1 00:00:13,039 --> 00:00:15,600 Speaker 1: How does the universe work? What are the rules that 2 00:00:15,680 --> 00:00:19,680 Speaker 1: govern its most microscopic nature. For a few hundred years, 3 00:00:19,720 --> 00:00:22,840 Speaker 1: we've been making progress on this question, mostly by taking 4 00:00:22,840 --> 00:00:25,680 Speaker 1: things apart, and when we zoom into the universe at 5 00:00:25,680 --> 00:00:28,760 Speaker 1: the smallest level, it seems so far like there are 6 00:00:28,800 --> 00:00:33,520 Speaker 1: two different categories of particles, matter particles like quarks and electrons, 7 00:00:33,560 --> 00:00:37,840 Speaker 1: and force particles like photons and gluons. For a long time, 8 00:00:37,840 --> 00:00:40,120 Speaker 1: it seems like that has to be all there is. 9 00:00:40,360 --> 00:00:44,080 Speaker 1: What else could there possibly be? But experiments aren't the 10 00:00:44,120 --> 00:00:47,040 Speaker 1: only way to reveal the secrets of the universe. Another 11 00:00:47,280 --> 00:00:50,640 Speaker 1: very fruitful path is to follow the math. When we 12 00:00:50,720 --> 00:00:53,920 Speaker 1: ask what else the math allows, we sometimes get predictions 13 00:00:53,920 --> 00:00:57,760 Speaker 1: for very weird phenomena like antimatter, or black holes or 14 00:00:57,840 --> 00:01:01,480 Speaker 1: Higgs bosons, which turn out to be real in the universe. 15 00:01:02,120 --> 00:01:04,720 Speaker 1: So can the math show us another kind of particle? 16 00:01:05,200 --> 00:01:10,319 Speaker 1: A weird third way beyond matter and forces. Welcome to 17 00:01:10,480 --> 00:01:13,760 Speaker 1: Daniel and Kelly's Extraordinary mathematical Universe. 18 00:01:27,000 --> 00:01:30,280 Speaker 2: Hello, I'm Kelly Wiersmith. I study parasites and space, and 19 00:01:30,319 --> 00:01:32,320 Speaker 2: I think there are four kinds of particles. 20 00:01:35,360 --> 00:01:36,920 Speaker 3: Are parasites the fourth particle? 21 00:01:37,080 --> 00:01:39,560 Speaker 2: I mean if physics were any good, the answer would 22 00:01:39,600 --> 00:01:43,920 Speaker 2: be yes. See what I think is that y'all like symmetry, 23 00:01:44,080 --> 00:01:46,280 Speaker 2: and I think that if you decide there's three kinds 24 00:01:46,319 --> 00:01:49,040 Speaker 2: of particles, that will be an odd number and you'll 25 00:01:49,040 --> 00:01:52,920 Speaker 2: have to decide there's another kind, so that it's even Hi. 26 00:01:53,040 --> 00:01:53,680 Speaker 3: I'm Daniel. 27 00:01:53,800 --> 00:01:57,400 Speaker 1: I'm a particle physicist, not a paraparticle physicist or a 28 00:01:57,560 --> 00:02:00,000 Speaker 1: parasitical particle physicist or any. 29 00:02:00,080 --> 00:02:01,280 Speaker 3: Those other varieties. 30 00:02:01,520 --> 00:02:03,920 Speaker 1: But I do love understanding the nature of the universe 31 00:02:04,000 --> 00:02:05,720 Speaker 1: and finding symmetry in. 32 00:02:05,720 --> 00:02:09,080 Speaker 2: It all amazing. So are you one of those physicists 33 00:02:09,080 --> 00:02:11,440 Speaker 2: who feels like there needs to be symmetry in these 34 00:02:11,480 --> 00:02:13,800 Speaker 2: answers or does it just kind of depend on the topic? 35 00:02:14,040 --> 00:02:15,680 Speaker 1: Wow, what a deep question to drop on me at 36 00:02:15,680 --> 00:02:18,880 Speaker 1: the top of the episode. I think what we've learned 37 00:02:18,919 --> 00:02:21,400 Speaker 1: so far is that there is symmetry in the universe. 38 00:02:21,840 --> 00:02:25,480 Speaker 1: Like all the rules we've discovered about physics seem to 39 00:02:25,520 --> 00:02:29,840 Speaker 1: follow symmetric patterns. There's like reflections and translations, and you 40 00:02:29,880 --> 00:02:33,760 Speaker 1: can generalize this into abstract algebra called group theory. So 41 00:02:33,800 --> 00:02:37,880 Speaker 1: the universe seems to be well described by symmetries in mathematics. 42 00:02:37,919 --> 00:02:40,440 Speaker 1: Does that mean the universe is symmetric or that's just 43 00:02:40,480 --> 00:02:42,200 Speaker 1: the way we like to think about it. I mean, 44 00:02:42,280 --> 00:02:43,960 Speaker 1: that's a deep question in philosophy. We're not going to 45 00:02:43,960 --> 00:02:46,560 Speaker 1: answer it today. But I appreciate symmetry. 46 00:02:46,800 --> 00:02:49,560 Speaker 3: I love it. I love the mathematical beauty of what 47 00:02:49,600 --> 00:02:50,880 Speaker 3: we've learned about the universe. 48 00:02:51,240 --> 00:02:53,800 Speaker 2: Why should the universe be symmetrical instead of like just 49 00:02:53,840 --> 00:02:56,160 Speaker 2: a mess? Like as an evolutionary biologist, like it all 50 00:02:56,200 --> 00:02:58,920 Speaker 2: being held together with like duct tape and zip ties 51 00:02:59,080 --> 00:03:01,680 Speaker 2: makes more sense to me then it being beautifully symmetrical. 52 00:03:01,840 --> 00:03:03,720 Speaker 2: But why is it symmetrical? 53 00:03:04,520 --> 00:03:08,520 Speaker 1: I think I have a natural preference for explanations that 54 00:03:08,600 --> 00:03:13,680 Speaker 1: are simple, that are harmonious and parsimonious, right, Like we 55 00:03:13,840 --> 00:03:16,959 Speaker 1: think that the universe should be in the end described 56 00:03:17,040 --> 00:03:21,120 Speaker 1: by one simple idea, and so we're constantly looking for that, 57 00:03:21,160 --> 00:03:24,080 Speaker 1: and symmetry helps us restrain that. It helps us reduce 58 00:03:24,160 --> 00:03:27,560 Speaker 1: the number of options, you know, like instead of having 59 00:03:27,600 --> 00:03:29,480 Speaker 1: to come up with ten numbers, what if there's a 60 00:03:29,520 --> 00:03:32,520 Speaker 1: symmetry that tells you that those numbers are all related, 61 00:03:32,560 --> 00:03:35,080 Speaker 1: so there really is just one number that turns into ten. 62 00:03:35,720 --> 00:03:37,840 Speaker 1: But you might also ask the basic question like, well, 63 00:03:37,880 --> 00:03:41,200 Speaker 1: why do we expect the universe to be simple and parsimonious, 64 00:03:41,840 --> 00:03:43,400 Speaker 1: and I don't have an answer for that, you know, 65 00:03:43,520 --> 00:03:46,080 Speaker 1: just so far that seemed to work, you know, looking 66 00:03:46,080 --> 00:03:49,320 Speaker 1: for the simplest explanation so far has found us things 67 00:03:49,360 --> 00:03:52,240 Speaker 1: that work in the universe. They predict experiments, they describe 68 00:03:52,280 --> 00:03:55,200 Speaker 1: things we haven't seen yet. So many times in the 69 00:03:55,240 --> 00:03:58,360 Speaker 1: history of science we followed the symmetry in mathematics to 70 00:03:58,400 --> 00:04:05,200 Speaker 1: make discoveries like particles or like electromagnetism. You know, Maxwell 71 00:04:05,280 --> 00:04:07,800 Speaker 1: looking at these equations and seeing a lack of symmetry 72 00:04:07,880 --> 00:04:09,880 Speaker 1: and penciling in the piece he needs to make the 73 00:04:09,880 --> 00:04:14,040 Speaker 1: equation symmetrical, discovering something real in the universe, or Peter 74 00:04:14,200 --> 00:04:17,000 Speaker 1: Higgs finding a piece that clicks together with all the 75 00:04:17,040 --> 00:04:21,320 Speaker 1: other pieces to answer why symmetry is broken, so it 76 00:04:21,400 --> 00:04:24,120 Speaker 1: seems to work, is the only real answer I can 77 00:04:24,160 --> 00:04:24,480 Speaker 1: give you. 78 00:04:24,880 --> 00:04:27,040 Speaker 2: Interesting, you know, So I was I'm reading this book 79 00:04:27,080 --> 00:04:30,039 Speaker 2: called The Remedy right now, and it is about how 80 00:04:30,200 --> 00:04:35,400 Speaker 2: like Coch and Pasteur determined that microorganisms caused disease. And 81 00:04:35,480 --> 00:04:38,600 Speaker 2: the author was arguing that actually this kind of flew 82 00:04:38,640 --> 00:04:41,680 Speaker 2: in the face of we should look for the simplest answer, 83 00:04:41,760 --> 00:04:44,640 Speaker 2: because the simplest answer at the time was that bad 84 00:04:44,720 --> 00:04:47,440 Speaker 2: air causes all of these maladies, and so having one 85 00:04:47,720 --> 00:04:50,520 Speaker 2: cause that explained all of this stuff seemed much simpler 86 00:04:50,520 --> 00:04:54,000 Speaker 2: than you know, Tuberculosis is caused by this tiny organism, 87 00:04:54,080 --> 00:04:56,400 Speaker 2: and smallpox is caused by that tiny organism that we 88 00:04:56,440 --> 00:04:59,360 Speaker 2: can't even see. And so the fact that bad air 89 00:04:59,480 --> 00:05:01,960 Speaker 2: was simple a sort of made people cling to it 90 00:05:02,000 --> 00:05:04,200 Speaker 2: a little bit longer than this more complicated answer that 91 00:05:04,240 --> 00:05:05,880 Speaker 2: tended to be right. And so I think in almost 92 00:05:05,880 --> 00:05:07,760 Speaker 2: every case it makes a lot more sense to look 93 00:05:07,800 --> 00:05:11,080 Speaker 2: for the simplest explanation first, but you should not let 94 00:05:11,080 --> 00:05:13,719 Speaker 2: it close your eyes to the more complex answers that 95 00:05:13,800 --> 00:05:15,680 Speaker 2: might actually be the reality of the situation. 96 00:05:15,920 --> 00:05:18,640 Speaker 1: Yeah, you should choose the simplest answer that works, that 97 00:05:18,720 --> 00:05:22,200 Speaker 1: actually describes the universe. Yes, not the simplest answer that 98 00:05:22,200 --> 00:05:25,040 Speaker 1: doesn't describe the universe. But you're right, you don't know 99 00:05:25,080 --> 00:05:26,960 Speaker 1: in advance what's going to work and what isn't, And 100 00:05:27,000 --> 00:05:30,080 Speaker 1: so we often start from the simplest thing because why 101 00:05:30,120 --> 00:05:32,200 Speaker 1: not right, And if that doesn't work, then we move 102 00:05:32,240 --> 00:05:33,400 Speaker 1: on to something more complicated. 103 00:05:33,440 --> 00:05:36,360 Speaker 3: And that's how we get chemistry and biology and. 104 00:05:36,320 --> 00:05:41,200 Speaker 1: All sorts of other delicious, beautiful messes of science. Right, 105 00:05:41,279 --> 00:05:43,159 Speaker 1: that have yet to pull themselves together into a single 106 00:05:43,160 --> 00:05:46,880 Speaker 1: parsimonious explanation. And that's also one reason why I am 107 00:05:46,920 --> 00:05:50,279 Speaker 1: a physicist, because physics, I feel like, is closer to 108 00:05:50,360 --> 00:05:53,440 Speaker 1: getting to a single answer than chemistry is. For example, 109 00:05:53,480 --> 00:05:55,880 Speaker 1: I was always frustrated in chemistry, like this rule for 110 00:05:55,920 --> 00:05:57,680 Speaker 1: this thing, and this rule for that thing, and this 111 00:05:57,800 --> 00:06:00,839 Speaker 1: other rule except for this other scenario. Maybe I just 112 00:06:00,880 --> 00:06:02,400 Speaker 1: have a bad memory and it's hard to hold all 113 00:06:02,440 --> 00:06:04,440 Speaker 1: those things in my head. But I just really like 114 00:06:04,480 --> 00:06:06,880 Speaker 1: to look, here's one equation. Start from that you can 115 00:06:06,920 --> 00:06:09,440 Speaker 1: get to anything. That just always appealed to me. 116 00:06:09,680 --> 00:06:11,839 Speaker 2: That's so interesting. I think we live on very different 117 00:06:11,880 --> 00:06:14,520 Speaker 2: sides of this gradient. So like for me, you know, 118 00:06:14,560 --> 00:06:17,360 Speaker 2: you said biologists and chemists have yet to come up 119 00:06:17,360 --> 00:06:19,760 Speaker 2: with a simple theory. I don't feel like that's what 120 00:06:19,760 --> 00:06:20,839 Speaker 2: we're trying for at all. 121 00:06:20,960 --> 00:06:23,599 Speaker 1: Like why maybe that's why you haven't found one. 122 00:06:24,240 --> 00:06:26,680 Speaker 2: Why would you assume that there is one? Like life 123 00:06:26,720 --> 00:06:29,880 Speaker 2: is beautifully complex, you know, the it depends is where 124 00:06:29,920 --> 00:06:33,080 Speaker 2: all the fun lives. I think. You know, you're like, oh, 125 00:06:33,160 --> 00:06:36,120 Speaker 2: that's frustrating, and I'm like, no, that's that's the exciting part. 126 00:06:36,240 --> 00:06:39,200 Speaker 2: Like what it depends on what life is complicated and 127 00:06:39,279 --> 00:06:41,120 Speaker 2: messy and that's what makes it beautiful. 128 00:06:41,279 --> 00:06:43,160 Speaker 1: But isn't it beautiful when you find things that are 129 00:06:43,160 --> 00:06:46,279 Speaker 1: true across all of life? Right Like DNA, for example, 130 00:06:46,400 --> 00:06:48,520 Speaker 1: undergirds a lot of life on Earth, and that's really 131 00:06:48,560 --> 00:06:51,320 Speaker 1: powerful to discover that and to understand it. Right, Yeah, 132 00:06:51,400 --> 00:06:54,279 Speaker 1: it's not as fascinating as like this one kind of 133 00:06:54,360 --> 00:06:57,680 Speaker 1: frog does this one kind of thing on random tuesdays 134 00:06:58,040 --> 00:06:59,080 Speaker 1: in my opinion. 135 00:06:58,880 --> 00:07:01,760 Speaker 2: Well, I will politely disagree with you. I think what 136 00:07:02,600 --> 00:07:05,520 Speaker 2: the frogs are doing on tuesdays I am deeply interested in. 137 00:07:05,680 --> 00:07:09,360 Speaker 2: But yes, you know, I think it's beautiful that you know, 138 00:07:09,400 --> 00:07:13,440 Speaker 2: the blueprint for life is stored in the same material 139 00:07:13,960 --> 00:07:16,360 Speaker 2: no matter what organism you're looking at. But we all 140 00:07:16,400 --> 00:07:19,320 Speaker 2: do very different things with that material. You know, bacteria 141 00:07:19,520 --> 00:07:22,720 Speaker 2: do horizontal gene transfer. They're swapping genes back and forth, 142 00:07:22,760 --> 00:07:25,080 Speaker 2: and you know, we have to have sex to swap 143 00:07:25,120 --> 00:07:28,400 Speaker 2: genetic material, and we've got recombination and I don't know anyway, 144 00:07:28,400 --> 00:07:30,679 Speaker 2: that's where the it depends gets fun again. 145 00:07:31,280 --> 00:07:33,640 Speaker 1: Well, we have made a lot of hay in physics, 146 00:07:33,680 --> 00:07:37,240 Speaker 1: at least in looking for symmetries and then trying to 147 00:07:37,400 --> 00:07:40,520 Speaker 1: understand when there are holes, is there something to fill 148 00:07:40,560 --> 00:07:43,160 Speaker 1: that hole? Right the way we did with antiparticles and 149 00:07:43,280 --> 00:07:45,720 Speaker 1: the way we did with all the quarks, and so 150 00:07:45,920 --> 00:07:49,280 Speaker 1: often mathematical beauty really does lead us to new discoveries. 151 00:07:49,280 --> 00:07:51,880 Speaker 1: And that's what we're talking about today on the podcast. 152 00:07:51,960 --> 00:07:56,000 Speaker 1: Whether there is another bucket, another kind of thing out 153 00:07:56,000 --> 00:07:58,440 Speaker 1: there in the universe that we can use to describe 154 00:07:58,520 --> 00:08:01,920 Speaker 1: how everything works, maybe explains why those toads do that thing. 155 00:08:01,960 --> 00:08:03,600 Speaker 3: On Tuesday, at. 156 00:08:03,200 --> 00:08:04,960 Speaker 2: The end of all of our banters, I'm like, how 157 00:08:05,000 --> 00:08:06,440 Speaker 2: are we going to get back on track? And you 158 00:08:06,600 --> 00:08:07,640 Speaker 2: always get us there. 159 00:08:07,840 --> 00:08:15,080 Speaker 1: Okay, it's sometimes a bigger step than I expect. 160 00:08:11,720 --> 00:08:11,800 Speaker 4: But. 161 00:08:14,200 --> 00:08:17,760 Speaker 2: You're good at jumping that chasm. So all right. So 162 00:08:17,800 --> 00:08:21,280 Speaker 2: today we're talking about paraparticles and I had never heard 163 00:08:21,320 --> 00:08:24,720 Speaker 2: of para particles before, and so let's see if our 164 00:08:24,880 --> 00:08:28,280 Speaker 2: audience is on the same page as Kelly. So we asked, 165 00:08:29,000 --> 00:08:32,000 Speaker 2: what are para particles? And here are the answers we got. 166 00:08:32,480 --> 00:08:35,280 Speaker 4: I wonder if it's something to do with larger things 167 00:08:35,360 --> 00:08:40,760 Speaker 4: showing particle light behavior in certain circumstances. I'm so glad 168 00:08:40,840 --> 00:08:43,800 Speaker 4: there isn't. TONI exam at the end of the podcast. 169 00:08:43,920 --> 00:08:47,559 Speaker 2: Piece of a particle, like a very small part of 170 00:08:47,600 --> 00:08:51,880 Speaker 2: the particle, some sort of entity that exists alongside the 171 00:08:51,880 --> 00:08:53,640 Speaker 2: traditional particles. 172 00:08:53,559 --> 00:08:57,480 Speaker 3: Somewhere between a real particle and a ghost particle, like 173 00:08:57,679 --> 00:09:01,679 Speaker 3: a virtual particle, and then it's enabling interactions with others. 174 00:09:02,360 --> 00:09:05,760 Speaker 4: I think it's like a super superposition. And it's one 175 00:09:05,760 --> 00:09:08,720 Speaker 4: of those weird things about quantum mechanics that if you 176 00:09:08,760 --> 00:09:11,319 Speaker 4: look at it, it just disappears off. 177 00:09:11,880 --> 00:09:15,160 Speaker 2: I might be particles that we believe exist but haven't 178 00:09:15,160 --> 00:09:16,400 Speaker 2: I prayed for yet. 179 00:09:16,600 --> 00:09:19,120 Speaker 3: Kind of like a particle but not quite. 180 00:09:19,480 --> 00:09:23,560 Speaker 2: Something that acts like a particle when certain conditions are. 181 00:09:23,480 --> 00:09:27,960 Speaker 3: Met at something that's almost a particle. Paraparticles rely on 182 00:09:27,960 --> 00:09:31,880 Speaker 3: their neighboring particle for existence. I'm completely stunned by this one. 183 00:09:32,360 --> 00:09:37,760 Speaker 2: The virtual particle pairs that spring to existence in a vacuum. 184 00:09:37,920 --> 00:09:41,160 Speaker 2: Is a paraparticle something that lives off of or takes 185 00:09:41,200 --> 00:09:42,760 Speaker 2: advantage of another particle? 186 00:09:43,520 --> 00:09:45,000 Speaker 3: Is it a paralyzed particle? 187 00:09:45,600 --> 00:09:49,880 Speaker 2: So lots of playing with what para means in other contexts. 188 00:09:49,960 --> 00:09:51,920 Speaker 2: I like it got you all are very clever. 189 00:09:52,040 --> 00:09:55,160 Speaker 1: But they missed the obvious. Nobody went for the connection 190 00:09:55,240 --> 00:09:56,400 Speaker 1: to parasites. 191 00:09:56,559 --> 00:10:03,679 Speaker 2: Guys, Guys, I work so oft hard so hard. Oh wait, no, no, no, 192 00:10:03,720 --> 00:10:06,959 Speaker 2: that's not true. Somebody said, relying on their neighbors for existence, 193 00:10:07,120 --> 00:10:13,480 Speaker 2: that's their parasitical particles. That's right way to go, that 194 00:10:13,559 --> 00:10:17,400 Speaker 2: particular audience member. Thank you for paying attention all this time. 195 00:10:17,720 --> 00:10:19,920 Speaker 1: I was just glad that nobody went for the sort 196 00:10:19,920 --> 00:10:23,360 Speaker 1: of anti academic grifter line, the like academics are just 197 00:10:23,440 --> 00:10:27,640 Speaker 1: parasites on society and they're sucking money and scams and 198 00:10:27,679 --> 00:10:29,800 Speaker 1: don't really believe anything they're doing, all that bad faith 199 00:10:29,880 --> 00:10:32,880 Speaker 1: nonsense you sometimes see in various corners of the internet. 200 00:10:32,960 --> 00:10:35,280 Speaker 2: Oh wow, are you I feel like there's a bit 201 00:10:35,320 --> 00:10:39,200 Speaker 2: of insecurity today. 202 00:10:40,120 --> 00:10:42,000 Speaker 1: I just want to address the reality, you know, that 203 00:10:42,080 --> 00:10:44,839 Speaker 1: kind of stuff is out there in the universe. Anyway, 204 00:10:44,880 --> 00:10:46,880 Speaker 1: I was very happy to hear all these positive and 205 00:10:46,920 --> 00:10:50,120 Speaker 1: constructive answers. Thanks everybody. If you'd like to contribute your 206 00:10:50,160 --> 00:10:52,679 Speaker 1: ideas for future episodes, don't be shy right to us 207 00:10:52,720 --> 00:10:55,439 Speaker 1: two questions at Daniel and Kelly dot org. You can 208 00:10:55,480 --> 00:10:57,239 Speaker 1: hear your voice on the podcast. 209 00:10:57,520 --> 00:11:00,200 Speaker 2: Amazing. All right, So let's dig in. So what are 210 00:11:00,200 --> 00:11:02,280 Speaker 2: a particle? So you said in the introduction that there 211 00:11:02,320 --> 00:11:06,680 Speaker 2: are maybe three kinds of particles. Can we start by 212 00:11:06,840 --> 00:11:09,800 Speaker 2: reviewing the first two kinds, because I'm sure that you've 213 00:11:09,800 --> 00:11:12,439 Speaker 2: mentioned in the past that particles come in matter and 214 00:11:12,640 --> 00:11:15,360 Speaker 2: force flavors. But every once in a while, at the 215 00:11:15,440 --> 00:11:17,800 Speaker 2: end of an episode, I'll discover my brain has reached 216 00:11:17,840 --> 00:11:20,960 Speaker 2: capacity and maybe some stuff overflowed out the top, and 217 00:11:21,040 --> 00:11:24,600 Speaker 2: so remind me what are meta particles? What are force particles? 218 00:11:24,600 --> 00:11:26,000 Speaker 2: And then we'll get into this third kind. 219 00:11:26,280 --> 00:11:29,320 Speaker 3: Yeah, sure, no problem. I'd be careful with the word flavor. 220 00:11:29,320 --> 00:11:32,280 Speaker 1: Though flavor has a particular meaning in particle physics, it 221 00:11:32,320 --> 00:11:35,320 Speaker 1: means something else, and it's not like you know, cookie 222 00:11:35,400 --> 00:11:38,600 Speaker 1: dough and mint chocolate chip. It's like the difference between 223 00:11:38,600 --> 00:11:42,120 Speaker 1: electrons and muons and towels or different flavors of leptons. 224 00:11:42,240 --> 00:11:45,920 Speaker 2: Like that's an actual like physics jargon term is flavors. 225 00:11:46,160 --> 00:11:49,360 Speaker 1: Oh absolutely, And there's amazing the whole subfield of particle 226 00:11:49,360 --> 00:11:52,480 Speaker 1: physics called flavor physics. And then the people who work 227 00:11:52,520 --> 00:11:54,520 Speaker 1: on the flavor of particles that have a lot of mass, 228 00:11:54,559 --> 00:11:57,720 Speaker 1: that's called heavy flavor physics, which sounds like it should 229 00:11:57,760 --> 00:11:59,600 Speaker 1: be a hip hop group, but it really is a 230 00:11:59,600 --> 00:12:00,440 Speaker 1: bunch of nerds. 231 00:12:00,640 --> 00:12:03,000 Speaker 2: Well, you know, nerds can have hip hop groups. You 232 00:12:03,040 --> 00:12:05,360 Speaker 2: don't have to be so judgy. 233 00:12:05,679 --> 00:12:07,640 Speaker 3: Yeah, heavy flavor flakes, let's hear it. 234 00:12:08,160 --> 00:12:08,760 Speaker 2: I love it. 235 00:12:10,240 --> 00:12:10,600 Speaker 3: All right. 236 00:12:10,679 --> 00:12:14,359 Speaker 1: So today we're talking about one way to distinguish particles, 237 00:12:14,720 --> 00:12:17,520 Speaker 1: and that's by their spin. So there are particles that 238 00:12:17,559 --> 00:12:20,520 Speaker 1: make up matter, me and you, and everything that's out 239 00:12:20,559 --> 00:12:22,880 Speaker 1: there and everything you've ever eaten are made out of 240 00:12:22,960 --> 00:12:26,760 Speaker 1: quarks and lectons. So the upcork and the down cork 241 00:12:26,880 --> 00:12:30,240 Speaker 1: make up protons and neutrons. You add electrons, which are 242 00:12:30,360 --> 00:12:32,920 Speaker 1: kind of lefton, and you can make any atom. Right 243 00:12:33,040 --> 00:12:35,360 Speaker 1: from that, you can make any molecule. And anything anybody 244 00:12:35,360 --> 00:12:37,840 Speaker 1: has ever seen or thrown at their sister is made 245 00:12:37,840 --> 00:12:40,120 Speaker 1: out of this kind of stuff, right, Okay, So this 246 00:12:40,200 --> 00:12:43,600 Speaker 1: is what we call matter particles. And all these particles 247 00:12:43,600 --> 00:12:46,160 Speaker 1: have something in common, which is their quantum spin has 248 00:12:46,240 --> 00:12:48,200 Speaker 1: units of one half, which means they can have spin 249 00:12:48,400 --> 00:12:51,760 Speaker 1: up one half or spin down one half. So all 250 00:12:51,800 --> 00:12:55,719 Speaker 1: these particles, which we call fermions after Enrico Fermi, these 251 00:12:55,760 --> 00:12:58,960 Speaker 1: are matter particles. They're particles with one half spin. 252 00:12:59,280 --> 00:13:02,120 Speaker 2: Can you help me like visualize that, like, are they 253 00:13:02,200 --> 00:13:03,280 Speaker 2: actually spinning? 254 00:13:03,720 --> 00:13:06,760 Speaker 1: M You know the answer to that question, Kelly is 255 00:13:06,880 --> 00:13:11,800 Speaker 1: nobody knows. Quantum spin is a super fascinating topic because 256 00:13:11,840 --> 00:13:14,839 Speaker 1: on one hand, it's very different from a real spin, 257 00:13:14,920 --> 00:13:17,320 Speaker 1: like normal spin, like you take a ball and you 258 00:13:17,400 --> 00:13:19,679 Speaker 1: spin it. We can talk about the angular momentum, we 259 00:13:19,720 --> 00:13:22,040 Speaker 1: can talk about the velocity on the surface. A classical 260 00:13:22,040 --> 00:13:25,720 Speaker 1: object has spin and it has angular momentum, right, And 261 00:13:25,760 --> 00:13:27,800 Speaker 1: we know that that angler momentum is important to the 262 00:13:27,880 --> 00:13:31,240 Speaker 1: universe because it's preserved. Like if you spin a ball 263 00:13:31,320 --> 00:13:34,280 Speaker 1: in space, it keeps spinning. And the reason that like 264 00:13:34,360 --> 00:13:37,760 Speaker 1: our galaxy is spinning is because of conservation of angular momentum. 265 00:13:37,840 --> 00:13:40,319 Speaker 1: The reason the solar system has the shape that it does, 266 00:13:40,600 --> 00:13:43,120 Speaker 1: it's like sort of flat. The way the galaxy is 267 00:13:43,120 --> 00:13:45,599 Speaker 1: a disc is because of angle momentum. Anglementum is a 268 00:13:45,600 --> 00:13:48,480 Speaker 1: really big important thing in the universe. Things really do spin. 269 00:13:49,280 --> 00:13:53,119 Speaker 1: Quantum particles don't spin in the same way because electrons 270 00:13:53,120 --> 00:13:56,559 Speaker 1: are not tiny little balls. And like one hundred years ago, 271 00:13:56,600 --> 00:13:58,120 Speaker 1: when they were thinking about this, they were like, well, 272 00:13:58,160 --> 00:13:59,920 Speaker 1: what if they spin, how fast would they be spin? 273 00:14:00,480 --> 00:14:03,360 Speaker 1: They try to calculate, like how fast the surface of 274 00:14:03,400 --> 00:14:05,480 Speaker 1: an electron is spinning, and you get an answer that's 275 00:14:05,480 --> 00:14:08,920 Speaker 1: like higher than the speed of light. So it's obviously nonsense. 276 00:14:09,400 --> 00:14:11,040 Speaker 1: Whenever you do physics and you get an answer that 277 00:14:11,040 --> 00:14:13,480 Speaker 1: doesn't make sense, like something has gone wrong along the 278 00:14:13,520 --> 00:14:14,160 Speaker 1: way right. 279 00:14:14,200 --> 00:14:15,400 Speaker 2: Or you've created a new field. 280 00:14:17,600 --> 00:14:20,240 Speaker 1: In this case, the answer is that these are quantum particles. 281 00:14:20,240 --> 00:14:22,280 Speaker 1: They're not classical, so you can think of them as 282 00:14:22,360 --> 00:14:25,840 Speaker 1: existing physically the same way, where every part of them 283 00:14:25,960 --> 00:14:29,440 Speaker 1: has a location every moment in time, so they don't 284 00:14:29,480 --> 00:14:32,840 Speaker 1: physically spin. You shouldn't think about these quantum particles as 285 00:14:32,880 --> 00:14:35,880 Speaker 1: like little balls that are spinning, and so you might ask, well, 286 00:14:35,920 --> 00:14:37,800 Speaker 1: if it's not spinning, why do you call it spin. 287 00:14:38,160 --> 00:14:40,120 Speaker 1: We call it spin because it has a lot of 288 00:14:40,160 --> 00:14:44,640 Speaker 1: the same properties as classical objects spin. For example, it's 289 00:14:44,680 --> 00:14:49,240 Speaker 1: conserved right, and it's conserved together with other kinds of 290 00:14:49,240 --> 00:14:52,560 Speaker 1: angular momentum, meaning that what the universe cares about is 291 00:14:52,600 --> 00:14:56,280 Speaker 1: the total angler momentum, including spin. So you can convert 292 00:14:56,280 --> 00:14:59,400 Speaker 1: like normal angler momentum like the Earth is spinning, into 293 00:14:59,560 --> 00:15:03,280 Speaker 1: quantum angle momentum spin, and back and forth. The universe 294 00:15:03,320 --> 00:15:05,600 Speaker 1: requires you to conserve the sum of those two, which 295 00:15:05,640 --> 00:15:08,880 Speaker 1: tells you they're like the same kind of thing the 296 00:15:08,880 --> 00:15:11,560 Speaker 1: same way that like energy is often conserved, but it's 297 00:15:11,600 --> 00:15:14,840 Speaker 1: the sum of kinetic and potential energies. Which tells you like, Okay, 298 00:15:14,880 --> 00:15:17,160 Speaker 1: these are two kinds of the same thing, because what 299 00:15:17,200 --> 00:15:19,520 Speaker 1: the universe cares about is the sum of them, not 300 00:15:19,600 --> 00:15:23,560 Speaker 1: the individual ones. So we know that quantum spin is 301 00:15:23,600 --> 00:15:27,800 Speaker 1: similar to real spin classical spin because the universe conserves 302 00:15:27,840 --> 00:15:30,880 Speaker 1: the sum of those things, and quantum spin has other 303 00:15:30,960 --> 00:15:34,360 Speaker 1: similar properties, like things that have quantum spin and electric 304 00:15:34,440 --> 00:15:38,360 Speaker 1: charge have little magnetic fields because charges in motion give 305 00:15:38,400 --> 00:15:41,280 Speaker 1: magnetic fields. So like an electron which is spinning, has 306 00:15:41,320 --> 00:15:43,880 Speaker 1: a little magnetic field, and that's why it's like bent 307 00:15:43,960 --> 00:15:47,440 Speaker 1: by magnetic fields, et cetera, et cetera. So we don't 308 00:15:47,480 --> 00:15:49,400 Speaker 1: really know what it is, but we know that it 309 00:15:49,440 --> 00:15:52,280 Speaker 1: acts a lot like spin, so we call it quantum spin, 310 00:15:53,120 --> 00:15:54,920 Speaker 1: which I think is a pretty good name, even though 311 00:15:54,960 --> 00:15:55,680 Speaker 1: it's not spinning. 312 00:15:57,800 --> 00:16:00,200 Speaker 2: Okay, all right, So I usually to hear things like 313 00:16:00,240 --> 00:16:02,120 Speaker 2: four times before they stick in my brain. I think 314 00:16:02,120 --> 00:16:05,040 Speaker 2: we're at like two, so be prepared to repeat that. 315 00:16:05,600 --> 00:16:09,480 Speaker 2: But so to try to help me, all right, So, fermions, 316 00:16:08,720 --> 00:16:12,920 Speaker 2: these are the mass or the matter particles. Yes, and 317 00:16:12,960 --> 00:16:16,160 Speaker 2: so I'm gonna think of fermions as like it's firm matter. 318 00:16:16,240 --> 00:16:19,080 Speaker 2: It makes us be although you know now you're gonna 319 00:16:19,080 --> 00:16:22,040 Speaker 2: misspell fermions from here on out because it's not spelled 320 00:16:22,120 --> 00:16:24,800 Speaker 2: like firm. But anyway, all right, that's how I'm remembering it. 321 00:16:24,840 --> 00:16:27,200 Speaker 2: And so now let's talk about force. And so I 322 00:16:27,240 --> 00:16:30,960 Speaker 2: always thought force was like a field, and I didn't 323 00:16:30,960 --> 00:16:34,440 Speaker 2: think of it as a particle anyway. So let's go on. 324 00:16:34,560 --> 00:16:38,360 Speaker 2: So the bosons are force particles. 325 00:16:38,160 --> 00:16:40,240 Speaker 1: Yes, And let me also liabrate on the comment you 326 00:16:40,320 --> 00:16:43,360 Speaker 1: made about field versus particles. There are two ways of 327 00:16:43,480 --> 00:16:46,720 Speaker 1: thinking about what stuff is and how it's pushed. One 328 00:16:46,880 --> 00:16:49,440 Speaker 1: is the field picture, which is really natural to a 329 00:16:49,480 --> 00:16:53,000 Speaker 1: lot of particle physicists. There's an electron field, and the 330 00:16:53,000 --> 00:16:55,720 Speaker 1: electron is actually just a ripple in that field, and 331 00:16:55,840 --> 00:16:59,160 Speaker 1: there's an electromagnetic field, and photons are ripples in that field. 332 00:16:59,640 --> 00:17:02,000 Speaker 1: And in that view, the fields are the fundamental thing, 333 00:17:02,240 --> 00:17:04,679 Speaker 1: and particles are just ripples in those things. They are 334 00:17:04,680 --> 00:17:07,560 Speaker 1: like emerging phenomena from the fields, and the fields can interact. 335 00:17:07,840 --> 00:17:10,119 Speaker 1: And we talk about that picture a lot on the podcast. 336 00:17:10,840 --> 00:17:13,280 Speaker 1: There's another way to think about things and say, you know, 337 00:17:13,440 --> 00:17:15,720 Speaker 1: fields are just like a construct in our minds. We 338 00:17:15,760 --> 00:17:18,960 Speaker 1: never see them directly. We only see them acting on particles, 339 00:17:19,000 --> 00:17:21,239 Speaker 1: and the particles are the things we can see. We 340 00:17:21,280 --> 00:17:25,240 Speaker 1: see dots on the screen, we see electrons moving through wires, etc. 341 00:17:25,840 --> 00:17:28,800 Speaker 1: So particles are the real things. And so from that 342 00:17:28,840 --> 00:17:31,840 Speaker 1: point of view, we have electrons and they're little particles, 343 00:17:31,880 --> 00:17:34,159 Speaker 1: and we have quarks and their little particles, and then 344 00:17:34,200 --> 00:17:36,800 Speaker 1: the forces we can talk about other particles. So we 345 00:17:36,880 --> 00:17:39,920 Speaker 1: have like the photon. What happens when two electrons repel 346 00:17:39,920 --> 00:17:43,600 Speaker 1: each other, they exchange photons. So this is the particle 347 00:17:43,640 --> 00:17:46,440 Speaker 1: picture of the universe. Everything is made out of little particles, 348 00:17:46,840 --> 00:17:49,840 Speaker 1: and it can explain matter. It's a little bit more awkward, 349 00:17:49,840 --> 00:17:52,440 Speaker 1: but it can also explain forces right in that picture, 350 00:17:52,440 --> 00:17:55,520 Speaker 1: like electrons exchange photons. That's the way they attract or 351 00:17:55,560 --> 00:17:58,200 Speaker 1: repel each other. And it's a little bit awkward because 352 00:17:58,240 --> 00:18:01,400 Speaker 1: like how exactly they do electrons and positrons attract each 353 00:18:01,400 --> 00:18:02,800 Speaker 1: other by exchanging photons. 354 00:18:03,040 --> 00:18:04,000 Speaker 3: It's hard to imagine you. 355 00:18:04,000 --> 00:18:07,280 Speaker 1: Could like attract Zach by throwing a ball at him, right, 356 00:18:07,320 --> 00:18:09,720 Speaker 1: it feels like it would only push him away. But 357 00:18:09,840 --> 00:18:11,760 Speaker 1: you know, this is the quantum world, and you can 358 00:18:11,800 --> 00:18:14,199 Speaker 1: do weird things like you can throw a photon with 359 00:18:14,320 --> 00:18:18,000 Speaker 1: negative momentum, so when Zach catches it, he's pulled towards you. 360 00:18:18,040 --> 00:18:20,480 Speaker 1: It's like a tractor beam photon. 361 00:18:20,600 --> 00:18:24,399 Speaker 2: And biology is too complicated, doesn't make sense. What are 362 00:18:24,440 --> 00:18:25,040 Speaker 2: you guys thinking? 363 00:18:26,920 --> 00:18:28,720 Speaker 1: Yeah, yeah, And this is one reason why I think 364 00:18:28,720 --> 00:18:30,640 Speaker 1: the field picture is a little bit more natural. 365 00:18:31,119 --> 00:18:31,920 Speaker 3: But anyway, we can. 366 00:18:31,840 --> 00:18:35,320 Speaker 1: Talk about these forces as mediated by particles. And these 367 00:18:35,359 --> 00:18:38,000 Speaker 1: particles have a property which is that they don't have 368 00:18:38,200 --> 00:18:40,840 Speaker 1: half integer spin like one half or negative one half. 369 00:18:40,880 --> 00:18:43,520 Speaker 1: They have integer spin. So a photon, for example, can 370 00:18:43,560 --> 00:18:46,960 Speaker 1: have spin one, spin zero or spin negative one. And 371 00:18:47,080 --> 00:18:49,679 Speaker 1: the W boson and the Z boson, and the Higgs 372 00:18:49,680 --> 00:18:52,800 Speaker 1: boson and the gluons, all the particles that correspond to 373 00:18:52,880 --> 00:18:56,000 Speaker 1: the forces and how matter particles exchange momentum, they all 374 00:18:56,040 --> 00:18:59,440 Speaker 1: have the same property that their spin is integer values, 375 00:18:59,520 --> 00:19:02,840 Speaker 1: you know, half it's like plus two minus one, this 376 00:19:02,960 --> 00:19:06,000 Speaker 1: kind of stuff. So those are particles we call bosons. 377 00:19:06,359 --> 00:19:09,280 Speaker 1: So the fermions and the matter particles, the bosons are 378 00:19:09,359 --> 00:19:11,439 Speaker 1: the force particles in this picture. 379 00:19:11,720 --> 00:19:14,720 Speaker 2: All right, So now we've got through the two kinds 380 00:19:14,720 --> 00:19:16,720 Speaker 2: of particles, and let's bring a little bit of pep 381 00:19:16,760 --> 00:19:19,800 Speaker 2: into this conversation after the break, So we'll talk about 382 00:19:19,800 --> 00:19:42,479 Speaker 2: the Paul exclusion principle when we get back all right, 383 00:19:42,760 --> 00:19:46,680 Speaker 2: So we've established that we have two kinds of particles. 384 00:19:46,680 --> 00:19:49,840 Speaker 2: We've got the fermions, which are the matter particles, and 385 00:19:49,880 --> 00:19:53,240 Speaker 2: the bosons, which are the force particles. Why does it 386 00:19:53,280 --> 00:19:55,880 Speaker 2: matter that we divide them in this way? Why can't 387 00:19:55,880 --> 00:19:57,040 Speaker 2: they all just be particles. 388 00:19:58,920 --> 00:20:02,800 Speaker 1: They are all just partticles or fields equivalently, but they 389 00:20:02,840 --> 00:20:07,000 Speaker 1: have very different behaviors, and that behavior is really important. Specifically, 390 00:20:07,080 --> 00:20:10,440 Speaker 1: bosons can do something fermions will never ever ever do, 391 00:20:11,000 --> 00:20:13,720 Speaker 1: which is, bosons can be in the same quantum state 392 00:20:14,000 --> 00:20:17,840 Speaker 1: and fermions never will. So you made this joke about PEP. 393 00:20:18,119 --> 00:20:23,080 Speaker 1: The poly exclusion principle, named after Wolfgunning Poll says that 394 00:20:23,200 --> 00:20:26,320 Speaker 1: no two fermions can ever be in the same quantum state. 395 00:20:26,440 --> 00:20:29,480 Speaker 1: So if you have two identical particles like two electrons, 396 00:20:29,800 --> 00:20:33,200 Speaker 1: they can't have all the same quantum description, which would 397 00:20:33,200 --> 00:20:37,719 Speaker 1: be like their location, their momentum, their spin, their energy, 398 00:20:37,800 --> 00:20:40,360 Speaker 1: all this kind of stuff. They can't be identical. They 399 00:20:40,440 --> 00:20:43,240 Speaker 1: have to be unique. Every fermion has to have a 400 00:20:43,280 --> 00:20:44,399 Speaker 1: different quantum state. 401 00:20:44,680 --> 00:20:46,239 Speaker 2: Does it make sense to think of that? So our 402 00:20:46,280 --> 00:20:49,800 Speaker 2: fermions are our matter particles. Does it make sense to 403 00:20:49,880 --> 00:20:52,960 Speaker 2: think of it as like two pieces of matter can't 404 00:20:53,359 --> 00:20:55,919 Speaker 2: take up the same space. Or this is like a 405 00:20:55,960 --> 00:20:58,400 Speaker 2: totally different thing than thinking about it that way. 406 00:20:58,720 --> 00:21:01,320 Speaker 1: Two pieces of matter can't up the same space as 407 00:21:01,359 --> 00:21:04,600 Speaker 1: long as they have something to differentiate them. So, for example, 408 00:21:04,640 --> 00:21:07,720 Speaker 1: electrons have two possible spins right, spin up and spin down. 409 00:21:08,240 --> 00:21:10,280 Speaker 1: So in the ground state of an atom, for example, 410 00:21:10,480 --> 00:21:14,000 Speaker 1: you can have two electrons with exactly the same energy, 411 00:21:14,040 --> 00:21:16,840 Speaker 1: the same momentum, the same location, the same energy, the 412 00:21:16,880 --> 00:21:19,320 Speaker 1: same everything, but one is spin up and the other 413 00:21:19,400 --> 00:21:22,920 Speaker 1: is spin down. That's why you have two electrons in 414 00:21:22,960 --> 00:21:25,960 Speaker 1: the lowest state. That's where that two comes from. Because 415 00:21:26,000 --> 00:21:28,720 Speaker 1: there are two options for spin. You can't have two 416 00:21:28,720 --> 00:21:31,440 Speaker 1: electrons both spin up, and you can't have two electrons 417 00:21:31,440 --> 00:21:32,160 Speaker 1: both spin down. 418 00:21:32,440 --> 00:21:33,480 Speaker 3: Because of this poly. 419 00:21:33,480 --> 00:21:36,520 Speaker 1: Exclusion principle, it says you can never have two electrons 420 00:21:36,520 --> 00:21:39,600 Speaker 1: in the same state, and that's why you don't get 421 00:21:39,640 --> 00:21:41,840 Speaker 1: all of the electrons in the ground state. If you 422 00:21:41,960 --> 00:21:44,399 Speaker 1: already have two electrons in that ground state, it's full. 423 00:21:44,600 --> 00:21:47,399 Speaker 1: It can't take anymore. There's no third spin right, So 424 00:21:47,440 --> 00:21:50,040 Speaker 1: when another electron comes along, it has to have a 425 00:21:50,080 --> 00:21:52,480 Speaker 1: higher energy, has to be in the next energy level 426 00:21:52,680 --> 00:21:55,800 Speaker 1: because the lowest rungs are filled and it's one electron 427 00:21:55,880 --> 00:21:58,520 Speaker 1: per unique state, right, So the lowest energy level has 428 00:21:58,560 --> 00:22:01,560 Speaker 1: two of those. The next one, because has more energy, 429 00:22:01,840 --> 00:22:04,919 Speaker 1: has more options for like where the electron it is 430 00:22:05,040 --> 00:22:07,600 Speaker 1: around the atom this p state. Now we're getting deep 431 00:22:07,600 --> 00:22:12,280 Speaker 1: into chemistry, some beyond my expertise right away. But that's 432 00:22:12,320 --> 00:22:14,639 Speaker 1: why you can have more electrons in that second one, 433 00:22:14,920 --> 00:22:16,600 Speaker 1: and then more in the third level and more in 434 00:22:16,640 --> 00:22:20,560 Speaker 1: the fourth because there's more options for differentiating exactly which 435 00:22:20,720 --> 00:22:23,520 Speaker 1: version of that energy level you're in. And this is 436 00:22:23,520 --> 00:22:26,720 Speaker 1: why we have chemistry. This is why gold looks the 437 00:22:26,720 --> 00:22:28,920 Speaker 1: way it does. This is why we have water, this 438 00:22:28,960 --> 00:22:32,119 Speaker 1: is why atoms bind together. This is why our whole 439 00:22:32,280 --> 00:22:36,479 Speaker 1: universe looks the way that it does, because fermions cannot 440 00:22:36,480 --> 00:22:37,359 Speaker 1: be in the same state. 441 00:22:37,680 --> 00:22:41,199 Speaker 2: Now, is this an observation of what's happening or do 442 00:22:41,280 --> 00:22:44,640 Speaker 2: we understand why it has to be that way. 443 00:22:45,240 --> 00:22:47,520 Speaker 1: It's still a little bit mysterious, Like, it's definitely an 444 00:22:47,560 --> 00:22:51,400 Speaker 1: observation and we've never ever seen it violated. And if 445 00:22:51,440 --> 00:22:53,840 Speaker 1: it was violated, like the whole universe would look different, 446 00:22:53,840 --> 00:22:56,440 Speaker 1: Like if somebody turned this rule off and said, hey, fermeons, 447 00:22:56,520 --> 00:22:59,080 Speaker 1: no problem. You can now share a state. All of 448 00:22:59,119 --> 00:23:00,000 Speaker 1: matter would collapse. 449 00:23:00,720 --> 00:23:03,440 Speaker 2: Bad news exactly, it would. 450 00:23:03,200 --> 00:23:04,880 Speaker 1: Be bad news. So I don't recommend it. If you're 451 00:23:04,920 --> 00:23:06,800 Speaker 1: sitting in the Universe control room and you have your 452 00:23:06,840 --> 00:23:10,520 Speaker 1: finger on that knob, call me please before you do anything. 453 00:23:11,119 --> 00:23:13,879 Speaker 1: We do have some handwavy explanations for why it is. 454 00:23:14,440 --> 00:23:17,040 Speaker 1: We don't have a really full formal proof. We can't 455 00:23:17,040 --> 00:23:20,760 Speaker 1: go from like, here are the fields, here's how Fermions 456 00:23:20,760 --> 00:23:23,600 Speaker 1: will behave. What we can do is prove the negative, 457 00:23:23,760 --> 00:23:27,680 Speaker 1: like we can show why Fermions can't do this thing, 458 00:23:28,440 --> 00:23:30,560 Speaker 1: Like we can show that if Fermions did this thing, 459 00:23:30,880 --> 00:23:33,320 Speaker 1: it would lead to some contradictions. So I'm trying to 460 00:23:33,320 --> 00:23:36,280 Speaker 1: walk you through a handwavy version of that proof in 461 00:23:36,320 --> 00:23:40,439 Speaker 1: a minute. But we couldn't have started from scratch and 462 00:23:40,640 --> 00:23:44,560 Speaker 1: really shown how this happens. And Fineman famously said that 463 00:23:44,560 --> 00:23:46,840 Speaker 1: we don't have a full proof, and also it's really 464 00:23:46,920 --> 00:23:50,679 Speaker 1: challenging to give an intuitive explanation for this because quote, 465 00:23:50,720 --> 00:23:53,399 Speaker 1: we do not have a complete understanding of the fundamental 466 00:23:53,400 --> 00:23:56,879 Speaker 1: principle involved. Finan was big on this theory that like, 467 00:23:57,040 --> 00:24:00,240 Speaker 1: if you can't explain it simply, you don't really understand it, 468 00:24:00,840 --> 00:24:03,400 Speaker 1: which I think is really interesting as a hypothesis because 469 00:24:03,400 --> 00:24:05,040 Speaker 1: it kind of lines up with what we were talking 470 00:24:05,040 --> 00:24:08,400 Speaker 1: about earlier, and it touches on something we were talking about, 471 00:24:08,440 --> 00:24:10,479 Speaker 1: I think on the discord of like how on this 472 00:24:10,520 --> 00:24:13,359 Speaker 1: pod we're constantly trying to explain complicated stuff in an 473 00:24:13,359 --> 00:24:15,800 Speaker 1: intuitive way. Without all the math. You can't just be like, 474 00:24:15,960 --> 00:24:17,960 Speaker 1: here's a bunch of math. This math tells you what 475 00:24:18,000 --> 00:24:20,520 Speaker 1: the answer is. We want to tell a story that 476 00:24:20,640 --> 00:24:23,399 Speaker 1: connects with the ideas in your head, so you go, oh, 477 00:24:23,680 --> 00:24:24,440 Speaker 1: that makes sense. 478 00:24:24,560 --> 00:24:25,000 Speaker 3: I get it. 479 00:24:25,119 --> 00:24:27,719 Speaker 1: Why it's this way and not the other way. And 480 00:24:27,760 --> 00:24:31,680 Speaker 1: that's very different from the mathematical explanation or concepts that 481 00:24:31,720 --> 00:24:33,959 Speaker 1: we often have in academia and we teach in college 482 00:24:34,000 --> 00:24:36,040 Speaker 1: and in graduate school, and that most physicists have in 483 00:24:36,080 --> 00:24:39,959 Speaker 1: their minds. This is like an intuitive grasp of something 484 00:24:40,320 --> 00:24:42,560 Speaker 1: you have to develop in order to explain it and 485 00:24:42,640 --> 00:24:44,960 Speaker 1: find me is saying that without that extra piece, this 486 00:24:45,160 --> 00:24:49,159 Speaker 1: like parallel explanation, that's intuitive, you don't really understand it. 487 00:24:49,560 --> 00:24:52,080 Speaker 1: And I think that's fascinating and maybe correct. But it's 488 00:24:52,280 --> 00:24:54,720 Speaker 1: a pretty strong statement of philosophy for a guy who 489 00:24:54,760 --> 00:24:56,360 Speaker 1: was famously against philosophy. 490 00:24:56,680 --> 00:24:59,040 Speaker 2: Yeah, and how do you think he would feel about 491 00:24:59,080 --> 00:25:02,080 Speaker 2: the current state of things today. Although I'm gonna go 492 00:25:02,080 --> 00:25:04,280 Speaker 2: ahead and admit that I hate questions where they're like, 493 00:25:04,280 --> 00:25:06,520 Speaker 2: what do you think Benjamin Franklin would think about blah 494 00:25:06,560 --> 00:25:09,159 Speaker 2: blah blah. It's like, I'm not Benjamin Franklin, and if 495 00:25:09,240 --> 00:25:11,040 Speaker 2: he was raised in our time, you might feel totally 496 00:25:11,080 --> 00:25:11,960 Speaker 2: different about things. 497 00:25:12,160 --> 00:25:15,040 Speaker 1: Yeah, Feineman is a complicated character because, on one hand, 498 00:25:15,560 --> 00:25:19,879 Speaker 1: super genius dude, lots of important insights, also lots of 499 00:25:19,920 --> 00:25:23,399 Speaker 1: great explanations, and he did something which I think is 500 00:25:23,440 --> 00:25:26,159 Speaker 1: really impressive that I've never seen before, which is he 501 00:25:26,200 --> 00:25:27,840 Speaker 1: came up with an explanation of or a concept in 502 00:25:27,840 --> 00:25:30,720 Speaker 1: this case Nuther's theorem in one of his popular books, 503 00:25:30,760 --> 00:25:35,240 Speaker 1: like for a popular Audience, and that explanation then got 504 00:25:35,240 --> 00:25:38,760 Speaker 1: transformed into a full rigorous proof, which is now the 505 00:25:38,760 --> 00:25:42,120 Speaker 1: go to rigorous proof you find in like formal physics books. 506 00:25:42,560 --> 00:25:44,520 Speaker 1: Usually things go the other way, you like, start with 507 00:25:44,520 --> 00:25:47,200 Speaker 1: a full rigorous proof and then you develop the intuitive explanation. 508 00:25:47,560 --> 00:25:49,720 Speaker 1: But he actually came up with it for the general 509 00:25:49,800 --> 00:25:52,760 Speaker 1: public and then it turned into a rigorous proof, So 510 00:25:52,840 --> 00:25:55,159 Speaker 1: that's pretty cool. Like, the guy definitely had talents and 511 00:25:55,200 --> 00:25:58,639 Speaker 1: lots of different directions. He's also famously kind of a jerk, 512 00:25:59,640 --> 00:26:02,680 Speaker 1: and so it's sort of a problematic figure in that sense. 513 00:26:02,720 --> 00:26:04,399 Speaker 1: I think if finally we're a lot today, he probably 514 00:26:04,400 --> 00:26:06,640 Speaker 1: would feel grumpy that people had come up with stuff 515 00:26:06,640 --> 00:26:07,120 Speaker 1: without him. 516 00:26:09,040 --> 00:26:11,960 Speaker 3: Great, I don't know Hardy. 517 00:26:12,160 --> 00:26:15,000 Speaker 2: Well, he's in our past. He's in the rear view mirror. Okay. 518 00:26:15,080 --> 00:26:19,240 Speaker 2: So we have observed that fermions don't occupy the same state. 519 00:26:19,520 --> 00:26:21,680 Speaker 2: We kind of understand why it would be nice to 520 00:26:21,760 --> 00:26:22,520 Speaker 2: understand better. 521 00:26:22,920 --> 00:26:26,119 Speaker 1: And we've observed that bosons can, right. We see this 522 00:26:26,240 --> 00:26:29,159 Speaker 1: all the time. Like you put two photons in a box, 523 00:26:29,240 --> 00:26:31,520 Speaker 1: they're very happy to sit right on top of each 524 00:26:31,560 --> 00:26:34,359 Speaker 1: other to be in exactly the same state. And this 525 00:26:34,440 --> 00:26:38,120 Speaker 1: lets you do things like make Bose Einstein condensates and 526 00:26:38,520 --> 00:26:42,800 Speaker 1: macroscopic objects that have quantum properties because all the photons 527 00:26:42,800 --> 00:26:44,639 Speaker 1: are in the same state, and you can't do that 528 00:26:44,680 --> 00:26:46,840 Speaker 1: with electrons. You put too many electrons together, they get 529 00:26:46,840 --> 00:26:48,800 Speaker 1: this degeneracy pressure. They don't want to be in the 530 00:26:48,800 --> 00:26:51,119 Speaker 1: same lowest state, so some of them have to be 531 00:26:51,160 --> 00:26:53,360 Speaker 1: in a higher energy state, and that's where you get 532 00:26:53,400 --> 00:26:57,440 Speaker 1: like pressure. That's why like white dwarves don't collapse because 533 00:26:57,440 --> 00:27:00,240 Speaker 1: the electrons inside them if they collapse would have to 534 00:27:00,320 --> 00:27:02,080 Speaker 1: end up being in the same lower energy state, and 535 00:27:02,080 --> 00:27:04,520 Speaker 1: they resist that they can't do it, and so like, 536 00:27:04,600 --> 00:27:07,560 Speaker 1: this has real impact in the universe, and it affects 537 00:27:07,600 --> 00:27:09,840 Speaker 1: how we do experiments and all sorts of stuff. And 538 00:27:09,880 --> 00:27:13,119 Speaker 1: so this is definitely real and we have some understanding 539 00:27:13,280 --> 00:27:13,760 Speaker 1: of how it. 540 00:27:13,720 --> 00:27:14,560 Speaker 3: Works, all right. 541 00:27:14,600 --> 00:27:19,840 Speaker 2: So fermions are our introverts and the bosons are our extroverts. 542 00:27:22,080 --> 00:27:24,399 Speaker 1: Electrons just want to be in their own house, like 543 00:27:24,440 --> 00:27:27,040 Speaker 1: watching their own TV show at night by themselves, and 544 00:27:27,080 --> 00:27:28,760 Speaker 1: photons are always up for a party. 545 00:27:29,040 --> 00:27:31,679 Speaker 2: Okay, So now we have a pretty good understanding of 546 00:27:32,200 --> 00:27:34,399 Speaker 2: fermions and bosons and what they can and can't do. 547 00:27:35,040 --> 00:27:36,840 Speaker 2: How do we get from here to paraparticles? 548 00:27:37,119 --> 00:27:37,480 Speaker 3: All right? 549 00:27:37,560 --> 00:27:41,200 Speaker 1: So to understand how paraparticles might fit into this picture, 550 00:27:41,280 --> 00:27:44,240 Speaker 1: because it sounds like there are only two options. Either 551 00:27:44,320 --> 00:27:47,160 Speaker 1: you have half into your spin, you know, one half, 552 00:27:47,200 --> 00:27:49,840 Speaker 1: three halves, five halves, or you have into your spin 553 00:27:50,040 --> 00:27:53,400 Speaker 1: zero one, two, three, whatever. What's another option? How could 554 00:27:53,440 --> 00:27:55,080 Speaker 1: you possibly have a third category? 555 00:27:55,200 --> 00:27:55,440 Speaker 3: Right? 556 00:27:55,800 --> 00:27:57,600 Speaker 1: And that was the prevailing wisdom for a long long 557 00:27:57,640 --> 00:28:01,600 Speaker 1: time until very recently. But to understand where the loophole is, 558 00:28:01,640 --> 00:28:05,120 Speaker 1: we've got to dig one level deeper into understanding why 559 00:28:05,160 --> 00:28:08,720 Speaker 1: fermions behave this way and why bosons behave the other way. 560 00:28:09,240 --> 00:28:11,280 Speaker 1: So we're going to go through this sort of rough 561 00:28:11,320 --> 00:28:14,920 Speaker 1: and imperfect proof of the poly exclusion principle to explain 562 00:28:15,040 --> 00:28:18,120 Speaker 1: why fermions behave one way and bosons the other way. 563 00:28:18,240 --> 00:28:20,000 Speaker 2: Daniel's got pep, All right, let's do that. 564 00:28:22,520 --> 00:28:26,720 Speaker 1: All right, So imagine two particles, particle one and particle two. 565 00:28:26,640 --> 00:28:29,480 Speaker 2: In typical physicist fashion. Those are very boring names for them, but. 566 00:28:29,520 --> 00:28:33,680 Speaker 1: Okay, okay, let's make them exciting names. 567 00:28:34,280 --> 00:28:36,479 Speaker 3: What would be exciting names for these particles? Now? 568 00:28:36,600 --> 00:28:38,720 Speaker 2: Feeling if we name them like Frank and Rita, it's 569 00:28:38,720 --> 00:28:41,600 Speaker 2: gonna be hard to keep track. Maybe one and two 570 00:28:41,760 --> 00:28:42,560 Speaker 2: was a good idea. 571 00:28:43,040 --> 00:28:48,440 Speaker 1: Okay, wow, that doctor criticism pretty quickly there. Alright, alright, alright, 572 00:28:48,480 --> 00:28:51,040 Speaker 1: so particle boring one in particle boring. 573 00:28:50,760 --> 00:28:51,520 Speaker 2: Two, all right. 574 00:28:51,760 --> 00:28:53,840 Speaker 1: Now, each of them can do one thing, right now, 575 00:28:53,920 --> 00:28:55,720 Speaker 1: They have two different options. They can be in state 576 00:28:55,760 --> 00:28:59,560 Speaker 1: A or state B. Okay, so particle A can do 577 00:28:59,600 --> 00:29:01,200 Speaker 1: two things. It can be in state A or it 578 00:29:01,240 --> 00:29:03,200 Speaker 1: can be in state B. Particle two can also be 579 00:29:03,240 --> 00:29:06,040 Speaker 1: in state A or state B. And then we can 580 00:29:06,040 --> 00:29:08,280 Speaker 1: describe the full quantum state of the pair of the 581 00:29:08,280 --> 00:29:12,200 Speaker 1: particles as saying like one A two B. That means 582 00:29:12,200 --> 00:29:14,960 Speaker 1: particle one is in state A, in particle two is 583 00:29:15,000 --> 00:29:15,760 Speaker 1: in state B. 584 00:29:16,120 --> 00:29:19,360 Speaker 2: Right, you could also have one B and two A, right, 585 00:29:19,400 --> 00:29:19,680 Speaker 2: and I. 586 00:29:19,640 --> 00:29:23,520 Speaker 1: Understanding absolutely exactly, And so let's do that. Let's take 587 00:29:23,520 --> 00:29:26,400 Speaker 1: our particles one A to B and let's swap them. 588 00:29:26,720 --> 00:29:30,160 Speaker 1: These are identical particles, okay, there's nothing different about them. 589 00:29:30,160 --> 00:29:32,200 Speaker 1: Every electron in the universe, for example, is the same. 590 00:29:32,840 --> 00:29:35,440 Speaker 1: And so let's just swap them. So we go from 591 00:29:35,480 --> 00:29:39,160 Speaker 1: one A to B to one B two A. Right now, 592 00:29:39,200 --> 00:29:42,640 Speaker 1: the quantum field theory of fermions, the math of fermions, 593 00:29:42,680 --> 00:29:45,960 Speaker 1: because they have spin one half. When you do this, 594 00:29:46,320 --> 00:29:49,160 Speaker 1: you get a minus sign. So you can't go from 595 00:29:49,160 --> 00:29:51,480 Speaker 1: one A to B just to one B two A. 596 00:29:52,120 --> 00:29:55,440 Speaker 1: You go to minus one B two A. You get 597 00:29:55,480 --> 00:29:59,160 Speaker 1: a negative sign in front of the quantum state. And 598 00:29:59,200 --> 00:30:01,800 Speaker 1: this has to do with what happens when you're swapping 599 00:30:01,840 --> 00:30:04,200 Speaker 1: them and you're making a face that tells me I 600 00:30:04,240 --> 00:30:05,760 Speaker 1: need to pause so you can ask a question. 601 00:30:06,680 --> 00:30:10,080 Speaker 2: Okay, So we said that you can have one A 602 00:30:10,320 --> 00:30:14,240 Speaker 2: to B as one state, and you can have one 603 00:30:14,280 --> 00:30:17,280 Speaker 2: B two A as another state. Yes, but I thought 604 00:30:17,320 --> 00:30:19,800 Speaker 2: that you were saying that, actually, you can't have one 605 00:30:19,840 --> 00:30:22,080 Speaker 2: B two A. It has to be negative one B 606 00:30:22,160 --> 00:30:22,480 Speaker 2: two A. 607 00:30:22,960 --> 00:30:24,959 Speaker 1: You can have one B two ah. Okay, but if 608 00:30:25,000 --> 00:30:27,080 Speaker 1: you start with one A two B and then you 609 00:30:27,160 --> 00:30:29,680 Speaker 1: swap them, you don't end up at one B two A, 610 00:30:29,840 --> 00:30:32,640 Speaker 1: which you end up with is negative one B two A. 611 00:30:32,960 --> 00:30:33,280 Speaker 2: Okay. 612 00:30:33,640 --> 00:30:36,200 Speaker 1: That's like saying, you know, take your driver's license and 613 00:30:36,720 --> 00:30:39,400 Speaker 1: or flip it around right, you don't necessarily get it 614 00:30:39,440 --> 00:30:41,800 Speaker 1: in this exactly the same orientation depending on how you 615 00:30:41,840 --> 00:30:42,280 Speaker 1: spin it. 616 00:30:42,400 --> 00:30:42,600 Speaker 3: Right. 617 00:30:43,120 --> 00:30:45,680 Speaker 1: Some things like a sphere, doesn't matter how you spin it, 618 00:30:45,680 --> 00:30:48,040 Speaker 1: you end up with exactly the same sphere as perfect symmetry. 619 00:30:48,560 --> 00:30:51,800 Speaker 1: Other things have like a handedness or an orientation right, 620 00:30:51,800 --> 00:30:54,440 Speaker 1: like or take your left hand and turn it around. 621 00:30:54,520 --> 00:30:56,960 Speaker 1: It doesn't look exactly like your right hand. Right, maybe 622 00:30:56,960 --> 00:30:59,000 Speaker 1: it looks like a mirror image of your right hand. 623 00:30:59,040 --> 00:31:02,040 Speaker 1: It's like negative of your right hand. So this is 624 00:31:02,040 --> 00:31:04,200 Speaker 1: the part where we're being like a little bit fuzzy 625 00:31:04,240 --> 00:31:07,880 Speaker 1: and sloppy. But fermions, because they spin one half when 626 00:31:07,920 --> 00:31:10,400 Speaker 1: you swap them, you get a negative sign in the 627 00:31:10,480 --> 00:31:11,160 Speaker 1: quantum state. 628 00:31:11,320 --> 00:31:15,360 Speaker 2: Okay, So that only happens with fermions, not with bosons. 629 00:31:15,560 --> 00:31:19,080 Speaker 1: Only with fermions, not with bosons. And that's what makes 630 00:31:19,120 --> 00:31:22,040 Speaker 1: this impossible. That's where we have a contradiction, right, because 631 00:31:22,720 --> 00:31:25,120 Speaker 1: say you have these two particles in the same state. 632 00:31:25,240 --> 00:31:28,160 Speaker 1: Say you started with one A two A, right, both 633 00:31:28,200 --> 00:31:29,400 Speaker 1: particles in the same state. 634 00:31:29,520 --> 00:31:32,360 Speaker 2: Can't do that, Okay, Oh no, you can with bosons. 635 00:31:32,000 --> 00:31:33,880 Speaker 1: You can with bosons. Well, let's say we have fermions 636 00:31:33,880 --> 00:31:35,720 Speaker 1: and we try to do that. Let's try to do 637 00:31:35,760 --> 00:31:38,040 Speaker 1: that and see what happens. Okay, so we have one 638 00:31:38,080 --> 00:31:40,640 Speaker 1: A two A where like we put two fermions in 639 00:31:40,720 --> 00:31:44,360 Speaker 1: the same place, in the same state. Okay, Well, now 640 00:31:44,400 --> 00:31:47,000 Speaker 1: let's swap them. Well, what happens. Quantum field theory says 641 00:31:47,040 --> 00:31:50,480 Speaker 1: we get negative one A two A. Okay, right, because 642 00:31:50,520 --> 00:31:52,880 Speaker 1: when we swap fermions we get a negative sign. But 643 00:31:52,880 --> 00:31:55,560 Speaker 1: these are supposed to be indistinguishable particles, so if you 644 00:31:55,600 --> 00:31:58,400 Speaker 1: swap them, you shouldn't get any change because there's no 645 00:31:58,440 --> 00:32:00,960 Speaker 1: real difference. You're swapping one A to two you have 646 00:32:01,040 --> 00:32:03,520 Speaker 1: to get one A two A. But quantum field theory says, no, 647 00:32:03,920 --> 00:32:06,640 Speaker 1: you have to get negative one A two A. So 648 00:32:06,680 --> 00:32:09,520 Speaker 1: we have two different rules. One that says if you 649 00:32:09,560 --> 00:32:12,160 Speaker 1: have particles in the same state and they're indistinguishable, and 650 00:32:12,200 --> 00:32:15,680 Speaker 1: you swap them, nothing happens. And the other rule from 651 00:32:15,760 --> 00:32:18,240 Speaker 1: field theory that says if they're fermions and you swap them, 652 00:32:18,320 --> 00:32:22,480 Speaker 1: you get a negative sign. Boom, that's a contradiction. So 653 00:32:22,520 --> 00:32:24,920 Speaker 1: that tells us you just can't do this. You can't 654 00:32:24,960 --> 00:32:27,800 Speaker 1: have fermions in the same state because then if you 655 00:32:27,800 --> 00:32:30,360 Speaker 1: swap them, you get a contradiction. Quantum field theory says 656 00:32:30,400 --> 00:32:33,200 Speaker 1: you're supposed to get a negative sign. Common sense says 657 00:32:33,520 --> 00:32:35,680 Speaker 1: you can't get a negative sign if you swap things 658 00:32:35,680 --> 00:32:36,440 Speaker 1: that aren't different. 659 00:32:36,680 --> 00:32:40,160 Speaker 2: Okay, So the Pauly exclusion principle is the result of 660 00:32:40,240 --> 00:32:41,960 Speaker 2: what happens with quantum field theory. 661 00:32:42,240 --> 00:32:45,320 Speaker 1: Yes, exactly. And you might think, well, what's this negative sign? 662 00:32:45,400 --> 00:32:47,960 Speaker 1: What is going on there? Remember that this negative sign 663 00:32:48,000 --> 00:32:51,720 Speaker 1: is part of the quantum state. It's not something we observe, right, 664 00:32:52,000 --> 00:32:54,240 Speaker 1: a negative sign and a quantum state is not observable 665 00:32:54,240 --> 00:32:56,840 Speaker 1: because every observable you make is only sensitive to the 666 00:32:56,920 --> 00:33:00,520 Speaker 1: quantum states squared. Remember quantum state. It can also be 667 00:33:00,600 --> 00:33:03,080 Speaker 1: like complex numbers. You can have like a wave function 668 00:33:03,160 --> 00:33:05,480 Speaker 1: has like four plus two I in it, and you 669 00:33:05,480 --> 00:33:08,000 Speaker 1: can't observe those things, but when you square it, the 670 00:33:08,040 --> 00:33:11,040 Speaker 1: imaginary part goes away, so we can't observe this. It's 671 00:33:11,080 --> 00:33:13,760 Speaker 1: like a hidden internal part of the quantum state. We 672 00:33:13,800 --> 00:33:16,680 Speaker 1: can't observe. And yet the math is there and it's real, 673 00:33:16,720 --> 00:33:18,960 Speaker 1: and it tells us that fermions cannot do this thing 674 00:33:19,000 --> 00:33:22,800 Speaker 1: because it leads to an inherent contradiction. Now, spin one particles, 675 00:33:22,840 --> 00:33:27,040 Speaker 1: bosons are different. Their rules when you swap them are different. 676 00:33:27,400 --> 00:33:29,640 Speaker 1: If you swap one A two B, and now you're 677 00:33:29,680 --> 00:33:32,680 Speaker 1: talking about bosons, you don't get the negative sign. You 678 00:33:32,800 --> 00:33:36,200 Speaker 1: just get one B two A. Everybody's happy. So if 679 00:33:36,240 --> 00:33:38,480 Speaker 1: you started with one A two A and you swap them, 680 00:33:38,720 --> 00:33:41,000 Speaker 1: quantum field theory says you get one A two A. 681 00:33:41,040 --> 00:33:43,920 Speaker 1: Common sense says you get one A two A, no contradiction. 682 00:33:44,360 --> 00:33:48,440 Speaker 1: Everybody's cool. It's that negative sign, that unobservable negative sign 683 00:33:48,480 --> 00:33:51,440 Speaker 1: in the quantum state that appears for fermions when you 684 00:33:51,480 --> 00:33:54,480 Speaker 1: swap them. That causes them to never be allowed to 685 00:33:54,480 --> 00:33:58,080 Speaker 1: be in the same quantum state if they're indistinguishable fermions. 686 00:33:58,520 --> 00:34:00,480 Speaker 2: Okay, so just to make sure that I'm under so 687 00:34:00,560 --> 00:34:03,440 Speaker 2: like negative one and one, they cancel each other out 688 00:34:03,480 --> 00:34:04,800 Speaker 2: when you add them together. 689 00:34:04,840 --> 00:34:06,560 Speaker 3: Or when you square them you get the same answer. 690 00:34:06,680 --> 00:34:09,759 Speaker 2: Okay, And so I should be keeping that in my head. 691 00:34:09,800 --> 00:34:13,400 Speaker 2: This isn't like we arbitrarily identified that some state is 692 00:34:13,480 --> 00:34:16,520 Speaker 2: negative one, and you could have called the states A, B, 693 00:34:16,680 --> 00:34:20,080 Speaker 2: and C. Like there is actually something about negative one 694 00:34:20,160 --> 00:34:24,680 Speaker 2: and one that is different in an important mathematical. 695 00:34:24,160 --> 00:34:28,040 Speaker 1: Way, exactly. And the important thing here is fermions have 696 00:34:28,120 --> 00:34:30,640 Speaker 1: a different kind of spin, and that changes what happens 697 00:34:30,640 --> 00:34:33,120 Speaker 1: when you swamp them and introduces this negative sign. 698 00:34:33,280 --> 00:34:33,560 Speaker 3: Okay. 699 00:34:33,680 --> 00:34:36,239 Speaker 1: And if you're curious about why that is exactly, this 700 00:34:36,320 --> 00:34:39,560 Speaker 1: is the bit that's famously impossible to explain with intuition. 701 00:34:39,920 --> 00:34:40,920 Speaker 3: We have math for it. 702 00:34:40,920 --> 00:34:43,720 Speaker 1: It's called the spin statistics theorem. And even Richard Meineman 703 00:34:43,800 --> 00:34:46,600 Speaker 1: couldn't come up with an intuitive explanation for it. So 704 00:34:46,680 --> 00:34:48,919 Speaker 1: I hope you're gonna excuse me for not having one either. 705 00:34:49,520 --> 00:34:51,279 Speaker 1: But if you take us out a word for that, 706 00:34:51,320 --> 00:34:53,240 Speaker 1: the fermions, when you swap them, you get a negative 707 00:34:53,280 --> 00:34:56,080 Speaker 1: sign that's not observable, but it does prevent them from 708 00:34:56,120 --> 00:34:58,400 Speaker 1: ever being in the same quantum state. Then you can 709 00:34:58,440 --> 00:35:01,920 Speaker 1: go from there to understand why the Fermi exclusion principle happens. 710 00:35:02,080 --> 00:35:04,640 Speaker 1: And it's going to lead us to think about the 711 00:35:04,680 --> 00:35:08,120 Speaker 1: third way that paraparticles might behave And if. 712 00:35:07,960 --> 00:35:11,080 Speaker 2: You are excited about that, then stick with us, because 713 00:35:11,080 --> 00:35:33,040 Speaker 2: we're gonna get to it after the break. Okay, so 714 00:35:33,360 --> 00:35:36,160 Speaker 2: we teased you before the commercial break that we're going 715 00:35:36,160 --> 00:35:39,360 Speaker 2: to explain to you how para particles behave. Your weight 716 00:35:39,480 --> 00:35:43,360 Speaker 2: is over, Daniel tell us about paraparticles and how they behave. 717 00:35:43,719 --> 00:35:46,920 Speaker 1: So for a long time, decades and decades, people thought 718 00:35:47,239 --> 00:35:51,000 Speaker 1: that fermions and bosons were the only options, not only 719 00:35:51,080 --> 00:35:54,279 Speaker 1: because hey, look, spin one half and integer spins seemed 720 00:35:54,320 --> 00:35:57,239 Speaker 1: like the only choices because like spin one third or 721 00:35:57,239 --> 00:35:59,880 Speaker 1: spin two thirds is impossible, but also in terms of 722 00:35:59,880 --> 00:36:02,319 Speaker 1: the explanation we just gave, it feels like there are 723 00:36:02,320 --> 00:36:04,560 Speaker 1: two options. Either you add a negative sign when you 724 00:36:04,560 --> 00:36:06,920 Speaker 1: swap them, like fermions, which means you can't be in 725 00:36:06,960 --> 00:36:10,359 Speaker 1: the same quantum state, or you don't like bosons, which 726 00:36:10,400 --> 00:36:12,680 Speaker 1: means you can be in the same quantum state. So 727 00:36:12,760 --> 00:36:14,799 Speaker 1: it seems like there's no crack there. It seems like 728 00:36:14,800 --> 00:36:18,120 Speaker 1: there's no room for another direction. And in the nineteen 729 00:36:18,160 --> 00:36:20,400 Speaker 1: seventies somebody went to a bunch of math to prove 730 00:36:21,000 --> 00:36:24,719 Speaker 1: that there is no third option under certain conditions. So 731 00:36:24,760 --> 00:36:27,160 Speaker 1: like if you live in a universe where space has 732 00:36:27,200 --> 00:36:30,160 Speaker 1: three dimensions, then there is no other option. You have 733 00:36:30,200 --> 00:36:32,840 Speaker 1: fermions and you have bosons, and that's its zip and period. 734 00:36:33,239 --> 00:36:35,279 Speaker 1: So people sort of put this away for a long time. 735 00:36:35,280 --> 00:36:38,279 Speaker 1: They were like, yeah, well that's done. Somebody proved it 736 00:36:38,680 --> 00:36:41,040 Speaker 1: dot dot dot. Nobody should ever spend time thinking about 737 00:36:41,080 --> 00:36:43,719 Speaker 1: it again. And that's like a famous place to make 738 00:36:43,760 --> 00:36:47,719 Speaker 1: a big discovery, because I'm sure this happens in biology. Also, 739 00:36:48,360 --> 00:36:51,239 Speaker 1: you have a paper which makes a big advance and 740 00:36:51,280 --> 00:36:54,319 Speaker 1: then it gets sort of summarized in a shorthanded sort 741 00:36:54,320 --> 00:36:57,359 Speaker 1: of way that ignores some of the assumptions that went 742 00:36:57,400 --> 00:36:59,920 Speaker 1: into it, and the conclusions just sort of get broaden 743 00:37:00,160 --> 00:37:02,160 Speaker 1: a little bit, and then people treat the lore as 744 00:37:02,200 --> 00:37:05,239 Speaker 1: if it was real and complete, and people rarely go 745 00:37:05,280 --> 00:37:07,920 Speaker 1: back and read the original paper to discover ooh, actually 746 00:37:08,000 --> 00:37:11,200 Speaker 1: there are coveyats here. So there are loopholes, and people 747 00:37:11,239 --> 00:37:13,759 Speaker 1: who do and discover those loopholes and then explore them 748 00:37:14,080 --> 00:37:17,200 Speaker 1: can like crack open a whole new area of physics. 749 00:37:17,200 --> 00:37:17,680 Speaker 3: Sometimes. 750 00:37:17,760 --> 00:37:19,799 Speaker 2: That's why it is so critical to read and to 751 00:37:19,880 --> 00:37:21,160 Speaker 2: read the original papers. 752 00:37:21,440 --> 00:37:23,320 Speaker 1: And for those of you wondering what that sound is 753 00:37:23,320 --> 00:37:26,680 Speaker 1: in the background. That's a big rainstorm in Virginia right now. 754 00:37:27,120 --> 00:37:30,200 Speaker 2: I love rain. Was that a dig on Virginia? 755 00:37:30,520 --> 00:37:32,560 Speaker 3: Why do you assume that's a dig? That's definitely not 756 00:37:32,640 --> 00:37:33,000 Speaker 3: a dig. 757 00:37:33,320 --> 00:37:34,360 Speaker 2: This is because I know you. 758 00:37:36,000 --> 00:37:38,680 Speaker 1: This week I'm an Aspen for the Aspen Center for Physics, 759 00:37:39,120 --> 00:37:41,759 Speaker 1: and it rains every afternoon and I love it. The 760 00:37:41,800 --> 00:37:45,200 Speaker 1: smell of it in the mountains is just wonderful. The 761 00:37:45,280 --> 00:37:47,200 Speaker 1: thing I do love about mountain rain is that it 762 00:37:47,360 --> 00:37:48,600 Speaker 1: ends also quickly. 763 00:37:48,800 --> 00:37:51,719 Speaker 2: Yeah, well, well those are rainstorms don't last very long. 764 00:37:52,360 --> 00:37:54,040 Speaker 2: And I am the reason you can hear it is 765 00:37:54,040 --> 00:37:57,400 Speaker 2: because I converted the tech room in the barn, the 766 00:37:57,440 --> 00:38:00,840 Speaker 2: horse barn that we have on our property to my office, 767 00:38:00,960 --> 00:38:03,000 Speaker 2: and so there's a metal roof above me, and so 768 00:38:03,080 --> 00:38:06,839 Speaker 2: the metal roof really makes the sound of rain much louder, 769 00:38:06,880 --> 00:38:09,080 Speaker 2: which I love when I'm sleeping up here at night. 770 00:38:09,120 --> 00:38:10,759 Speaker 2: Every once in a while I have sleepovers up here 771 00:38:10,800 --> 00:38:13,520 Speaker 2: with my daughter on Friday nights. But anyway, sorry about 772 00:38:13,520 --> 00:38:15,760 Speaker 2: the background noise, everyone, no problem. 773 00:38:16,080 --> 00:38:19,600 Speaker 1: And we now have enough background to understand paraparticles because 774 00:38:19,719 --> 00:38:23,879 Speaker 1: very recently two physicists at Rice University, which we both 775 00:38:23,960 --> 00:38:28,320 Speaker 1: know and love found some loopholes in this nineteen seventies 776 00:38:28,480 --> 00:38:31,200 Speaker 1: no go theorem, the one the famously said it's impossible 777 00:38:31,200 --> 00:38:34,239 Speaker 1: to have anything but a fermion and a boson. And 778 00:38:34,280 --> 00:38:37,239 Speaker 1: the loophole is, what if you give these particles some 779 00:38:37,440 --> 00:38:41,080 Speaker 1: other kind of properties, things that like a minus sign, 780 00:38:41,480 --> 00:38:46,239 Speaker 1: are not observable directly and disappear when you square it right. 781 00:38:46,280 --> 00:38:48,200 Speaker 1: So like a minus sign is a great example, because 782 00:38:48,239 --> 00:38:50,400 Speaker 1: you square it, you have plus one. If you didn't 783 00:38:50,400 --> 00:38:52,960 Speaker 1: have a minus sign, you can't tell plus one squared 784 00:38:53,000 --> 00:38:55,719 Speaker 1: and minus one squared have the same answer. But they 785 00:38:55,760 --> 00:38:58,400 Speaker 1: came up with another thing you can add to this particle, 786 00:38:58,480 --> 00:39:01,600 Speaker 1: like another category, another part of the description, not a 787 00:39:01,640 --> 00:39:05,600 Speaker 1: minus sign, but like a new dimension to this quantum field, 788 00:39:06,040 --> 00:39:08,279 Speaker 1: a new attribute, a new label you can give it, 789 00:39:08,840 --> 00:39:12,000 Speaker 1: and this kind of thing. Also when you square it, 790 00:39:12,000 --> 00:39:15,279 Speaker 1: it goes away. So there's some technical details here, but 791 00:39:15,320 --> 00:39:18,200 Speaker 1: the sort of way to understand it intuitively is that 792 00:39:18,280 --> 00:39:22,120 Speaker 1: these internal states depend on the observer a little bit. 793 00:39:22,560 --> 00:39:27,040 Speaker 1: So like you and I might see this electron differently 794 00:39:27,520 --> 00:39:30,800 Speaker 1: because we're different observers and we might make different observations. 795 00:39:31,040 --> 00:39:33,839 Speaker 3: So it's a little bit of like relativity there. So 796 00:39:33,880 --> 00:39:34,200 Speaker 3: if you. 797 00:39:34,200 --> 00:39:37,640 Speaker 1: Add this to some particle states in a weird mathematical way, 798 00:39:38,320 --> 00:39:41,759 Speaker 1: you can create a new kind of behavior. So it 799 00:39:41,880 --> 00:39:44,160 Speaker 1: sort of like fuzzes up a little bit, this notion 800 00:39:44,200 --> 00:39:48,640 Speaker 1: of indistinguishable particles. Are the particles indistinguishable or not? So 801 00:39:48,680 --> 00:39:51,360 Speaker 1: you might be wondering, well, we have electrons and we 802 00:39:51,440 --> 00:39:54,480 Speaker 1: have photons. Are there things out there in the universe 803 00:39:54,520 --> 00:39:57,920 Speaker 1: that follow this new weird quantum math. The answer is, 804 00:39:58,239 --> 00:40:02,280 Speaker 1: we don't know, not yet. What they've done is show 805 00:40:02,360 --> 00:40:07,160 Speaker 1: that there is another mathematical description of fields and particles 806 00:40:07,160 --> 00:40:10,239 Speaker 1: that you can construct that has like a third kind 807 00:40:10,239 --> 00:40:13,360 Speaker 1: of behavior. It's not a fermion and it's not a boson, 808 00:40:13,960 --> 00:40:18,480 Speaker 1: but it is self consistent and mathematical. Nobody's built one, 809 00:40:18,680 --> 00:40:21,799 Speaker 1: but they just sort of like mathematically shown that as 810 00:40:21,840 --> 00:40:24,200 Speaker 1: far as we know, the rules of the universe don't 811 00:40:24,200 --> 00:40:24,960 Speaker 1: disallow this. 812 00:40:25,400 --> 00:40:28,680 Speaker 2: So I don't want to ever question the amazing research 813 00:40:28,680 --> 00:40:31,760 Speaker 2: that comes out of Rice University. But it sounds like okay, 814 00:40:31,760 --> 00:40:33,400 Speaker 2: So they're like, well, there's this one thing we can't 815 00:40:33,440 --> 00:40:37,520 Speaker 2: see and can't measure, and so let's add another thing 816 00:40:37,560 --> 00:40:39,799 Speaker 2: we can't see or we can't measure. It's just like fire, 817 00:40:40,000 --> 00:40:41,799 Speaker 2: you know, like biologists can't be like, well, what if 818 00:40:41,800 --> 00:40:45,440 Speaker 2: the viruses we're wearing hats, maybe we should look for 819 00:40:46,719 --> 00:40:49,520 Speaker 2: what's a good combination of hat and viruses? 820 00:40:49,800 --> 00:40:50,000 Speaker 3: Right. 821 00:40:50,239 --> 00:40:52,439 Speaker 1: This is like taking the quantum particles and saying, hey, 822 00:40:52,760 --> 00:40:55,279 Speaker 1: we've only been thinking about them wearing cowboy hats. 823 00:40:55,280 --> 00:40:56,760 Speaker 3: What if they wear other kinds of hats? 824 00:40:56,920 --> 00:40:59,200 Speaker 1: What if choice of hats is another like degree of 825 00:40:59,239 --> 00:41:03,160 Speaker 1: freedom for describing these particles. And it turns out if 826 00:41:03,160 --> 00:41:05,520 Speaker 1: you do that, it cracks this open a little bit 827 00:41:05,560 --> 00:41:07,759 Speaker 1: and it lets you have another category. And so that's 828 00:41:07,800 --> 00:41:12,840 Speaker 1: interesting mathematically. It's only interesting physically if it describes the universe. 829 00:41:12,880 --> 00:41:15,000 Speaker 1: If the universe does this in the same way that 830 00:41:15,080 --> 00:41:18,680 Speaker 1: like DrAk looked at the solutions to the Shortener equation 831 00:41:18,760 --> 00:41:21,160 Speaker 1: and he was like, oh, this is interesting. This allows 832 00:41:21,200 --> 00:41:23,799 Speaker 1: you to have electrons but also allows you to have 833 00:41:23,960 --> 00:41:28,160 Speaker 1: positively charged particles. That doesn't mean the universe does it, right. 834 00:41:28,520 --> 00:41:31,120 Speaker 1: It could have just been like a mathematical oddity like, oh, 835 00:41:31,200 --> 00:41:33,799 Speaker 1: the math allows this, but does the universe choose it? 836 00:41:33,840 --> 00:41:36,680 Speaker 1: And turns out yes, the universe does choose to make antiparticles, 837 00:41:37,080 --> 00:41:40,960 Speaker 1: and the universe in many other cases chooses to explore 838 00:41:41,120 --> 00:41:44,040 Speaker 1: all the avenues of symmetries. We don't know if it does. 839 00:41:44,080 --> 00:41:44,680 Speaker 3: In this case. 840 00:41:45,080 --> 00:41:48,000 Speaker 1: What we've shown is that the mathematics of our description 841 00:41:48,120 --> 00:41:52,040 Speaker 1: of the universe do allow for our third category particles paraparticles, 842 00:41:52,520 --> 00:41:54,799 Speaker 1: but we don't know if they do ever exist in 843 00:41:54,840 --> 00:41:57,640 Speaker 1: the universe, and if they do, we don't think they 844 00:41:57,640 --> 00:42:01,520 Speaker 1: would be fundamental particles the way like photons and electrons are, 845 00:42:01,560 --> 00:42:04,600 Speaker 1: because there are no fundamental particles we know of that 846 00:42:04,680 --> 00:42:07,560 Speaker 1: fall into this category. You'd have to make like quasi 847 00:42:07,600 --> 00:42:12,480 Speaker 1: particles the way you make like anions or plasmons or phonons. 848 00:42:12,960 --> 00:42:16,480 Speaker 1: These are things that follow the math of particles. But 849 00:42:16,719 --> 00:42:20,520 Speaker 1: our waves not in a fundamental field like the electromagnetic 850 00:42:20,520 --> 00:42:23,360 Speaker 1: field or the electron field, but a wave in something else, 851 00:42:23,600 --> 00:42:25,560 Speaker 1: like a wave in air, or a wave in water, 852 00:42:26,160 --> 00:42:30,000 Speaker 1: or a wave in electron gas in some weird meta 853 00:42:30,040 --> 00:42:33,000 Speaker 1: material that solid state physicists cook up in their dark 854 00:42:33,040 --> 00:42:36,600 Speaker 1: little labs. And so it might be something that people 855 00:42:36,680 --> 00:42:39,680 Speaker 1: can create in the labs someday in the future and show, oh, look, 856 00:42:39,960 --> 00:42:43,640 Speaker 1: we've created this new quasi particle that has a different 857 00:42:43,680 --> 00:42:47,640 Speaker 1: kind of mathematical behavior than fermions or bosons. So that 858 00:42:47,640 --> 00:42:50,440 Speaker 1: would be cool and something nobody had seen before. Doesn't 859 00:42:50,480 --> 00:42:53,440 Speaker 1: mean we can make hoverboards or we can make wormholes 860 00:42:53,560 --> 00:42:56,319 Speaker 1: or anything like that yet, But you never know with 861 00:42:56,360 --> 00:42:58,440 Speaker 1: fundamental physics, like what's this going to lead to? 862 00:42:58,920 --> 00:42:59,640 Speaker 3: It's very deep. 863 00:42:59,600 --> 00:43:02,480 Speaker 1: It's very much at the foundation of quantum field theory 864 00:43:02,480 --> 00:43:04,920 Speaker 1: and our understanding of like the mathematics of it. So 865 00:43:04,960 --> 00:43:08,400 Speaker 1: it's exciting when anybody makes any progress in that area. 866 00:43:08,520 --> 00:43:10,520 Speaker 1: And it's a great example to push back on the 867 00:43:10,560 --> 00:43:13,120 Speaker 1: nonsense you might hear online that like physics hasn't made 868 00:43:13,160 --> 00:43:16,359 Speaker 1: any progress since the nineteen seventies. Like, dude, we're making 869 00:43:16,360 --> 00:43:18,640 Speaker 1: progress all the time. And here's a great example. 870 00:43:19,160 --> 00:43:21,719 Speaker 2: So are people currently working on experiments to try to 871 00:43:21,760 --> 00:43:22,880 Speaker 2: find these particles? 872 00:43:23,280 --> 00:43:28,680 Speaker 3: Yeah, more create than find. People are trying to engineer weird. 873 00:43:28,480 --> 00:43:31,920 Speaker 1: Exotic materials that might have these behaviors. And this is 874 00:43:31,960 --> 00:43:34,120 Speaker 1: the kind of stuff solid state physicists love to do, 875 00:43:34,280 --> 00:43:36,480 Speaker 1: you know. They're like, what if we made super thin 876 00:43:36,600 --> 00:43:39,640 Speaker 1: layers of graphene and then super thin layers of this, 877 00:43:40,000 --> 00:43:42,920 Speaker 1: and could we force the electrons to act as if 878 00:43:42,920 --> 00:43:45,640 Speaker 1: they're in a two D universe? Or can we see 879 00:43:45,760 --> 00:43:51,080 Speaker 1: superconductivity or whatever. So they're very clever at engineering materials 880 00:43:51,440 --> 00:43:54,160 Speaker 1: to make quantum states behave in new ways, and that's 881 00:43:54,400 --> 00:43:57,480 Speaker 1: the most promising way. We might see something that's a paraparticle, 882 00:43:57,800 --> 00:44:00,840 Speaker 1: you would be an emergent phenomenon, a quad particle that 883 00:44:00,960 --> 00:44:05,919 Speaker 1: comes out of the behavior of these weird exotic systems 884 00:44:06,400 --> 00:44:10,239 Speaker 1: and not exotic and like impossible or wrong in any way, 885 00:44:10,440 --> 00:44:13,600 Speaker 1: just like not something we find in nature usually. But 886 00:44:13,640 --> 00:44:16,080 Speaker 1: that's the cool thing about being humans. We're like constantly 887 00:44:16,480 --> 00:44:18,799 Speaker 1: pushing the boundaries and saying, hey, can the universe do this? 888 00:44:18,880 --> 00:44:21,400 Speaker 1: What happens if we do that? And it teaches us 889 00:44:21,440 --> 00:44:23,560 Speaker 1: things about the universe. This is how we learn where 890 00:44:23,600 --> 00:44:26,000 Speaker 1: the boundaries are by pushing them, right, yeah. 891 00:44:26,080 --> 00:44:28,120 Speaker 2: Yeah, So when we have a guest on our show, 892 00:44:28,680 --> 00:44:32,200 Speaker 2: you usually end the interview by asking them if an 893 00:44:32,239 --> 00:44:35,879 Speaker 2: alien were to visit our planets from an advanced civilization, 894 00:44:36,600 --> 00:44:39,080 Speaker 2: and you ask them if their thing exists on their 895 00:44:39,080 --> 00:44:41,879 Speaker 2: home planets. That's your way of testing how confident they 896 00:44:41,880 --> 00:44:45,320 Speaker 2: are that the thing actually exists. So, Daniel, if aliens 897 00:44:45,360 --> 00:44:48,040 Speaker 2: from an advanced civilization landed on Earth, do you think 898 00:44:48,120 --> 00:44:51,960 Speaker 2: they would know about paraparticles and would think that paraparticles existed? 899 00:44:52,400 --> 00:44:54,359 Speaker 1: This is a great question and a fair one, since 900 00:44:54,360 --> 00:44:56,799 Speaker 1: I just wrote a whole book on how aliens might 901 00:44:56,840 --> 00:44:59,040 Speaker 1: think about the universe. Y'all should check it out. It's 902 00:44:59,040 --> 00:45:02,120 Speaker 1: coming out in November. It's called Do Aliens Speak Physics. 903 00:45:02,560 --> 00:45:03,799 Speaker 1: I'm really excited about it. 904 00:45:03,840 --> 00:45:04,919 Speaker 2: Two sums way up. 905 00:45:05,160 --> 00:45:10,400 Speaker 1: My personal suspicion is that particle physicists are too up 906 00:45:10,480 --> 00:45:12,919 Speaker 1: in their own heads and they think that the whole 907 00:45:13,040 --> 00:45:17,279 Speaker 1: universe uses their mathematical description of how things work. And 908 00:45:17,320 --> 00:45:20,640 Speaker 1: that's just like too self centered to put ourselves at 909 00:45:20,680 --> 00:45:24,280 Speaker 1: the heart of the understanding of the universe. And likely 910 00:45:24,360 --> 00:45:27,200 Speaker 1: there's a bunch of arbitrary assumptions we've made, and probably 911 00:45:27,280 --> 00:45:30,600 Speaker 1: aliens have a completely different description of how the universe works, 912 00:45:30,840 --> 00:45:33,720 Speaker 1: and they're like, what, why are we even using quantum fields? 913 00:45:33,760 --> 00:45:36,520 Speaker 1: That makes no sense. Here's a much simpler way. But 914 00:45:36,920 --> 00:45:39,560 Speaker 1: if they are using quantum fields, then I think this 915 00:45:39,600 --> 00:45:41,520 Speaker 1: is an inevitable discovery. 916 00:45:41,000 --> 00:45:41,480 Speaker 3: They would make. 917 00:45:41,480 --> 00:45:43,680 Speaker 1: And they might have even found other ways, like there 918 00:45:43,719 --> 00:45:46,880 Speaker 1: might be four, seventeen or ninety two different kinds of 919 00:45:46,880 --> 00:45:49,680 Speaker 1: particles and they're like, what y'all have only found three? 920 00:45:49,840 --> 00:45:51,960 Speaker 1: Come back to us. You can join the cosmic society 921 00:45:51,960 --> 00:45:52,759 Speaker 1: when you're up to ten. 922 00:45:53,000 --> 00:45:58,040 Speaker 2: When you found particles, Then if they talk to us exactly. 923 00:45:59,000 --> 00:46:01,760 Speaker 1: Yeah, and maybe they'll listen this podcast and ooh, particles 924 00:46:01,760 --> 00:46:02,360 Speaker 1: and parasites. 925 00:46:02,360 --> 00:46:03,759 Speaker 3: Maybe these guys are on the right track. 926 00:46:03,920 --> 00:46:06,840 Speaker 2: Oh my gosh. Yeah, at least they'll think that we're interesting. 927 00:46:07,480 --> 00:46:10,160 Speaker 1: Aliens, if you are listening, please don't zap ups from 928 00:46:10,160 --> 00:46:10,720 Speaker 1: outer space. 929 00:46:10,840 --> 00:46:12,920 Speaker 2: Come talk to us, tell us about your secrets, and 930 00:46:12,920 --> 00:46:15,480 Speaker 2: tell us about your parasites, but keep it to yourselves, 931 00:46:17,719 --> 00:46:18,080 Speaker 2: all right. 932 00:46:18,120 --> 00:46:20,799 Speaker 1: Thanks everyone for going on this journey with us into 933 00:46:20,800 --> 00:46:23,200 Speaker 1: the heart of particle physics, how it works, what we know, 934 00:46:23,280 --> 00:46:26,040 Speaker 1: what we don't know, and the hints that mathematics is 935 00:46:26,040 --> 00:46:28,880 Speaker 1: giving us about what we might learn about the fundamental 936 00:46:28,960 --> 00:46:33,000 Speaker 1: nature of space and time and matter and energy and aliens. 937 00:46:33,320 --> 00:46:43,400 Speaker 2: See y'all next time. Daniel and Kelly's Extraordinary Universe is 938 00:46:43,440 --> 00:46:46,480 Speaker 2: produced by iHeartRadio. We would love to hear from you, 939 00:46:46,719 --> 00:46:47,800 Speaker 2: We really would. 940 00:46:47,880 --> 00:46:50,640 Speaker 1: We want to know what questions you have about this 941 00:46:50,840 --> 00:46:52,480 Speaker 1: Extraordinary Universe. 942 00:46:52,600 --> 00:46:55,520 Speaker 2: We want to know your thoughts on recent shows, suggestions 943 00:46:55,560 --> 00:46:58,560 Speaker 2: for future shows. If you contact us, we will get 944 00:46:58,600 --> 00:46:59,000 Speaker 2: back to you. 945 00:46:59,239 --> 00:47:03,000 Speaker 1: We really mean we answer every message. Email us at 946 00:47:03,080 --> 00:47:05,960 Speaker 1: questions at Danielankelly. 947 00:47:05,080 --> 00:47:07,160 Speaker 2: Dot org, or you can find us on social media. 948 00:47:07,280 --> 00:47:11,080 Speaker 2: We have accounts on x, Instagram, Blue Sky, and on 949 00:47:11,160 --> 00:47:13,120 Speaker 2: all of those platforms. You can find us at D 950 00:47:13,560 --> 00:47:15,040 Speaker 2: and K Universe. 951 00:47:15,280 --> 00:47:16,839 Speaker 3: Don't be shy, write to us,