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California 34 00:01:43,240 --> 00:01:45,520 Speaker 3: from the California Office of Traffic Safety and Caltrans. 35 00:01:54,080 --> 00:01:57,160 Speaker 1: Hey, Jory, if you could only eat one flavor of 36 00:01:57,200 --> 00:02:00,840 Speaker 1: ice cream for the rest of your life, be chocolate 37 00:02:01,120 --> 00:02:01,760 Speaker 1: or vanilla? 38 00:02:02,000 --> 00:02:04,600 Speaker 4: Ooh do I have to choose? Can I do like 39 00:02:04,640 --> 00:02:07,040 Speaker 4: a quantum superposition of the tooth flavors? 40 00:02:07,160 --> 00:02:10,000 Speaker 1: No, you are not a quantum hoohe, So you can 41 00:02:10,120 --> 00:02:13,000 Speaker 1: only be in vanilla or chocolate. States. 42 00:02:13,080 --> 00:02:15,639 Speaker 4: It's a classic dilemma of classical physics. 43 00:02:15,240 --> 00:02:18,200 Speaker 1: Is it is? And so does your wave function collapse 44 00:02:18,240 --> 00:02:19,720 Speaker 1: to vanilla or chocolate? 45 00:02:19,840 --> 00:02:22,080 Speaker 4: Obviously vanilla my favorite flavor. 46 00:02:22,440 --> 00:02:24,720 Speaker 1: Are you telling me for real you'd give up chocolate 47 00:02:24,720 --> 00:02:26,079 Speaker 1: ice cream forever? 48 00:02:26,400 --> 00:02:28,760 Speaker 4: What if I break the loss of physics? Can I 49 00:02:28,840 --> 00:02:30,040 Speaker 4: do something like a swirl? 50 00:02:30,160 --> 00:02:31,760 Speaker 1: Then you go to physics jail whether they don't have 51 00:02:31,800 --> 00:02:33,080 Speaker 1: either flavor of ice cream? 52 00:02:33,200 --> 00:02:36,560 Speaker 4: They have swirls in physics jail, not even for my 53 00:02:36,639 --> 00:02:37,120 Speaker 4: last meal. 54 00:02:37,200 --> 00:02:39,760 Speaker 1: All they have in physics jail is physics homework problems. 55 00:02:39,800 --> 00:02:42,520 Speaker 4: That seems a little inhumane, the ice cream part, not 56 00:02:42,560 --> 00:02:59,799 Speaker 4: the homework part. I am hore Ham, a cartoonist and 57 00:03:00,080 --> 00:03:01,480 Speaker 4: creator of PhD comics. 58 00:03:01,840 --> 00:03:04,639 Speaker 1: I'm Daniel. I'm a particle physicist and a professor at 59 00:03:04,720 --> 00:03:07,960 Speaker 1: UC Irvine, and I choose the chocolate ice cream in 60 00:03:08,200 --> 00:03:10,560 Speaker 1: one hundred out of one hundred multiverses. 61 00:03:12,320 --> 00:03:13,840 Speaker 4: Big fan of chocolate, Huh. 62 00:03:13,600 --> 00:03:16,560 Speaker 1: There's just no comparison. I mean, chocolate is delicious, but 63 00:03:16,639 --> 00:03:19,799 Speaker 1: chocolate ice cream, it just elevates it beyond understanding. 64 00:03:20,120 --> 00:03:22,040 Speaker 4: Now, I think, I guess My question is when you 65 00:03:22,040 --> 00:03:23,880 Speaker 4: say chocolate iking for the rest of your life, do 66 00:03:23,880 --> 00:03:26,680 Speaker 4: you mean like you only get to eat chocolate ice 67 00:03:26,680 --> 00:03:30,240 Speaker 4: cream for all your meals or is this like only 68 00:03:30,280 --> 00:03:30,840 Speaker 4: for desserts. 69 00:03:30,880 --> 00:03:33,080 Speaker 1: Sometimes I think even I would get tired of chocolate 70 00:03:33,120 --> 00:03:36,360 Speaker 1: ice cream if I ate nothing but that breakfast, lunch, 71 00:03:36,600 --> 00:03:39,280 Speaker 1: and dinner, eventually it would get Although you know this 72 00:03:39,440 --> 00:03:42,080 Speaker 1: milk chocolate ice cream is dark chocolate ice cream. There's 73 00:03:42,200 --> 00:03:44,600 Speaker 1: chocolate and salt. There are lots of variations there. 74 00:03:44,600 --> 00:03:46,760 Speaker 4: But that's what I was going to ask, like what 75 00:03:46,880 --> 00:03:49,440 Speaker 4: kind of chocolate. There's so many the flavors to choose from. 76 00:03:49,520 --> 00:03:51,800 Speaker 1: Yeah, and chocolate from all around the world. You know 77 00:03:51,840 --> 00:03:55,080 Speaker 1: Madagascar chocolate, and then it's whale and chocolate. They're all 78 00:03:55,120 --> 00:03:56,000 Speaker 1: subtly different. 79 00:03:56,160 --> 00:03:59,080 Speaker 4: And it was your stand on like chips like chunks 80 00:03:59,120 --> 00:04:00,000 Speaker 4: of chocolate in your eyes. 81 00:04:00,440 --> 00:04:02,960 Speaker 1: Honestly, I think that ruins the texture. You know, a 82 00:04:03,000 --> 00:04:05,520 Speaker 1: frozen blob. It's like chewing on a pebble, Like nobody 83 00:04:05,520 --> 00:04:06,160 Speaker 1: wants to eat. 84 00:04:06,080 --> 00:04:09,880 Speaker 4: Rocks, right right right, So you're you're against some chocolate 85 00:04:09,960 --> 00:04:10,360 Speaker 4: ice cream. 86 00:04:10,400 --> 00:04:14,360 Speaker 1: I'm saying chocolate chunks ruined the chocolate ice cream experience. 87 00:04:14,600 --> 00:04:16,560 Speaker 1: Let's just have pure ice cream and not chunks. 88 00:04:16,640 --> 00:04:18,760 Speaker 4: But then now you got to define a size limit, 89 00:04:18,839 --> 00:04:22,040 Speaker 4: like what size limit of chocolate particle? Are you willing 90 00:04:22,080 --> 00:04:22,640 Speaker 4: to tolerate? 91 00:04:23,839 --> 00:04:27,560 Speaker 1: Chocolate? Ice cream is fundamental, man, It's not composite. It's 92 00:04:27,600 --> 00:04:30,479 Speaker 1: so important to the universe. There's a chocolate ice cream 93 00:04:30,520 --> 00:04:33,160 Speaker 1: field that permeates the whole universe. 94 00:04:33,320 --> 00:04:35,279 Speaker 4: Icee, I see, But I mean, I'm sure there's this 95 00:04:35,440 --> 00:04:38,640 Speaker 4: sizet of chocolate particle that would you fly under your radar? 96 00:04:38,800 --> 00:04:41,000 Speaker 1: Yeah, you know, I think this calls for more experiments, 97 00:04:41,080 --> 00:04:44,080 Speaker 1: for sure. And I actually did a little Twitter experiment myself. 98 00:04:44,200 --> 00:04:47,440 Speaker 1: I was wondering if our supporters sided with the obviously 99 00:04:47,440 --> 00:04:50,760 Speaker 1: correct me on the chocolate camp or the obviously incorrect 100 00:04:50,800 --> 00:04:53,280 Speaker 1: you on the vanilla camp. So I went out into 101 00:04:53,279 --> 00:04:56,200 Speaker 1: a little pole to ask people chocolate versus vanilla? 102 00:04:56,360 --> 00:04:57,880 Speaker 4: But did you say chocolate vanilla? What? 103 00:04:58,080 --> 00:05:01,599 Speaker 1: I didn't? I just said chocolate versus vanilla? Important science question. 104 00:05:02,560 --> 00:05:06,160 Speaker 4: Yeah, sounds like an ill designed experiment. I would expect 105 00:05:06,160 --> 00:05:07,080 Speaker 4: more from a scientist. 106 00:05:07,279 --> 00:05:09,040 Speaker 1: Well, I didn't want to be over specific. I wanted 107 00:05:09,080 --> 00:05:12,640 Speaker 1: to sample, you know, people's general vibe about these flavors. 108 00:05:12,640 --> 00:05:14,040 Speaker 4: The word chocolate and vanilla. 109 00:05:14,560 --> 00:05:16,960 Speaker 1: Yeah, exactly. It wasn't a question of like which one 110 00:05:17,000 --> 00:05:20,680 Speaker 1: you prefer to spell, obviously, It's about the flavor and anyway, 111 00:05:21,120 --> 00:05:23,960 Speaker 1: the Internet came down on my side, Chocolate fifty eight 112 00:05:24,000 --> 00:05:26,280 Speaker 1: percent to vanilla forty two percent. 113 00:05:26,520 --> 00:05:29,359 Speaker 4: Wow, that's that's relatively close. I would say, don't you 114 00:05:29,400 --> 00:05:31,520 Speaker 4: think I actually was surprised. I thought chocolate was going 115 00:05:31,600 --> 00:05:33,480 Speaker 4: to blow vanilla out of the water a little bit more. 116 00:05:33,520 --> 00:05:34,760 Speaker 4: Here you go, there you go. 117 00:05:34,839 --> 00:05:36,919 Speaker 1: Hey, you know I'll take a twenty point differential. 118 00:05:37,720 --> 00:05:39,960 Speaker 4: Well, we all know that whatever the internet thinks is 119 00:05:40,000 --> 00:05:41,919 Speaker 4: the best choice for anything. 120 00:05:42,160 --> 00:05:45,400 Speaker 1: Well, I would say whatever our listeners thing is definitely 121 00:05:45,640 --> 00:05:47,320 Speaker 1: you know, sampling the truth of the universe. 122 00:05:47,560 --> 00:05:49,720 Speaker 4: I see, did you have everyone sign a little like 123 00:05:49,800 --> 00:05:53,280 Speaker 4: waiver to testify that their listeners? This is getting more 124 00:05:53,320 --> 00:05:54,880 Speaker 4: unscientific by the moment, by the way. 125 00:05:54,960 --> 00:05:56,880 Speaker 1: They all follow us on Twitter. Why would somebody follow 126 00:05:56,920 --> 00:05:59,279 Speaker 1: us on Twitter and not listen to the podcast? That 127 00:05:59,440 --> 00:05:59,800 Speaker 1: just makes me. 128 00:05:59,760 --> 00:06:03,920 Speaker 4: Nose exactly if they're already listening to us in our podcast, 129 00:06:03,960 --> 00:06:04,920 Speaker 4: why would they follow us. 130 00:06:04,880 --> 00:06:08,599 Speaker 1: On Twitter for important science questions like chocolate versus vanilla? 131 00:06:08,760 --> 00:06:10,760 Speaker 1: The chance to weigh in on the ultimate debate in 132 00:06:10,800 --> 00:06:11,320 Speaker 1: the universe. 133 00:06:11,400 --> 00:06:13,400 Speaker 4: Well, I guess if you'd like to go with the majority, 134 00:06:13,680 --> 00:06:16,599 Speaker 4: you know, the mainstream, I guess that's your thing. 135 00:06:16,640 --> 00:06:18,720 Speaker 1: Right, Vanilla is definitely not the boring middle of the 136 00:06:18,800 --> 00:06:19,359 Speaker 1: road choice. 137 00:06:19,400 --> 00:06:19,680 Speaker 4: For sure. 138 00:06:19,800 --> 00:06:21,760 Speaker 1: Vanilla is the rebel choice. 139 00:06:22,080 --> 00:06:26,080 Speaker 4: Yeah, it's the in the minority choice. But anyways, welcome 140 00:06:26,080 --> 00:06:28,880 Speaker 4: to our podcast Daniel and Jore Explain the Universe, a 141 00:06:28,960 --> 00:06:31,000 Speaker 4: production of iHeartRadio. 142 00:06:30,400 --> 00:06:33,520 Speaker 1: In which we appreciate all of the flavors of the universe, 143 00:06:33,800 --> 00:06:36,839 Speaker 1: the quantum, the classical, the things that make sense, the 144 00:06:36,920 --> 00:06:39,520 Speaker 1: things that don't make sense. We blend them all together 145 00:06:39,680 --> 00:06:42,920 Speaker 1: into chunks so tiny and so smooth that you can 146 00:06:42,960 --> 00:06:46,760 Speaker 1: appreciate them without having to chew on any intellectual pebbles. 147 00:06:46,839 --> 00:06:49,400 Speaker 4: That's right, because it is a delicious universe, full of 148 00:06:49,440 --> 00:06:53,160 Speaker 4: amazing textures and flavors and temperatures of treats. And so 149 00:06:53,200 --> 00:06:54,720 Speaker 4: there's a lot to talk about and a lot to 150 00:06:54,839 --> 00:06:56,000 Speaker 4: try to explain to everyone. 151 00:06:56,120 --> 00:06:58,680 Speaker 1: And there's a wonderful and long history of trying to 152 00:06:58,800 --> 00:07:01,720 Speaker 1: understand the universe, of looking at the stuff around us, 153 00:07:01,760 --> 00:07:04,760 Speaker 1: seeing if it makes sense, breaking into smaller pieces and 154 00:07:04,800 --> 00:07:08,080 Speaker 1: seeing those pieces make sense, digging in even deeper to 155 00:07:08,200 --> 00:07:11,960 Speaker 1: smaller and smaller pieces, until eventually we get to stuff 156 00:07:12,000 --> 00:07:15,880 Speaker 1: that seems to follow weird and different rules, rules that 157 00:07:15,960 --> 00:07:17,520 Speaker 1: surprise and confuse us. 158 00:07:17,600 --> 00:07:20,480 Speaker 4: The universe is full of rules, interesting rules that are 159 00:07:20,560 --> 00:07:24,840 Speaker 4: sometimes helpful, like Newton's laws or general relativity by Einstein. 160 00:07:24,920 --> 00:07:26,960 Speaker 4: But sometimes there are rules that kind of doesn't quite 161 00:07:27,120 --> 00:07:29,480 Speaker 4: make a lot of sense, at least to a human. 162 00:07:29,280 --> 00:07:32,760 Speaker 1: Because our tendency is to think about things in terms 163 00:07:32,760 --> 00:07:35,440 Speaker 1: of the things we know. When we discover a new object, 164 00:07:35,480 --> 00:07:37,160 Speaker 1: we think, Oh, maybe it's a little bit like a 165 00:07:37,200 --> 00:07:39,080 Speaker 1: grain of sand, or maybe it's a little bit like 166 00:07:39,080 --> 00:07:41,760 Speaker 1: a basketball. Can I apply the rules of waves to 167 00:07:41,840 --> 00:07:44,400 Speaker 1: this thing? Can I apply what I know about bananas 168 00:07:44,440 --> 00:07:47,800 Speaker 1: to this new discovery? So when we unearth quantum particles, 169 00:07:47,800 --> 00:07:49,840 Speaker 1: our first guess is to think, oh, these are like 170 00:07:49,880 --> 00:07:53,280 Speaker 1: tiny little dots that follow the rules of classical physics. 171 00:07:53,320 --> 00:07:55,800 Speaker 1: Maybe they move through space, they have velocity and position, 172 00:07:56,000 --> 00:07:59,200 Speaker 1: they're just super duper tiny. But what we've discovered is 173 00:07:59,200 --> 00:08:02,239 Speaker 1: that they are not like anything we have ever seen before. 174 00:08:02,320 --> 00:08:05,760 Speaker 1: They're not tiny little dots of sand, just like baseballs, 175 00:08:05,760 --> 00:08:08,720 Speaker 1: but much much smaller. They're not even just like waves. 176 00:08:09,000 --> 00:08:12,040 Speaker 1: There's something else, something weird, that follows a new set 177 00:08:12,080 --> 00:08:14,720 Speaker 1: of rules that we have to discover and savor. 178 00:08:14,840 --> 00:08:16,800 Speaker 4: Yeah. I feel like whenever we start to talk about 179 00:08:16,840 --> 00:08:19,440 Speaker 4: things that don't make sense, it probably means that we're 180 00:08:19,440 --> 00:08:22,480 Speaker 4: going to the quantum realm and we're going to talk 181 00:08:22,520 --> 00:08:23,400 Speaker 4: about quantum things. 182 00:08:23,440 --> 00:08:26,040 Speaker 1: Yeah, but this is our experience every time we extrapolate 183 00:08:26,120 --> 00:08:29,559 Speaker 1: from our intuitive experience, from our understanding of the world 184 00:08:29,600 --> 00:08:32,160 Speaker 1: around us, not just the tiny and the quantum, but 185 00:08:32,200 --> 00:08:35,160 Speaker 1: also the very very big. Right, thinking about the universe 186 00:08:35,160 --> 00:08:37,720 Speaker 1: as a whole, and maybe having an edge or having 187 00:08:37,720 --> 00:08:41,160 Speaker 1: a beginning, all those things defy our understanding because they're 188 00:08:41,200 --> 00:08:43,400 Speaker 1: not part of our experience, so we don't have like 189 00:08:43,400 --> 00:08:47,760 Speaker 1: a natural vocabulary a way of thinking about them that's comfortable. Instead, 190 00:08:47,800 --> 00:08:50,680 Speaker 1: we have to rely on mathematics to bridge us into 191 00:08:50,720 --> 00:08:53,720 Speaker 1: a new language, a new way of thinking about the world. 192 00:08:53,880 --> 00:08:55,240 Speaker 4: Yeah, but I guess it's part of that is I 193 00:08:55,280 --> 00:08:57,920 Speaker 4: wonder if it's just like the context in which we 194 00:08:58,120 --> 00:09:00,800 Speaker 4: came up in as a species, like our size, that 195 00:09:00,840 --> 00:09:03,760 Speaker 4: we just happened to evolve into, Like if we were 196 00:09:03,960 --> 00:09:07,400 Speaker 4: much much tinier as a living thing, you know, maybe 197 00:09:07,440 --> 00:09:10,800 Speaker 4: the quantum rules of the universe would make more sense 198 00:09:10,840 --> 00:09:12,960 Speaker 4: than the classical rules of the universe. 199 00:09:13,080 --> 00:09:15,520 Speaker 1: I think that's probably true, And one day we might 200 00:09:15,559 --> 00:09:19,839 Speaker 1: meet like microscopic aliens whose scientists of all finding quantum 201 00:09:19,840 --> 00:09:22,880 Speaker 1: mechanics to be totally intuitive and classical physics to be 202 00:09:23,120 --> 00:09:26,080 Speaker 1: very very weird. Of course, they wouldn't call it classical physics. 203 00:09:26,120 --> 00:09:29,200 Speaker 1: They would call it like, you know, huge physics or something. 204 00:09:29,400 --> 00:09:31,440 Speaker 1: They would think it's very strange that if you take 205 00:09:31,600 --> 00:09:34,719 Speaker 1: ten to the twenty nine quantum particles, they somehow come 206 00:09:34,760 --> 00:09:37,000 Speaker 1: together to act like one big particle. 207 00:09:37,559 --> 00:09:40,040 Speaker 4: That's an interesting question. I wonder, like, what's the smallest 208 00:09:40,600 --> 00:09:43,319 Speaker 4: living sentient thing you can have? Like can you make 209 00:09:43,559 --> 00:09:46,760 Speaker 4: a being out of straight up a few quarks, you 210 00:09:46,840 --> 00:09:48,920 Speaker 4: know what I mean? Or the strings inside of quarks. 211 00:09:48,920 --> 00:09:52,319 Speaker 1: It's a really fun question. And Max Tegmark, who's a 212 00:09:52,320 --> 00:09:55,920 Speaker 1: physicist in MIT, has this really fun paper about where 213 00:09:56,080 --> 00:09:58,680 Speaker 1: consciousness comes from, and he thinks it's actually a state 214 00:09:58,800 --> 00:10:00,720 Speaker 1: of matter. We're going to dig into it in a 215 00:10:00,760 --> 00:10:03,680 Speaker 1: future podcast episode. But it might be that everything in 216 00:10:03,720 --> 00:10:07,160 Speaker 1: the universe is aware and that even small combinations of 217 00:10:07,200 --> 00:10:11,679 Speaker 1: objects can somehow do calculations and maybe even be conscious. 218 00:10:11,960 --> 00:10:16,000 Speaker 4: Dude, they have to smoke some special things in order 219 00:10:16,080 --> 00:10:17,240 Speaker 4: to get into that topic. 220 00:10:17,720 --> 00:10:19,239 Speaker 1: Banan appeals, for sure. 221 00:10:19,240 --> 00:10:23,000 Speaker 4: Well, the quantum universe is full of interesting and weird rules, 222 00:10:23,000 --> 00:10:25,400 Speaker 4: sometimes rules that don't seem to make sense, or that 223 00:10:25,520 --> 00:10:26,959 Speaker 4: even seem kind of fair. 224 00:10:26,800 --> 00:10:29,840 Speaker 1: And as we explore the quantum universe, we discover these rules. 225 00:10:29,880 --> 00:10:31,959 Speaker 1: A lot of the time these rules are just descriptive. 226 00:10:32,000 --> 00:10:35,120 Speaker 1: They just describe what we see. They don't always fundamentally 227 00:10:35,200 --> 00:10:38,280 Speaker 1: explain it. But sometimes we can actually find a reason 228 00:10:38,360 --> 00:10:40,320 Speaker 1: for it. So that's sort of the strategy is like, 229 00:10:40,440 --> 00:10:42,640 Speaker 1: look out in the universe, see what's going on, see 230 00:10:42,640 --> 00:10:45,439 Speaker 1: what's not going on, so we can understand what the 231 00:10:45,520 --> 00:10:47,760 Speaker 1: dos and don'ts of are the particle world, and then 232 00:10:47,760 --> 00:10:50,680 Speaker 1: try to extract from that some fundamental reason why the 233 00:10:50,760 --> 00:10:53,520 Speaker 1: universe is this way and not some other way. 234 00:10:53,720 --> 00:10:55,920 Speaker 4: So to the other podcast, we'll be tackling the question 235 00:11:01,120 --> 00:11:05,959 Speaker 4: why can't two fermions be in the same quantum state. Now, 236 00:11:06,000 --> 00:11:07,800 Speaker 4: first of all, Daniel, let me just say that I'm 237 00:11:07,800 --> 00:11:10,640 Speaker 4: glad you're on board with the phrase the quantum realm. 238 00:11:10,679 --> 00:11:13,440 Speaker 4: Have you sold out to the Marvel corporate machine yet? 239 00:11:13,679 --> 00:11:16,320 Speaker 1: Chiching, No, it's true. I have the new ant Man 240 00:11:16,360 --> 00:11:18,160 Speaker 1: movie on the brain. Can't wait to see it. 241 00:11:18,240 --> 00:11:21,160 Speaker 4: Oh really, you're excited even though they're jumping into the 242 00:11:21,200 --> 00:11:23,760 Speaker 4: quantum realm and finding all kinds of things inside of it. 243 00:11:24,360 --> 00:11:26,560 Speaker 1: Yeah. Absolutely, I like those movies. I mean they are 244 00:11:26,679 --> 00:11:30,000 Speaker 1: scientifically mostly nonsense, but they also don't take themselves too 245 00:11:30,040 --> 00:11:32,720 Speaker 1: seriously and they have fun with it, and I think 246 00:11:32,760 --> 00:11:36,040 Speaker 1: they're really creative. The first couple had some really beautiful 247 00:11:36,160 --> 00:11:38,720 Speaker 1: visuals of like what the quantum realm might look like, 248 00:11:38,960 --> 00:11:41,280 Speaker 1: what it might be like to visit the quantum realm. 249 00:11:41,600 --> 00:11:42,720 Speaker 1: So I think they're a lot of fun. 250 00:11:42,840 --> 00:11:44,720 Speaker 4: Oh wow, I feel like you are getting paid by 251 00:11:44,760 --> 00:11:45,480 Speaker 4: Marvel Radio. 252 00:11:46,640 --> 00:11:48,960 Speaker 1: You're like, is this the Daniel? I know what I 253 00:11:49,040 --> 00:11:50,720 Speaker 1: know science. 254 00:11:51,080 --> 00:11:53,600 Speaker 4: You like the random use of the word quantum. 255 00:11:53,720 --> 00:11:56,040 Speaker 1: No, I don't only like hard science fiction. I dislike 256 00:11:56,160 --> 00:11:58,600 Speaker 1: hard science fiction that gets it wrong. You know, if 257 00:11:58,640 --> 00:12:00,760 Speaker 1: you want to pretend to be serious about your science 258 00:12:00,960 --> 00:12:02,600 Speaker 1: and then you get it wrong, then you get the 259 00:12:02,640 --> 00:12:04,120 Speaker 1: merits from me. But if you're going to make fun 260 00:12:04,160 --> 00:12:05,880 Speaker 1: of yourself along the way and just have a good time, 261 00:12:06,160 --> 00:12:07,319 Speaker 1: then let's go for it. 262 00:12:07,520 --> 00:12:09,760 Speaker 4: Well, in this case, we're asking a kind of an 263 00:12:09,800 --> 00:12:13,160 Speaker 4: interesting question here about the quantum nature of things, that 264 00:12:13,200 --> 00:12:16,760 Speaker 4: why can't two fermions be in the same quantum state? Now, 265 00:12:16,800 --> 00:12:19,040 Speaker 4: I imagine this is maybe not a question most people 266 00:12:19,640 --> 00:12:20,520 Speaker 4: have thought about before. 267 00:12:20,640 --> 00:12:23,760 Speaker 1: This is something people run into in high school chemistry 268 00:12:23,760 --> 00:12:26,920 Speaker 1: when they're like learning about electrons and electron orbitals. But 269 00:12:27,000 --> 00:12:30,840 Speaker 1: it's a really deep and important concept in particle physics 270 00:12:30,880 --> 00:12:33,600 Speaker 1: theory that relates to like how particles operate, what it 271 00:12:33,600 --> 00:12:36,160 Speaker 1: means for particles to be identical, what it means to 272 00:12:36,240 --> 00:12:39,480 Speaker 1: like swap particles from one state to another. Turns out 273 00:12:39,480 --> 00:12:42,880 Speaker 1: to be a really deep and important concept in particle physics, 274 00:12:42,880 --> 00:12:45,079 Speaker 1: and something a couple of listeners wanted to know more about. 275 00:12:45,080 --> 00:12:47,760 Speaker 1: How does it actually work and why does it happen. 276 00:12:47,880 --> 00:12:50,000 Speaker 4: Maybe it'll be the plot of the next ant Men movie. 277 00:12:50,040 --> 00:12:51,760 Speaker 1: You can't have two ant Men in the same place 278 00:12:51,800 --> 00:12:52,480 Speaker 1: at the same time. 279 00:12:52,920 --> 00:12:56,080 Speaker 4: Yeah, one. I think they have multiple ones in this 280 00:12:56,280 --> 00:13:00,719 Speaker 4: latest movie. So maybe the plot line is toast, or. 281 00:13:00,640 --> 00:13:02,520 Speaker 1: Maybe it just means ant Man is a boson and 282 00:13:02,559 --> 00:13:03,679 Speaker 1: not a fermion. 283 00:13:03,960 --> 00:13:06,040 Speaker 4: Or maybe he's an antiparticle. 284 00:13:10,920 --> 00:13:12,960 Speaker 1: I wasped right into that was usual. 285 00:13:13,000 --> 00:13:14,720 Speaker 4: We were wondering how many people out there had thought 286 00:13:14,760 --> 00:13:18,880 Speaker 4: about this rule that applies to fermions or electrons, and so, 287 00:13:18,960 --> 00:13:22,080 Speaker 4: as usual, Danny went out there to ask the internet, right. 288 00:13:22,200 --> 00:13:25,520 Speaker 1: That's right. Thank you very much to everybody who participates 289 00:13:25,520 --> 00:13:27,320 Speaker 1: for this segment of the podcast, and if you would 290 00:13:27,320 --> 00:13:30,800 Speaker 1: like to share your thoughts for our education and entertainment. 291 00:13:30,880 --> 00:13:33,680 Speaker 1: Please don't be shy. Write to us two questions at 292 00:13:33,760 --> 00:13:35,480 Speaker 1: Danielandjorge dot com. 293 00:13:35,520 --> 00:13:37,440 Speaker 4: So think about it for a second. Do you know 294 00:13:37,880 --> 00:13:41,839 Speaker 4: why two fermions can't be in the same quantum state. 295 00:13:42,760 --> 00:13:43,880 Speaker 4: Here's what people have to say. 296 00:13:44,160 --> 00:13:47,880 Speaker 5: I'm not sure of the terminology. I think there is 297 00:13:47,920 --> 00:13:51,800 Speaker 5: an exclusion principle something that says that they can't occupy 298 00:13:51,920 --> 00:13:54,920 Speaker 5: the same state or same space. I don't know if 299 00:13:54,920 --> 00:13:57,680 Speaker 5: it's called the Paul exclusion principle. I'm not sure. 300 00:13:58,160 --> 00:14:01,320 Speaker 6: So I think the fermions are the for scaring ones. 301 00:14:02,440 --> 00:14:05,520 Speaker 6: Why can't they be in the same quantum state? Or 302 00:14:05,600 --> 00:14:08,880 Speaker 6: maybe they're all entangled with each other and so they 303 00:14:08,880 --> 00:14:11,480 Speaker 6: all have to have like opposing states of some sort. 304 00:14:11,760 --> 00:14:15,320 Speaker 5: I am merely guessing that two fermions cannot have the 305 00:14:15,320 --> 00:14:18,800 Speaker 5: same quantum state because they have different properties. 306 00:14:19,080 --> 00:14:21,760 Speaker 3: Well, maybe because they have the same charges, and then 307 00:14:22,120 --> 00:14:26,120 Speaker 3: they need to find a more stable spot to be 308 00:14:26,240 --> 00:14:28,600 Speaker 3: related to some other opposite charge particle. 309 00:14:28,800 --> 00:14:31,360 Speaker 4: I think it's about balance to fermines cannot be in 310 00:14:31,400 --> 00:14:34,080 Speaker 4: the same quantic state for the same reason that a 311 00:14:34,120 --> 00:14:37,560 Speaker 4: magnet cannot have the same pole in both sites. 312 00:14:38,160 --> 00:14:42,600 Speaker 7: I'm a bit fuzzy on what fermions are. But if 313 00:14:42,640 --> 00:14:46,840 Speaker 7: they can't be in the same quantum state, I think 314 00:14:47,160 --> 00:14:49,360 Speaker 7: it might be to do with the fact that it's 315 00:14:49,600 --> 00:14:53,520 Speaker 7: kind of like magnets, where you need in order for 316 00:14:53,560 --> 00:14:55,760 Speaker 7: them to be magnetic, you have to have one pole 317 00:14:56,080 --> 00:14:58,640 Speaker 7: opposite to the other, something similar like that, where they 318 00:14:59,040 --> 00:15:01,280 Speaker 7: one needs to spin off, one needs to spin down. 319 00:15:01,920 --> 00:15:04,600 Speaker 4: All right, A lot of fun answers here. Nobody mentioned 320 00:15:04,800 --> 00:15:05,400 Speaker 4: Paul Rudd. 321 00:15:06,840 --> 00:15:08,960 Speaker 1: Nobody else out there is a shill for Marvel, like. 322 00:15:08,960 --> 00:15:12,120 Speaker 4: I am, hey, yeah, apparently you keep bringing it up. 323 00:15:13,680 --> 00:15:16,200 Speaker 1: You rather, Paul Rudd, I want in. 324 00:15:16,200 --> 00:15:18,320 Speaker 4: On this, By the way, if you have a hookup 325 00:15:18,440 --> 00:15:20,280 Speaker 4: with Marvel, I'm totally in. 326 00:15:20,480 --> 00:15:22,880 Speaker 1: All right, sounds good. No, these answers are pretty good. 327 00:15:22,960 --> 00:15:24,600 Speaker 1: They're sort of all over the place. I was a 328 00:15:24,600 --> 00:15:27,200 Speaker 1: little surprised. I thought we'd hear more mentions of the 329 00:15:27,200 --> 00:15:30,480 Speaker 1: poly exclusion principle. More people need to take or remember 330 00:15:30,520 --> 00:15:31,600 Speaker 1: their high school chemistry. 331 00:15:32,000 --> 00:15:34,200 Speaker 4: You mean you were expecting more people to mention the 332 00:15:34,240 --> 00:15:35,440 Speaker 4: poly exclusion principle. 333 00:15:35,560 --> 00:15:38,440 Speaker 1: Yeah, absolutely, I thought it was something people knew pretty well. 334 00:15:38,480 --> 00:15:41,560 Speaker 1: I mean, I remember suffering through it in high school chemistry. 335 00:15:41,760 --> 00:15:43,320 Speaker 1: I imagine a lot of other people have. 336 00:15:43,600 --> 00:15:46,360 Speaker 4: Well, let's step into it, Daniel. What is the paly 337 00:15:46,520 --> 00:15:49,720 Speaker 4: exclusion principle and how does it apply to quantum states 338 00:15:49,760 --> 00:15:50,600 Speaker 4: and fermions. 339 00:15:50,680 --> 00:15:53,840 Speaker 1: So the poly exclusion principle basically just says that you 340 00:15:53,960 --> 00:15:57,640 Speaker 1: cannot have two fermions in the same quantum state. Right, 341 00:15:57,640 --> 00:16:00,720 Speaker 1: It's basically a statement of the problem. Worse, it references 342 00:16:00,760 --> 00:16:04,640 Speaker 1: these particles fermions, named after Enrico Fermi. But these are 343 00:16:04,640 --> 00:16:07,840 Speaker 1: the particles that make up matter. So quarks and electrons 344 00:16:08,240 --> 00:16:11,640 Speaker 1: are fermions, and this is why, for example, you can't 345 00:16:11,680 --> 00:16:15,160 Speaker 1: have two electrons in the same state around a hydrogen atom. 346 00:16:15,200 --> 00:16:17,440 Speaker 1: The poly exclusion principle forbids it. 347 00:16:18,000 --> 00:16:20,160 Speaker 4: Okay, So let me go back a little bit. So 348 00:16:20,200 --> 00:16:22,880 Speaker 4: a fermion, it's what do you call the matter particles? Right? 349 00:16:22,960 --> 00:16:25,800 Speaker 1: Yeah, we have two different kinds of particles in the 350 00:16:25,800 --> 00:16:27,840 Speaker 1: standard model. We have the particles that make up matter, 351 00:16:27,920 --> 00:16:30,720 Speaker 1: so the electron, the quarks, for example, and out of 352 00:16:30,760 --> 00:16:33,480 Speaker 1: that you can build protons and neutrons from which you 353 00:16:33,480 --> 00:16:36,520 Speaker 1: can make the nucleus. Add electrons, you get atoms. Buying 354 00:16:36,520 --> 00:16:39,640 Speaker 1: them all together you get molecules. We're basically built out 355 00:16:39,640 --> 00:16:42,760 Speaker 1: of those things. There are also other particles These are 356 00:16:42,760 --> 00:16:46,000 Speaker 1: the force particles. The particles like the photon that binds 357 00:16:46,040 --> 00:16:48,920 Speaker 1: the electron to the nucleus and the wn the z 358 00:16:49,120 --> 00:16:51,680 Speaker 1: bosons for the weak force, and the gluons for the 359 00:16:51,760 --> 00:16:55,400 Speaker 1: strong force. These particles are the force particles. There's an 360 00:16:55,440 --> 00:16:58,920 Speaker 1: interesting difference between these two kinds of particles. The first 361 00:16:58,960 --> 00:17:01,240 Speaker 1: one the fermions. You can never have two of them 362 00:17:01,240 --> 00:17:03,400 Speaker 1: in the same state. Two electrons can never be in 363 00:17:03,400 --> 00:17:06,320 Speaker 1: the same state. But the other group, the force carrying particles, 364 00:17:06,560 --> 00:17:09,440 Speaker 1: these bosons, there's no limit, Like you can have two 365 00:17:09,480 --> 00:17:12,400 Speaker 1: photons in the same state, ten photons in the same state, 366 00:17:12,560 --> 00:17:15,240 Speaker 1: a million photons all piled on top of each other. 367 00:17:15,840 --> 00:17:18,400 Speaker 1: So fermions can never be in the same state. Those 368 00:17:18,400 --> 00:17:21,280 Speaker 1: are the matter particles, and bosons can be in the 369 00:17:21,320 --> 00:17:23,440 Speaker 1: same state. That's this weird division. 370 00:17:23,920 --> 00:17:26,359 Speaker 4: Okay, Now, let's maybe defline for people what is a 371 00:17:26,480 --> 00:17:29,080 Speaker 4: quantum state, Like what does it mean to have a 372 00:17:29,119 --> 00:17:31,080 Speaker 4: state and what can those states be? 373 00:17:31,280 --> 00:17:33,600 Speaker 1: So what can quantum particles do well? They can like 374 00:17:33,760 --> 00:17:36,280 Speaker 1: be in some location. They can also have a certain 375 00:17:36,280 --> 00:17:38,960 Speaker 1: amount of energy. They can have a certain kind of spin, 376 00:17:39,240 --> 00:17:41,399 Speaker 1: like some of these particles can have spin up or 377 00:17:41,480 --> 00:17:45,640 Speaker 1: spin down or other various weird kinds of spin. So basically, 378 00:17:45,720 --> 00:17:50,000 Speaker 1: anything that describes the particle is part of its quantum state. 379 00:17:50,000 --> 00:17:53,400 Speaker 1: A quantum state is just a description of the particle. 380 00:17:53,080 --> 00:17:56,640 Speaker 4: Like I mean, like, where is it and what's it doing? Yeah, exactly, 381 00:17:56,760 --> 00:17:57,560 Speaker 4: that's what a state is. 382 00:17:57,680 --> 00:17:59,640 Speaker 1: M m. The way you might describe like a classical 383 00:17:59,680 --> 00:18:02,920 Speaker 1: object by saying where is it, how fast is it going, 384 00:18:02,960 --> 00:18:06,320 Speaker 1: what is it location in velocity, it describes the classical object. 385 00:18:06,560 --> 00:18:09,280 Speaker 1: A quantum state is just a description of the quantum particle. 386 00:18:09,440 --> 00:18:11,440 Speaker 4: Like the state of a baseball might be like it's 387 00:18:11,480 --> 00:18:14,639 Speaker 4: over here, it's moving in this direction, and it's also 388 00:18:14,760 --> 00:18:18,200 Speaker 4: spinning in place, and maybe also like its temperature. Would 389 00:18:18,240 --> 00:18:20,240 Speaker 4: that be kind of like what you need to describe 390 00:18:20,280 --> 00:18:20,760 Speaker 4: a baseball? 391 00:18:20,880 --> 00:18:23,200 Speaker 1: Mm hmm. Imagine, for example, we live in the simulation 392 00:18:23,440 --> 00:18:26,800 Speaker 1: and you are the programmer of the simulation. What details 393 00:18:26,800 --> 00:18:29,919 Speaker 1: do you need to keep track of to run your simulation. 394 00:18:30,320 --> 00:18:33,000 Speaker 1: That's the quantum state of a particle. 395 00:18:33,240 --> 00:18:35,000 Speaker 4: I see. Well, I'm not sure how many people out 396 00:18:35,040 --> 00:18:38,240 Speaker 4: there know how to program, but I think maybe it's 397 00:18:38,240 --> 00:18:41,080 Speaker 4: sort of like a list that identifies everything that we 398 00:18:41,200 --> 00:18:44,160 Speaker 4: know about a particle. That's kind of what you're saying, right, 399 00:18:44,200 --> 00:18:47,320 Speaker 4: And so for small particles, that list is not like 400 00:18:47,359 --> 00:18:49,440 Speaker 4: an infinite list, right, Like it's a list of maybe 401 00:18:49,560 --> 00:18:50,959 Speaker 4: like five things exactly. 402 00:18:51,040 --> 00:18:53,200 Speaker 1: It depends a little bit on where that particle is. 403 00:18:53,640 --> 00:18:56,560 Speaker 1: An electron in free space doesn't have energy levels the 404 00:18:56,600 --> 00:18:59,000 Speaker 1: way an electron around a hydrogen atom does. 405 00:18:59,359 --> 00:19:01,800 Speaker 4: Wait, what depends on the situation. So like, if I 406 00:19:02,000 --> 00:19:04,160 Speaker 4: just have a particle out there in space by itself, 407 00:19:04,440 --> 00:19:06,679 Speaker 4: what are its quantum state variables? 408 00:19:06,760 --> 00:19:09,480 Speaker 1: A particle just out there in space with like no potential, 409 00:19:09,560 --> 00:19:13,000 Speaker 1: no forces on anything, a free particle, then the quantum 410 00:19:13,040 --> 00:19:14,960 Speaker 1: states are just the location and the. 411 00:19:14,960 --> 00:19:17,360 Speaker 4: Energy and the energy what do you mean by energy. 412 00:19:17,119 --> 00:19:19,159 Speaker 1: Well, it's velocity, right, it's. 413 00:19:19,080 --> 00:19:21,680 Speaker 4: Kinetic energy m And it's spin as well. 414 00:19:21,760 --> 00:19:24,399 Speaker 1: Yes, absolutely, and it's spin. But remember out there in 415 00:19:24,440 --> 00:19:27,920 Speaker 1: free space, the kinetic energy can have any value. Electrons 416 00:19:28,000 --> 00:19:31,640 Speaker 1: are quantized into energy levels around a hydrogen atom because 417 00:19:31,640 --> 00:19:35,640 Speaker 1: they're confined. The quantization only comes from the confinement. Electrons 418 00:19:35,680 --> 00:19:38,320 Speaker 1: out in free space don't have like energy levels, whereas 419 00:19:38,320 --> 00:19:41,240 Speaker 1: electrons around the hydrogen atom, for example, do, So there's 420 00:19:41,240 --> 00:19:44,000 Speaker 1: an important distinction there about the quantum state of these 421 00:19:44,040 --> 00:19:46,560 Speaker 1: particles or in free space, you would just say the 422 00:19:46,680 --> 00:19:49,800 Speaker 1: energy around the hydrogenom you would say the energy. 423 00:19:49,560 --> 00:19:51,800 Speaker 4: Level, but when it's out in space you also count 424 00:19:51,880 --> 00:19:53,800 Speaker 4: like the spin of it too, Right, are there any 425 00:19:53,840 --> 00:19:56,560 Speaker 4: other quantum variables? I guess each kind of particle has 426 00:19:56,600 --> 00:19:58,520 Speaker 4: different kind of variables attached to it. 427 00:19:58,600 --> 00:20:01,359 Speaker 1: Yeah, exactly. And electrons and have two different kinds of spin, 428 00:20:01,440 --> 00:20:04,159 Speaker 1: spin up and spin down. Photons can have three different 429 00:20:04,240 --> 00:20:07,439 Speaker 1: kinds of spin. The Higgs boson doesn't have any spin 430 00:20:07,560 --> 00:20:09,399 Speaker 1: at all, So it depends a little bit on a 431 00:20:09,520 --> 00:20:11,879 Speaker 1: kind of particle and also the situation that it's in. 432 00:20:12,000 --> 00:20:14,800 Speaker 4: Okay, So now the rule here is that no two 433 00:20:14,840 --> 00:20:18,159 Speaker 4: particles can have the same quantum state. Now what does 434 00:20:18,200 --> 00:20:20,200 Speaker 4: that mean for like particles out there in the open 435 00:20:20,280 --> 00:20:24,000 Speaker 4: floating around space? Like that means that no two electrons 436 00:20:24,080 --> 00:20:26,440 Speaker 4: can be in the same spot with the same velocity 437 00:20:26,480 --> 00:20:27,200 Speaker 4: and the same spin. 438 00:20:27,400 --> 00:20:29,760 Speaker 1: So the rule is not that no two particles can 439 00:20:29,800 --> 00:20:32,120 Speaker 1: be in the same state, but no two fermions. Number. 440 00:20:32,200 --> 00:20:34,920 Speaker 1: Half of the particles we call them fermions, they can't 441 00:20:34,960 --> 00:20:37,120 Speaker 1: be in the same state. The other half we call 442 00:20:37,160 --> 00:20:39,720 Speaker 1: them bosons. They have no problem being in the same state. 443 00:20:40,119 --> 00:20:42,800 Speaker 1: So electrons and quarks, they can't pile up on top 444 00:20:42,840 --> 00:20:45,000 Speaker 1: of each other in the same state, whereas photons can. 445 00:20:45,200 --> 00:20:47,080 Speaker 1: So your question is, like, what happens out there in 446 00:20:47,119 --> 00:20:49,800 Speaker 1: empty space? Well, yeah, two electrons cannot be in the 447 00:20:49,840 --> 00:20:51,800 Speaker 1: same state, meaning they can't be in the same location 448 00:20:51,960 --> 00:20:54,600 Speaker 1: with the same spin and the same energy. That's just 449 00:20:54,680 --> 00:20:55,400 Speaker 1: not possible. 450 00:20:55,480 --> 00:20:57,800 Speaker 4: Well that's interesting, Like that just seems to be like 451 00:20:57,840 --> 00:21:01,080 Speaker 4: the rule the universe has, right, Like that's something that 452 00:21:01,160 --> 00:21:04,280 Speaker 4: you think can't happen. But I guess as anyone actually 453 00:21:04,359 --> 00:21:06,359 Speaker 4: tried to see if you can fit to electrons in 454 00:21:06,400 --> 00:21:06,960 Speaker 4: the same spot. 455 00:21:07,200 --> 00:21:10,280 Speaker 1: Oh yeah, the universe tries to do it all the time. Remember, 456 00:21:10,280 --> 00:21:13,000 Speaker 1: the universe likes to have things relax down to the 457 00:21:13,040 --> 00:21:16,080 Speaker 1: lowest energy that's really what forces are. Forces are things 458 00:21:16,119 --> 00:21:19,320 Speaker 1: that push things down to lower energy configurations. So think 459 00:21:19,320 --> 00:21:22,840 Speaker 1: about what happens when you put electrons around an atom, right, 460 00:21:22,880 --> 00:21:24,880 Speaker 1: the first one goes down to the lowest energy level, 461 00:21:24,920 --> 00:21:26,960 Speaker 1: and then the second one can't go down to the 462 00:21:26,960 --> 00:21:29,919 Speaker 1: lowest energy level because that's filled. Right, It's sort of 463 00:21:29,960 --> 00:21:32,080 Speaker 1: like play and connect. For you put one piece in, 464 00:21:32,119 --> 00:21:35,040 Speaker 1: the next one can't slot into that lowest level anymore. 465 00:21:35,160 --> 00:21:36,680 Speaker 1: It has to go to energy level two. 466 00:21:36,880 --> 00:21:39,320 Speaker 4: I guess I'm trying to understand, Like this rule on 467 00:21:39,440 --> 00:21:42,840 Speaker 4: the free space situation first, and then maybe we can 468 00:21:42,840 --> 00:21:46,639 Speaker 4: get into the going around an atom situation after that, 469 00:21:46,800 --> 00:21:50,120 Speaker 4: because like electrons, for example, don't have a volume to them, right, 470 00:21:50,200 --> 00:21:52,639 Speaker 4: they don't have a solidness to them. So technically, like 471 00:21:52,720 --> 00:21:55,680 Speaker 4: you could have an electron on top of another electron, 472 00:21:55,800 --> 00:21:58,119 Speaker 4: but you're saying the universe somehow, for some reason, doesn't 473 00:21:58,160 --> 00:21:58,359 Speaker 4: like that. 474 00:21:58,560 --> 00:22:00,560 Speaker 1: Yeah, Well, I think the free space example is a 475 00:22:00,600 --> 00:22:03,680 Speaker 1: little artificial because you bring two electrons together, they will 476 00:22:03,720 --> 00:22:05,639 Speaker 1: have a force between them. They will try to repel 477 00:22:05,680 --> 00:22:08,320 Speaker 1: each other, so they're no longer free electrons, right, So 478 00:22:08,400 --> 00:22:11,560 Speaker 1: that example is a little bit artificial. I think. You know, 479 00:22:11,600 --> 00:22:14,840 Speaker 1: out in space, the universe does try to compress electrons 480 00:22:14,920 --> 00:22:17,639 Speaker 1: down into tiny dots. We'll talk later about what happens. 481 00:22:17,640 --> 00:22:21,400 Speaker 1: For example, in white dwarfs. White dwarfs don't collapse into 482 00:22:21,440 --> 00:22:25,160 Speaker 1: black holes because the electrons resist being put on top 483 00:22:25,200 --> 00:22:27,199 Speaker 1: of each other, and the forces are strong enough to 484 00:22:27,240 --> 00:22:30,240 Speaker 1: overcome this electrostatic repulsion. But they're not strong enough to 485 00:22:30,240 --> 00:22:33,800 Speaker 1: overcome this quantum resistance to electrons being on top of 486 00:22:33,840 --> 00:22:36,200 Speaker 1: each other. But it's not exactly out in free space, 487 00:22:36,280 --> 00:22:38,520 Speaker 1: because again, you know, electrons on top of each other 488 00:22:38,520 --> 00:22:41,360 Speaker 1: there are pushing away against each other. There is potential 489 00:22:41,440 --> 00:22:42,320 Speaker 1: energy there. 490 00:22:42,160 --> 00:22:45,040 Speaker 4: I guess. I mean, then, let's talk about two electrons 491 00:22:45,080 --> 00:22:47,320 Speaker 4: out there in free space. And I know they repel 492 00:22:47,359 --> 00:22:49,920 Speaker 4: each other by the electromagnetic force because they're both the 493 00:22:49,960 --> 00:22:52,679 Speaker 4: same charge. But let's say you managed to overcome that. 494 00:22:52,760 --> 00:22:55,800 Speaker 4: You're saying, like, there's something else pushing these two electrons 495 00:22:55,840 --> 00:22:57,600 Speaker 4: from being on top of each other. 496 00:22:57,840 --> 00:23:00,480 Speaker 1: Yes, exactly. The universe will not allow you to do that, 497 00:23:00,520 --> 00:23:02,679 Speaker 1: will not allow you to put two electrons right on 498 00:23:02,720 --> 00:23:05,400 Speaker 1: top of each other because of this weird exclusion principle. 499 00:23:05,520 --> 00:23:08,760 Speaker 1: And again, two photons and no problem even two W bosons, 500 00:23:08,800 --> 00:23:11,000 Speaker 1: which do have a charge, right, so they would resist 501 00:23:11,000 --> 00:23:15,679 Speaker 1: each other. Two W bosons no problem to electrons problem. 502 00:23:15,680 --> 00:23:18,800 Speaker 4: Interesting, Okay, so you can put two photons into each other, 503 00:23:18,840 --> 00:23:21,560 Speaker 4: and you can't put two W bosons on top of 504 00:23:21,560 --> 00:23:24,680 Speaker 4: each other, even though like the W boson, they have mass, right, 505 00:23:24,720 --> 00:23:26,760 Speaker 4: So even things with substance can exist on top of 506 00:23:26,800 --> 00:23:29,800 Speaker 4: each other. But somehow electrons that's a no go. 507 00:23:30,200 --> 00:23:31,160 Speaker 1: Yeah, exactly. 508 00:23:31,400 --> 00:23:32,600 Speaker 4: And is there a reason why. 509 00:23:32,680 --> 00:23:35,560 Speaker 1: There's definitely a reason why, and it's connected to the 510 00:23:35,600 --> 00:23:39,320 Speaker 1: particle's spin. Electrons have spinned one half and photons and 511 00:23:39,440 --> 00:23:42,280 Speaker 1: ws and zs have spin one, and so there's a 512 00:23:42,320 --> 00:23:44,840 Speaker 1: fun and subtle reason for why that means they can't 513 00:23:44,840 --> 00:23:45,760 Speaker 1: be on top of each other. 514 00:23:45,800 --> 00:23:49,359 Speaker 4: All right, Well, let's spin into that answer and figure 515 00:23:49,400 --> 00:23:52,320 Speaker 4: out where exactly this rule comes from. Man, how does 516 00:23:52,320 --> 00:23:55,200 Speaker 4: it impact the rest of the universe. But first, let's 517 00:23:55,200 --> 00:23:56,159 Speaker 4: take a quick break. 518 00:24:00,480 --> 00:24:03,399 Speaker 1: With big wireless providers, what you see is never what 519 00:24:03,520 --> 00:24:06,200 Speaker 1: you get. Somewhere between the store and your first month's bill, 520 00:24:06,280 --> 00:24:09,320 Speaker 1: the price you thoughts you were paying magically skyrockets. 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Visit usdairy 586 00:27:27,240 --> 00:27:29,480 Speaker 1: dot com slash sustainability to learn more. 587 00:27:37,960 --> 00:27:41,080 Speaker 4: All right, we're talking about the intricate rules of the 588 00:27:41,200 --> 00:27:44,640 Speaker 4: quantum universe, and one of those rules is that two 589 00:27:44,760 --> 00:27:47,359 Speaker 4: fermions can't be in the same quantum state at the 590 00:27:47,359 --> 00:27:50,800 Speaker 4: same time. Somehow, the universe has a problem with two 591 00:27:51,800 --> 00:27:55,560 Speaker 4: fermions to matter particles somehow, I guess, I don't know, 592 00:27:55,600 --> 00:27:57,240 Speaker 4: being in sync, being in the same place at the 593 00:27:57,280 --> 00:27:59,280 Speaker 4: same time, and being totally identical. 594 00:27:59,400 --> 00:28:03,000 Speaker 1: Yeah exactly. It has an issue with fermions. Having essentially 595 00:28:03,040 --> 00:28:07,919 Speaker 1: the identical setup is not allowed. It's like one per slot, 596 00:28:08,040 --> 00:28:09,679 Speaker 1: you already filled your slot. You got to go to 597 00:28:09,720 --> 00:28:11,760 Speaker 1: the next slot. You got to find another way to be. 598 00:28:12,200 --> 00:28:15,280 Speaker 4: I guess for the the idea of too electrons out 599 00:28:15,280 --> 00:28:17,720 Speaker 4: in space, like, it's probably, first of all, very hard 600 00:28:17,720 --> 00:28:20,199 Speaker 4: for two electrons to be in exactly the same space, 601 00:28:20,440 --> 00:28:23,880 Speaker 4: but it seems like the universe just resists two electrons 602 00:28:23,920 --> 00:28:25,600 Speaker 4: being really close to each other. 603 00:28:25,440 --> 00:28:27,879 Speaker 1: Even Yeah, if you have some volume out there and 604 00:28:27,920 --> 00:28:31,000 Speaker 1: then a bunch of electrons, then the universe likes each 605 00:28:31,040 --> 00:28:33,560 Speaker 1: electron to be like in its own little volume, you know, 606 00:28:33,600 --> 00:28:36,239 Speaker 1: like V over N something like that, and so it 607 00:28:36,320 --> 00:28:39,520 Speaker 1: resists electrons overlapping too much. 608 00:28:39,920 --> 00:28:43,320 Speaker 4: Oh, so the rule is more like it can be 609 00:28:43,360 --> 00:28:45,760 Speaker 4: in the same state, but also like the universe doesn't 610 00:28:45,800 --> 00:28:48,320 Speaker 4: even like for the states to be close to each other. 611 00:28:48,520 --> 00:28:51,520 Speaker 1: Yeah exactly, because remember, electrons have like a wavelength, and 612 00:28:51,560 --> 00:28:54,560 Speaker 1: so as those wavelengths start to overlap, then the universe 613 00:28:54,640 --> 00:28:57,280 Speaker 1: resists it. Technically, if you keep squeezing it, lets me 614 00:28:57,280 --> 00:28:59,960 Speaker 1: get closer and closer and closer, but fundamentally it resists 615 00:29:00,040 --> 00:29:01,760 Speaker 1: I'm being right on top of each other. 616 00:29:01,920 --> 00:29:05,640 Speaker 4: Okay, so the innert has this problem for emeons apparently, 617 00:29:05,680 --> 00:29:08,800 Speaker 4: and the weight it kind of comes into effect that 618 00:29:08,840 --> 00:29:12,040 Speaker 4: affects most people is as you were saying, when electrons 619 00:29:12,800 --> 00:29:16,240 Speaker 4: start to orbit around the nuclei of atoms, right. 620 00:29:16,120 --> 00:29:18,560 Speaker 1: M hmm, exactly, and this has a huge effect on 621 00:29:18,600 --> 00:29:21,160 Speaker 1: basically all of matter. Right. It's the reason that we 622 00:29:21,200 --> 00:29:23,640 Speaker 1: have energy levels in atoms. It's the reason why we 623 00:29:23,680 --> 00:29:26,280 Speaker 1: have the periodic table. It's the reason why atoms behave 624 00:29:26,360 --> 00:29:28,680 Speaker 1: the way they do. The universe would be totally different 625 00:29:29,040 --> 00:29:31,440 Speaker 1: if electrons could all like slot down to the lowest 626 00:29:31,520 --> 00:29:34,880 Speaker 1: energy level. Now what I said earlier wasn't exactly correct. 627 00:29:34,880 --> 00:29:37,040 Speaker 1: It was one little nuance, which is you can't have 628 00:29:37,160 --> 00:29:40,640 Speaker 1: two electrons per energy level because they can have different spins. 629 00:29:40,800 --> 00:29:43,520 Speaker 1: But the electrons have to be in different states. So 630 00:29:43,560 --> 00:29:46,920 Speaker 1: you can have like one electron around hydrogenam no problem. 631 00:29:47,040 --> 00:29:49,200 Speaker 1: For helium. You have two electrons, so they can both 632 00:29:49,280 --> 00:29:51,400 Speaker 1: be in the lowest energy level, but they have to 633 00:29:51,440 --> 00:29:54,400 Speaker 1: have different spins because they can't be in the same state. 634 00:29:54,560 --> 00:29:56,840 Speaker 1: Then when you go to lithium, you have another electron. 635 00:29:56,960 --> 00:29:59,080 Speaker 1: It can't fit in the lowest energy level. There's already 636 00:29:59,080 --> 00:30:01,440 Speaker 1: two electrons in there, one spin up, one spin down. 637 00:30:01,640 --> 00:30:04,400 Speaker 1: There's no other way to separate the electrons. There's no 638 00:30:04,440 --> 00:30:07,320 Speaker 1: other label to distinguish it. So it has to go 639 00:30:07,440 --> 00:30:10,280 Speaker 1: in the next energy level, goes in the second energy level, 640 00:30:10,320 --> 00:30:13,080 Speaker 1: so that electron has more energy than the lowest level. 641 00:30:13,160 --> 00:30:15,000 Speaker 4: Well, I guess I just wonder how many people out 642 00:30:15,000 --> 00:30:17,920 Speaker 4: there are familiar with this idea of energy levels in 643 00:30:18,400 --> 00:30:23,080 Speaker 4: electrons orbiting the nuclei of atoms. Maybe can you connect 644 00:30:23,080 --> 00:30:26,760 Speaker 4: for us this idea of like, okay, two electrons out 645 00:30:26,800 --> 00:30:28,959 Speaker 4: in space can be in the same quantum state. They 646 00:30:29,000 --> 00:30:31,480 Speaker 4: can to being on top of each other. But now 647 00:30:31,840 --> 00:30:34,520 Speaker 4: you know, if they're orbiting around the nucleus of an atom, 648 00:30:34,560 --> 00:30:37,080 Speaker 4: I feel like there's a bunch of space there. Why 649 00:30:37,120 --> 00:30:40,160 Speaker 4: can't they kind of orbit at the same time. What 650 00:30:40,200 --> 00:30:41,840 Speaker 4: does this mean about the energy levels? 651 00:30:42,000 --> 00:30:44,240 Speaker 1: Well, if you have an electron and it's around a nucleus, 652 00:30:44,280 --> 00:30:47,360 Speaker 1: you've already confined it to a very small space, right, 653 00:30:47,400 --> 00:30:49,920 Speaker 1: And so in order to have two electrons basically being 654 00:30:49,960 --> 00:30:51,400 Speaker 1: on top of each other, from the point of view 655 00:30:51,400 --> 00:30:53,120 Speaker 1: of the universe, those two electrons are on top of 656 00:30:53,120 --> 00:30:55,640 Speaker 1: each other. If they're orbiting the same nucleus, they have 657 00:30:55,760 --> 00:30:58,200 Speaker 1: to have some way to distinguish between themselves so they're 658 00:30:58,240 --> 00:31:00,000 Speaker 1: not in the same state. As that means having differ 659 00:31:00,040 --> 00:31:03,800 Speaker 1: from spin or having different energy. And around an atom, 660 00:31:03,840 --> 00:31:06,280 Speaker 1: you can't just have any arbitrary energy out in a 661 00:31:06,320 --> 00:31:08,440 Speaker 1: free space. An electron can have any energy at once. 662 00:31:08,560 --> 00:31:11,440 Speaker 1: When an electron is captured by a nucleus, when it's 663 00:31:11,480 --> 00:31:14,320 Speaker 1: in some quantum state that's settled into the potential around 664 00:31:14,360 --> 00:31:17,320 Speaker 1: a nucleus, then it has certain energy levels it can 665 00:31:17,360 --> 00:31:20,120 Speaker 1: be in that quantization. The fact you have an energy 666 00:31:20,200 --> 00:31:23,560 Speaker 1: ladder rather than a full continuous spectrum comes from capturing 667 00:31:23,600 --> 00:31:27,400 Speaker 1: the electron. It's the confinement that produces those energy levels. 668 00:31:27,760 --> 00:31:29,520 Speaker 1: And so now instead of like being able to have 669 00:31:29,560 --> 00:31:32,520 Speaker 1: two electrons with slightly different energy, now the electrons have 670 00:31:32,720 --> 00:31:36,640 Speaker 1: like discrete options energy level one, energy level two, energy 671 00:31:36,680 --> 00:31:39,640 Speaker 1: level seven. You can't have energy like one point two 672 00:31:39,720 --> 00:31:42,400 Speaker 1: around the atom. It's not a solution to the Shirdinger equation, 673 00:31:42,680 --> 00:31:42,840 Speaker 1: is it. 674 00:31:42,880 --> 00:31:44,840 Speaker 4: I wonder if it's a little bit like the Earth 675 00:31:45,040 --> 00:31:47,640 Speaker 4: orbiting the Sun, like you know, if Earth is out 676 00:31:47,640 --> 00:31:49,360 Speaker 4: there in space. It can go as fast as it 677 00:31:49,400 --> 00:31:51,680 Speaker 4: wants in any direction at once. But if you're sort 678 00:31:51,720 --> 00:31:55,120 Speaker 4: of requiring the Earth to go around the Sun and 679 00:31:56,080 --> 00:31:59,000 Speaker 4: do it forever in a consistent way, there's only so 680 00:31:59,120 --> 00:32:02,080 Speaker 4: many velocity it can have, and it's only so many 681 00:32:02,160 --> 00:32:03,280 Speaker 4: energy levels it can have. 682 00:32:03,440 --> 00:32:05,800 Speaker 1: Well, but gravity isn't quantized to our knowledge that we 683 00:32:05,840 --> 00:32:08,800 Speaker 1: think maybe eventually we will quantize gravity. So the Earth 684 00:32:08,800 --> 00:32:11,600 Speaker 1: could exist at any radius around the Sun. It just 685 00:32:11,600 --> 00:32:13,960 Speaker 1: has to have the right velocity. And so there is 686 00:32:14,000 --> 00:32:17,320 Speaker 1: an infinite number of potential orbits for the Earth, whereas 687 00:32:17,360 --> 00:32:20,760 Speaker 1: for a quantum object it really is different. It's determined 688 00:32:20,760 --> 00:32:23,600 Speaker 1: by the shortening your equation, and there just are quantized 689 00:32:23,640 --> 00:32:24,560 Speaker 1: solutions to that. 690 00:32:25,280 --> 00:32:29,280 Speaker 4: Okay, so now we've applied the rule to electrons orbiting 691 00:32:29,280 --> 00:32:32,520 Speaker 4: in nuclei, and that tells you that two fermions can't 692 00:32:32,640 --> 00:32:35,520 Speaker 4: orbit at the same level unless they have a different spin. 693 00:32:36,200 --> 00:32:38,520 Speaker 4: Exactly why why is that? What does the spin do 694 00:32:38,720 --> 00:32:41,360 Speaker 4: that lets them occupy the same orbit? 695 00:32:41,520 --> 00:32:43,520 Speaker 1: So the key thing is that they have to have 696 00:32:43,720 --> 00:32:46,600 Speaker 1: different quantum states, and the spin is part of that 697 00:32:46,720 --> 00:32:49,000 Speaker 1: quantum state. It's like one of the labels. So when 698 00:32:49,040 --> 00:32:51,520 Speaker 1: you have electrons around an atom, you have four of 699 00:32:51,560 --> 00:32:54,800 Speaker 1: these labels. You have N, which tells you the energy level, 700 00:32:54,840 --> 00:32:57,280 Speaker 1: you have L which tells you like the sub level 701 00:32:57,480 --> 00:32:59,600 Speaker 1: that you're in, M, which tells you which of those 702 00:32:59,720 --> 00:33:02,040 Speaker 1: l's in. And then finally the spin And so the 703 00:33:02,080 --> 00:33:04,920 Speaker 1: spin plays two rolls. One is like, it's another quality 704 00:33:04,960 --> 00:33:07,360 Speaker 1: that the electron can have that lets it distinguish itself 705 00:33:07,400 --> 00:33:10,920 Speaker 1: from something else. But also the electron having spin one 706 00:33:10,960 --> 00:33:15,120 Speaker 1: half is the reason why electrons cannot do this. Photons 707 00:33:15,160 --> 00:33:17,400 Speaker 1: have spin one which is why they can pile on 708 00:33:17,440 --> 00:33:20,080 Speaker 1: top of each other, and electrons have spin one half, 709 00:33:20,120 --> 00:33:22,760 Speaker 1: which is why they cannot pile on top of each other. 710 00:33:23,040 --> 00:33:25,760 Speaker 1: It all comes down to these particles spin. 711 00:33:28,000 --> 00:33:30,640 Speaker 4: Well before we spin that way. I guess maybe it 712 00:33:30,720 --> 00:33:33,000 Speaker 4: tells a little bit about what would happen if we 713 00:33:33,080 --> 00:33:35,880 Speaker 4: didn't have this rule, Like if we didn't have the 714 00:33:35,920 --> 00:33:39,520 Speaker 4: poly exclusion principle, what would happen to like electron orbitals 715 00:33:39,560 --> 00:33:42,560 Speaker 4: and atoms and the things the molecules in our body. 716 00:33:42,720 --> 00:33:44,560 Speaker 1: So if we didn't have this, then electrons would all 717 00:33:44,600 --> 00:33:46,960 Speaker 1: relax down to the lowest state. They would all be 718 00:33:47,080 --> 00:33:49,800 Speaker 1: in the lowest energy level, because that's what the universe 719 00:33:49,880 --> 00:33:51,480 Speaker 1: likes to do. It likes to spread energy out. It 720 00:33:51,520 --> 00:33:54,520 Speaker 1: doesn't like to have little dense depositions of energy. So, 721 00:33:54,560 --> 00:33:57,000 Speaker 1: for example, if you zap an electron and you give 722 00:33:57,040 --> 00:33:59,560 Speaker 1: it extra energy, so it jumps up the ladder to like, 723 00:33:59,600 --> 00:34:02,000 Speaker 1: you know, energy level ten, and you just wait a 724 00:34:02,000 --> 00:34:04,400 Speaker 1: few moments, then it will radiate a way that energy 725 00:34:04,440 --> 00:34:07,160 Speaker 1: and relax back down. So everything likes to sort of 726 00:34:07,200 --> 00:34:10,120 Speaker 1: flow downhill to the lowest energy levels. And if you 727 00:34:10,200 --> 00:34:13,160 Speaker 1: didn't have the poly exclusion principle, they would all just 728 00:34:13,280 --> 00:34:15,919 Speaker 1: pile up at the lowest energy level, and that would 729 00:34:15,960 --> 00:34:19,080 Speaker 1: make a big difference. For like, the size of these atoms. 730 00:34:19,640 --> 00:34:21,839 Speaker 1: You know, the size of the atom is determined by 731 00:34:21,920 --> 00:34:24,960 Speaker 1: the electron orbitals, and they get bigger and bigger and 732 00:34:25,000 --> 00:34:28,480 Speaker 1: bigger as you get more and more electrons. Goals for example, 733 00:34:28,520 --> 00:34:31,520 Speaker 1: has like you know, dozens of electrons, and so it's 734 00:34:31,640 --> 00:34:35,759 Speaker 1: much larger than hydrogen. Hydrogen just has one electron, and 735 00:34:35,800 --> 00:34:38,040 Speaker 1: so like, the very structure of matter depends on the 736 00:34:38,080 --> 00:34:41,000 Speaker 1: volume of these atoms. If somebody like turned off the 737 00:34:41,000 --> 00:34:44,200 Speaker 1: poly exclusion principle, we would all collapse to be much much. 738 00:34:44,040 --> 00:34:47,399 Speaker 4: Smaller, you mean, we would all go into the quantit realm, Like. 739 00:34:47,680 --> 00:34:50,279 Speaker 1: Man, no, we'd all be about the size of a 740 00:34:50,360 --> 00:34:54,239 Speaker 1: chocolate chip, I think. But also it would change chemistry, right, 741 00:34:54,239 --> 00:34:57,360 Speaker 1: The way that atoms bond together depends on these orbitals, 742 00:34:57,440 --> 00:35:00,120 Speaker 1: the way that they interact, all their properties, like how 743 00:35:00,160 --> 00:35:03,480 Speaker 1: they're metallic or how they glow, the energy they can absorb. 744 00:35:03,600 --> 00:35:06,359 Speaker 1: All this stuff depends on the poly exclusion principle, And 745 00:35:06,440 --> 00:35:09,520 Speaker 1: so the whole universe would be totally different if electrons 746 00:35:09,560 --> 00:35:11,280 Speaker 1: could pile up at the lowest levels. 747 00:35:11,960 --> 00:35:13,520 Speaker 4: Okay, I think I see what you're saying. Like, if 748 00:35:13,560 --> 00:35:16,839 Speaker 4: I just have the nucleus of an atom without any electrons, 749 00:35:17,560 --> 00:35:20,440 Speaker 4: just sitting there, and I threw an electron into it, 750 00:35:20,440 --> 00:35:23,439 Speaker 4: it would kind of snap into a certain orbit or 751 00:35:23,560 --> 00:35:26,440 Speaker 4: kind of place or some sort of you know, cloud 752 00:35:26,520 --> 00:35:30,120 Speaker 4: or function around that nucleus. Now, if I threw another electron, 753 00:35:30,400 --> 00:35:33,160 Speaker 4: if it didn't have the polyexclusion principle, it would also 754 00:35:33,239 --> 00:35:36,680 Speaker 4: fall into that lowest kind of orbit. But because you 755 00:35:36,680 --> 00:35:39,719 Speaker 4: have the exclusion principle, the electron can't like get that 756 00:35:39,800 --> 00:35:42,720 Speaker 4: close to the nucleus, and so it kind of forms 757 00:35:42,760 --> 00:35:46,080 Speaker 4: another kind of orbit that is kind of maybe bigger, 758 00:35:46,160 --> 00:35:48,520 Speaker 4: you mean, maybe bigger and more fragile too. 759 00:35:48,680 --> 00:35:51,720 Speaker 1: Yeah, exactly. Then that controls the volume of the atom, 760 00:35:51,760 --> 00:35:54,600 Speaker 1: but also controls how these things operate, you know, how 761 00:35:54,600 --> 00:35:58,000 Speaker 1: they build themselves into crystals, and then how electrons can 762 00:35:58,080 --> 00:36:01,359 Speaker 1: flow through those crystals. Like why are metals conductors because 763 00:36:01,360 --> 00:36:03,920 Speaker 1: they have a bunch of electrons in this conduction band 764 00:36:04,120 --> 00:36:06,320 Speaker 1: they're forced to be up there, and they're higher energy 765 00:36:06,400 --> 00:36:11,080 Speaker 1: level bands flowing around semiconductors for the same reason. So 766 00:36:11,120 --> 00:36:14,520 Speaker 1: the reason we have all these complex structures and complex behavior, 767 00:36:14,600 --> 00:36:18,440 Speaker 1: the periodic table and all that interesting chemistry comes from 768 00:36:18,520 --> 00:36:22,960 Speaker 1: electron orbitals, which only are interesting because electrons populate them, 769 00:36:23,080 --> 00:36:25,160 Speaker 1: and they only do that because of the pal the 770 00:36:25,239 --> 00:36:27,920 Speaker 1: exclusion principle. Otherwise they would always just be in the 771 00:36:27,920 --> 00:36:28,959 Speaker 1: lowest energy level. 772 00:36:29,480 --> 00:36:31,560 Speaker 4: Interesting. Now that we know what it is, let's maybe 773 00:36:31,560 --> 00:36:34,000 Speaker 4: dig into the reason. Why Why does this have an 774 00:36:34,040 --> 00:36:37,000 Speaker 4: issue with two fermions being on top of each other, 775 00:36:37,160 --> 00:36:38,759 Speaker 4: Like it doesn't seem to have a problem with some 776 00:36:38,800 --> 00:36:41,680 Speaker 4: of the other particles like the Higgs boson, or photons 777 00:36:41,760 --> 00:36:45,440 Speaker 4: or w particles being ontop of each other. Why does 778 00:36:45,480 --> 00:36:48,480 Speaker 4: it have this bias against electrons? 779 00:36:50,120 --> 00:36:52,040 Speaker 1: Don't be so negative about it, you know, maybe you 780 00:36:52,040 --> 00:36:54,319 Speaker 1: could think about it like a special property you know, 781 00:36:54,360 --> 00:36:56,719 Speaker 1: the electrons can like stand on top of each other 782 00:36:56,920 --> 00:37:00,319 Speaker 1: to achieve things electrons could otherwise never do. Right, It's 783 00:37:00,360 --> 00:37:02,200 Speaker 1: like an ability instead of a bias. 784 00:37:02,440 --> 00:37:04,719 Speaker 4: And I feel like the word exclusion is never good. 785 00:37:05,480 --> 00:37:07,400 Speaker 1: That's true, everyone. 786 00:37:07,120 --> 00:37:08,920 Speaker 4: Should be as inclusive as possible. 787 00:37:09,000 --> 00:37:11,239 Speaker 1: Well, the issue really does have to do with the 788 00:37:11,320 --> 00:37:14,919 Speaker 1: quantum nature of these things. So fermions, electrons, and even 789 00:37:14,920 --> 00:37:17,360 Speaker 1: protons which are built out of quarks. These things have 790 00:37:17,400 --> 00:37:21,359 Speaker 1: a really weird property that we've never seen in classical physics, 791 00:37:21,600 --> 00:37:23,480 Speaker 1: and it has to do with what happens when you 792 00:37:23,600 --> 00:37:26,640 Speaker 1: swap two of them. So imagine just you have two particles, 793 00:37:26,719 --> 00:37:30,480 Speaker 1: particle one in particle two, and maybe they're in different states. 794 00:37:30,640 --> 00:37:33,680 Speaker 1: You call one state A, one state B. Doesn't really matter. Now, 795 00:37:33,719 --> 00:37:36,160 Speaker 1: imagine what happens if you swap them. Right, you take 796 00:37:36,239 --> 00:37:38,600 Speaker 1: particle one, which used to be in state A, and 797 00:37:38,640 --> 00:37:40,960 Speaker 1: I say, now you're in state B. In particle two, 798 00:37:41,000 --> 00:37:42,520 Speaker 1: which used to be in state BING, you say, now 799 00:37:42,520 --> 00:37:45,480 Speaker 1: you're in state A, all right, And so you have 800 00:37:45,520 --> 00:37:47,920 Speaker 1: two particles and you sort of swap their arrangements. The 801 00:37:48,040 --> 00:37:51,359 Speaker 1: universe says, and quantum mechanics says that when you do that, 802 00:37:51,800 --> 00:37:54,640 Speaker 1: the wave function that describes what happens and tells you 803 00:37:54,640 --> 00:37:57,440 Speaker 1: what's allowed. That wave function gets a negative sign, and 804 00:37:57,480 --> 00:38:00,480 Speaker 1: that doesn't happen for bosons. For bosons, the way function 805 00:38:00,560 --> 00:38:03,240 Speaker 1: doesn't get a negative sign, and that has really really 806 00:38:03,239 --> 00:38:04,520 Speaker 1: important consequences. 807 00:38:04,680 --> 00:38:07,480 Speaker 4: I think you're talking about like a mathematical operation, or 808 00:38:07,520 --> 00:38:10,520 Speaker 4: are you talking about like if I physically take two 809 00:38:10,520 --> 00:38:14,160 Speaker 4: particles and I swapped their states mathematically, the sign of 810 00:38:14,239 --> 00:38:17,880 Speaker 4: the whole of the two particles somehow gets a negative. 811 00:38:18,000 --> 00:38:19,600 Speaker 1: Is that kind of what you think, Yeah, we're talking 812 00:38:19,600 --> 00:38:22,160 Speaker 1: about the wave function, which is like the thing that 813 00:38:22,239 --> 00:38:25,280 Speaker 1: determines what happens. Right. Remember, you take the wave function 814 00:38:25,400 --> 00:38:27,640 Speaker 1: and you square it, and that tells you the probability 815 00:38:27,680 --> 00:38:30,600 Speaker 1: of various things happening. If you're talking about like Schrotinger's cat, 816 00:38:30,760 --> 00:38:32,719 Speaker 1: there's a wave function for it to be alive and 817 00:38:32,719 --> 00:38:34,640 Speaker 1: a wave function for it to be dead. Those are 818 00:38:34,680 --> 00:38:38,120 Speaker 1: two different possible outcomes, And the way that you discover 819 00:38:38,480 --> 00:38:40,480 Speaker 1: the probability of one versus the other is you take 820 00:38:40,520 --> 00:38:42,640 Speaker 1: the wave function for that outcome and you square it. 821 00:38:43,040 --> 00:38:43,760 Speaker 1: That's the rule. 822 00:38:43,920 --> 00:38:47,200 Speaker 4: Now, a wave function is is like a mathematical concept 823 00:38:47,320 --> 00:38:51,399 Speaker 4: or construct that describes what something is doing or going 824 00:38:51,440 --> 00:38:51,719 Speaker 4: to do. 825 00:38:51,880 --> 00:38:53,920 Speaker 1: Yeah, it's the solution to the shortening equation. 826 00:38:54,239 --> 00:38:55,000 Speaker 4: That doesn't help me. 827 00:38:55,320 --> 00:38:57,399 Speaker 1: We don't really know what the wave function is. It's 828 00:38:57,440 --> 00:39:01,759 Speaker 1: problematic philosophically, like it's a part of ourlations. We use 829 00:39:01,800 --> 00:39:04,520 Speaker 1: it to make predictions. Nobody really knows, like is the 830 00:39:04,520 --> 00:39:06,880 Speaker 1: wave function a real thing out there in the universe 831 00:39:06,960 --> 00:39:09,200 Speaker 1: or is it just sort of like something in our heads. 832 00:39:09,280 --> 00:39:12,320 Speaker 1: That's an intermediate step that we're using. But it definitely 833 00:39:12,320 --> 00:39:14,160 Speaker 1: seems to be important, and it's part of the way 834 00:39:14,200 --> 00:39:15,720 Speaker 1: we think about quantum physics. 835 00:39:15,920 --> 00:39:17,759 Speaker 4: Like maybe if you have a baseball and you're throwing 836 00:39:17,800 --> 00:39:20,960 Speaker 4: a baseball, you might describe it using a vector, like 837 00:39:21,280 --> 00:39:24,400 Speaker 4: a vector from here from the picture to the baseball 838 00:39:24,440 --> 00:39:27,319 Speaker 4: that describes the ball. Wave function is kind of like 839 00:39:27,400 --> 00:39:29,439 Speaker 4: that for quantum particles. 840 00:39:29,160 --> 00:39:31,960 Speaker 1: Right, yeah, exactly. And the wave function is weird because 841 00:39:31,960 --> 00:39:34,680 Speaker 1: it can also be negative, and it can also be 842 00:39:34,800 --> 00:39:38,839 Speaker 1: like complex, right, it can have imaginary numbers like one 843 00:39:38,880 --> 00:39:41,319 Speaker 1: plus two I. Right. The wave function is really weird. 844 00:39:41,360 --> 00:39:44,239 Speaker 1: It's not physical in that way. But the interesting thing 845 00:39:44,320 --> 00:39:46,960 Speaker 1: is that that all goes away usually when you use 846 00:39:47,000 --> 00:39:48,920 Speaker 1: the wave function to make a prediction, because you square 847 00:39:48,920 --> 00:39:50,960 Speaker 1: it and the imaginary parts go away. And the negative 848 00:39:50,960 --> 00:39:53,640 Speaker 1: signs go away. Nobody really cares about the wave function 849 00:39:53,719 --> 00:39:56,719 Speaker 1: being negative usually, but in this one particular case it 850 00:39:56,760 --> 00:39:59,760 Speaker 1: turns out to be weirdly really important because what happens 851 00:39:59,760 --> 00:40:01,840 Speaker 1: if you you have two fermions which are identical, like 852 00:40:01,880 --> 00:40:05,040 Speaker 1: two electrons, and they're in exactly the same state. Maybe 853 00:40:05,040 --> 00:40:07,000 Speaker 1: they're both around a hydrogen atom, and they're in the 854 00:40:07,000 --> 00:40:09,120 Speaker 1: same energy level and they have all the same spin. 855 00:40:09,320 --> 00:40:13,040 Speaker 1: Right now, what happens, Well, take those two particles particle one, 856 00:40:13,080 --> 00:40:16,480 Speaker 1: particle two. They're indistinguishable, right, They're in the same state, 857 00:40:16,840 --> 00:40:19,600 Speaker 1: and you swap them, right, swap them from one to 858 00:40:19,640 --> 00:40:22,120 Speaker 1: the other. Now, really that has no effect because you 859 00:40:22,120 --> 00:40:25,440 Speaker 1: had two identical particles in the same state, you swap them, 860 00:40:25,480 --> 00:40:28,439 Speaker 1: nothing should change. But the universe says if you do that, 861 00:40:28,840 --> 00:40:31,080 Speaker 1: you get a negative sign for the wave function. 862 00:40:31,280 --> 00:40:33,840 Speaker 4: You mean, swap them, like pick them up and change 863 00:40:33,840 --> 00:40:36,279 Speaker 4: their you know, like move them around, like swap their 864 00:40:36,320 --> 00:40:37,759 Speaker 4: positions or swap them. 865 00:40:37,840 --> 00:40:41,440 Speaker 1: Hypothetically, like ask what would the wave function be if 866 00:40:41,480 --> 00:40:43,680 Speaker 1: this particle was over here and that particle was over there. 867 00:40:43,800 --> 00:40:46,799 Speaker 1: Don't actually do it, you just say, like, hypothetically, what 868 00:40:46,840 --> 00:40:48,560 Speaker 1: would the wave function be if you have them in 869 00:40:48,600 --> 00:40:49,680 Speaker 1: the opposite. 870 00:40:49,320 --> 00:40:51,279 Speaker 4: Configuration, but they're the same configuration. 871 00:40:51,400 --> 00:40:53,120 Speaker 1: Well, they're in the same state, but one of them 872 00:40:53,160 --> 00:40:54,960 Speaker 1: has this label one. You know, one of them is 873 00:40:54,960 --> 00:40:56,839 Speaker 1: particle one and one of them is particle two. Though 874 00:40:56,840 --> 00:40:59,080 Speaker 1: they're in the same state, so you can't really distinguish them, 875 00:40:59,200 --> 00:41:01,840 Speaker 1: right inticle, They have the same orbit, the same spin, 876 00:41:01,960 --> 00:41:04,200 Speaker 1: everything is the same, and if you swap them as 877 00:41:04,280 --> 00:41:07,080 Speaker 1: you're imagining, nothing changes because they're the same particle in 878 00:41:07,120 --> 00:41:09,319 Speaker 1: the same state, so it should be the same. But 879 00:41:09,360 --> 00:41:11,799 Speaker 1: the universe says, well, the wave function has to get 880 00:41:11,800 --> 00:41:14,359 Speaker 1: a negative sign if you do this for fermions. So 881 00:41:14,440 --> 00:41:17,319 Speaker 1: the only way to satisfy both of those requirements to say, well, 882 00:41:17,360 --> 00:41:19,200 Speaker 1: it has to be the same if you swap them, 883 00:41:19,320 --> 00:41:21,239 Speaker 1: and it has to get a negative sign if you 884 00:41:21,280 --> 00:41:23,520 Speaker 1: swap them, is for the wave function to be zero. 885 00:41:24,040 --> 00:41:26,279 Speaker 1: So if the wave function is zero, then when you 886 00:41:26,320 --> 00:41:29,040 Speaker 1: swap it, zero is negative. Zero. It's the only number 887 00:41:29,040 --> 00:41:31,799 Speaker 1: that is its own negative, and so from that you 888 00:41:31,840 --> 00:41:34,760 Speaker 1: can conclude that this is impossible. The universe just doesn't 889 00:41:34,760 --> 00:41:37,279 Speaker 1: do this. The wave function for two fermions being in 890 00:41:37,320 --> 00:41:40,080 Speaker 1: the same state is always zero. That way it can 891 00:41:40,080 --> 00:41:44,000 Speaker 1: satisfy both rules that swapping two identical particles, doesn't change anything, 892 00:41:44,400 --> 00:41:46,720 Speaker 1: and that the wave function gets a negative sign. 893 00:41:46,880 --> 00:41:48,680 Speaker 4: And you were saying earlier that this is because of 894 00:41:48,719 --> 00:41:52,520 Speaker 4: their spin, Like if because they have a certain spin 895 00:41:53,200 --> 00:41:55,520 Speaker 4: when you try to do this swapping, then some weird 896 00:41:55,560 --> 00:41:56,320 Speaker 4: things happen. 897 00:41:56,200 --> 00:41:59,439 Speaker 1: Exactly because this doesn't happen for particles of a different spin, 898 00:41:59,520 --> 00:42:02,879 Speaker 1: like with folkons. Not an issue photons, the universe says, yeah, 899 00:42:02,880 --> 00:42:04,759 Speaker 1: if you have two photons in the same state and 900 00:42:04,800 --> 00:42:07,560 Speaker 1: you swap them, you don't get a negative sign. It 901 00:42:07,640 --> 00:42:10,680 Speaker 1: only happens for fermions. And it's that negative sign that 902 00:42:10,760 --> 00:42:13,720 Speaker 1: makes this impossible. It's a negative sign, which is why 903 00:42:13,760 --> 00:42:16,840 Speaker 1: fermions can't be in the same state and bosons the 904 00:42:16,960 --> 00:42:20,080 Speaker 1: universe doesn't have a problem with, and it just operates 905 00:42:20,120 --> 00:42:23,239 Speaker 1: differently on bosons than it does on fermions. Then you 906 00:42:23,320 --> 00:42:26,120 Speaker 1: might ask, well, like where does that negative sign come from? 907 00:42:26,160 --> 00:42:28,719 Speaker 1: Why do fermions get a negative sign when you swap them. 908 00:42:28,760 --> 00:42:31,640 Speaker 1: That's weird, right, Like why should you get a negative sign. 909 00:42:31,680 --> 00:42:35,280 Speaker 1: You're just swapping two identical particles, it's basically the same setup. 910 00:42:35,480 --> 00:42:38,120 Speaker 1: Why would you expect the wave function to be the opposite? 911 00:42:38,320 --> 00:42:41,080 Speaker 1: And this is the weird thing that these quantum fermions 912 00:42:41,080 --> 00:42:44,400 Speaker 1: can do that classical particles can't do. There's like no 913 00:42:44,640 --> 00:42:49,000 Speaker 1: classical analog to this. There's no example in the natural 914 00:42:49,000 --> 00:42:51,640 Speaker 1: world that you can think about with baseballs or coffee 915 00:42:51,640 --> 00:42:54,759 Speaker 1: cups that is like this. It's most closely connected to 916 00:42:55,440 --> 00:42:57,880 Speaker 1: rotating things. Like if you take your coffee cup and 917 00:42:57,920 --> 00:43:00,719 Speaker 1: you spin it around three hundred and sixty degree, it's 918 00:43:00,760 --> 00:43:03,160 Speaker 1: the same coffee cup. That makes sense, right, And the 919 00:43:03,160 --> 00:43:05,640 Speaker 1: same thing is true for photons. If you take photons 920 00:43:05,640 --> 00:43:07,720 Speaker 1: and you rotate them by three hundred and sixty degrees, 921 00:43:07,760 --> 00:43:11,399 Speaker 1: you get the same photon. Electrons don't do that. Electrons, 922 00:43:11,680 --> 00:43:14,000 Speaker 1: if you rotate them by three hundred and sixty degrees, 923 00:43:14,120 --> 00:43:17,719 Speaker 1: you get the negative wavefunction then the original electron. So 924 00:43:17,760 --> 00:43:21,480 Speaker 1: there's something weird and different about fermions that picks up 925 00:43:21,480 --> 00:43:24,400 Speaker 1: this extra negative sign that's very different from anything we 926 00:43:24,480 --> 00:43:25,320 Speaker 1: know about before. 927 00:43:25,520 --> 00:43:27,520 Speaker 4: And you said it has to do with the quantum spin, 928 00:43:27,600 --> 00:43:30,640 Speaker 4: but I guess don't some of the fermions have no spin, 929 00:43:30,800 --> 00:43:34,560 Speaker 4: or do all fermions All of these matter particles have spin, 930 00:43:34,760 --> 00:43:36,600 Speaker 4: and do they have the same spin, And that's why 931 00:43:37,160 --> 00:43:39,040 Speaker 4: they have this rule against them. 932 00:43:39,120 --> 00:43:41,680 Speaker 1: Exactly all fermions have the same spin. They all have 933 00:43:41,760 --> 00:43:44,320 Speaker 1: spin one half, and that's sort of what it means 934 00:43:44,320 --> 00:43:46,200 Speaker 1: to be a fermion. I mean, some people say, no, 935 00:43:46,360 --> 00:43:49,200 Speaker 1: fermions are things that do this that don't overlap with 936 00:43:49,239 --> 00:43:52,360 Speaker 1: each other. They follow the polyexclusion principle, and it's because 937 00:43:52,400 --> 00:43:55,239 Speaker 1: they have spin one half. Other people say, no, fermions 938 00:43:55,480 --> 00:43:58,200 Speaker 1: are all particles that have spin one half. But it's 939 00:43:58,239 --> 00:44:01,640 Speaker 1: the spin one half that makes them do this, And 940 00:44:01,719 --> 00:44:03,960 Speaker 1: it's too mathematical to explain, but if you like dig 941 00:44:03,960 --> 00:44:06,440 Speaker 1: into the quantum field theory, this comes out of that 942 00:44:06,520 --> 00:44:09,160 Speaker 1: mathematics of the quantum field theory. The particles that have 943 00:44:09,360 --> 00:44:12,600 Speaker 1: fields that have spin one half, when you rotate them, 944 00:44:12,600 --> 00:44:14,960 Speaker 1: you get this extra minus sign, or when you swap them, 945 00:44:15,120 --> 00:44:17,400 Speaker 1: you get this extra minus sign. It's called the spin 946 00:44:17,480 --> 00:44:21,279 Speaker 1: statistics theorem. And that's fundamentally where this comes from. So 947 00:44:21,320 --> 00:44:24,560 Speaker 1: it's the one half spin nature of these particles that 948 00:44:24,719 --> 00:44:26,839 Speaker 1: means that they can't pile up on top of each other, 949 00:44:27,080 --> 00:44:30,160 Speaker 1: whereas particles with spin one or spin two could totally 950 00:44:30,200 --> 00:44:32,080 Speaker 1: pile up on top of each other and be in 951 00:44:32,120 --> 00:44:33,840 Speaker 1: the same quantum state no problem. 952 00:44:34,120 --> 00:44:37,000 Speaker 4: Or I'm getting the sense that maybe you gave them 953 00:44:37,200 --> 00:44:39,359 Speaker 4: spin one half because they can't be in the same 954 00:44:39,400 --> 00:44:41,399 Speaker 4: place at the same time. You know what I mean, 955 00:44:41,440 --> 00:44:45,560 Speaker 4: Like like which game fur is the chicken or the egg? 956 00:44:45,920 --> 00:44:47,920 Speaker 4: The spin or the exclusion principle. 957 00:44:48,080 --> 00:44:51,120 Speaker 1: Oh, that's a great question. Actually, this is how electron 958 00:44:51,160 --> 00:44:52,319 Speaker 1: spin was discovered. 959 00:44:52,360 --> 00:44:53,040 Speaker 4: That's what I mean. 960 00:44:53,280 --> 00:44:56,799 Speaker 1: Yes, no, absolutely, this is why spin was invented to 961 00:44:56,960 --> 00:45:00,839 Speaker 1: explain this, right, And the story is actually really fun. 962 00:45:00,880 --> 00:45:03,839 Speaker 1: People were looking at electron orbitals back in the early days, 963 00:45:03,880 --> 00:45:07,200 Speaker 1: like nineteen thirties and trying to understand why the electrons 964 00:45:07,200 --> 00:45:09,399 Speaker 1: filled up the orbitals the way they did, and they 965 00:45:09,400 --> 00:45:11,840 Speaker 1: had this idea of the exclusion principle, but they didn't 966 00:45:11,920 --> 00:45:14,600 Speaker 1: understand like why you could have two electrons in the 967 00:45:14,640 --> 00:45:17,439 Speaker 1: lowest level what's going on? And in the next level, 968 00:45:17,440 --> 00:45:19,600 Speaker 1: why could you have eight instead of four? There was 969 00:45:19,640 --> 00:45:23,239 Speaker 1: this weird factor of two that nobody could explain, and 970 00:45:23,320 --> 00:45:25,759 Speaker 1: Paully wrote a letter to some other physicists about it, 971 00:45:25,800 --> 00:45:29,960 Speaker 1: and he said that electrons have a two valuedness, not 972 00:45:30,239 --> 00:45:34,120 Speaker 1: describable classically. He just meant like they have some physical 973 00:45:34,160 --> 00:45:37,000 Speaker 1: property that has two options, like an up and a down, 974 00:45:37,080 --> 00:45:39,239 Speaker 1: or a zero and a one, or you know, a 975 00:45:39,360 --> 00:45:42,080 Speaker 1: switch that you could flip there's something else about the 976 00:45:42,120 --> 00:45:45,000 Speaker 1: electrons that let them distinguish each other, so you can 977 00:45:45,080 --> 00:45:47,879 Speaker 1: have two of them in the lowest energy level. That's 978 00:45:47,920 --> 00:45:50,840 Speaker 1: how we discovered that electrons actually do have spin. 979 00:45:51,000 --> 00:45:54,680 Speaker 4: Or at least you called spin, because you quite have 980 00:45:54,800 --> 00:45:57,960 Speaker 4: another name for it, right to explain this phenomenon. 981 00:45:57,480 --> 00:46:01,000 Speaker 1: Exactly, And it was two young Dutch physicists, gou Smidt 982 00:46:01,080 --> 00:46:03,799 Speaker 1: and Uhlenbeck, who read this letter from Pauline and they 983 00:46:03,840 --> 00:46:06,880 Speaker 1: were like, oh, wait, maybe electrons are spinning. So they 984 00:46:06,880 --> 00:46:09,040 Speaker 1: did a bunch of calculations and they're like, ooh, electrons 985 00:46:09,040 --> 00:46:11,160 Speaker 1: are spinning. This is really awesome, and they wrote this 986 00:46:11,239 --> 00:46:13,319 Speaker 1: paper and they sent it off and then they showed 987 00:46:13,320 --> 00:46:15,960 Speaker 1: it to another famous Dutch physicist, Lorenz, and Lorenz was like, 988 00:46:16,360 --> 00:46:19,680 Speaker 1: y'all are totally wrong. Electrons can't spin. Their surfaces will 989 00:46:19,760 --> 00:46:21,680 Speaker 1: be moving faster than the speed of light. So then 990 00:46:21,680 --> 00:46:23,800 Speaker 1: they realized, oh my gosh, our paper was wrong, and 991 00:46:23,840 --> 00:46:25,399 Speaker 1: they tried to retract it, but it was too late. 992 00:46:25,440 --> 00:46:29,120 Speaker 1: It had already been published. And then it turns out 993 00:46:29,160 --> 00:46:31,799 Speaker 1: that electrons do spin, but not in the way that 994 00:46:31,840 --> 00:46:35,479 Speaker 1: they expected. They have this weird property quantum spin, which 995 00:46:35,480 --> 00:46:37,680 Speaker 1: is not spin in the same way that like a 996 00:46:37,719 --> 00:46:41,520 Speaker 1: baseball spins, it's some other weird kind of angular momentum. 997 00:46:41,560 --> 00:46:43,759 Speaker 1: So the history of like the discovery of electron spin 998 00:46:43,800 --> 00:46:44,520 Speaker 1: is pretty funny. 999 00:46:45,280 --> 00:46:49,520 Speaker 4: Man, particle physicists are pretty catty? Is that where short 1000 00:46:49,560 --> 00:46:50,760 Speaker 4: Anger's cat came from? 1001 00:46:51,400 --> 00:46:53,760 Speaker 1: Exactly what? I love This story of two guys inventing 1002 00:46:53,840 --> 00:46:56,239 Speaker 1: spin for the wrong reasons, trying to retract it and 1003 00:46:56,320 --> 00:46:59,560 Speaker 1: then ended up being right, sort of accidentally interesting. 1004 00:46:59,600 --> 00:47:01,800 Speaker 4: All right, Well, the universe us to have this rule, 1005 00:47:02,200 --> 00:47:04,640 Speaker 4: and it seems to be embedded in some of the 1006 00:47:04,800 --> 00:47:08,800 Speaker 4: mathematics that maybe makes the universe works. Let's talk about 1007 00:47:08,840 --> 00:47:12,640 Speaker 4: that thorny philosophical question and also some of the consequences 1008 00:47:12,680 --> 00:47:16,080 Speaker 4: of this poly exclusion principle on the rest of the universe. 1009 00:47:16,520 --> 00:47:18,320 Speaker 4: But first, let's take another quick break. 1010 00:47:22,480 --> 00:47:24,280 Speaker 1: When you pop a piece of cheese into your mouth, 1011 00:47:24,360 --> 00:47:27,520 Speaker 1: or enjoy a rich spoonful of Greek yogurt, you're probably 1012 00:47:27,560 --> 00:47:31,600 Speaker 1: not thinking about the environmental impact of each and every bite. 1013 00:47:31,640 --> 00:47:34,240 Speaker 1: But the people in the dairy industry are us. Dairy 1014 00:47:34,280 --> 00:47:38,600 Speaker 1: has set themselves some ambitious sustainability goals, including being greenhouse 1015 00:47:38,600 --> 00:47:41,200 Speaker 1: gas neutral by twenty to fifty. That's why they're working 1016 00:47:41,200 --> 00:47:43,560 Speaker 1: hard every day to find new ways to reduce waste, 1017 00:47:43,640 --> 00:47:47,839 Speaker 1: conserve natural resources, and drive down greenhouse gas emissions. Take water, 1018 00:47:47,880 --> 00:47:50,959 Speaker 1: for example, most dairy farms reuse water up to four 1019 00:47:51,040 --> 00:47:54,479 Speaker 1: times the same water cools the milk, cleans equipment, washes 1020 00:47:54,520 --> 00:47:57,360 Speaker 1: the barn, and irrigates the crops. How is US dairy 1021 00:47:57,360 --> 00:48:00,880 Speaker 1: tackling greenhouse gases? Many farms use anaerob big digestors that 1022 00:48:00,920 --> 00:48:03,879 Speaker 1: turn the methane from maneuver into renewable energy that can 1023 00:48:03,920 --> 00:48:06,719 Speaker 1: power farms, towns, and electric cars. 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And what 1066 00:50:21,719 --> 00:50:24,120 Speaker 4: this means is that no to electrons or no, two 1067 00:50:24,200 --> 00:50:26,440 Speaker 4: quarks can be kind of on top of each other, 1068 00:50:26,800 --> 00:50:29,760 Speaker 4: not out there in free space and not orbiting around 1069 00:50:29,800 --> 00:50:33,600 Speaker 4: an atom, which is what gives us the wonderful chemistry 1070 00:50:33,640 --> 00:50:35,960 Speaker 4: that makes us who we are. And we talked a 1071 00:50:35,960 --> 00:50:39,520 Speaker 4: little bit about that. The reason that two fermions or 1072 00:50:39,520 --> 00:50:42,040 Speaker 4: two electrons or two quarks can't do this is because 1073 00:50:42,320 --> 00:50:45,279 Speaker 4: it messes up the math. Now, my question is, like, 1074 00:50:45,520 --> 00:50:48,719 Speaker 4: does that mean that the universe is mathematical? Like does 1075 00:50:48,760 --> 00:50:51,360 Speaker 4: the universe care about math? Like why does the universe 1076 00:50:51,400 --> 00:50:53,760 Speaker 4: care about math, Like if I were at the universe, 1077 00:50:53,800 --> 00:50:56,040 Speaker 4: I'd be like, I'm the universe. I don't care about math. 1078 00:50:56,160 --> 00:50:57,880 Speaker 4: Two plus two equals five. Why not? 1079 00:50:59,560 --> 00:51:03,120 Speaker 1: We know, but it seems like the universe does follow 1080 00:51:03,160 --> 00:51:06,680 Speaker 1: mathematical laws, and the universe is self consistent, right, the 1081 00:51:06,760 --> 00:51:09,040 Speaker 1: universe doesn't have like two things going on at the 1082 00:51:09,080 --> 00:51:12,160 Speaker 1: same time or things that contradict each other. So it 1083 00:51:12,239 --> 00:51:14,040 Speaker 1: might just be that you can have lots of different 1084 00:51:14,080 --> 00:51:16,200 Speaker 1: universes out there, but only the ones that are self 1085 00:51:16,239 --> 00:51:19,400 Speaker 1: consistent that follow mathematical laws are the ones where you have, 1086 00:51:19,600 --> 00:51:22,520 Speaker 1: like people evolved with brains that to make sense of 1087 00:51:22,520 --> 00:51:26,359 Speaker 1: these things and study them. So we don't really understand it, 1088 00:51:26,400 --> 00:51:29,920 Speaker 1: but our universe does seem to follow mathematical laws, and 1089 00:51:29,960 --> 00:51:32,840 Speaker 1: when you find a mathematical principle, it seems to manifest 1090 00:51:32,920 --> 00:51:36,200 Speaker 1: itself in nature. Right. What we're talking about are the 1091 00:51:36,280 --> 00:51:39,200 Speaker 1: laws of how quantum feels operate, how they wiggle, how 1092 00:51:39,200 --> 00:51:42,440 Speaker 1: they transfer energy between them, the rules that they follow, 1093 00:51:42,960 --> 00:51:46,440 Speaker 1: and those rules seem to have like consequences way down 1094 00:51:46,480 --> 00:51:50,760 Speaker 1: the line that affect us and ice cream and stars. 1095 00:51:51,120 --> 00:51:53,480 Speaker 4: I guess what's kind of weird is that I'm sure 1096 00:51:53,640 --> 00:51:58,759 Speaker 4: math has a bunch of other rules it likes to do, 1097 00:51:58,840 --> 00:52:01,480 Speaker 4: it doesn't like to do. Maybe not all of them 1098 00:52:01,600 --> 00:52:05,160 Speaker 4: are represented in a physical thing, right, Like not all 1099 00:52:05,160 --> 00:52:08,520 Speaker 4: of them have a physical manifestation of those principles. But 1100 00:52:08,560 --> 00:52:10,759 Speaker 4: this is a case where you know, you have something 1101 00:52:10,800 --> 00:52:14,600 Speaker 4: that doesn't work in the math, and it actually has 1102 00:52:14,760 --> 00:52:19,839 Speaker 4: like a physical, a tangible, you know, solid representation of 1103 00:52:19,880 --> 00:52:20,279 Speaker 4: that math. 1104 00:52:20,360 --> 00:52:23,080 Speaker 1: Yeah, exactly. It's certainly true that there are more sort 1105 00:52:23,120 --> 00:52:27,200 Speaker 1: of mental universes in mathematics than exist in the physical universe. 1106 00:52:27,280 --> 00:52:29,600 Speaker 1: Like you could dream up all sorts of universes that 1107 00:52:29,680 --> 00:52:32,239 Speaker 1: don't exist out there. But once you think about just 1108 00:52:32,360 --> 00:52:35,359 Speaker 1: our universe, if you think about the mathematical laws that 1109 00:52:35,440 --> 00:52:39,759 Speaker 1: describe it, the universe basically does everything that the math allows. 1110 00:52:39,800 --> 00:52:42,160 Speaker 1: Like if it's possible for an electron to radiate a 1111 00:52:42,160 --> 00:52:45,520 Speaker 1: photon or you know, a Higgs boson or something, it will. 1112 00:52:45,880 --> 00:52:49,000 Speaker 1: So the universe does everything that's mathematically allowed. And so 1113 00:52:49,040 --> 00:52:52,160 Speaker 1: if something is mathematically forbidden, if something doesn't happen, it's 1114 00:52:52,160 --> 00:52:55,799 Speaker 1: probably because it's mathematically forbidden. That's like one way that 1115 00:52:55,840 --> 00:52:58,160 Speaker 1: we figure out what the rules are. We look and 1116 00:52:58,160 --> 00:53:00,520 Speaker 1: we say, hmm, how come you want and don't just 1117 00:53:00,600 --> 00:53:03,640 Speaker 1: turn into electrons sometimes what's going on there? And it 1118 00:53:03,680 --> 00:53:07,080 Speaker 1: turns out there's a mathematical rule that describes why that 1119 00:53:07,160 --> 00:53:11,040 Speaker 1: can't happen. It often reveals some like underlying physical principle, 1120 00:53:11,160 --> 00:53:13,520 Speaker 1: And so that's why it's so fun to find these rules, 1121 00:53:13,520 --> 00:53:16,080 Speaker 1: describe them mathematically, and then step back and think, why 1122 00:53:16,160 --> 00:53:18,480 Speaker 1: is the universe this way? Would it be possible to 1123 00:53:18,480 --> 00:53:21,120 Speaker 1: have a universe without this rule or is this rule 1124 00:53:21,239 --> 00:53:23,759 Speaker 1: necessary for the universe to like make sense at all? 1125 00:53:24,840 --> 00:53:27,160 Speaker 4: Well, I guess what's weird too, is that, you know, like, 1126 00:53:27,320 --> 00:53:29,120 Speaker 4: I'd be fine if if the universe had this rule 1127 00:53:29,120 --> 00:53:31,200 Speaker 4: that said, oh no, you can't have the two electrons 1128 00:53:31,280 --> 00:53:32,879 Speaker 4: kind of on the same spot at the same time, 1129 00:53:32,920 --> 00:53:35,760 Speaker 4: and be like, okay, fine, that never happens. But it's 1130 00:53:35,800 --> 00:53:39,799 Speaker 4: almost like the universe resists even getting close to that possibility. 1131 00:53:40,200 --> 00:53:42,359 Speaker 4: Like if you take as we were talking about earlier, 1132 00:53:42,400 --> 00:53:44,520 Speaker 4: if you take two electrons and you try to squish 1133 00:53:44,600 --> 00:53:48,320 Speaker 4: them together and you can overcome the electromagnetic force that 1134 00:53:48,400 --> 00:53:52,520 Speaker 4: repels them, there's another force almost in the universe that 1135 00:53:52,719 --> 00:53:55,640 Speaker 4: kind of resists that squishing them together. Right, It's like 1136 00:53:55,680 --> 00:53:57,680 Speaker 4: the universe is like kind of freaking out a little 1137 00:53:57,680 --> 00:54:01,560 Speaker 4: bit like, ah, you're getting close to an illogical inconsistency. 1138 00:54:02,120 --> 00:54:03,440 Speaker 4: Keep those two things away. 1139 00:54:03,360 --> 00:54:06,000 Speaker 1: Yeah, exactly. And some listeners have written in to ask 1140 00:54:06,040 --> 00:54:09,320 Speaker 1: about that. They're like, what's the mechanism of that? Which 1141 00:54:09,360 --> 00:54:12,400 Speaker 1: of the forces is the thing that keeps the electrons 1142 00:54:12,440 --> 00:54:14,680 Speaker 1: from being on top of each other? Because they imagine 1143 00:54:14,719 --> 00:54:17,000 Speaker 1: that like otherwise they would, And so in order to 1144 00:54:17,080 --> 00:54:19,920 Speaker 1: like change the direction of electron or something, you need 1145 00:54:19,960 --> 00:54:22,400 Speaker 1: to have some force that operates there. And if you 1146 00:54:22,440 --> 00:54:24,480 Speaker 1: try to read about it, it's a little bit confusing 1147 00:54:24,680 --> 00:54:27,840 Speaker 1: because there is a description of this, like Fermi pressure 1148 00:54:28,000 --> 00:54:30,480 Speaker 1: or this effective force that describes it. But if you 1149 00:54:30,480 --> 00:54:33,280 Speaker 1: think about forces in terms of like the fundamental forces, 1150 00:54:33,280 --> 00:54:36,480 Speaker 1: you know, the weak force, a strong force, the electromagnetic force, 1151 00:54:36,640 --> 00:54:39,040 Speaker 1: this is like an emergent force. This is something that 1152 00:54:39,080 --> 00:54:42,040 Speaker 1: comes out of observing these things and trying to describe 1153 00:54:42,040 --> 00:54:44,319 Speaker 1: the energy levels that they fall into and that they 1154 00:54:44,719 --> 00:54:48,040 Speaker 1: don't fall into. Really, there's no force that's doing this. 1155 00:54:48,160 --> 00:54:51,080 Speaker 1: It's just something the universe doesn't do. Like an electron 1156 00:54:51,200 --> 00:54:53,279 Speaker 1: just can't go there, you know, it's just like not 1157 00:54:53,360 --> 00:54:55,239 Speaker 1: an option for the electron. 1158 00:54:55,480 --> 00:54:57,799 Speaker 4: So is there like some sort of force pushing these 1159 00:54:57,840 --> 00:55:00,560 Speaker 4: two things apart? That is working kind of on behalf 1160 00:55:00,600 --> 00:55:03,000 Speaker 4: of the Fermi exclusion principle. Is there that you think 1161 00:55:03,080 --> 00:55:05,960 Speaker 4: or is it more sort of like a quantum probability 1162 00:55:06,080 --> 00:55:08,600 Speaker 4: or improbability that keeps the two things apart. 1163 00:55:08,719 --> 00:55:10,880 Speaker 1: It's not a fundamental force, but they're sort of like 1164 00:55:10,920 --> 00:55:13,680 Speaker 1: an effective force. I mean, think about like having a 1165 00:55:13,719 --> 00:55:16,919 Speaker 1: bunch of electrons and trying to squeeze them down into 1166 00:55:16,960 --> 00:55:20,120 Speaker 1: the same place. Well, what's really going on is that 1167 00:55:20,160 --> 00:55:23,160 Speaker 1: you can't have the electrons in the same state, and 1168 00:55:23,239 --> 00:55:27,040 Speaker 1: so the electrons resist that by having different energies, you know, 1169 00:55:27,080 --> 00:55:29,200 Speaker 1: the same way that like electrons around a nucleus will 1170 00:55:29,239 --> 00:55:31,560 Speaker 1: fill up the ladder of energies, so some of them 1171 00:55:31,600 --> 00:55:34,280 Speaker 1: have more energy than otherwise. Right, you're trying to squeeze 1172 00:55:34,280 --> 00:55:37,520 Speaker 1: a bunch of electrons down to a tiny little blob. 1173 00:55:37,640 --> 00:55:39,640 Speaker 1: They will resist it because some of them will have 1174 00:55:39,800 --> 00:55:44,040 Speaker 1: higher energy than otherwise, because they're forced into it, forced 1175 00:55:44,040 --> 00:55:46,720 Speaker 1: to stay in those higher energy states because of the ladder. 1176 00:55:46,960 --> 00:55:49,759 Speaker 1: And effectively that means that they are pushing back if 1177 00:55:49,800 --> 00:55:52,320 Speaker 1: they have more energy. They're like bouncing off the walls 1178 00:55:52,360 --> 00:55:55,960 Speaker 1: of your box with more momentum. They're pushing on that box, 1179 00:55:56,480 --> 00:55:58,640 Speaker 1: and so the fact that the electrons can't all go 1180 00:55:58,760 --> 00:56:01,160 Speaker 1: to the lowest state means to have more energy, which 1181 00:56:01,239 --> 00:56:04,239 Speaker 1: means effectively they're pushing back on you as you try 1182 00:56:04,280 --> 00:56:07,839 Speaker 1: to squeeze them down. So that's like an effective pressure, right. 1183 00:56:07,880 --> 00:56:10,279 Speaker 1: It's not like the electrons are pushing against each other 1184 00:56:10,400 --> 00:56:12,920 Speaker 1: or like there's a force between the electron and the 1185 00:56:12,960 --> 00:56:15,520 Speaker 1: walls of your box. But as you try to squeeze 1186 00:56:15,520 --> 00:56:19,160 Speaker 1: electrons down, you'll notice this effective pressure that wouldn't happen 1187 00:56:19,200 --> 00:56:21,000 Speaker 1: if you did the same thing with photons. 1188 00:56:21,360 --> 00:56:23,880 Speaker 4: Oh, I see what you're saying. It's more like if 1189 00:56:23,960 --> 00:56:26,560 Speaker 4: you try to get an electron to collapse to the 1190 00:56:26,680 --> 00:56:31,319 Speaker 4: lowest possible, for example, orbit around in a nucleus, but 1191 00:56:31,360 --> 00:56:35,400 Speaker 4: there's already an electron there. It's not like the electron 1192 00:56:35,480 --> 00:56:37,680 Speaker 4: pushes back against you to try to collapse it. It's 1193 00:56:37,719 --> 00:56:40,960 Speaker 4: just that the electron doesn't give up. It's the energy 1194 00:56:40,960 --> 00:56:42,920 Speaker 4: that it has. Yeah, Like in order to squeeze it 1195 00:56:42,960 --> 00:56:45,480 Speaker 4: down to the lowest it needs to give up that energy. 1196 00:56:45,760 --> 00:56:48,080 Speaker 4: But because it can, it like the electron hold onto 1197 00:56:48,080 --> 00:56:51,160 Speaker 4: that energy. And that's basically the same as like pushing 1198 00:56:51,200 --> 00:56:52,120 Speaker 4: back against. 1199 00:56:51,760 --> 00:56:54,399 Speaker 1: You exactly, And that's the mechanism for it to push back, 1200 00:56:54,640 --> 00:56:57,600 Speaker 1: and we actually see that happen out there in the universe. 1201 00:56:58,160 --> 00:57:01,720 Speaker 1: And for example, white dwarfs are these really really dense 1202 00:57:01,840 --> 00:57:04,800 Speaker 1: blobs of super hot metal. If they're left over. For 1203 00:57:04,840 --> 00:57:07,000 Speaker 1: at the end point of a star, a star has 1204 00:57:07,000 --> 00:57:09,400 Speaker 1: done all the burning that it can and it's blown 1205 00:57:09,440 --> 00:57:12,520 Speaker 1: up maybe and left behind its core. They're just sitting there, 1206 00:57:12,719 --> 00:57:16,040 Speaker 1: hot and glowing and eventually cooling down. These things are 1207 00:57:16,040 --> 00:57:19,520 Speaker 1: incredibly dense and the gravity is very very strong. So 1208 00:57:19,560 --> 00:57:21,360 Speaker 1: you might wonder, like, why doesn't the white dwarf collapse 1209 00:57:21,400 --> 00:57:23,120 Speaker 1: into a black hole? The thing that keeps a star 1210 00:57:23,280 --> 00:57:25,360 Speaker 1: from collapsing into a black hole is that it still 1211 00:57:25,400 --> 00:57:27,800 Speaker 1: has fusion happening. It's like radiating out energy, it's like 1212 00:57:27,840 --> 00:57:30,600 Speaker 1: blowing up. But a white dwarf isn't doing that anymore, 1213 00:57:30,640 --> 00:57:33,280 Speaker 1: so it's just like a blob of mass. Why isn't 1214 00:57:33,280 --> 00:57:36,040 Speaker 1: it collapsing into a black hole? And the answer is 1215 00:57:36,160 --> 00:57:40,240 Speaker 1: electron degeneracy. These electrons resist getting pushed on top of 1216 00:57:40,280 --> 00:57:42,680 Speaker 1: each other, and they prevent this thing from turning into 1217 00:57:42,720 --> 00:57:45,080 Speaker 1: a black hole. They're like one of the last barriers 1218 00:57:45,120 --> 00:57:47,200 Speaker 1: of defense against gravitational collapse. 1219 00:57:47,360 --> 00:57:49,360 Speaker 4: Well it's pretty cool. Would you say white dwarfs are 1220 00:57:49,360 --> 00:57:52,280 Speaker 4: pretty awesome? Are they more awesome than chocolate dwarfs? 1221 00:57:52,600 --> 00:57:54,800 Speaker 1: I think the fate of the universe is for all 1222 00:57:54,800 --> 00:57:57,880 Speaker 1: the white dwarfs to cool down and become black dwarfs, 1223 00:57:58,200 --> 00:58:01,520 Speaker 1: which means black dwarfs are cooler than white dwarfs, just 1224 00:58:01,560 --> 00:58:03,080 Speaker 1: like chocolate is cooler than vanilla. 1225 00:58:03,240 --> 00:58:05,600 Speaker 4: Well, sure, if you leave, I screapout, nobody wants. Nobody's 1226 00:58:05,600 --> 00:58:07,800 Speaker 4: gonna want to eat that ice cream eventually. 1227 00:58:08,040 --> 00:58:10,200 Speaker 1: But you know, if you add more mass to this 1228 00:58:10,280 --> 00:58:12,960 Speaker 1: white dwarf so the gravity gets stronger, you can actually 1229 00:58:13,000 --> 00:58:16,680 Speaker 1: overcome this electron degeneracy pressure. And what happens is not 1230 00:58:16,720 --> 00:58:18,760 Speaker 1: that the electrons give up and then like pile on 1231 00:58:18,800 --> 00:58:20,960 Speaker 1: top of each other. They're just not allowed to do that. 1232 00:58:21,000 --> 00:58:24,480 Speaker 1: What happens is the electrons combined with the protons to 1233 00:58:24,600 --> 00:58:27,560 Speaker 1: turn into neutrons, so they give up and become not 1234 00:58:27,720 --> 00:58:30,880 Speaker 1: electrons anymore, and then you can get things a little 1235 00:58:30,920 --> 00:58:31,520 Speaker 1: bit denser. 1236 00:58:31,800 --> 00:58:34,919 Speaker 4: Mmm. You mean at some point like they just become 1237 00:58:34,960 --> 00:58:36,960 Speaker 4: pure energy and then they squeeze together. 1238 00:58:37,040 --> 00:58:39,560 Speaker 1: Yeah, Well, the proton and the electron together can do 1239 00:58:39,640 --> 00:58:42,920 Speaker 1: like a reverse beta decay and become a neutron, and 1240 00:58:43,000 --> 00:58:45,320 Speaker 1: then you have a neutron star, which is just a 1241 00:58:45,400 --> 00:58:49,200 Speaker 1: big blob of neutrons, and those neutrons get squeezed together 1242 00:58:49,200 --> 00:58:52,880 Speaker 1: by gravity, and the neutrons are also fermions. One of 1243 00:58:52,920 --> 00:58:56,320 Speaker 1: the fascinating things about fermions is it's not just fundamental particles. 1244 00:58:56,520 --> 00:58:59,680 Speaker 1: You can put quirks together in various arrangements to make fermions. 1245 00:58:59,840 --> 00:59:03,120 Speaker 1: Like the proton is a fermion, the neutron is a fermion, 1246 00:59:03,520 --> 00:59:06,520 Speaker 1: and then the neutrons are resisting also because they are 1247 00:59:06,560 --> 00:59:10,600 Speaker 1: also fermions. The reason a neutron star doesn't collapse is 1248 00:59:10,720 --> 00:59:14,520 Speaker 1: because of the neutron degeneracy pressure. The same principle that 1249 00:59:14,600 --> 00:59:16,840 Speaker 1: kept the white dwarf alive is now keeping the neutron 1250 00:59:16,920 --> 00:59:19,480 Speaker 1: star from becoming a black hole. But then as you 1251 00:59:19,560 --> 00:59:22,280 Speaker 1: add more and more mass to that neutron star gets 1252 00:59:22,360 --> 00:59:26,000 Speaker 1: denser and denser, and eventually even the neutrons degeneracy pressure 1253 00:59:26,120 --> 00:59:29,920 Speaker 1: is overcome. But again not by the neutrons violating this 1254 00:59:30,080 --> 00:59:33,280 Speaker 1: rule of the universe. Instead, they just turn into something else. 1255 00:59:33,800 --> 00:59:36,320 Speaker 1: We've talked about the heart of neutron stars before. Nobody 1256 00:59:36,320 --> 00:59:39,080 Speaker 1: really knows what's going on, but it's not neutrons anymore. 1257 00:59:39,080 --> 00:59:41,880 Speaker 1: It's something else. Crazy that's happening. And to understand how 1258 00:59:41,920 --> 00:59:43,960 Speaker 1: you can keep adding mass and a black hole conform 1259 00:59:44,000 --> 00:59:46,080 Speaker 1: at the heart of it would require like a theory 1260 00:59:46,120 --> 00:59:48,640 Speaker 1: of quantum gravity that we just don't even have yet. 1261 00:59:49,440 --> 00:59:52,240 Speaker 4: You mean, like, we have this exclusion principle, this rule 1262 00:59:52,280 --> 00:59:55,200 Speaker 4: about the universe that says you can't squish two framons together. 1263 00:59:55,600 --> 00:59:57,800 Speaker 4: But at some point, if you try harder, you can 1264 00:59:57,880 --> 01:00:01,040 Speaker 4: sort of bypass this rule because suddenly the things you're 1265 01:00:01,040 --> 01:00:04,280 Speaker 4: trying to squeeh together are no longer electrons or neutrons. 1266 01:00:04,320 --> 01:00:07,840 Speaker 4: They just kind of become pure energy or pure quantum potential, 1267 01:00:07,960 --> 01:00:09,120 Speaker 4: and then they become something else. 1268 01:00:09,200 --> 01:00:11,200 Speaker 1: Yeah, exactly, And we see those examples in all sorts 1269 01:00:11,200 --> 01:00:13,400 Speaker 1: of situations, like even when it's not at the heart 1270 01:00:13,440 --> 01:00:17,560 Speaker 1: of a neutron star. Super Conductivity works this way. Electrons 1271 01:00:17,600 --> 01:00:19,880 Speaker 1: are fermions, right, they can't be in the same state. 1272 01:00:20,160 --> 01:00:22,360 Speaker 1: But if you get two electrons together and you sort 1273 01:00:22,360 --> 01:00:25,360 Speaker 1: of tie them up together into a single quantum object, 1274 01:00:25,560 --> 01:00:28,360 Speaker 1: they become a boson. There are two spin one half 1275 01:00:28,400 --> 01:00:31,280 Speaker 1: states combined to a spin one state, and it's called 1276 01:00:31,280 --> 01:00:34,880 Speaker 1: a Cooper pair, and it's a key to super conductivity 1277 01:00:35,080 --> 01:00:37,680 Speaker 1: because now these electrons can like flow and slide in 1278 01:00:37,720 --> 01:00:41,280 Speaker 1: the way that bosons can in lower energy states and 1279 01:00:41,440 --> 01:00:44,240 Speaker 1: make things move more quickly. So we can see fermions 1280 01:00:44,320 --> 01:00:47,880 Speaker 1: like exploiting this loophole by becoming bosons, by pairing up. 1281 01:00:48,320 --> 01:00:50,520 Speaker 1: So yeah, absolutely, you can avoid this rule of the 1282 01:00:50,600 --> 01:00:53,640 Speaker 1: universe by squeezing things down or tying things together. 1283 01:00:54,520 --> 01:00:56,960 Speaker 4: I think what you're saying is that the universe has principles, 1284 01:00:57,000 --> 01:00:59,320 Speaker 4: but if you put enough pressure on it, it totally 1285 01:00:59,400 --> 01:01:00,880 Speaker 4: throws out those principles out the door. 1286 01:01:02,440 --> 01:01:04,959 Speaker 1: Exactly. Even if I've agreed to eat chocolate ice cream 1287 01:01:05,000 --> 01:01:07,400 Speaker 1: for the rest of my life, I might sneak a 1288 01:01:07,440 --> 01:01:11,280 Speaker 1: sample of vanilla sometimes just for variety under enough pressure 1289 01:01:11,840 --> 01:01:13,760 Speaker 1: pressure at the heart of a neutron star. 1290 01:01:15,240 --> 01:01:17,640 Speaker 4: Only then we eat vanilla ice cream. 1291 01:01:18,200 --> 01:01:20,800 Speaker 1: No, I love vanilla. Did you know that vanilla beans 1292 01:01:20,840 --> 01:01:24,040 Speaker 1: are actually more expensive pound for pound than gold. 1293 01:01:24,160 --> 01:01:26,400 Speaker 4: I didn't know that, but it doesn't surprise me because 1294 01:01:26,440 --> 01:01:29,680 Speaker 4: vanilla is the best. I'll eat vanilla anytime over a goal. 1295 01:01:31,040 --> 01:01:34,120 Speaker 4: All right, Well, it sounds like the universe has these 1296 01:01:34,160 --> 01:01:38,640 Speaker 4: strange rules about it, although under enough pressure or are 1297 01:01:38,680 --> 01:01:41,720 Speaker 4: there certain circumstances, it seems to throughout these or it 1298 01:01:41,760 --> 01:01:45,240 Speaker 4: finds loopholes around these principles, but that it's thanks to 1299 01:01:45,280 --> 01:01:48,480 Speaker 4: these principles that we have things like chemistry and we 1300 01:01:48,560 --> 01:01:51,520 Speaker 4: have chemiccry the way it is, and so without these rules, 1301 01:01:51,520 --> 01:01:53,640 Speaker 4: we wouldn't be here talking about these rules. 1302 01:01:53,760 --> 01:01:57,200 Speaker 1: Yeah, exactly. It's the reason we even have a delicious 1303 01:01:57,240 --> 01:01:59,600 Speaker 1: dilemma between chocolate and vanilla, which. 1304 01:01:59,440 --> 01:02:01,760 Speaker 4: I still think you can solve by just having a swirl. 1305 01:02:02,360 --> 01:02:03,840 Speaker 1: That's the loophole, that's. 1306 01:02:03,760 --> 01:02:07,000 Speaker 4: Right, Yeah, transform it into something else, rocky road. It's 1307 01:02:07,040 --> 01:02:10,880 Speaker 4: called rocky rost for it already. You spin it, spin 1308 01:02:10,960 --> 01:02:13,320 Speaker 4: it in a different way. All right. Well, we hope 1309 01:02:13,360 --> 01:02:16,600 Speaker 4: you enjoyed that. Thanks for joining us, See you next time. 1310 01:02:24,480 --> 01:02:27,280 Speaker 1: Thanks for listening, and remember that Daniel and Jorge Explain 1311 01:02:27,360 --> 01:02:30,600 Speaker 1: the Universe is a production of iHeart Radio. For more 1312 01:02:30,680 --> 01:02:35,280 Speaker 1: podcasts from iHeart Radio, visit the iHeartRadio app, Apple Podcasts, 1313 01:02:35,440 --> 01:02:49,360 Speaker 1: or wherever you listen to your favorite shows. When you 1314 01:02:49,400 --> 01:02:51,440 Speaker 1: pop a piece of cheese into your mouth, you're probably 1315 01:02:51,480 --> 01:02:54,560 Speaker 1: not thinking about the environmental impact. But the people in 1316 01:02:54,600 --> 01:02:57,720 Speaker 1: the dairy industry are. That's why they're working hard every 1317 01:02:57,800 --> 01:03:00,240 Speaker 1: day to find new ways to reduce waste, consc serve 1318 01:03:00,320 --> 01:03:04,360 Speaker 1: natural resources, and drive down greenhouse gas emissions. House US 1319 01:03:04,440 --> 01:03:08,640 Speaker 1: dairy tackling greenhouse gases. 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