up with it for the general

0:25:49.800 --> 0:25:52.760
<v Speaker 1>public and then it turned into a rigorous proof, So

0:25:52.840 --> 0:25:55.159
<v Speaker 1>that's pretty cool. Like, the guy definitely had talents and

0:25:55.200 --> 0:25:58.639
<v Speaker 1>lots of different directions. He's also famously kind of a jerk,

0:25:59.640 --> 0:26:02.680
<v Speaker 1>and so it's sort of a problematic figure in that sense.

0:26:02.720 --> 0:26:04.399
<v Speaker 1>I think if finally we're a lot today, he probably

0:26:04.400 --> 0:26:06.640
<v Speaker 1>would feel grumpy that people had come up with stuff

0:26:06.640 --> 0:26:07.120
<v Speaker 1>without him.

0:26:09.040 --> 0:26:11.960
<v Speaker 3>Great, I don't know Hardy.

0:26:12.160 --> 0:26:15.000
<v Speaker 2>Well, he's in our past. He's in the rear view mirror. Okay.

0:26:15.080 --> 0:26:19.240
<v Speaker 2>So we have observed that fermions don't occupy the same state.

0:26:19.520 --> 0:26:21.680
<v Speaker 2>We kind of understand why it would be nice to

0:26:21.760 --> 0:26:22.520
<v Speaker 2>understand better.

0:26:22.920 --> 0:26:26.119
<v Speaker 1>And we've observed that bosons can, right. We see this

0:26:26.240 --> 0:26:29.159
<v Speaker 1>all the time. Like you put two photons in a box,

0:26:29.240 --> 0:26:31.520
<v Speaker 1>they're very happy to sit right on top of each

0:26:31.560 --> 0:26:34.359
<v Speaker 1>other to be in exactly the same state. And this

0:26:34.440 --> 0:26:38.120
<v Speaker 1>lets you do things like make Bose Einstein condensates and

0:26:38.520 --> 0:26:42.800
<v Speaker 1>macroscopic objects that have quantum properties because all the photons

0:26:42.800 --> 0:26:44.639
<v Speaker 1>are in the same state, and you can't do that

0:26:44.680 --> 0:26:46.840
<v Speaker 1>with electrons. You put too many electrons together, they get

0:26:46.840 --> 0:26:48.800
<v Speaker 1>this degeneracy pressure. They don't want to be in the

0:26:48.800 --> 0:26:51.119
<v Speaker 1>same lowest state, so some of them have to be

0:26:51.160 --> 0:26:53.360
<v Speaker 1>in a higher energy state, and that's where you get

0:26:53.400 --> 0:26:57.440
<v Speaker 1>like pressure. That's why like white dwarves don't collapse because

0:26:57.440 --> 0:27:00.240
<v Speaker 1>the electrons inside them if they collapse would have to

0:27:00.320 --> 0:27:02.080
<v Speaker 1>end up being in the same lower energy state, and

0:27:02.080 --> 0:27:04.520
<v Speaker 1>they resist that they can't do it, and so like,

0:27:04.600 --> 0:27:07.560
<v Speaker 1>this has real impact in the universe, and it affects

0:27:07.600 --> 0:27:09.840
<v Speaker 1>how we do experiments and all sorts of stuff. And

0:27:09.880 --> 0:27:13.119
<v Speaker 1>so this is definitely real and we have some understanding

0:27:13.280 --> 0:27:13.760
<v Speaker 1>of how it.

0:27:13.720 --> 0:27:14.560
<v Speaker 3>Works, all right.

0:27:14.600 --> 0:27:19.840
<v Speaker 2>So fermions are our introverts and the bosons are our extroverts.

0:27:22.080 --> 0:27:24.399
<v Speaker 1>Electrons just want to be in their own house, like

0:27:24.440 --> 0:27:27.040
<v Speaker 1>watching their own TV show at night by themselves, and

0:27:27.080 --> 0:27:28.760
<v Speaker 1>photons are always up for a party.

0:27:29.040 --> 0:27:31.679
<v Speaker 2>Okay, So now we have a pretty good understanding of

0:27:32.200 --> 0:27:34.399
<v Speaker 2>fermions and bosons and what they can and can't do.

0:27:35.040 --> 0:27:36.840
<v Speaker 2>How do we get from here to paraparticles?

0:27:37.119 --> 0:27:37.480
<v Speaker 3>All right?

0:27:37.560 --> 0:27:41.200
<v Speaker 1>So to understand how paraparticles might fit into this picture,

0:27:41.280 --> 0:27:44.240
<v Speaker 1>because it sounds like there are only two options. Either

0:27:44.320 --> 0:27:47.160
<v Speaker 1>you have half into your spin, you know, one half,

0:27:47.200 --> 0:27:49.840
<v Speaker 1>three halves, five halves, or you have into your spin

0:27:50.040 --> 0:27:53.400
<v Speaker 1>zero one, two, three, whatever. What's another option? How could

0:27:53.440 --> 0:27:55.080
<v Speaker 1>you possibly have a third category?

0:27:55.200 --> 0:27:55.440
<v Speaker 3>Right?

0:27:55.800 --> 0:27:57.600
<v Speaker 1>And that was the prevailing wisdom for a long long

0:27:57.640 --> 0:28:01.600
<v Speaker 1>time until very recently. But to understand where the loophole is,

0:28:01.640 --> 0:28:05.120
<v Speaker 1>we've got to dig one level deeper into understanding why

0:28:05.160 --> 0:28:08.720
<v Speaker 1>fermions behave this way and why bosons behave the other way.

0:28:09.240 --> 0:28:11.280
<v Speaker 1>So we're going to go through this sort of rough

0:28:11.320 --> 0:28:14.920
<v Speaker 1>and imperfect proof of the poly exclusion principle to explain

0:28:15.040 --> 0:28:18.120
<v Speaker 1>why fermions behave one way and bosons the other way.

0:28:18.240 --> 0:28:20.000
<v Speaker 2>Daniel's got pep, All right, let's do that.

0:28:22.520 --> 0:28:26.720
<v Speaker 1>All right, So imagine two particles, particle one and particle two.

0:28:26.640 --> 0:28:29.480
<v Speaker 2>In typical physicist fashion. Those are very boring names for them, but.

0:28:29.520 --> 0:28:33.680
<v Speaker 1>Okay, okay, let's make them exciting names.

0:28:34.280 --> 0:28:36.479
<v Speaker 3>What would be exciting names for these particles? Now?

0:28:36.600 --> 0:28:38.720
<v Speaker 2>Feeling if we name them like Frank and Rita, it's

0:28:38.720 --> 0:28:41.600
<v Speaker 2>gonna be hard to keep track. Maybe one and two

0:28:41.760 --> 0:28:42.560
<v Speaker 2>was a good idea.

0:28:43.040 --> 0:28:48.440
<v Speaker 1>Okay, wow, that doctor criticism pretty quickly there. Alright, alright, alright,

0:28:48.480 --> 0:28:51.040
<v Speaker 1>so particle boring one in particle boring.

0:28:50.760 --> 0:28:51.520
<v Speaker 2>Two, all right.

0:28:51.760 --> 0:28:53.840
<v Speaker 1>Now, each of them can do one thing, right now,

0:28:53.920 --> 0:28:55.720
<v Speaker 1>They have two different options. They can be in state

0:28:55.760 --> 0:28:59.560
<v Speaker 1>A or state B. Okay, so particle A can do

0:28:59.600 --> 0:29:01.200
<v Speaker 1>two things. It can be in state A or it

0:29:01.240 --> 0:29:03.200
<v Speaker 1>can be in state B. Particle two can also be

0:29:03.240 --> 0:29:06.040
<v Speaker 1>in state A or state B. And then we can

0:29:06.040 --> 0:29:08.280
<v Speaker 1>describe the full quantum state of the pair of the

0:29:08.280 --> 0:29:12.200
<v Speaker 1>particles as saying like one A two B. That means

0:29:12.200 --> 0:29:14.960
<v Speaker 1>particle one is in state A, in particle two is

0:29:15.000 --> 0:29:15.760
<v Speaker 1>in state B.

0:29:16.120 --> 0:29:19.360
<v Speaker 2>Right, you could also have one B and two A, right,

0:29:19.400 --> 0:29:19.680
<v Speaker 2>and I.

0:29:19.640 --> 0:29:23.520
<v Speaker 1>Understanding absolutely exactly, And so let's do that. Let's take

0:29:23.520 --> 0:29:26.400
<v Speaker 1>our particles one A to B and let's swap them.

0:29:26.720 --> 0:29:30.160
<v Speaker 1>These are identical particles, okay, there's nothing different about them.

0:29:30.160 --> 0:29:32.200
<v Speaker 1>Every electron in the universe, for example, is the same.

0:29:32.840 --> 0:29:35.440
<v Speaker 1>And so let's just swap them. So we go from

0:29:35.480 --> 0:29:39.160
<v Speaker 1>one A to B to one B two A. Right now,

0:29:39.200 --> 0:29:42.640
<v Speaker 1>the quantum field theory of fermions, the math of fermions,

0:29:42.680 --> 0:29:45.960
<v Speaker 1>because they have spin one half. When you do this,

0:29:46.320 --> 0:29:49.160
<v Speaker 1>you get a minus sign. So you can't go from

0:29:49.160 --> 0:29:51.480
<v Speaker 1>one A to B just to one B two A.

0:29:52.120 --> 0:29:55.440
<v Speaker 1>You go to minus one B two A. You get

0:29:55.480 --> 0:29:59.160
<v Speaker 1>a negative sign in front of the quantum state. And

0:29:59.200 --> 0:30:01.800
<v Speaker 1>this has to do with what happens when you're swapping

0:30:01.840 --> 0:30:04.200
<v Speaker 1>them and you're making a face that tells me I

0:30:04.240 --> 0:30:05.760
<v Speaker 1>need to pause so you can ask a question.

0:30:06.680 --> 0:30:10.080
<v Speaker 2>Okay, So we said that you can have one A

0:30:10.320 --> 0:30:14.240
<v Speaker 2>to B as one state, and you can have one

0:30:14.280 --> 0:30:17.280
<v Speaker 2>B two A as another state. Yes, but I thought

0:30:17.320 --> 0:30:19.800
<v Speaker 2>that you were saying that, actually, you can't have one

0:30:19.840 --> 0:30:22.080
<v Speaker 2>B two A. It has to be negative one B

0:30:22.160 --> 0:30:22.480
<v Speaker 2>two A.

0:30:22.960 --> 0:30:24.959
<v Speaker 1>You can have one B two ah. Okay, but if

0:30:25.000 --> 0:30:27.080
<v Speaker 1>you start with one A two B and then you

0:30:27.160 --> 0:30:29.680
<v Speaker 1>swap them, you don't end up at one B two A,

0:30:29.840 --> 0:30:32.640
<v Speaker 1>which you end up with is negative one B two A.

0:30:32.960 --> 0:30:33.280
<v Speaker 2>Okay.

0:30:33.640 --> 0:30:36.200
<v Speaker 1>That's like saying, you know, take your driver's license and

0:30:36.720 --> 0:30:39.400
<v Speaker 1>or flip it around right, you don't necessarily get it

0:30:39.440 --> 0:30:41.800
<v Speaker 1>in this exactly the same orientation depending on how you

0:30:41.840 --> 0:30:42.280
<v Speaker 1>spin it.

0:30:42.400 --> 0:30:42.600
<v Speaker 3>Right.

0:30:43.120 --> 0:30:45.680
<v Speaker 1>Some things like a sphere, doesn't matter how you spin it,

0:30:45.680 --> 0:30:48.040
<v Speaker 1>you end up with exactly the same sphere as perfect symmetry.

0:30:48.560 --> 0:30:51.800
<v Speaker 1>Other things have like a handedness or an orientation right,

0:30:51.800 --> 0:30:54.440
<v Speaker 1>like or take your left hand and turn it around.

0:30:54.520 --> 0:30:56.960
<v Speaker 1>It doesn't look exactly like your right hand. Right, maybe

0:30:56.960 --> 0:30:59.000
<v Speaker 1>it looks like a mirror image of your right hand.

0:30:59.040 --> 0:31:02.040
<v Speaker 1>It's like negative of your right hand. So this is

0:31:02.040 --> 0:31:04.200
<v Speaker 1>the part where we're being like a little bit fuzzy

0:31:04.240 --> 0:31:07.880
<v Speaker 1>and sloppy. But fermions, because they spin one half when

0:31:07.920 --> 0:31:10.400
<v Speaker 1>you swap them, you get a negative sign in the

0:31:10.480 --> 0:31:11.160
<v Speaker 1>quantum state.

0:31:11.320 --> 0:31:15.360
<v Speaker 2>Okay, So that only happens with fermions, not with bosons.

0:31:15.560 --> 0:31:19.080
<v Speaker 1>Only with fermions, not with bosons. And that's what makes

0:31:19.120 --> 0:31:22.040
<v Speaker 1>this impossible. That's where we have a contradiction, right, because

0:31:22.720 --> 0:31:25.120
<v Speaker 1>say you have these two particles in the same state.

0:31:25.240 --> 0:31:28.160
<v Speaker 1>Say you started with one A two A, right, both

0:31:28.200 --> 0:31:29.400
<v Speaker 1>particles in the same state.

0:31:29.520 --> 0:31:32.360
<v Speaker 2>Can't do that, Okay, Oh no, you can with bosons.

0:31:32.000 --> 0:31:33.880
<v Speaker 1>You can with bosons. Well, let's say we have fermions

0:31:33.880 --> 0:31:35.720
<v Speaker 1>and we try to do that. Let's try to do

0:31:35.760 --> 0:31:38.040
<v Speaker 1>that and see what happens. Okay, so we have one

0:31:38.080 --> 0:31:40.640
<v Speaker 1>A two A where like we put two fermions in

0:31:40.720 --> 0:31:44.360
<v Speaker 1>the same place, in the same state. Okay, Well, now

0:31:44.400 --> 0:31:47.000
<v Speaker 1>let's swap them. Well, what happens. Quantum field theory says

0:31:47.040 --> 0:31:50.480
<v Speaker 1>we get negative one A two A. Okay, right, because

0:31:50.520 --> 0:31:52.880
<v Speaker 1>when we swap fermions we get a negative sign. But

0:31:52.880 --> 0:31:55.560
<v Speaker 1>these are supposed to be indistinguishable particles, so if you

0:31:55.600 --> 0:31:58.400
<v Speaker 1>swap them, you shouldn't get any change because there's no

0:31:58.440 --> 0:32:00.960
<v Speaker 1>real difference. You're swapping one A to two you have

0:32:01.040 --> 0:32:03.520
<v Speaker 1>to get one A two A. But quantum field theory says, no,

0:32:03.920 --> 0:32:06.640
<v Speaker 1>you have to get negative one A two A. So

0:32:06.680 --> 0:32:09.520
<v Speaker 1>we have two different rules. One that says if you

0:32:09.560 --> 0:32:12.160
<v Speaker 1>have particles in the same state and they're indistinguishable, and

0:32:12.200 --> 0:32:15.680
<v Speaker 1>you swap them, nothing happens. And the other rule from

0:32:15.760 --> 0:32:18.240
<v Speaker 1>field theory that says if they're fermions and you swap them,

0:32:18.320 --> 0:32:22.480
<v Speaker 1>you get a negative sign. Boom, that's a contradiction. So

0:32:22.520 --> 0:32:24.920
<v Speaker 1>that tells us you just can't do this. You can't

0:32:24.960 --> 0:32:27.800
<v Speaker 1>have fermions in the same state because then if you

0:32:27.800 --> 0:32:30.360
<v Speaker 1>swap them, you get a contradiction. Quantum field theory says

0:32:30.400 --> 0:32:33.200
<v Speaker 1>you're supposed to get a negative sign. Common sense says

0:32:33.520 --> 0:32:35.680
<v Speaker 1>you can't get a negative sign if you swap things

0:32:35.680 --> 0:32:36.440
<v Speaker 1>that aren't different.

0:32:36.680 --> 0:32:40.160
<v Speaker 2>Okay, So the Pauly exclusion principle is the result of

0:32:40.240 --> 0:32:41.960
<v Speaker 2>what happens with quantum field theory.

0:32:42.240 --> 0:32:45.320
<v Speaker 1>Yes, exactly. And you might think, well, what's this negative sign?

0:32:45.400 --> 0:32:47.960
<v Speaker 1>What is going on there? Remember that this negative sign

0:32:48.000 --> 0:32:51.720
<v Speaker 1>is part of the quantum state. It's not something we observe, right,

0:32:52.000 --> 0:32:54.240
<v Speaker 1>a negative sign and a quantum state is not observable

0:32:54.240 --> 0:32:56.840
<v Speaker 1>because every observable you make is only sensitive to the

0:32:56.920 --> 0:33:00.520
<v Speaker 1>quantum states squared. Remember quantum state. It can also be

0:33:00.600 --> 0:33:03.080
<v Speaker 1>like complex numbers. You can have like a wave function

0:33:03.160 --> 0:33:05.480
<v Speaker 1>has like four plus two I in it, and you

0:33:05.480 --> 0:33:08.000
<v Speaker 1>can't observe those things, but when you square it, the

0:33:08.040 --> 0:33:11.040
<v Speaker 1>imaginary part goes away, so we can't observe this. It's

0:33:11.080 --> 0:33:13.760
<v Speaker 1>like a hidden internal part of the quantum state. We

0:33:13.800 --> 0:33:16.680
<v Speaker 1>can't observe. And yet the math is there and it's real,

0:33:16.720 --> 0:33:18.960
<v Speaker 1>and it tells us that fermions cannot do this thing

0:33:19.000 --> 0:33:22.800
<v Speaker 1>because it leads to an inherent contradiction. Now, spin one particles,

0:33:22.840 --> 0:33:27.040
<v Speaker 1>bosons are different. Their rules when you swap them are different.

0:33:27.400 --> 0:33:29.640
<v Speaker 1>If you swap one A two B, and now you're

0:33:29.680 --> 0:33:32.680
<v Speaker 1>talking about bosons, you don't get the negative sign. You

0:33:32.800 --> 0:33:36.200
<v Speaker 1>just get one B two A. Everybody's happy. So if

0:33:36.240 --> 0:33:38.480
<v Speaker 1>you started with one A two A and you swap them,

0:33:38.720 --> 0:33:41.000
<v Speaker 1>quantum field theory says you get one A two A.

0:33:41.040 --> 0:33:43.920
<v Speaker 1>Common sense says you get one A two A, no contradiction.

0:33:44.360 --> 0:33:48.440
<v Speaker 1>Everybody's cool. It's that negative sign, that unobservable negative sign

0:33:48.480 --> 0:33:51.440
<v Speaker 1>in the quantum state that appears for fermions when you

0:33:51.480 --> 0:33:54.480
<v Speaker 1>swap them. That causes them to never be allowed to

0:33:54.480 --> 0:33:58.080
<v Speaker 1>be in the same quantum state if they're indistinguishable fermions.

0:33:58.520 --> 0:34:00.480
<v Speaker 2>Okay, so just to make sure that I'm under so

0:34:00.560 --> 0:34:03.440
<v Speaker 2>like negative one and one, they cancel each other out

0:34:03.480 --> 0:34:04.800
<v Speaker 2>when you add them together.

0:34:04.840 --> 0:34:06.560
<v Speaker 3>Or when you square them you get the same answer.

0:34:06.680 --> 0:34:09.759
<v Speaker 2>Okay, And so I should be keeping that in my head.

0:34:09.800 --> 0:34:13.400
<v Speaker 2>This isn't like we arbitrarily identified that some state is

0:34:13.480 --> 0:34:16.520
<v Speaker 2>negative one, and you could have called the states A, B,

0:34:16.680 --> 0:34:20.080
<v Speaker 2>and C. Like there is actually something about negative one

0:34:20.160 --> 0:34:24.680
<v Speaker 2>and one that is different in an important mathematical.

0:34:24.160 --> 0:34:28.040
<v Speaker 1>Way, exactly. And the important thing here is fermions have

0:34:28.120 --> 0:34:30.640
<v Speaker 1>a different kind of spin, and that changes what happens

0:34:30.640 --> 0:34:33.120
<v Speaker 1>when you swamp them and introduces this negative sign.

0:34:33.280 --> 0:34:33.560
<v Speaker 3>Okay.

0:34:33.680 --> 0:34:36.239
<v Speaker 1>And if you're curious about why that is exactly, this

0:34:36.320 --> 0:34:39.560
<v Speaker 1>is the bit that's famously impossible to explain with intuition.

0:34:39.920 --> 0:34:40.920
<v Speaker 3>We have math for it.

0:34:40.920 --> 0:34:43.720
<v Speaker 1>It's called the spin statistics theorem. And even Richard Meineman

0:34:43.800 --> 0:34:46.600
<v Speaker 1>couldn't come up with an intuitive explanation for it. So

0:34:46.680 --> 0:34:48.919
<v Speaker 1>I hope you're gonna excuse me for not having one either.

0:34:49.520 --> 0:34:51.279
<v Speaker 1>But if you take us out a word for that,

0:34:51.320 --> 0:34:53.240
<v Speaker 1>the fermions, when you swap them, you get a negative

0:34:53.280 --> 0:34:56.080
<v Speaker 1>sign that's not observable, but it does prevent them from

0:34:56.120 --> 0:34:58.400
<v Speaker 1>ever being in the same quantum state. Then you can

0:34:58.440 --> 0:35:01.920
<v Speaker 1>go from there to understand why the Fermi exclusion principle happens.

0:35:02.080 --> 0:35:04.640
<v Speaker 1>And it's going to lead us to think about the

0:35:04.680 --> 0:35:08.120
<v Speaker 1>third way that paraparticles might behave And if.

0:35:07.960 --> 0:35:11.080
<v Speaker 2>You are excited about that, then stick with us, because

0:35:11.080 --> 0:35:33.040
<v Speaker 2>we're gonna get to it after the break. Okay, so

0:35:33.360 --> 0:35:36.160
<v Speaker 2>we teased you before the commercial break that we're going

0:35:36.160 --> 0:35:39.360
<v Speaker 2>to explain to you how para particles behave. Your weight

0:35:39.480 --> 0:35:43.360
<v Speaker 2>is over, Daniel tell us about paraparticles and how they behave.

0:35:43.719 --> 0:35:46.920
<v Speaker 1>So for a long time, decades and decades, people thought

0:35:47.239 --> 0:35:51.000
<v Speaker 1>that fermions and bosons were the only options, not only

0:35:51.080 --> 0:35:54.279
<v Speaker 1>because hey, look, spin one half and integer spins seemed

0:35:54.320 --> 0:35:57.239
<v Speaker 1>like the only choices because like spin one third or

0:35:57.239 --> 0:35:59.880
<v Speaker 1>spin two thirds is impossible, but also in terms of

0:35:59.880 --> 0:36:02.319
<v Speaker 1>the explanation we just gave, it feels like there are

0:36:02.320 --> 0:36:04.560
<v Speaker 1>two options. Either you add a negative sign when you

0:36:04.560 --> 0:36:06.920
<v Speaker 1>swap them, like fermions, which means you can't be in

0:36:06.960 --> 0:36:10.359
<v Speaker 1>the same quantum state, or you don't like bosons, which

0:36:10.400 --> 0:36:12.680
<v Speaker 1>means you can be in the same quantum state. So

0:36:12.760 --> 0:36:14.799
<v Speaker 1>it seems like there's no crack there. It seems like

0:36:14.800 --> 0:36:18.120
<v Speaker 1>there's no room for another direction. And in the nineteen

0:36:18.160 --> 0:36:20.400
<v Speaker 1>seventies somebody went to a bunch of math to prove

0:36:21.000 --> 0:36:24.719
<v Speaker 1>that there is no third option under certain conditions. So

0:36:24.760 --> 0:36:27.160
<v Speaker 1>like if you live in a universe where space has

0:36:27.200 --> 0:36:30.160
<v Speaker 1>three dimensions, then there is no other option. You have

0:36:30.200 --> 0:36:32.840
<v Speaker 1>fermions and you have bosons, and that's its zip and period.

0:36:33.239 --> 0:36:35.279
<v Speaker 1>So people sort of put this away for a long time.

0:36:35.280 --> 0:36:38.279
<v Speaker 1>They were like, yeah, well that's done. Somebody proved it

0:36:38.680 --> 0:36:41.040
<v Speaker 1>dot dot dot. Nobody should ever spend time thinking about

0:36:41.080 --> 0:36:43.719
<v Speaker 1>it again. And that's like a famous place to make

0:36:43.760 --> 0:36:47.719
<v Speaker 1>a big discovery, because I'm sure this happens in biology. Also,

0:36:48.360 --> 0:36:51.239
<v Speaker 1>you have a paper which makes a big advance and

0:36:51.280 --> 0:36:54.319
<v Speaker 1>then it gets sort of summarized in a shorthanded sort

0:36:54.320 --> 0:36:57.359
<v Speaker 1>of way that ignores some of the assumptions that went

0:36:57.400 --> 0:36:59.920
<v Speaker 1>into it, and the conclusions just sort of get broaden

0:37:00.160 --> 0:37:02.160
<v Speaker 1>a little bit, and then people treat the lore as

0:37:02.200 --> 0:37:05.239
<v Speaker 1>if it was real and complete, and people rarely go

0:37:05.280 --> 0:37:07.920
<v Speaker 1>back and read the original paper to discover ooh, actually

0:37:08.000 --> 0:37:11.200
<v Speaker 1>there are coveyats here. So there are loopholes, and people

0:37:11.239 --> 0:37:13.759
<v Speaker 1>who do and discover those loopholes and then explore them

0:37:14.080 --> 0:37:17.200
<v Speaker 1>can like crack open a whole new area of physics.

0:37:17.200 --> 0:37:17.680
<v Speaker 3>Sometimes.

0:37:17.760 --> 0:37:19.799
<v Speaker 2>That's why it is so critical to read and to

0:37:19.880 --> 0:37:21.160
<v Speaker 2>read the original papers.

0:37:21.440 --> 0:37:23.320
<v Speaker 1>And for those of you wondering what that sound is

0:37:23.320 --> 0:37:26.680
<v Speaker 1>in the background. That's a big rainstorm in Virginia right now.

0:37:27.120 --> 0:37:30.200
<v Speaker 2>I love rain. Was that a dig on Virginia?

0:37:30.520 --> 0:37:32.560
<v Speaker 3>Why do you assume that's a dig? That's definitely not

0:37:32.640 --> 0:37:33.000
<v Speaker 3>a dig.

0:37:33.320 --> 0:37:34.360
<v Speaker 2>This is because I know you.

0:37:36.000 --> 0:37:38.680
<v Speaker 1>This week I'm an Aspen for the Aspen Center for Physics,

0:37:39.120 --> 0:37:41.759
<v Speaker 1>and it rains every afternoon and I love it. The

0:37:41.800 --> 0:37:45.200
<v Speaker 1>smell of it in the mountains is just wonderful. The

0:37:45.280 --> 0:37:47.200
<v Speaker 1>thing I do love about mountain rain is that it

0:37:47.360 --> 0:37:48.600
<v Speaker 1>ends also quickly.

0:37:48.800 --> 0:37:51.719
<v Speaker 2>Yeah, well, well those are rainstorms don't last very long.

0:37:52.360 --> 0:37:54.040
<v Speaker 2>And I am the reason you can hear it is

0:37:54.040 --> 0:37:57.400
<v Speaker 2>because I converted the tech room in the barn, the

0:37:57.440 --> 0:38:00.840
<v Speaker 2>horse barn that we have on our property to my office,

0:38:00.960 --> 0:38:03.000
<v Speaker 2>and so there's a metal roof above me, and so

0:38:03.080 --> 0:38:06.839
<v Speaker 2>the metal roof really makes the sound of rain much louder,

0:38:06.880 --> 0:38:09.080
<v Speaker 2>which I love when I'm sleeping up here at night.

0:38:09.120 --> 0:38:10.759
<v Speaker 2>Every once in a while I have sleepovers up here

0:38:10.800 --> 0:38:13.520
<v Speaker 2>with my daughter on Friday nights. But anyway, sorry about

0:38:13.520 --> 0:38:15.760
<v Speaker 2>the background noise, everyone, no problem.

0:38:16.080 --> 0:38:19.600
<v Speaker 1>And we now have enough background to understand paraparticles because

0:38:19.719 --> 0:38:23.879
<v Speaker 1>very recently two physicists at Rice University, which we both

0:38:23.960 --> 0:38:28.320
<v Speaker 1>know and love found some loopholes in this nineteen seventies

0:38:28.480 --> 0:38:31.200
<v Speaker 1>no go theorem, the one the famously said it's impossible

0:38:31.200 --> 0:38:34.239
<v Speaker 1>to have anything but a fermion and a boson. And

0:38:34.280 --> 0:38:37.239
<v Speaker 1>the loophole is, what if you give these particles some

0:38:37.440 --> 0:38:41.080
<v Speaker 1>other kind of properties, things that like a minus sign,

0:38:41.480 --> 0:38:46.239
<v Speaker 1>are not observable directly and disappear when you square it right.

0:38:46.280 --> 0:38:48.200
<v Speaker 1>So like a minus sign is a great example, because

0:38:48.239 --> 0:38:50.400
<v Speaker 1>you square it, you have plus one. If you didn't

0:38:50.400 --> 0:38:52.960
<v Speaker 1>have a minus sign, you can't tell plus one squared

0:38:53.000 --> 0:38:55.719
<v Speaker 1>and minus one squared have the same answer. But they

0:38:55.760 --> 0:38:58.400
<v Speaker 1>came up with another thing you can add to this particle,

0:38:58.480 --> 0:39:01.600
<v Speaker 1>like another category, another part of the description, not a

0:39:01.640 --> 0:39:05.600
<v Speaker 1>minus sign, but like a new dimension to this quantum field,

0:39:06.040 --> 0:39:08.279
<v Speaker 1>a new attribute, a new label you can give it,

0:39:08.840 --> 0:39:12.000
<v Speaker 1>and this kind of thing. Also when you square it,

0:39:12.000 --> 0:39:15.279
<v Speaker 1>it goes away. So there's some technical details here, but

0:39:15.320 --> 0:39:18.200
<v Speaker 1>the sort of way to understand it intuitively is that

0:39:18.280 --> 0:39:22.120
<v Speaker 1>these internal states depend on the observer a little bit.

0:39:22.560 --> 0:39:27.040
<v Speaker 1>So like you and I might see this electron differently

0:39:27.520 --> 0:39:30.800
<v Speaker 1>because we're different observers and we might make different observations.

0:39:31.040 --> 0:39:33.839
<v Speaker 3>So it's a little bit of like relativity there. So

0:39:33.880 --> 0:39:34.200
<v Speaker 3>if you.

0:39:34.200 --> 0:39:37.640
<v Speaker 1>Add this to some particle states in a weird mathematical way,

0:39:38.320 --> 0:39:41.759
<v Speaker 1>you can create a new kind of behavior. So it

0:39:41.880 --> 0:39:44.160
<v Speaker 1>sort of like fuzzes up a little bit, this notion

0:39:44.200 --> 0:39:48.640
<v Speaker 1>of indistinguishable particles. Are the particles indistinguishable or not? So

0:39:48.680 --> 0:39:51.360
<v Speaker 1>you might be wondering, well, we have electrons and we

0:39:51.440 --> 0:39:54.480
<v Speaker 1>have photons. Are there things out there in the universe

0:39:54.520 --> 0:39:57.920
<v Speaker 1>that follow this new weird quantum math. The answer is,

0:39:58.239 --> 0:40:02.280
<v Speaker 1>we don't know, not yet. What they've done is show

0:40:02.360 --> 0:40:07.160
<v Speaker 1>that there is another mathematical description of fields and particles

0:40:07.160 --> 0:40:10.239
<v Speaker 1>that you can construct that has like a third kind

0:40:10.239 --> 0:40:13.360
<v Speaker 1>of behavior. It's not a fermion and it's not a boson,

0:40:13.960 --> 0:40:18.480
<v Speaker 1>but it is self consistent and mathematical. Nobody's built one,

0:40:18.680 --> 0:40:21.799
<v Speaker 1>but they just sort of like mathematically shown that as

0:40:21.840 --> 0:40:24.200
<v Speaker 1>far as we know, the rules of the universe don't

0:40:24.200 --> 0:40:24.960
<v Speaker 1>disallow this.

0:40:25.400 --> 0:40:28.680
<v Speaker 2>So I don't want to ever question the amazing research

0:40:28.680 --> 0:40:31.760
<v Speaker 2>that comes out of Rice University. But it sounds like okay,

0:40:31.760 --> 0:40:33.400
<v Speaker 2>So they're like, well, there's this one thing we can't

0:40:33.440 --> 0:40:37.520
<v Speaker 2>see and can't measure, and so let's add another thing

0:40:37.560 --> 0:40:39.799
<v Speaker 2>we can't see or we can't measure. It's just like fire,

0:40:40.000 --> 0:40:41.799
<v Speaker 2>you know, like biologists can't be like, well, what if

0:40:41.800 --> 0:40:45.440
<v Speaker 2>the viruses we're wearing hats, maybe we should look for

0:40:46.719 --> 0:40:49.520
<v Speaker 2>what's a good combination of hat and viruses?

0:40:49.800 --> 0:40:50.000
<v Speaker 3>Right.

0:40:50.239 --> 0:40:52.439
<v Speaker 1>This is like taking the quantum particles and saying, hey,

0:40:52.760 --> 0:40:55.279
<v Speaker 1>we've only been thinking about them wearing cowboy hats.

0:40:55.280 --> 0:40:56.760
<v Speaker 3>What if they wear other kinds of hats?

0:40:56.920 --> 0:40:59.200
<v Speaker 1>What if choice of hats is another like degree of

0:40:59.239 --> 0:41:03.160
<v Speaker 1>freedom for describing these particles. And it turns out if

0:41:03.160 --> 0:41:05.520
<v Speaker 1>you do that, it cracks this open a little bit

0:41:05.560 --> 0:41:07.759
<v Speaker 1>and it lets you have another category. And so that's

0:41:07.800 --> 0:41:12.840
<v Speaker 1>interesting mathematically. It's only interesting physically if it describes the universe.

0:41:12.880 --> 0:41:15.000
<v Speaker 1>If the universe does this in the same way that

0:41:15.080 --> 0:41:18.680
<v Speaker 1>like DrAk looked at the solutions to the Shortener equation

0:41:18.760 --> 0:41:21.160
<v Speaker 1>and he was like, oh, this is interesting. This allows

0:41:21.200 --> 0:41:23.799
<v Speaker 1>you to have electrons but also allows you to have

0:41:23.960 --> 0:41:28.160
<v Speaker 1>positively charged particles. That doesn't mean the universe does it, right.

0:41:28.520 --> 0:41:31.120
<v Speaker 1>It could have just been like a mathematical oddity like, oh,

0:41:31.200 --> 0:41:33.799
<v Speaker 1>the math allows this, but does the universe choose it?

0:41:33.840 --> 0:41:36.680
<v Speaker 1>And turns out yes, the universe does choose to make antiparticles,

0:41:37.080 --> 0:41:40.960
<v Speaker 1>and the universe in many other cases chooses to explore

0:41:41.120 --> 0:41:44.040
<v Speaker 1>all the avenues of symmetries. We don't know if it does.

0:41:44.080 --> 0:41:44.680
<v Speaker 3>In this case.

0:41:45.080 --> 0:41:48.000
<v Speaker 1>What we've shown is that the mathematics of our description

0:41:48.120 --> 0:41:52.040
<v Speaker 1>of the universe do allow for our third category particles paraparticles,

0:41:52.520 --> 0:41:54.799
<v Speaker 1>but we don't know if they do ever exist in

0:41:54.840 --> 0:41:57.640
<v Speaker 1>the universe, and if they do, we don't think they

0:41:57.640 --> 0:42:01.520
<v Speaker 1>would be fundamental particles the way like photons and electrons are,

0:42:01.560 --> 0:42:04.600
<v Speaker 1>because there are no fundamental particles we know of that

0:42:04.680 --> 0:42:07.560
<v Speaker 1>fall into this category. You'd have to make like quasi

0:42:07.600 --> 0:42:12.480
<v Speaker 1>particles the way you make like anions or plasmons or phonons.

0:42:12.960 --> 0:42:16.480
<v Speaker 1>These are things that follow the math of particles. But

0:42:16.719 --> 0:42:20.520
<v Speaker 1>our waves not in a fundamental field like the electromagnetic

0:42:20.520 --> 0:42:23.360
<v Speaker 1>field or the electron field, but a wave in something else,

0:42:23.600 --> 0:42:25.560
<v Speaker 1>like a wave in air, or a wave in water,

0:42:26.160 --> 0:42:30.000
<v Speaker 1>or a wave in electron gas in some weird meta

0:42:30.040 --> 0:42:33.000
<v Speaker 1>material that solid state physicists cook up in their dark

0:42:33.040 --> 0:42:36.600
<v Speaker 1>little labs. And so it might be something that people

0:42:36.680 --> 0:42:39.680
<v Speaker 1>can create in the labs someday in the future and show, oh, look,

0:42:39.960 --> 0:42:43.640
<v Speaker 1>we've created this new quasi particle that has a different

0:42:43.680 --> 0:42:47.640
<v Speaker 1>kind of mathematical behavior than fermions or bosons. So that

0:42:47.640 --> 0:42:50.440
<v Speaker 1>would be cool and something nobody had seen before. Doesn't

0:42:50.480 --> 0:42:53.440
<v Speaker 1>mean we can make hoverboards or we can make wormholes

0:42:53.560 --> 0:42:56.319
<v Speaker 1>or anything like that yet, But you never know with

0:42:56.360 --> 0:42:58.440
<v Speaker 1>fundamental physics, like what's this going to lead to?

0:42:58.920 --> 0:42:59.640
<v Speaker 3>It's very deep.

0:42:59.600 --> 0:43:02.480
<v Speaker 1>It's very much at the foundation of quantum field theory

0:43:02.480 --> 0:43:04.920
<v Speaker 1>and our understanding of like the mathematics of it. So

0:43:04.960 --> 0:43:08.400
<v Speaker 1>it's exciting when anybody makes any progress in that area.

0:43:08.520 --> 0:43:10.520
<v Speaker 1>And it's a great example to push back on the

0:43:10.560 --> 0:43:13.120
<v Speaker 1>nonsense you might hear online that like physics hasn't made

0:43:13.160 --> 0:43:16.359
<v Speaker 1>any progress since the nineteen seventies. Like, dude, we're making

0:43:16.360 --> 0:43:18.640
<v Speaker 1>progress all the time. And here's a great example.

0:43:19.160 --> 0:43:21.719
<v Speaker 2>So are people currently working on experiments to try to

0:43:21.760 --> 0:43:22.880
<v Speaker 2>find these particles?

0:43:23.280 --> 0:43:28.680
<v Speaker 3>Yeah, more create than find. People are trying to engineer weird.

0:43:28.480 --> 0:43:31.920
<v Speaker 1>Exotic materials that might have these behaviors. And this is

0:43:31.960 --> 0:43:34.120
<v Speaker 1>the kind of stuff solid state physicists love to do,

0:43:34.280 --> 0:43:36.480
<v Speaker 1>you know. They're like, what if we made super thin

0:43:36.600 --> 0:43:39.640
<v Speaker 1>layers of graphene and then super thin layers of this,

0:43:40.000 --> 0:43:42.920
<v Speaker 1>and could we force the electrons to act as if

0:43:42.920 --> 0:43:45.640
<v Speaker 1>they're in a two D universe? Or can we see

0:43:45.760 --> 0:43:51.080
<v Speaker 1>superconductivity or whatever. So they're very clever at engineering materials

0:43:51.440 --> 0:43:54.160
<v Speaker 1>to make quantum states behave in new ways, and that's

0:43:54.400 --> 0:43:57.480
<v Speaker 1>the most promising way. We might see something that's a paraparticle,

0:43:57.800 --> 0:44:00.840
<v Speaker 1>you would be an emergent phenomenon, a quad particle that

0:44:00.960 --> 0:44:05.919
<v Speaker 1>comes out of the behavior of these weird exotic systems

0:44:06.400 --> 0:44:10.239
<v Speaker 1>and not exotic and like impossible or wrong in any way,

0:44:10.440 --> 0:44:13.600
<v Speaker 1>just like not something we find in nature usually. But

0:44:13.640 --> 0:44:16.080
<v Speaker 1>that's the cool thing about being humans. We're like constantly

0:44:16.480 --> 0:44:18.799
<v Speaker 1>pushing the boundaries and saying, hey, can the universe do this?

0:44:18.880 --> 0:44:21.400
<v Speaker 1>What happens if we do that? And it teaches us

0:44:21.440 --> 0:44:23.560
<v Speaker 1>things about the universe. This is how we learn where

0:44:23.600 --> 0:44:26.000
<v Speaker 1>the boundaries are by pushing them, right, yeah.

0:44:26.080 --> 0:44:28.120
<v Speaker 2>Yeah, So when we have a guest on our show,

0:44:28.680 --> 0:44:32.200
<v Speaker 2>you usually end the interview by asking them if an

0:44:32.239 --> 0:44:35.879
<v Speaker 2>alien were to visit our planets from an advanced civilization,

0:44:36.600 --> 0:44:39.080
<v Speaker 2>and you ask them if their thing exists on their

0:44:39.080 --> 0:44:41.879
<v Speaker 2>home planets. That's your way of testing how confident they

0:44:41.880 --> 0:44:45.320
<v Speaker 2>are that the thing actually exists. So, Daniel, if aliens

0:44:45.360 --> 0:44:48.040
<v Speaker 2>from an advanced civilization landed on Earth, do you think

0:44:48.120 --> 0:44:51.960
<v Speaker 2>they would know about paraparticles and would think that paraparticles existed?

0:44:52.400 --> 0:44:54.359
<v Speaker 1>This is a great question and a fair one, since

0:44:54.360 --> 0:44:56.799
<v Speaker 1>I just wrote a whole book on how aliens might

0:44:56.840 --> 0:44:59.040
<v Speaker 1>think about the universe. Y'all should check it out. It's

0:44:59.040 --> 0:45:02.120
<v Speaker 1>coming out in November. It's called Do Aliens Speak Physics.

0:45:02.560 --> 0:45:03.799
<v Speaker 1>I'm really excited about it.

0:45:03.840 --> 0:45:04.919
<v Speaker 2>Two sums way up.

0:45:05.160 --> 0:45:10.400
<v Speaker 1>My personal suspicion is that particle physicists are too up

0:45:10.480 --> 0:45:12.919
<v Speaker 1>in their own heads and they think that the whole

0:45:13.040 --> 0:45:17.279
<v Speaker 1>universe uses their mathematical description of how things work. And

0:45:17.320 --> 0:45:20.640
<v Speaker 1>that's just like too self centered to put ourselves at

0:45:20.680 --> 0:45:24.280
<v Speaker 1>the heart of the understanding of the universe. And likely

0:45:24.360 --> 0:45:27.200
<v Speaker 1>there's a bunch of arbitrary assumptions we've made, and probably

0:45:27.280 --> 0:45:30.600
<v Speaker 1>aliens have a completely different description of how the universe works,

0:45:30.840 --> 0:45:33.720
<v Speaker 1>and they're like, what, why are we even using quantum fields?

0:45:33.760 --> 0:45:36.520
<v Speaker 1>That makes no sense. Here's a much simpler way. But

0:45:36.920 --> 0:45:39.560
<v Speaker 1>if they are using quantum fields, then I think this

0:45:39.600 --> 0:45:41.520
<v Speaker 1>is an inevitable discovery.

0:45:41.000 --> 0:45:41.480
<v Speaker 3>They would make.

0:45:41.480 --> 0:45:43.680
<v Speaker 1>And they might have even found other ways, like there

0:45:43.719 --> 0:45:46.880
<v Speaker 1>might be four, seventeen or ninety two different kinds of

0:45:46.880 --> 0:45:49.680
<v Speaker 1>particles and they're like, what y'all have only found three?

0:45:49.840 --> 0:45:51.960
<v Speaker 1>Come back to us. You can join the cosmic society

0:45:51.960 --> 0:45:52.759
<v Speaker 1>when you're up to ten.

0:45:53.000 --> 0:45:58.040
<v Speaker 2>When you found particles, Then if they talk to us exactly.

0:45:59.000 --> 0:46:01.760
<v Speaker 1>Yeah, and maybe they'll listen this podcast and ooh, particles

0:46:01.760 --> 0:46:02.360
<v Speaker 1>and parasites.

0:46:02.360 --> 0:46:03.759
<v Speaker 3>Maybe these guys are on the right track.

0:46:03.920 --> 0:46:06.840
<v Speaker 2>Oh my gosh. Yeah, at least they'll think that we're interesting.

0:46:07.480 --> 0:46:10.160
<v Speaker 1>Aliens, if you are listening, please don't zap ups from

0:46:10.160 --> 0:46:10.720
<v Speaker 1>outer space.

0:46:10.840 --> 0:46:12.920
<v Speaker 2>Come talk to us, tell us about your secrets, and

0:46:12.920 --> 0:46:15.480
<v Speaker 2>tell us about your parasites, but keep it to yourselves,

0:46:17.719 --> 0:46:18.080
<v Speaker 2>all right.

0:46:18.120 --> 0:46:20.799
<v Speaker 1>Thanks everyone for going on this journey with us into

0:46:20.800 --> 0:46:23.200
<v Speaker 1>the heart of particle physics, how it works, what we know,

0:46:23.280 --> 0:46:26.040
<v Speaker 1>what we don't know, and the hints that mathematics is

0:46:26.040 --> 0:46:28.880
<v Speaker 1>giving us about what we might learn about the fundamental

0:46:28.960 --> 0:46:33.000
<v Speaker 1>nature of space and time and matter and energy and aliens.

0:46:33.320 --> 0:46:43.400
<v Speaker 2>See y'all next time. Daniel and Kelly's Extraordinary Universe is

0:46:43.440 --> 0:46:46.480
<v Speaker 2>produced by iHeartRadio. We would love to hear from you,

0:46:46.719 --> 0:46:47.800
<v Speaker 2>We really would.

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0:47:03.080 --> 0:47:05.960
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