Latest / Daniel and Kelly’s Extraordinary Universe / Have we solved the black hole information paradox?
Transcript
- 0:08Speaker 1: Hey, Daniel, what's the best place in the universe to
- 0:11Speaker 1: hide something? Like? What do you want to hide? You know,
- 0:15Speaker 1: treasure or secrets anything. I guess you could tape it
- 0:18Speaker 1: to a rock and hide it in the asteroid belt
- 0:21Speaker 1: among millions of other rocks. Yeah that's pretty good. But
- 0:25Speaker 1: you know, technically somebody could still find it. Yeah, that's true.
- 0:28Speaker 1: I guess you could drop it in the sun. I
- 0:31Speaker 1: said hide it, not destroy it completely. All right, this
- 0:35Speaker 1: is pretty tricky. What if you put it into a
- 0:37Speaker 1: black hole? It depends can you wait like two zillion
- 0:41Speaker 1: years to get it back out again? But you mean
- 0:43Speaker 1: you can get things out of a black hole? Well,
- 0:45Speaker 1: you know, technically depends on the definition of out. But
- 0:48Speaker 1: if you want to throw a dictionary into the black hole,
- 0:52Speaker 1: everything comes back out except for the page that says out. Ye.
- 1:10Speaker 1: Hi am Jorge Immad, cartoonists and the creator of PhD Comics. Hi.
- 1:14Speaker 1: I'm Daniel. I'm a particle physicist, and sometimes I feel
- 1:17Speaker 1: like my mind has been thrown into a black hole.
- 1:20Speaker 1: Oh yeah, is it that nothing comes out of it?
- 1:22Speaker 1: That would be the case if my mind was a
- 1:24Speaker 1: black hole. But sometimes I feel like everything I've learned
- 1:26Speaker 1: has been slurped up and dropped into a black hole
- 1:29Speaker 1: because I can't remember any of it. It gets spaghettified.
- 1:31Speaker 1: And what if he eat spaghetti? What happens to spaghetti
- 1:34Speaker 1: when it gets spaghettified? It becomes spaghetti squared, becomes a
- 1:38Speaker 1: string theory maybe, but welcome to our podcast Daniel and
- 1:42Speaker 1: Jorge Explain the Universe, a production of I Heart Radio,
- 1:45Speaker 1: in which we tear our minds into little pieces of
- 1:48Speaker 1: spaghetti and then stretch those out into tiny little strings
- 1:51Speaker 1: in a vain and futile attempt to understand everything in
- 1:56Speaker 1: the universe. We take it all apart, we tear it
- 1:58Speaker 1: in a little bits, and we try to put it
- 2:00Speaker 1: back together in a way that we hope you can understand.
- 2:03Speaker 1: That's right, because it is a long and tasty universe
- 2:07Speaker 1: out there, with lots of mysteries and unknowns and exciting
- 2:11Speaker 1: things discover, and lots of different sauce options. You know. Actually,
- 2:15Speaker 1: I just realized they're spaghettini, right, and angel hairy pasta.
- 2:19Speaker 1: Although I don't know the difference. There must be a
- 2:21Speaker 1: whole spectrum, right, It's not like pasta is quantized. There
- 2:24Speaker 1: must be an infinite number of kinds of pasta. Well, eventually,
- 2:27Speaker 1: pasta is quantized. Everything is quantized eventually, right if you
- 2:30Speaker 1: get down to a single chain of pasta atoms, right,
- 2:33Speaker 1: nano pasta. Yeah, that's a whole new field of fabrication quarkinis.
- 2:39Speaker 1: But yeah, the universe is full of interesting and amazing things,
- 2:43Speaker 1: and none more so mysterious than black holes. That's right.
- 2:46Speaker 1: Black holes are these weird corners of the universe where
- 2:49Speaker 1: we think secrets lie. We suspect the solution to the
- 2:53Speaker 1: age old conflict between general relativity and quantum mechanics might
- 2:57Speaker 1: lie right at the heart of black holes. Of course,
- 3:00Speaker 1: nobody can see inside them, so it's incredibly frustrating to
- 3:04Speaker 1: think that the answers to some of our deepest questions
- 3:07Speaker 1: exist but are hidden from us. Does that drive physicist
- 3:10Speaker 1: bonkers to know that you know there are answers out there,
- 3:12Speaker 1: but maybe they're trapped in a place where they can
- 3:15Speaker 1: never get out. That's essentially the project of physics, right,
- 3:18Speaker 1: The answers are out there. The universe does contain these answers,
- 3:22Speaker 1: and if you can come up with the right experiment,
- 3:24Speaker 1: you can force the universe to reveal those truths. That's
- 3:27Speaker 1: basically how we accumulated all the knowledge that we do have.
- 3:31Speaker 1: But yeah, it's frustrating to think that there might be
- 3:33Speaker 1: places in the universe that nobody could ever look, where
- 3:36Speaker 1: information could hide forever, escaping from even our most clever
- 3:40Speaker 1: efforts to reveal them. You may get sound like physicists
- 3:43Speaker 1: are like paparazzis of the universe, Like you're trying to
- 3:46Speaker 1: catch the universe, you know, sunbathing in its supports or something.
- 3:51Speaker 1: I used to think of us as more like murder
- 3:53Speaker 1: mystery detectives, But yeah, paparazzi is a more positive way,
- 3:56Speaker 1: because the universe is beautiful. It deserves our attention. Positive. Yeah, yeah,
- 4:01Speaker 1: I guess they're surprised to being d universe. We're just
- 4:03Speaker 1: here trying to enjoy the beauty of the universe, you know,
- 4:06Speaker 1: and get its signature once in a while so we
- 4:08Speaker 1: can sell it on eBay and so to the National
- 4:10Speaker 1: Enquirer or Science magazine, you know, one of those two
- 4:14Speaker 1: whoever will take it. Is this part of the free
- 4:16Speaker 1: Brittany movement. I don't think there's a free universe movement
- 4:18Speaker 1: where they're like, hey, physicists, leave the universe alone. Keep
- 4:22Speaker 1: some of the mystery. You know, maybe doesn't want to
- 4:25Speaker 1: reveal its mysteries. You're being pushy. The mysteries are wonderful,
- 4:29Speaker 1: but the incredible part of this journey of physics is
- 4:32Speaker 1: that the truth is always more amazing and bonkers and
- 4:35Speaker 1: beautiful than we even possibly imagined, and so it's always
- 4:39Speaker 1: worth trying to dig into it and figure out what
- 4:41Speaker 1: the truth is. And so recently we've taken pictures of
- 4:44Speaker 1: black holes. You sort of know where they are, you
- 4:46Speaker 1: can see them gravitationally, and now we know what they
- 4:49Speaker 1: actually look like. But they still remain a pretty big mystery,
- 4:53Speaker 1: maybe even the biggest mystery we have in the universe, right,
- 4:56Speaker 1: that's right, And new mysteries keep popping up. You know.
- 4:58Speaker 1: Originally people were like, wow, our black holes real, and
- 5:01Speaker 1: then we discovered that they are actually out there and
- 5:03Speaker 1: that was kind of mind blowing. But then more questions
- 5:06Speaker 1: arose about them, and more questions and more questions, and
- 5:08Speaker 1: they're just like an endless playground for theorists to think
- 5:12Speaker 1: about what the universe means and and how it behaves
- 5:15Speaker 1: in really strange circumstances, and so they're continual source of
- 5:18Speaker 1: mystery and also opportunities to learn things about the universe,
- 5:22Speaker 1: because that's what mysteries are. They are ways for us
- 5:24Speaker 1: to unravel a thread and figure something out, right, because
- 5:28Speaker 1: I guess anything that happens in the universe tells us
- 5:30Speaker 1: a little bit about how the universe works, especially the
- 5:34Speaker 1: really extreme situations like black holes. Yeah, because we think
- 5:37Speaker 1: that the universe follows rules right there. There are physical
- 5:40Speaker 1: laws and everything in the universe always has to obey them.
- 5:44Speaker 1: Why that is is like a deep and fun question
- 5:47Speaker 1: in the philosophy of science, So check out some other
- 5:49Speaker 1: philosophy podcast for that. But the goal of physics is
- 5:52Speaker 1: to take advantage of that fact and say, let's find
- 5:54Speaker 1: opportunities where the things that happened reveal what the rules
- 5:57Speaker 1: must have been. You make It's not like we should
- 6:00Speaker 1: named the podcast Daniel to Daniel and Jorge Exposed the Universe.
- 6:04Speaker 1: That sounds a bit too risk, ay, And we're trying
- 6:07Speaker 1: to be family friendly here. So black holes are mysterious,
- 6:10Speaker 1: and there's sort of super extra mysterious. I feel like,
- 6:13Speaker 1: you know, I feel like there's not just kind of
- 6:15Speaker 1: the questions of what happens inside or what happens as
- 6:18Speaker 1: you go in, or how they can possibly exist in
- 6:21Speaker 1: the universe. But there's also sort of some very interesting
- 6:25Speaker 1: theoretical questions. Yeah, it's sort of weird that black holes
- 6:28Speaker 1: even exist. You know. One theory of physics say that
- 6:31Speaker 1: they can't exist, but they have to have certain properties,
- 6:34Speaker 1: and another theory of physics is that those properties are impossible.
- 6:37Speaker 1: So there's like a conflict at the heart of physics
- 6:40Speaker 1: between our idea of space and time, which is governed
- 6:44Speaker 1: by general relativity, and our idea of how the universe
- 6:46Speaker 1: works at the smallest scale, which is governed by quantum mechanics,
- 6:50Speaker 1: And those two disagree about what's going on inside a
- 6:52Speaker 1: black hole, whether black holes can live forever, and all
- 6:55Speaker 1: sorts of stuff, and so there are really fun mysteries there.
- 6:59Speaker 1: And so there's one mystery in particular that people have
- 7:01Speaker 1: been wondering about four decades about the stuff that goes
- 7:05Speaker 1: into the black hole. Yeah, and it seems like very
- 7:07Speaker 1: recently scientists have made some pretty um possibly interesting progress
- 7:13Speaker 1: towards solving one of these big mysteries. So have they been, um,
- 7:17Speaker 1: you know, parked outside their favorite coffee shop, you know,
- 7:19Speaker 1: just waiting to take those pictures the physics paparatti Exactly
- 7:24Speaker 1: when will that black hole finishes spa appointment. So to
- 7:27Speaker 1: the end the program, we'll be asking the question, have
- 7:35Speaker 1: we solved the black hole information paradox? I love that phrase,
- 7:40Speaker 1: black hole information paradox. It's got some poetry to it. Yeah,
- 7:44Speaker 1: it's a little too long for me. I kind of
- 7:46Speaker 1: struggled to get that one out. Black hole information paradox?
- 7:51Speaker 1: Have we solved it? That's the question? That's the question,
- 7:54Speaker 1: all right. So there's a paradox about black holes. It
- 7:56Speaker 1: involves information, and we think that maybe in their last
- 8:00Speaker 1: few months, maybe I physicists have solved this paradox. That's right.
- 8:03Speaker 1: It's a puzzle that's been outstanding for decades and to
- 8:07Speaker 1: one of those questions that people always thought, wow, if
- 8:10Speaker 1: you figure that out, then you're gonna learn something deep
- 8:12Speaker 1: about the universe. Or they imagine that maybe in a
- 8:15Speaker 1: hundred years somebody will know the answer to that. So
- 8:18Speaker 1: have some progress made on it to have people feel
- 8:20Speaker 1: like maybe they've even found the solution. It's a big deal, right,
- 8:24Speaker 1: And apparently recently something has happened, so people have appolished
- 8:28Speaker 1: the paper or they what happened? You know, there's been
- 8:31Speaker 1: a whole series of papers in this past year where
- 8:33Speaker 1: people have found a whole new way to attack this
- 8:35Speaker 1: problem and made what they thought was pretty exciting progress,
- 8:39Speaker 1: and some people even think that they may have solved it.
- 8:41Speaker 1: Oh interesting. They found a new method of attack, yes, exactly,
- 8:46Speaker 1: a new theoretical way to attack black holes, without of course,
- 8:50Speaker 1: actually going over there and measuring anything. All right, Well,
- 8:53Speaker 1: as usual, we were wondering how many people out there
- 8:55Speaker 1: had heard about the black hole information paradox, or that
- 8:58Speaker 1: they might have found a solution in for it. So
- 9:01Speaker 1: Daniel went out there into the wilds of the internet
- 9:03Speaker 1: to ask folks, what is the solution to the black
- 9:06Speaker 1: hole information paradox? That's right, So thanks to everybody who
- 9:10Speaker 1: volunteered their minds and their time. If you would like
- 9:12Speaker 1: to participate for a future episode, please do not be shy.
- 9:16Speaker 1: Right to me two questions at Daniel and Jorge dot com.
- 9:19Speaker 1: It's fun. Here's what people had to say. I don't
- 9:22Speaker 1: even know of a paradox information wise in black holes,
- 9:26Speaker 1: so um, I don't have the solution. I'm very sorry.
- 9:31Speaker 1: I believe it is that all the information is imprinted
- 9:35Speaker 1: on the surface like a that's what they call it,
- 9:39Speaker 1: a hologram. And some series actually said that how your
- 9:42Speaker 1: whole universe could be something like that. The paradox is
- 9:45Speaker 1: about what happens to information that gets sucked into a
- 9:48Speaker 1: black hole. I think what happens is that it gets
- 9:52Speaker 1: stored at the event horizon of the black hole, more
- 9:55Speaker 1: like black hole disinformation coles are trying to trick us. Well,
- 10:02Speaker 1: I guess this one refers to the fact that information
- 10:05Speaker 1: can get sucked into the into a black hole and
- 10:09Speaker 1: then you cannot get access to it anymore. Um but
- 10:13Speaker 1: ultimate information is just hidden in the black hole and
- 10:16Speaker 1: they destroyed it. So maybe the solution is that there's
- 10:21Speaker 1: no paradox after all. I don't think I know the
- 10:23Speaker 1: answer to the black hole information paradox, but I do
- 10:26Speaker 1: know that information can't be destroyed, so it's got to
- 10:30Speaker 1: be in the black hole somewhere. How that information gets extracted,
- 10:33Speaker 1: I'm not exactly sure. It sounds lucky. It's something to
- 10:36Speaker 1: do with Obviously, nothing can ever leave a black hole. Um,
- 10:41Speaker 1: but Hawking radiation says that, um, if left a lot
- 10:45Speaker 1: of nothing else goes into it, eventually they could evaporate
- 10:48Speaker 1: into nothing. Um that sounds pretty paradoxical to be so.
- 10:52Speaker 1: I had seen that a solution had been found recently
- 10:56Speaker 1: or in the past year or so, But apparently it's
- 10:59Speaker 1: something and going in leaves an imprint on the event horizon,
- 11:04Speaker 1: which somehow is represented in the radiation in the Hawking radiation.
- 11:10Speaker 1: But that kind of seems wrong because of the uh
- 11:14Speaker 1: no hair theorem. I mean, I think that's the gist
- 11:18Speaker 1: of it. I have heard of the black hole information paradox,
- 11:23Speaker 1: but I'm not sure exactly what it is. I believe
- 11:26Speaker 1: it is related to Hawkings radiation. Well, I suppose I
- 11:30Speaker 1: would ask why does it need to be conserved in
- 11:33Speaker 1: the first place? So why would it information disappearing be
- 11:38Speaker 1: such a problem. Perhaps it's not a problem at all,
- 11:41Speaker 1: especially if information seems to be created as new space
- 11:46Speaker 1: is created. Maybe it's not a problem that information goes
- 11:50Speaker 1: away when it enters a black hole. All right. Not
- 11:52Speaker 1: a lot of people had heard of this, you know,
- 11:54Speaker 1: a lot of good speculation, but yeah, no concrete answers there,
- 11:58Speaker 1: and some people seem to know what it is though.
- 12:01Speaker 1: That's pretty impressive. Yeah, well, we covered it on an
- 12:03Speaker 1: episode dug deep into the nature of this paradox about
- 12:06Speaker 1: information and black holes. Though I guess our listeners have
- 12:09Speaker 1: done their homework Apparently our episode didn't fall into a
- 12:12Speaker 1: black hole. It actually made it to people's spaghetti places.
- 12:16Speaker 1: It fell into people's ear holes. Yeah, all right, Daniel
- 12:19Speaker 1: will step us through this. Then let's start with what
- 12:21Speaker 1: it is first. What is the black hole information paradox.
- 12:25Speaker 1: This is a really fun concept because it brings together
- 12:28Speaker 1: these two different theories, general relativity, which tells us something
- 12:31Speaker 1: about black holes, and quantum mechanics, which tells us something
- 12:34Speaker 1: about information. So we start with general relativity because that's
- 12:38Speaker 1: where black holes come from. General relativity tells us, you know,
- 12:42Speaker 1: how space is curved in the presence of mass and
- 12:44Speaker 1: stuff like that, and it's sort of the genesis of
- 12:46Speaker 1: black holes, right there are this place in space where
- 12:49Speaker 1: no information can escape. Anything that falls past the event
- 12:53Speaker 1: horizon should be inside the event horizon forever until the
- 12:57Speaker 1: end of the universe. And you can't know anything out
- 13:00Speaker 1: what's inside the black hole other than the total mass
- 13:04Speaker 1: of the black hole, whether it's spinning, and whether it
- 13:07Speaker 1: has electric charge. Everything else is hidden from you. So
- 13:10Speaker 1: anything that's going on inside the black hole, you can't
- 13:13Speaker 1: know anything about it because that would be allowing you
- 13:15Speaker 1: to get information out of the black hole. This is
- 13:18Speaker 1: called the no hair theorem, tells you that's a very
- 13:22Speaker 1: limited amount of information you can have about a black hole.
- 13:25Speaker 1: So that means that if your friend threw a banana
- 13:27Speaker 1: into the black hole, you couldn't tell that it was
- 13:30Speaker 1: banana instead of an apple. You can only measure the
- 13:32Speaker 1: mass that they threw into the black hole. Right, That's
- 13:35Speaker 1: an interesting concept because I guess, you know, maybe we're
- 13:38Speaker 1: all used to the idea that black holes can sort
- 13:41Speaker 1: of things, and things can't get out, not even light,
- 13:44Speaker 1: But that also I guess applies to information itself. You know,
- 13:47Speaker 1: if light can't get out, then really nothing can get out,
- 13:50Speaker 1: not even like ones and zeros or you know, just anything. Right.
- 13:54Speaker 1: That's right, because we live in a physical universe and
- 13:56Speaker 1: information has to be represented physically. So to get information
- 14:00Speaker 1: from one place to another, you have to send a message,
- 14:02Speaker 1: which means like a particle or a wave of some
- 14:04Speaker 1: kind of physical thing. So if no physical thing can
- 14:07Speaker 1: cross that boundary, then no information can get out technically,
- 14:11Speaker 1: then you can gravitational waves escape a black hole. Gravitational
- 14:14Speaker 1: waves cannot escape a black hole, but a black hole
- 14:17Speaker 1: itself can create gravitational waves. But when it creates it
- 14:20Speaker 1: isn't it sort of like sending a signal out. Now,
- 14:22Speaker 1: that's just the information about the black hole itself. Like
- 14:25Speaker 1: you can know the mass the black hole from the outside,
- 14:28Speaker 1: and a gravitational wave is just a change in like
- 14:31Speaker 1: the location of a mass. And so you can know
- 14:34Speaker 1: about where a black hole is and what mass it
- 14:36Speaker 1: has and how it's moving, and that motion can generate
- 14:38Speaker 1: gravitational waves without knowing anything about what's going on inside
- 14:42Speaker 1: the black hole. All right, So that's a general relativity.
- 14:44Speaker 1: And then how does quantum mechanics figure into it. Well,
- 14:47Speaker 1: quantum mechanics says something really important and powerful about information.
- 14:51Speaker 1: It says that you can always reconstruct the past of
- 14:54Speaker 1: our universe based on what's going on right now. It's
- 14:58Speaker 1: sort of like a post addiction. It says, if you
- 15:00Speaker 1: could scan the universe finally enough, you could figure out
- 15:03Speaker 1: what has happened. It's sort of like saying, if I
- 15:06Speaker 1: burn a book, then you should be able to from
- 15:09Speaker 1: the ashes and the smoke and everything that comes out
- 15:11Speaker 1: of it later tell me exactly what that book was.
- 15:14Speaker 1: That all the information from that book is still somehow
- 15:17Speaker 1: imprinted in the universe, even if sort of scattered now
- 15:20Speaker 1: and harder to reconstruct, right does it kind of related
- 15:23Speaker 1: to that idea that we've talked about before, which is
- 15:25Speaker 1: the idea of cost and effect. Like if a particle
- 15:28Speaker 1: does this and it affects another particle, and that particle
- 15:31Speaker 1: affects another particle, you can always backtrack kind of what happened.
- 15:34Speaker 1: That information is not lost, like what one particle does
- 15:37Speaker 1: to another particle they remember, right, yeah, exactly. That information
- 15:41Speaker 1: is not lost. And our present state of the universe
- 15:43Speaker 1: is unique, right, it maps back to a single past.
- 15:46Speaker 1: You can't have two different pasts that produce the same
- 15:49Speaker 1: present because then you wouldn't be able to tell which
- 15:52Speaker 1: was which. And so you have all the information you
- 15:54Speaker 1: need in the present to reconstruct the past. And this
- 15:57Speaker 1: is a really deep and powerful important thing and quantum
- 16:00Speaker 1: mechanics like that's at the basis of quantum mechanics. It's
- 16:03Speaker 1: called unitarity. And if we didn't have it, if it
- 16:06Speaker 1: wasn't true, then we would have to question like quantum
- 16:09Speaker 1: mechanics itself and come up with another theory. So it's
- 16:11Speaker 1: like something every physicist out there believes is true about
- 16:15Speaker 1: the universe. The information is not lost because when you
- 16:18Speaker 1: think clancal mechanics is pretty real. We think it's pretty real.
- 16:21Speaker 1: We've tested it pretty well. We tested all day every
- 16:24Speaker 1: day at the Large Hadron Collider and in lots of
- 16:26Speaker 1: other different ways, so we're pretty sure it's true. Although,
- 16:30Speaker 1: you know, black holes are an extreme situation, so maybe
- 16:33Speaker 1: something gets broken. You never know. That's kind of where
- 16:36Speaker 1: the paradox part comes in, right, there's a paradox about
- 16:40Speaker 1: what happens between these two concepts of the universe inside
- 16:43Speaker 1: of a black hole exactly, because you might ask, well,
- 16:46Speaker 1: what happens to the information about my banana if I
- 16:49Speaker 1: throw my banana into the black hole and now it's
- 16:52Speaker 1: inside the black hole and I can't learn anything about it,
- 16:54Speaker 1: where is that information? Well, general relativity says black holes
- 16:58Speaker 1: live forever, and so that's a problem. The information is
- 17:01Speaker 1: still inside a black hole. It was just sort of
- 17:04Speaker 1: stuck there. And that's okay, except that we don't think
- 17:08Speaker 1: that black holes live forever. We think, thanks to Hawking radiation,
- 17:12Speaker 1: that black holes are not actually black. They give off
- 17:14Speaker 1: a little bit of radiation, they glow a tiny little bit,
- 17:18Speaker 1: and when they do that, they lose their mask because
- 17:21Speaker 1: they're giving off energy, So they get smaller and smaller
- 17:24Speaker 1: as it's called black hole evaporation, and eventually they disappear.
- 17:28Speaker 1: And so if your information about your banana was inside
- 17:31Speaker 1: the black hole and then the black hole evaporates, where's
- 17:34Speaker 1: the information? Did it disappear from the universe, you know?
- 17:38Speaker 1: Or did it somehow get leaked out in the Hawking radiation?
- 17:41Speaker 1: Is there a smell of banana once a black hole evaporations?
- 17:45Speaker 1: Is it in the air now? Stephen Hawking did a
- 17:48Speaker 1: really careful and sort of famous calculation where he showed
- 17:51Speaker 1: that the radiation itself has no information about anything inside
- 17:55Speaker 1: the black hole, only about the mass of the black hole.
- 17:57Speaker 1: So like, you can't tell what was inside the black
- 18:00Speaker 1: hole based on the Hawking radiation. So that's sort of
- 18:03Speaker 1: a mystery. Like the black hole disappears and the Hawking
- 18:06Speaker 1: radiation has just basically noise in it, So like, where
- 18:09Speaker 1: is the pattern for my banana? And that's the paradox
- 18:13Speaker 1: I see. The paradox is that it seems like information
- 18:16Speaker 1: hits the end of the road in a black hole,
- 18:19Speaker 1: whereas quantum mechanics would have you believed that it never
- 18:22Speaker 1: ends exactly, So somebody must be wrong, right, If information
- 18:26Speaker 1: is lost, then quantum mechanics is wrong, and that really
- 18:30Speaker 1: weakens the foundations of physics. If the information somehow escapes,
- 18:34Speaker 1: then that violens general relativity. Right, that's like information leaving
- 18:38Speaker 1: a black hole. How can that possibly happen? So it's
- 18:41Speaker 1: a super fascinating like sort of test bed to crash
- 18:43Speaker 1: these two theories together and say, well, you know, it's
- 18:46Speaker 1: like a cage match. Two theories go in and only
- 18:48Speaker 1: one comes out, and it depends on what happens next. Right, Yes, exactly,
- 18:53Speaker 1: it depends on what happens. No, No, I really have
- 18:56Speaker 1: a headache now. It feels like the Grandfather paradox, Like
- 18:59Speaker 1: if you put two theories into the black hole, but
- 19:02Speaker 1: only one of them can come out, but then the
- 19:04Speaker 1: black hole evaporates. What happens one of them is left
- 19:07Speaker 1: eating spaghetti? Yeah, the the Avengers movie maybe, And our
- 19:13Speaker 1: podcast episode about this, we talked about a few possible solutions.
- 19:16Speaker 1: You know. Hawking himself famously said that he thought information
- 19:19Speaker 1: was lost, that it just disappeared from the universe. But
- 19:22Speaker 1: most physicists don't believe that. Most physicists think that must
- 19:25Speaker 1: be wrong. That information is not lost. We just have
- 19:28Speaker 1: to figure out how it leaks out and So the
- 19:31Speaker 1: most popular theory until last year, until this recent progress
- 19:34Speaker 1: was made, was that maybe somehow there is information in
- 19:38Speaker 1: the Hawking radiation because the black hole surface is not
- 19:41Speaker 1: entirely smooth, like when you throw your banana onto the
- 19:44Speaker 1: black hole, maybe it gets like stretched out over the
- 19:47Speaker 1: event horizon but doesn't actually make a perfect sphere, and
- 19:50Speaker 1: that those little wiggles in the event horizons somehow contain
- 19:53Speaker 1: the information and influence the Hawking radiation. That was sort
- 19:56Speaker 1: of the direction people were going until recently interest ing.
- 20:01Speaker 1: So maybe you figure it out. Who comes out of
- 20:03Speaker 1: the cage? All right, Well, let's get into what this
- 20:07Speaker 1: potential solution is to the black hole information paradox and
- 20:11Speaker 1: most important, what does it mean. But first, let's take
- 20:13Speaker 1: a quick break. All right, we're talking about the black
- 20:28Speaker 1: hole information paradox and a potential solution to this paradox. Now, Daniel,
- 20:34Speaker 1: I guess maybe I'm having some trouble understanding why it's
- 20:37Speaker 1: a paradox, Like, you know, why can it be that,
- 20:41Speaker 1: for example, quantum mechanics does allow energy to always be
- 20:45Speaker 1: preserved except at a black hole, which is sort at
- 20:48Speaker 1: the end of the line, Do you know what I mean? Like,
- 20:50Speaker 1: why does it need to work everywhere and all the time. Well,
- 20:53Speaker 1: it really only means something if it works everywhere. You know,
- 20:56Speaker 1: momentum conservation is always meaningful if it's always conserved. You
- 20:59Speaker 1: know You're rules in your household are only meaningful if
- 21:01Speaker 1: your kids always follow them. Otherwise you know, what do
- 21:04Speaker 1: they even mean? So this is a bed robed principle
- 21:07Speaker 1: of quantum mechanics, and to have an exception at black
- 21:10Speaker 1: holes means there might be an exception somewhere else. And
- 21:12Speaker 1: basically it means it's not a foundational principle of quantum
- 21:15Speaker 1: mechanics that like information can disappear, stuff can be deleted
- 21:18Speaker 1: from the universe and you can have no record of
- 21:21Speaker 1: it ever having existed. That would just be a pretty
- 21:24Speaker 1: different universe from the one we thought we lived in.
- 21:26Speaker 1: Would be a catastrophe. We just have to figure out
- 21:28Speaker 1: some new theory that accommodates that, and a lot of
- 21:31Speaker 1: the assumptions we've been making would be wrong. So that's
- 21:34Speaker 1: kind of cool. That's like we say on this podcast
- 21:36Speaker 1: all the time, it would be awesome to knock down
- 21:39Speaker 1: a basic tenant of physics and discover something new. It's
- 21:42Speaker 1: just that that's a pretty big tenant, and so we're
- 21:45Speaker 1: pretty skeptical. You're pretty skeptical that there might be exceptions exactly.
- 21:50Speaker 1: I mean, it goes right back to the shorting or equation.
- 21:52Speaker 1: You know, the shorting or equation is unitary. It says
- 21:55Speaker 1: that probability is conserved. If you have a certain amount
- 21:57Speaker 1: of probability, it has to go somewhere, It doesn't just disappear.
- 22:01Speaker 1: And so that would be kind of weird but also fascinating,
- 22:04Speaker 1: like that would be a really interesting place to live,
- 22:06Speaker 1: and it wouldn't be the first time in the history
- 22:08Speaker 1: of physics that the universe was totally different in a
- 22:10Speaker 1: really basic way than the one we imagine. So we're
- 22:13Speaker 1: definitely keeping our minds open to that, but considering other
- 22:16Speaker 1: possibilities also, Right, all right, well, you say, one potential
- 22:20Speaker 1: solution is that maybe the black hole is sort of
- 22:23Speaker 1: leaking information when it evaporates like that somehow the evaporating
- 22:27Speaker 1: particles somehow carry away some of the information about the
- 22:30Speaker 1: black hole. That seems like a pretty good solution. But
- 22:33Speaker 1: what's the problem with that idea. Problem with that idea
- 22:36Speaker 1: of the event horizon not actually being smooth is that
- 22:39Speaker 1: then the information doesn't really go into the black hole.
- 22:42Speaker 1: It's just like stuck on the outside of the event
- 22:44Speaker 1: horizon so that it can radiate out, but then it
- 22:47Speaker 1: doesn't actually go into the black hole. So then you
- 22:49Speaker 1: need this like weird firewall, this like region where nothing
- 22:53Speaker 1: can actually go. Then like what's actually in the black hole? Right? Nothing?
- 22:58Speaker 1: That's sort of weird and require is this really strange
- 23:01Speaker 1: boundary that people can't really make sense of. The Other
- 23:04Speaker 1: problem with that is that it's hard to reconcile because
- 23:06Speaker 1: remember there's two ways to think about things falling into
- 23:09Speaker 1: a black hole. One from the outside when you're watching,
- 23:12Speaker 1: and you can never actually see the thing fall in
- 23:14Speaker 1: because of the gravitational time dilation. It takes infinite time
- 23:18Speaker 1: to fall in. You never actually see it fall in.
- 23:20Speaker 1: But the other point of view is from the point
- 23:22Speaker 1: of view of the thing falling in, and that just
- 23:24Speaker 1: passes right through the event horizon and heads to the singularity.
- 23:27Speaker 1: So it doesn't really make sense from the point of
- 23:29Speaker 1: view of the thing falling in for things to be
- 23:32Speaker 1: stuck on the event horizon. So it's not really a
- 23:35Speaker 1: workable solution, all right, I guess I mean trouble understanding
- 23:39Speaker 1: why exactly are you saying that you can have when
- 23:42Speaker 1: it evaporates, it can be sort of both coming out
- 23:46Speaker 1: and coming in at the same time. That's weird. Well,
- 23:48Speaker 1: it either needs to fall into the black hole or not, right,
- 23:51Speaker 1: And if it's information is encoded on the outside of
- 23:54Speaker 1: the event horizon, that means it hasn't really fallen into
- 23:57Speaker 1: the black hole. It's something like we're preventing it from
- 24:00Speaker 1: falling into the black hole. So then you need this
- 24:02Speaker 1: other thing, this firewall, preventing it. But we don't understand
- 24:06Speaker 1: what that would be or why that would be, and
- 24:08Speaker 1: it contradicts our view that you can fall into a
- 24:10Speaker 1: black hole from the point of view of the thing
- 24:12Speaker 1: falling in. So you need some whole other like idea
- 24:15Speaker 1: of what a black hole is to make that work.
- 24:17Speaker 1: So is this whole idea of evaporation theoretical or something
- 24:21Speaker 1: we understand thoroughly. Evaporation is not something we understand thoroughly,
- 24:25Speaker 1: and it is theoretical. Like, nobody's ever actually seen Hawking radiation,
- 24:30Speaker 1: So we say that black holes are not totally black,
- 24:32Speaker 1: but we've never actually seen one radiate anything. So this
- 24:35Speaker 1: is purely theoretical, and you know, it's an approximation like
- 24:39Speaker 1: Hawking did these calculations, but we don't really have a
- 24:41Speaker 1: theory to back them up. Like we have general relativity,
- 24:44Speaker 1: we have quantum mechanics, we don't have a theory of
- 24:47Speaker 1: quantum gravity when the combines the two, and that's really
- 24:50Speaker 1: what you need when things get both really really small
- 24:53Speaker 1: and really powerful gravitationally. Currently, we can do quantum mechanics
- 24:57Speaker 1: by ignoring gravity because gravity is very very small for
- 25:00Speaker 1: little particles that are affected by quantum mechanics. And when
- 25:03Speaker 1: we do gravity calculations we can ignore quantum mechanics because
- 25:06Speaker 1: quantum mechanical effects are small for the kinds of things
- 25:09Speaker 1: where we do get gravity calculations that are pretty big.
- 25:11Speaker 1: So inside black holes, we think you need a new
- 25:14Speaker 1: theory quantum gravity. Stephen Hawking didn't have this theory, but
- 25:17Speaker 1: it is sort of like a hand wavy calculation where
- 25:20Speaker 1: added a little bit of quantum mechanics to gravity, and
- 25:22Speaker 1: he came up with this calculation. But no, we've never
- 25:25Speaker 1: seen Hawking radiation, so we don't know that it's actually real.
- 25:28Speaker 1: I see. So when you say that the large Hadron
- 25:31Speaker 1: collider is producing black holes, but not to worry about it,
- 25:33Speaker 1: because they just evaporate. That's are you're saying. That's just
- 25:38Speaker 1: a big maybe there because Stephen Hawking sort of fudgeted. Yeah,
- 25:42Speaker 1: but the other half of that calculation that it would
- 25:44Speaker 1: be producing black holes relies on the same calculation. So
- 25:47Speaker 1: if we're producing them, then they are also evaporating. Oh,
- 25:50Speaker 1: I see, all right, so maybe it's not producing black holes.
- 25:54Speaker 1: I see, yeah, exactly. All right, Well then so that
- 25:57Speaker 1: doesn't work the idea that information can can leak out
- 26:00Speaker 1: through Hawking radiation. But now there's maybe a new theory
- 26:04Speaker 1: that could explain this paradox of what happens to the
- 26:06Speaker 1: information that goes into the black hole. And the approach
- 26:09Speaker 1: here is to add more quantum mechanics to the calculation,
- 26:12Speaker 1: to think, like, let's make this more quantum mechanical. Let's
- 26:14Speaker 1: add another concept and maybe they'll give us some insight.
- 26:18Speaker 1: And one that's been really appealing for getting information from
- 26:21Speaker 1: one place to the other is the idea of quantum entanglement.
- 26:24Speaker 1: We talk about this on the podcast, that two particles,
- 26:27Speaker 1: if they have a shared history, can have their fates intertwined.
- 26:30Speaker 1: Like if you have a particle with no spin and
- 26:32Speaker 1: it makes two particles that do have spin then those
- 26:35Speaker 1: spins have to be opposite in order to balance. Right,
- 26:37Speaker 1: you start out with zero spin have to end up
- 26:39Speaker 1: with zero spin. Quantum mechanics says that those two particles,
- 26:42Speaker 1: whether they're spin up or down, is not actually determined
- 26:45Speaker 1: until you measure one of them, So they're entangled even
- 26:48Speaker 1: if they're far away from each other in the universe.
- 26:51Speaker 1: So if one is created on Earth and the other
- 26:53Speaker 1: one is now sent out into space and they're kilometers apart,
- 26:56Speaker 1: and when you measure one of them, it determines the
- 26:58Speaker 1: spin at the other because they have to be opposite.
- 27:01Speaker 1: So that's cool because it feels sort of like a
- 27:03Speaker 1: way to get information from one place to another without
- 27:07Speaker 1: actually sending a message, right. It feels sort of like
- 27:10Speaker 1: this non local information transfer that you might want to
- 27:13Speaker 1: get information out of a black hole. Oh, I see,
- 27:16Speaker 1: So is the idea that then when something falls into
- 27:18Speaker 1: the black hole, it's actually entangled with something else outside
- 27:21Speaker 1: of it. Exactly. That's sort of the basis of the idea.
- 27:24Speaker 1: Before we dig into a little bit more, I just
- 27:26Speaker 1: want to add a caveat that for quantum entanglement, you
- 27:28Speaker 1: can't actually use entanglement to send information. You need also
- 27:33Speaker 1: some other sort of mechanism. And a lot of people
- 27:35Speaker 1: think that quantum entanglement is a way to send information
- 27:38Speaker 1: faster than the speed of light. But you can't do that.
- 27:40Speaker 1: But there is an important way that we need to
- 27:42Speaker 1: think about entanglement in order to attack this black hole
- 27:45Speaker 1: information paradox problem, and that's the Hawking radiation. Remember, Hawking
- 27:49Speaker 1: radiation is created when you have a particle antiparticle pair
- 27:52Speaker 1: created just outside the event horizon. One of them falls
- 27:55Speaker 1: in idea, another one flies out, which is the Hawking radiation.
- 27:58Speaker 1: If those two were created together, then they are entangled.
- 28:02Speaker 1: So now this Hawking radiation is somehow entangled with the
- 28:04Speaker 1: particle inside the black hole. And that's fascinating because it
- 28:09Speaker 1: tells you that, like maybe there's information there. Somehow, the
- 28:12Speaker 1: Hawking radiation has information about what's inside the black hole.
- 28:16Speaker 1: It's like at the moment of creation, it puts a
- 28:19Speaker 1: little bit of information into the black hole, but it
- 28:21Speaker 1: also takes away some information with it in the evaporation. Yeah,
- 28:25Speaker 1: and it doesn't contradict Hawking calculation. It says, look by itself,
- 28:29Speaker 1: the Hawking radiation, these particles that fly on from the
- 28:31Speaker 1: black hole, they don't have any information. You can't look
- 28:34Speaker 1: at them and tell what was inside the black hole,
- 28:36Speaker 1: but there might be some correlations there. There might be
- 28:39Speaker 1: some relationships between the Hawking radiation and what is inside
- 28:43Speaker 1: the black hole. And you can't tell what's inside the
- 28:46Speaker 1: black hole just by looking at the Hawking radiation, but
- 28:48Speaker 1: might be hidden in there. It's sort of like encrypted, right.
- 28:52Speaker 1: It's like if somebody can see how the computer represents
- 28:54Speaker 1: your password, but they don't actually know what your password is. Right,
- 28:57Speaker 1: they can just see those little dots on the screen
- 29:00Speaker 1: your pathwords in there, but you can't see it. So
- 29:03Speaker 1: maybe this information is in the Hawking radiation. It is
- 29:06Speaker 1: just sort of like encrypted by quantum entanglement. Interesting, but
- 29:10Speaker 1: that applies to the particle that gets evaporated and that
- 29:13Speaker 1: comes out. But what about my banana that I threw in?
- 29:15Speaker 1: What happens to my banana information? Oh, that's a good question.
- 29:19Speaker 1: What happens to your banana information? Well, your banana has
- 29:21Speaker 1: a quantum history, and so it is entangled with you,
- 29:25Speaker 1: who threw it in, and so it's much harder to
- 29:27Speaker 1: talk about quantum mechanics and macroscopic objects like bananas. But
- 29:31Speaker 1: in principle, your banana is entangled with you, and so
- 29:34Speaker 1: even if you throw it into the black hole, it's
- 29:36Speaker 1: information is still connected to you somehow, Like I still
- 29:40Speaker 1: remember the banana. Is what you're saying exactly, you are
- 29:43Speaker 1: the hawking radiation. In that case, my dear memories of
- 29:47Speaker 1: that banana are somehow still preserving the information about in
- 29:52Speaker 1: the years. Is that true? Is that kind of what
- 29:54Speaker 1: this new solution is about. It's just that you know,
- 29:57Speaker 1: everything is entangled with each other and so you never
- 29:59Speaker 1: really lo is it when it goes into the black hole?
- 30:01Speaker 1: Is that the basic outline of the solution. That's not
- 30:03Speaker 1: the solution. It's another way to look at the problem
- 30:06Speaker 1: because it doesn't actually solve the problem. It just sort
- 30:08Speaker 1: of restates it. But it restates in a way that
- 30:10Speaker 1: we then can attack. And here's why it's not actually
- 30:13Speaker 1: a solution to the problem. Think about what happens as
- 30:15Speaker 1: the black hole evaporates. As the black hole gets smaller
- 30:18Speaker 1: and smaller, you have all this hawking radiation that was
- 30:20Speaker 1: created entangled with stuff inside the black hole. But now
- 30:24Speaker 1: the black hole is disappearing, So where is that entanglement going.
- 30:27Speaker 1: Then the hawking radiation is like entangled with something that
- 30:30Speaker 1: has disappeared, and so you sort of have the same problem, right,
- 30:34Speaker 1: it's just sort of stated in a different way. So
- 30:37Speaker 1: what we need is a way to figure out how
- 30:39Speaker 1: entanglement for a black hole can start at zero, and
- 30:42Speaker 1: then during the black hole's lifetime it can grow. As
- 30:45Speaker 1: it's evaporating, it's giving off Hawking radiation, which is now
- 30:48Speaker 1: getting entangled with the stuff inside of it somehow. Then
- 30:51Speaker 1: that entanglement has to get back down to zero. All
- 30:54Speaker 1: those entanglements have to get broken or somehow resolved before
- 30:58Speaker 1: the black hole evaporates. So that's this newer way of
- 31:01Speaker 1: looking at the problem. This way that one of Hawking students,
- 31:03Speaker 1: Don Page came up with, and that's sort of the
- 31:05Speaker 1: crevice that these new groups attacked in order trying to
- 31:08Speaker 1: figure out what's going on. Oh I see it is
- 31:11Speaker 1: that like I'm entangled to my banana. I remember it fondly.
- 31:15Speaker 1: I remember the curvature and the just how many spots
- 31:18Speaker 1: and how sweet it was, Oh banana, I eat eu well.
- 31:21Speaker 1: And so then the banana goes into the black hole.
- 31:24Speaker 1: Inside the black hole, it gets entangled with particles being evaporated,
- 31:28Speaker 1: which means that the you know, evaporating particle that comes
- 31:31Speaker 1: out is somehow entangled to the banana which was entangled
- 31:35Speaker 1: to me. Yeah, Or more directly, if you throw it
- 31:38Speaker 1: into the black hole, you are still entangled with that banana.
- 31:41Speaker 1: You don't need hawking radiation for that. But then your
- 31:43Speaker 1: information about the bananas somehow in the black hole, right,
- 31:47Speaker 1: and then as the black hole is evaporating, you wonder,
- 31:50Speaker 1: like what happens to that entanglement? Instead of thinking about
- 31:53Speaker 1: like this information stuck inside the black hole, think about
- 31:56Speaker 1: in terms of the entanglement, how can I be entangled
- 31:58Speaker 1: with something which is then just appearing. Where does that
- 32:01Speaker 1: entanglement go? Does the entanglement and gets passed onto the
- 32:05Speaker 1: evaporating particle? Is that the idea? That's the question, right,
- 32:08Speaker 1: how do you somehow go from having entanglement to getting
- 32:11Speaker 1: zero entanglement? Like, the black hole is definitely creating entangled
- 32:15Speaker 1: pairs because things are falling into the black hole and
- 32:17Speaker 1: they are entangled with whatever they came from hawking radiation
- 32:21Speaker 1: or Jorge throwing a banana, And the question is then
- 32:24Speaker 1: how do you get a black hole to break those
- 32:26Speaker 1: entanglements somehow? All right, so then it's somehow preserved and
- 32:30Speaker 1: so what's been the progress in the last year. So
- 32:33Speaker 1: a bunch of smart young theories attack this problem and
- 32:36Speaker 1: they came up with a new way to do this calculation. See,
- 32:38Speaker 1: the problem is that nobody knows even how to calculate
- 32:41Speaker 1: this entanglement. Like we say, entanglement has a start from
- 32:44Speaker 1: zero for a black hole, that it has to grow,
- 32:46Speaker 1: that it has to come back down to zero. Problem is,
- 32:48Speaker 1: we don't have a theory of quantum gravity, so we
- 32:50Speaker 1: don't understand how to calculate entanglement, which is a quantum concept,
- 32:54Speaker 1: in the environment of a black hole, which is a
- 32:56Speaker 1: gravitational concept. So until now, nobody even knew like how
- 32:59Speaker 1: do we calculate this thing. We know it has to
- 33:01Speaker 1: start a zero, go up and come down, but we
- 33:03Speaker 1: don't know how to calculate it. So what they did
- 33:05Speaker 1: is they came up with a clever new approach theoretically
- 33:07Speaker 1: to do this calculation. And if you read their papers,
- 33:10Speaker 1: it's like a bunch of crazy mathematical tricks they do.
- 33:14Speaker 1: They take the problem, they transform into something else and
- 33:16Speaker 1: they apply this tool and they put in wormholes and
- 33:18Speaker 1: they do this calculation. It's like a real like tourtive
- 33:22Speaker 1: force of mathematical tricks. And what they've done is they
- 33:26Speaker 1: figured out a way to sort of calculate the entanglement
- 33:29Speaker 1: of this black hole over its lifetime. And in their calculation,
- 33:33Speaker 1: they see the entanglement going up, peeking, and then coming
- 33:37Speaker 1: back down. Interesting, what do you mean they put in
- 33:39Speaker 1: some wormholes. You can just do that. You can sprinkle
- 33:41Speaker 1: in some wormholes. Yeah, exactly. They use wormholes as just
- 33:46Speaker 1: a sort of a way to do these calculations. You know,
- 33:49Speaker 1: sometimes you attack a math problem, you don't know how
- 33:51Speaker 1: to do it, so you transform it into something else.
- 33:54Speaker 1: And so what they did is they transformed the problem
- 33:56Speaker 1: from one kind of problem into another one where they
- 33:58Speaker 1: could use wormholes that they knew how to calculate. I
- 34:01Speaker 1: don't know how to integrate this thing, but I'll transform
- 34:03Speaker 1: into this other thing that I do know how to integrate.
- 34:05Speaker 1: There's a lot of details there about how they did
- 34:07Speaker 1: this calculation. For example, nobody knows how to calculate entanglement
- 34:12Speaker 1: in four dimensional space with gravity. So they did two things.
- 34:15Speaker 1: When they said, well, let's just take it down a
- 34:17Speaker 1: couple of notches and think about, you know, two dimensional
- 34:20Speaker 1: black holes instead of four dimensional black holes. Does that
- 34:23Speaker 1: mean that you have to assume that there are wormholes
- 34:25Speaker 1: inside of the black hole. These wormholes are more of
- 34:28Speaker 1: a mathematical trick than actual physical wormholes. But in a
- 34:31Speaker 1: minute we could talk about what the solution means and
- 34:33Speaker 1: whether they're actually are wormholes connecting the inside of the
- 34:37Speaker 1: black hole to the outside. But for now, just think
- 34:39Speaker 1: of a sort of a mathematical trick that they did
- 34:41Speaker 1: in order to get to a number. And the thing
- 34:44Speaker 1: to understand about this calculation is like, they don't understand
- 34:48Speaker 1: how the information is getting out. It's not like they
- 34:50Speaker 1: found some mechanism where they're like, oh, look, here's some
- 34:52Speaker 1: little holes in the event horizon. They just figured out
- 34:54Speaker 1: a way to do this calculation and it has the
- 34:56Speaker 1: shape they expected to have. If black holes are leaking information,
- 35:01Speaker 1: that doesn't mean they know how it's happening. It's like
- 35:03Speaker 1: if you see your fridge temperature is rising, you don't
- 35:06Speaker 1: necessarily know where the leak is in your fridge. You
- 35:08Speaker 1: just know that somehow somewhere heat is getting in. I see.
- 35:13Speaker 1: The solution also sort of supposes that black holes are
- 35:16Speaker 1: not perfectly smooth inside. Right, there's some crazy interpretation of
- 35:21Speaker 1: these calculations, and I say interpretation, because these calculations are
- 35:24Speaker 1: their mathematical and how they relate to physicality is complicated,
- 35:28Speaker 1: and the cosmologist I talked to really disagree about whether
- 35:31Speaker 1: you can make any physical interpretation about like what's happening,
- 35:35Speaker 1: because sometimes this information exists in this sort of abstract
- 35:38Speaker 1: space we call Hilbert space for quantum mechanics, not in
- 35:41Speaker 1: a physical space, but there is sort of a cartoon
- 35:44Speaker 1: picture that you can draw to try to get an
- 35:46Speaker 1: understanding of what's going on, and it involves really crazy
- 35:50Speaker 1: things like perhaps inside the black hole, it's not actually
- 35:53Speaker 1: all black hole. Maybe there's like an island inside the
- 35:57Speaker 1: black hole where radiation can fall, and it's sort of
- 36:02Speaker 1: no longer part of the black hole. It's part of
- 36:04Speaker 1: this like quantum radiation island. It's physically inside the black hole.
- 36:09Speaker 1: But now the black hole, instead of being like a sphere,
- 36:11Speaker 1: is sort of like a shell. You know, it has
- 36:13Speaker 1: like a hollow core, and that hollow core is not
- 36:16Speaker 1: black holy anymore. What Yeah, Well, how can a black
- 36:21Speaker 1: hole not be a black hole? Inside of a black hole,
- 36:24Speaker 1: it's a double decker, it's like multilayer. So the idea
- 36:27Speaker 1: is that like it's just like a normal classical black
- 36:29Speaker 1: hole in the shell part, but then the core of
- 36:32Speaker 1: it has this other weird quantum gravity thing going on
- 36:35Speaker 1: that we don't yet understand. But we think that maybe
- 36:37Speaker 1: stuff inside the black hole is like falling into this
- 36:41Speaker 1: quantum island, and that quantum island is entangled with the
- 36:45Speaker 1: stuff that has come out, and so this is how
- 36:47Speaker 1: things can like sort of leave the black hole without
- 36:50Speaker 1: passing through the classical event horizon. Again, people disagree about
- 36:53Speaker 1: whether this is like a cartoon picture just for sort
- 36:56Speaker 1: of understanding the calculations, or what's really going on inside
- 36:59Speaker 1: a black hole. All right, well, let's get into what
- 37:02Speaker 1: this potential solution might actually mean, like have we actually
- 37:06Speaker 1: solved the paradox or are we still a long ways away?
- 37:10Speaker 1: But first let's take a quick break. All right, Daniel,
- 37:26Speaker 1: it sounds like maybe they have a new way to attack,
- 37:30Speaker 1: finding a potential solution to a potentially imaginary, not quite
- 37:35Speaker 1: sure paradox about black holes. Right, Did I get that right? Yeah?
- 37:39Speaker 1: I think you did. There's enough qualifiers there. You know,
- 37:42Speaker 1: this is exciting because people for a long time thought
- 37:45Speaker 1: we wouldn't make progress on this for decades until we
- 37:48Speaker 1: came up with a theory of quantum gravity. How can
- 37:50Speaker 1: we even calculate the level of the entanglement of the
- 37:52Speaker 1: inside of the black hole and the outside of the
- 37:54Speaker 1: black hole if we can't do quantum gravity calculations. So
- 37:58Speaker 1: this is exciting, but it's not exactly like a full answer, right.
- 38:01Speaker 1: It's sort of like we were able to without coming
- 38:04Speaker 1: up with the theory quantum gravity. We still don't have one.
- 38:06Speaker 1: We were able to do this one calculation, and that
- 38:10Speaker 1: calculation says something amazing. It says that the entanglement decreases,
- 38:14Speaker 1: and it's a special moment halfway through the lifetime of
- 38:18Speaker 1: a black hole when the entanglement just starts to drop.
- 38:21Speaker 1: It's like the midlife crisis of a black hole. And
- 38:24Speaker 1: that suggests if this calculation is correct, then it means
- 38:27Speaker 1: what we think. It means that information does leak out
- 38:31Speaker 1: of black holes. The things you throw into a black
- 38:33Speaker 1: hole are not lost forever. That's when the black hole
- 38:35Speaker 1: gets desperate and absorbs a Ferrari or something and expensive
- 38:39Speaker 1: sports car or something. Yeah, where it leaks out of
- 38:42Speaker 1: Ferrari right exactly. It's been hoarding its stuff for all
- 38:45Speaker 1: of its lifetime and then it decides, oh my God,
- 38:47Speaker 1: I gotta spend all this mass before I evaporate, and
- 38:50Speaker 1: it starts leaking up bananas and Ferrari's and everything. I
- 38:52Speaker 1: guess this idea that black holes have a lifespan depend
- 38:56Speaker 1: on the idea that black holes at some point stop
- 39:00Speaker 1: eating stuff, right, Like, you have to starve a black
- 39:02Speaker 1: hole for it to disappear. Oh, absolutely, yeah. This is
- 39:06Speaker 1: only the case of an isolated black hole. If you
- 39:08Speaker 1: kept feeding a black hole, it would just keep growing.
- 39:11Speaker 1: This is what would happen if you had a really
- 39:12Speaker 1: big black hole and then you left it totally isolated.
- 39:15Speaker 1: General relativity says it will sit there forever. Quantum mechanical
- 39:19Speaker 1: modifications to general relativity by Stephen Hawking say no, actually,
- 39:23Speaker 1: they will radiate a little bit, leak out mass, and
- 39:26Speaker 1: eventually disappear and evaporate in a blinding flash of light
- 39:30Speaker 1: at the very end. Because the evaporation happens more quickly
- 39:33Speaker 1: for small black holes, so you get more evaporation near
- 39:36Speaker 1: the end of the life So the beginning of the
- 39:38Speaker 1: life cycle like a little bit. But then as the
- 39:40Speaker 1: black hole shrinks and shrinks, it gets brighter and brighter,
- 39:43Speaker 1: all right, So then this potential solution says that maybe
- 39:46Speaker 1: information is not completely destroyed. It sounds like the idea said,
- 39:49Speaker 1: you throw a banana in. The banana SML falls into
- 39:53Speaker 1: a pocket of non black holiness inside of the black hole,
- 39:57Speaker 1: in which it could get maybe entangled with a particle
- 40:00Speaker 1: that's evaporating from the black hole. Therefore, then the evaporating
- 40:03Speaker 1: particle it still carries a little bit of the banana
- 40:06Speaker 1: with it, Yeah, exactly. And they don't really have an
- 40:09Speaker 1: understanding at all for how this information leaks out, Like
- 40:12Speaker 1: as you say, the banana falls in, it's entangled with
- 40:14Speaker 1: you somehow. That banana's information then moves from the pure
- 40:19Speaker 1: black hole state into this weird quantum island, and so
- 40:22Speaker 1: it's not really counted as part of the black hole anymore.
- 40:25Speaker 1: And then as the black hole is evaporating, is a
- 40:28Speaker 1: shell now and it's just basically shrinks down to surround
- 40:31Speaker 1: this quantum island and then disappears, and so then all
- 40:33Speaker 1: that information is still there. Again, cosmologists are really hesitant
- 40:37Speaker 1: to like tie the location of this information with anything physical,
- 40:41Speaker 1: So there are some really tricky questions here, and so
- 40:44Speaker 1: I reached out to one of the theorists who is
- 40:45Speaker 1: actively working on these problems and has been involved in
- 40:48Speaker 1: some of this recent progress. Professor Netta inglehearted m I
- 40:51Speaker 1: t to tell us a little bit more about it. Netta,
- 40:54Speaker 1: thank you very much for joining us pleasure, thank you
- 40:57Speaker 1: for having me. So. My first question is I think
- 40:59Speaker 1: we've I think at a mental picture, if possible, of
- 41:02Speaker 1: what happens when halfway through the life of the black
- 41:06Speaker 1: hole the entropy suddenly starts to decrease. Your papers talk
- 41:10Speaker 1: about this quantum extremal surface that divides the black hole
- 41:14Speaker 1: into these two regions. Can you tell us a little
- 41:16Speaker 1: bit about this surface, how it appears, and then what
- 41:19Speaker 1: the two regions are like. Is it possible to get
- 41:21Speaker 1: a mental picture? I can certainly try. So let me
- 41:25Speaker 1: maybe say a few words about what a quantum extremal
- 41:29Speaker 1: surface is and what what maybe starting with what we
- 41:31Speaker 1: mean by an extremal surface to begin with, So, why
- 41:35Speaker 1: does an extremal surface why do we call it an
- 41:37Speaker 1: extremal surface. So an extremal surface is a surface whose
- 41:42Speaker 1: area doesn't change when you jiggle it a little bit.
- 41:47Speaker 1: So if you slightly, ever so slightly modify the location
- 41:51Speaker 1: of the surface just a little bit, then the area
- 41:54Speaker 1: of the surface does not change. Now, where does this
- 41:57Speaker 1: quantum bit come in. What is that quantum extreme more surface. Well,
- 42:01Speaker 1: it's a little bit like a quantum corrected area. So
- 42:05Speaker 1: what is the quantum corrected area like the area plus
- 42:08Speaker 1: a contribution from from quantum fields, a contribution from the
- 42:13Speaker 1: entropy of of quantum fields that are just living in
- 42:17Speaker 1: your universe, and a quantum extremal surface is kind of
- 42:21Speaker 1: what it sounds like. It means that the sum of
- 42:24Speaker 1: the area of the surface with the entropy of of
- 42:28Speaker 1: quantum fields, this quantum contribution to the area's count corrected
- 42:32Speaker 1: area doesn't change when you slightly jiggle the location of
- 42:36Speaker 1: this surface. So that's the sort of definition of a
- 42:40Speaker 1: quantum extremal surface. And so indeed, in the black hole
- 42:44Speaker 1: information paradox and the recent developments, what we have found
- 42:49Speaker 1: is that the difference between extrememal and quantum extreme all
- 42:54Speaker 1: is exactly what it takes two allow us to see
- 42:58Speaker 1: the signature of information conservation. It is this critical difference
- 43:02Speaker 1: between whether the area can be increasing even though the
- 43:06Speaker 1: overall quantum corrective area is not. That is this this
- 43:10Speaker 1: critical and new ingredient in a very frazy new developments
- 43:15Speaker 1: over the past two years that have been some sense
- 43:18Speaker 1: in a renaissance in the in the black hole information paradox.
- 43:22Speaker 1: Can we think of this as a physical surface or
- 43:24Speaker 1: is this sort of like an intellectual dividing point for
- 43:27Speaker 1: using New Year calculations? Is that a real physical thing
- 43:30Speaker 1: where the space is different inside and outside the surface.
- 43:33Speaker 1: It's a real physical surface in the sisse that it
- 43:35Speaker 1: lives in spacetime. It's physical in another way, which is
- 43:38Speaker 1: also nice, and that if you had a family of
- 43:41Speaker 1: observers who were sitting closely spaced along the surface, and
- 43:45Speaker 1: they were able to each of them could measure what
- 43:49Speaker 1: light rays are doing at the surface. So, in other words,
- 43:51Speaker 1: if you had a ball and he had observers all
- 43:53Speaker 1: around the ball, and each one of them measured in
- 43:55Speaker 1: their own the own little small neighborhood, whether light rays
- 43:59Speaker 1: are expanding or away from the ball or contracting, and
- 44:02Speaker 1: you put all those observations together, you would be able
- 44:05Speaker 1: to tell this is a quantum extremal surface. So this
- 44:08Speaker 1: is something which is in principle observable the location of
- 44:12Speaker 1: that surface. Of course, we expect that if you're seeing
- 44:15Speaker 1: a quantum extremal surface, it is already too late to
- 44:19Speaker 1: communicate that to someone who is standing outside of the
- 44:22Speaker 1: black hole. So then, how does this quantum extremeal surface
- 44:25Speaker 1: help us understand the decrease in entanglement of the black
- 44:29Speaker 1: hole the interior of the black hole, with the Hawking
- 44:32Speaker 1: rediation already produced in the first half of the black
- 44:34Speaker 1: hole's lifetime, does it break that entanglement or do later
- 44:38Speaker 1: particles now get entangled with earlier particles? How does the
- 44:41Speaker 1: entanglement actually decrease? That's an excellent question. How do we
- 44:45Speaker 1: actually understand the way in which information gets out? I
- 44:49Speaker 1: think this is what you're really asking, how do we
- 44:51Speaker 1: actually understand the entanglement entropy? And the fact of the
- 44:55Speaker 1: matter is that we now have two ways of computing
- 44:58Speaker 1: the entanglement entropy of hawk mediation, either Hawking's original calculation,
- 45:03Speaker 1: which tells you that you have information loss, or the
- 45:06Speaker 1: quantum extremal surface prescription, which keeps you information conservation. The
- 45:10Speaker 1: quantum extremal surface prescription has some grounding in the holographic correspondence.
- 45:16Speaker 1: It has derivations coming from the holographic correspondence, which is
- 45:20Speaker 1: very well motivated, but nevertheless still like conjecture, And in particular,
- 45:25Speaker 1: when I say that not thinking that it might be wrong,
- 45:28Speaker 1: but thinking that we don't have a derivation of it,
- 45:32Speaker 1: and so it is difficult to put on the same
- 45:35Speaker 1: footing Hawkings calculation and the quantum extremal surface prescription and
- 45:39Speaker 1: simply ask where did Hawking go wrong? Because right now
- 45:42Speaker 1: we have two completely different calculations of the same thing
- 45:46Speaker 1: that don't talk to each other, and we don't know
- 45:49Speaker 1: how to poured over those insights from the quantum extremal
- 45:52Speaker 1: surface prescription into the same model that Hawking was working with.
- 45:57Speaker 1: Now I say we don't know how to do that,
- 45:59Speaker 1: but I should also say that's a very active area
- 46:02Speaker 1: of investigation. So given how quickly thinks have moved in
- 46:06Speaker 1: the past couple of years, I expect that our ignorance
- 46:09Speaker 1: of this is not going to last much longer. All right,
- 46:11Speaker 1: So do you have like a cartoony picture in your
- 46:14Speaker 1: mind of you know, what's happening to these particles? You know,
- 46:17Speaker 1: I understand it's not easy to transport your calculation from
- 46:21Speaker 1: one regime into this this sort of picture that we
- 46:25Speaker 1: have in our heads. But what picture do you have
- 46:27Speaker 1: in your mind when you think about where the information
- 46:29Speaker 1: is going? Where the information is going is complicated, but
- 46:33Speaker 1: I can tell you what my opinion is on what's
- 46:38Speaker 1: missing from say, Hawking circulation that's included in the quantum
- 46:42Speaker 1: extremal surface calculation. And I should preface this by saying
- 46:45Speaker 1: that this is a wild speculation that is not at
- 46:48Speaker 1: all currently back by anything that I have derived or done,
- 46:52Speaker 1: which is that there's a very beautiful paper by Harlowe
- 46:56Speaker 1: and Hayden in which they discussed how complicated it is
- 47:00Speaker 1: to decode the Hawking radiation, and then the assumption that
- 47:04Speaker 1: Hawking radiation it does sort of purify itself, so at
- 47:07Speaker 1: the end the information is conserved in the process. Then
- 47:12Speaker 1: it's still i would say, exponentially difficult in terms of
- 47:16Speaker 1: computational complexity to decode the Hawking radiation, to understand exactly
- 47:23Speaker 1: to see unitarities exponentially complicated. We might speculate that Hawking
- 47:28Speaker 1: calculation in some sense did not include those exponentially complicated
- 47:34Speaker 1: operations exponentially complicated information. When you look at Hawking calculation,
- 47:39Speaker 1: do you see the team missed anything? Now, so then
- 47:42Speaker 1: there's a question, how would we see this exponential complexity,
- 47:45Speaker 1: where is it hiding? How did Hawking miss it? In
- 47:49Speaker 1: all honesty, that's very much an open area of research
- 47:52Speaker 1: right now, we just don't know. All right, Well, thanks
- 47:54Speaker 1: very much for sharing your thinking about this really fun
- 47:57Speaker 1: and fascinating puzzle about these corner of the universe. Really
- 48:01Speaker 1: appreciate your time. So that was my fun conversation with
- 48:04Speaker 1: Nada Englehart, who tried to help us get a mental
- 48:07Speaker 1: picture of what's going on. And it's sort of amazing
- 48:10Speaker 1: because it means basically quantum mechanics was right. It means that, yeah,
- 48:14Speaker 1: information is not destroyed. It's there. It will not disappear
- 48:17Speaker 1: from the universe, even if it has to like hide
- 48:19Speaker 1: in some little weird quantum island at the core of
- 48:22Speaker 1: a black hole. It will persist, right, I guess the
- 48:25Speaker 1: question is could you decode that information? Like if you,
- 48:28Speaker 1: you know, trillions of years from now in the future,
- 48:30Speaker 1: someone looking at our black holes evaporating, could they like,
- 48:33Speaker 1: you know, make up, Oh there's more banana there. That's
- 48:36Speaker 1: the question, you know, can you decode this information that
- 48:39Speaker 1: was the subject of this fun TV show called Dev's
- 48:42Speaker 1: you know that basically built on this whole concept that
- 48:45Speaker 1: couldn't you take a scan of the Earth now and
- 48:48Speaker 1: use that to reconstruct history? Could you know, see Jesus
- 48:51Speaker 1: on the cross or important historical events just based on
- 48:54Speaker 1: you know where air molecules are today, and in principle
- 48:58Speaker 1: if possible, but in practice it would require knowing the
- 49:01Speaker 1: quantum state of all of these particles so you could
- 49:03Speaker 1: properly get them back in time, and that would be
- 49:06Speaker 1: essentially impossible even with a quantum computer, but in principle
- 49:10Speaker 1: it is possible. And so if this information does leak
- 49:13Speaker 1: out of black holes in terms of Hawking radiation, then
- 49:16Speaker 1: in principle you could decoded. And the physicist actually did
- 49:19Speaker 1: a really fun sort of thought experiment to how you
- 49:21Speaker 1: could make that work That involves like weird informational wormholes. Oh,
- 49:26Speaker 1: great sprinkle and more wormholes? Why not? The way they
- 49:30Speaker 1: think you might be able to do it is to
- 49:32Speaker 1: run a simulation of a black hole on a quantum computer.
- 49:37Speaker 1: To take a quantum computer which can represent these quantum
- 49:40Speaker 1: states fairly naturally, and run a simulation of the black
- 49:43Speaker 1: hole and compare the Hawking radiation you get from the
- 49:45Speaker 1: real black hole to the simulated ones. So then if
- 49:48Speaker 1: you find a simulated black hole that has the same
- 49:50Speaker 1: pattern of radiation as you're a real one, then you
- 49:53Speaker 1: can peer inside of it and see this must have
- 49:56Speaker 1: been what was inside the black hole. What, but would
- 50:00Speaker 1: have to match like every particle that comes out of it, Yeah, exactly,
- 50:03Speaker 1: It would be tricky. But if you do that, then
- 50:06Speaker 1: something really weird happens. In their calculations, they suggest that
- 50:10Speaker 1: a wormhole is essentially created between the real black hole
- 50:14Speaker 1: and the simulated black hole in your quantum computer. What
- 50:19Speaker 1: it's like an informational black hole, like a virtual black hole. Yeah,
- 50:24Speaker 1: because then that information is now being revealed from the
- 50:27Speaker 1: core of the black hole, a real black hole, to
- 50:30Speaker 1: the one in your simulation in your quantum computer. And
- 50:33Speaker 1: so there's like, how does that information get from there
- 50:36Speaker 1: to there? It's this weird non local effect, and so
- 50:39Speaker 1: non local information transfer can really only be done by wormholes,
- 50:43Speaker 1: which connect different places in space and time. So like,
- 50:46Speaker 1: that's pretty weird. If you run a program which creates
- 50:48Speaker 1: a wormhole between your computer and a real black hole,
- 50:52Speaker 1: whoa creates like a little bookatiny channel or something between
- 50:56Speaker 1: the two. All right, well, I guess the big question
- 51:01Speaker 1: is what does this mean? Does this mean that we've
- 51:02Speaker 1: solved or we think we may have solved this kind
- 51:06Speaker 1: of like conflict between quantum mechanics and general relativity or
- 51:10Speaker 1: does this sort of side step that conflict. It sort
- 51:13Speaker 1: of sidesteps the conflict, right, it doesn't really get to solution.
- 51:16Speaker 1: The solution would be a full theory of quantum gravity,
- 51:19Speaker 1: one that tells us what happens really small distances and
- 51:23Speaker 1: powerful gravity, which is not something that's easy to test,
- 51:26Speaker 1: right because small distances you only have little particles, and
- 51:29Speaker 1: little particles have very small amounts of mass and gravity
- 51:32Speaker 1: super duper weak, so we can't really do gravity experiments
- 51:36Speaker 1: with tiny particles, so it's pretty rare we get to
- 51:38Speaker 1: even explore this regime experimentally to like see what happens,
- 51:41Speaker 1: which is why black holes in their interiors are such
- 51:44Speaker 1: a valuable test. Ben So we think we need like
- 51:47Speaker 1: a theory of quantum gravity to really resolve this. And
- 51:50Speaker 1: the fascinating thing about making progress like this on a
- 51:53Speaker 1: big question is that it's a bit disappointing and exhilarating.
- 51:57Speaker 1: Like it's disappointing because people fought you need a quantum
- 52:01Speaker 1: gravity to answer this question, So now answering it without
- 52:05Speaker 1: the getting the theory quantum gravity is sort of like,
- 52:07Speaker 1: oh darn, you know, we thought maybe this was like
- 52:10Speaker 1: a thread we could pull on to reveal the truth
- 52:13Speaker 1: theory of quantum gravity. Instead, we only sort of like,
- 52:16Speaker 1: you know, pull the thread and got the end of
- 52:18Speaker 1: the thread. We didn't really like get the whole thing
- 52:20Speaker 1: to unravel. Basically, physicists are never happy. You find a solution,
- 52:24Speaker 1: you're happy and unhappy, And you don't find a solution,
- 52:27Speaker 1: you're happy and unhappy. We're in a superposition of happy
- 52:30Speaker 1: and unhappy at all entangled happiness there. And also remember
- 52:35Speaker 1: that not everybody really believes in this solution. There are
- 52:39Speaker 1: folks out there that are just like, no, there's too
- 52:41Speaker 1: many mathematical tricks there. I don't really buy it. It's
- 52:44Speaker 1: sort of a little bit controversial still, and you know,
- 52:47Speaker 1: there's reasons to be skeptical. Like to do this calculation,
- 52:51Speaker 1: they did this weird trick where they said, I don't
- 52:54Speaker 1: know how to do a calculation in four dimensional space
- 52:57Speaker 1: with gravity, but I can do a similar calculation on
- 53:00Speaker 1: a three dimensional space that has no gravity. And there's
- 53:04Speaker 1: this famous result in physics from about twenty five years
- 53:07Speaker 1: ago showing that those two calculations should be the same.
- 53:10Speaker 1: You take a four dimensional space that has gravity in it,
- 53:13Speaker 1: and you should be able to instead get all the
- 53:15Speaker 1: information about that space just by looking at like a
- 53:17Speaker 1: three D surface around that four D space, And in
- 53:20Speaker 1: the three D surface there is no gravity, there's just
- 53:22Speaker 1: quantum mechanics. So they did their calculation on this like
- 53:26Speaker 1: three D surface, not in the actual gravity of a
- 53:29Speaker 1: black hole. And so some people feel like maybe that's cheating.
- 53:33Speaker 1: Other people feel like, know that connection is real. It's
- 53:36Speaker 1: a mathematical trick, but it's real and it's reflective of
- 53:39Speaker 1: the way our universe works. So there's still sort of
- 53:41Speaker 1: a lot of controversy about whether this will hold up.
- 53:44Speaker 1: Just throw all those physics into the black hole and
- 53:46Speaker 1: then them doke it out. Yeah, and you know, we
- 53:49Speaker 1: have the East Coast versus the West coast. There's two
- 53:52Speaker 1: different calculations, two different strategies for doing this calculation that
- 53:56Speaker 1: got dissimilar results, and so that's sort of reassuring, but
- 54:00Speaker 1: it's also sort of fun because you get like East
- 54:01Speaker 1: Coast versus West Coast. Who wraps better? They're all wrapped
- 54:06Speaker 1: it up inside a black hole. All right, Well, it
- 54:09Speaker 1: sounds like maybe stay tuned. It seems like there's some
- 54:12Speaker 1: interesting progress that's been made, but not everyone is convinced
- 54:16Speaker 1: about this new approach. That's right, and my personal hope
- 54:19Speaker 1: is that we do eventually get to do experiments near
- 54:21Speaker 1: black hole. All this, the theoretical calculation is fun and
- 54:24Speaker 1: it tells us what question is to ask, but we
- 54:27Speaker 1: never really know the answer until we actually get to
- 54:29Speaker 1: go do experiments near a black hole or maybe even
- 54:32Speaker 1: in a black hole. Until then, we just have to
- 54:35Speaker 1: smell the banana in the air and remember it and
- 54:39Speaker 1: remember and remember both our dearly departed lunch. All right, well,
- 54:44Speaker 1: we hope you enjoyed that. Thanks for joining us, see
- 54:48Speaker 1: you next time. Thanks for listening, and remember that Daniel
- 54:58Speaker 1: and Jorge explained. The unit Verse is a production of
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