One of Einstein's two strangest ideas, wormholes and quantum entanglement were the same idea. My guest today spent his career proving
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The INTO THE IMPOSSIBLE Podcast
The Equation That Changed How Physicists Think About Reality | Juan Maldacena
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Brian Keating
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Juan Maldacena
Physicist Juan Maldacena explores the groundbreaking idea that wormholes and quantum entanglement are connected, revealing deep insights into black hole thermodynamics, the holographic principle, and quantum gravity. He discusses the mysteries of space-time, black hole information paradox, and the quest to understand the universe’s beginnings through quantum theory.
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“Are Wormholes and Quantum Entanglement the Same Idea?: "One of Einstein's two strangest ideas, wormholes and quantum entanglement were the same idea.”
“The claim he just made that wormholes and entanglement are the same thing is called ER equals epr.”
“Surprising Evidence and Properties of Black Holes: "Now in the last few years, really, in the last few years, we had lots of experimental evidence for black holes. From collisions that produce gravity waves to imaging the matter near the black hole of the black hole that is near the center of the Milky Way, to, you know, looking at stars that orbit this black hole. Yeah. So we have lots of evidence for these black holes. Now then the other surprise I think would be black hole thermodynamics. I think that would be something really interesting in the sense that there's a connection between the laws of thermodynamics and black holes, that black holes have an entropy, they have a temperature.”
“The Reality of Black Holes Quote: "To my knowledge, there's no such thing as a Schwarzschild black hole either. Right. That's perfect.”
“Black Hole Information Paradox "When you throw in the computer into the black hole, the area, the mass of the black hole grows a little bit and the area grows a little bit, and the entropy becomes larger. It becomes larger by an amount which is bigger than the entropy that was, than the amount of information that was in the, in your laptop. And you can use the laws of physics to show that this is always the case. Whenever you send something into the black hole, the entropy always increases.”
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that they are so called Einstein Rosen paper on the fact that the full thrashette solution contains two black holes that are connected and the Einstein Podolsky Rosen paper that talks about entanglement. And we now think that these two things are related.
My guest is Juan Maldicena, the physicist who in 1997 wrote the most sided paper in theoretical physics. The claim he just made that wormholes and entanglement are the same thing is called ER equals epr. If he's right, the structure of space time is built out of quantum information itself.
The information of the things you threw in is contained in this radiation. According to general relativity it will look like the information is lost. According to quantum mechanics, we would expect it to be preserved. So there is a conflict between the two things. Quantum matter didn't obey this property then you would be allowed to send signals faster than the speed of light. I think this is a beautiful consistency condition between the two theories.
He also told me problem in physics he'd most like to solve before he dies. The answer was not what I expected.
The most important problem, quantum gravity, is to understand the beginning of the big bang. That's really the problem that I would like most strongly to solve.
Juan Alicena, welcome to UC San Diego for your second appearance on the podcast.
Yeah, thank you Brian. It's a pleasure to be here.
You're here giving the Dashen lecture all the way from the Institute for Advanced Study which I think is on Einstein Lane. Is that correct address? I'm not doxing you right to say you're on one Einstein Lane. Here's Einstein over here. What do you think he'd be kind of most interested to learn or if you could have 10 minutes alone with him, what would you tell him about?
Well, I think black holes would be probably something he would be really interested in. I would particularly want to tell him, want to ask him whether he thought that his two papers from 1935 would be related. So called Einstein Rosen paper on the fact that the full threshold solution contains two black holes that are connected. And Einstein Podolsky wrote some paper that talks about entanglement and we now think that these two things are related.
This ER equals epr, right? That's one of the things you're known for. Many, many things you're known for.
One surprising thing would be that they are a consequence of gravitational collapse and that are naturally produced in the universe. Now in the last few years, really, in the last few years, we had lots of experimental evidence for black holes. From collisions that produce gravity waves to imaging the matter near the black hole of the black hole that is near the center of the Milky Way, to, you know, looking at stars that orbit this black hole. Yeah. So we have lots of evidence for these black holes. Now then the other surprise I think would be black hole thermodynamics. I think that would be something really interesting in the sense that there's a connection between the laws of thermodynamics and black holes, that black holes have an entropy, they have a temperature. I think that would be a lot of fun for him.
I mean, gravitational waves, another thing he predicted that he thought would never be observed. And I think he got a paper reading rejected and then he said, I don't want to deal with a referee. And another thing that he did, well,
he first predicted gravity waves, then he thought maybe they don't exist. And then the referee said that no, they do exist. You made a mistake here. And then that's what I say when
people say peer review is bad, it's harmful to someone else.
I mean, this case was a good example of useful. Well, I guess you got a good reviewer.
That's right, yeah. That led to multiple Nobel prizes at Halse and Taylor and then LIGO and who knows what else it'll do. But yeah, I always tell my students aspire so that your blunders or things you don't think will ever work will lead to multiple Nobel prizes.
Yeah, yeah. And the cosmological constant, that was his biggest blunder. Yeah. Now it's a central part of cosmology.
So I want to talk today about the realities of black holes and of things like the holographic principle, which is one of again, many things you're known for in your amazing career. I was talking to a non scientist, but a very smart layperson and he was asking me, well, you know, if the holographic principle is correct. You know, some people say, well, we might be living inside of a black hole and things like that. But I always point out, you know, there's no such thing as isolated hydrogen atom floating around the universe that truly can be solved by the Schrodinger equation. In other words, there's always perturbation. To my knowledge, there's no such thing as a Schwarzschild black hole either. Right. That's perfect.
There's occur black holes, we know of the ergosphere surrounding them. So in what sense is the holographic Principle of the fact or, or proposition that we could be living in is that just pure theoretical. Because of the realities of real black
holes, the holographic principle as applied to our universe, we don't know whether it's correct or not.
Could you explain the holographic principle? First?
The holographic principle is the idea that you can describe quantum gravity in some region of the universe by some theory of ordinary quantum mechanics that lives in the boundary of that region. It remains a big idea formulated this way. Now in some special cases, some special universes, so universes which are infinitely big and so on, then we can go to a surface that is very, very far away and define there a very concrete theory that whose laws of physics we can define. And in that case they are supposed to describe the interior of those universes. Those universes are not the universe we live in. They have slightly different. Well, they have different laws of physics. They have a different value for the cosmological constant.
But in those universes there is a lot of evidence that this relationship is true. Now there in those universes, you can consider black hol holes that are inside this universe. The black holes can have perturbation matter around. And the idea is that those would be described by the theory that lives on the boundary. And there are some comparisons we can make. One, let's say catch or one thing that makes it hard is that the theory that lives on the boundary involves strongly interacting particles. And so it's not completely obvious how to solve this theory. So you have to apply some techniques.
There are some things you can calculate, but not everything you would like to calculate. So that's in order to compare the two things. And we are learning more on how the dictionary gets built between this quantum description on the boundary and the gravity description in the interior.
When you say lives on the boundary, what does that mean? Is that like a separate Hilbert space
or lives in the boundary means that these are particles that move on space which has the geometry of the boundary. It doesn't have the extra dimension. And the idea is that you can think in two alternative waves. Either you have particles that live on that boundary, or you have the gravity description that lives in the interior. And the idea is that these particles are strongly interacting and the gravity description is some kind of emergent property. It's not something that was there in the very beginning in the formulation of the theory, but looks like it's an approximation to the underlying dynamics.
Does that gravitational theory, does that produce GR or something different?
So the idea is that when these particles are Strongly interacting and some special cases that we understand and would produce general relativity. In fact, in the examples we understand it produces general relativity plus string theory also at short distance. So there is some approximation where it's just general relativity with some particular matter content and then also strains and stuff like that. Those are in the cases we understand. We don't know whether string theory is necessary for this discussion or whether this is valid more generally. Or maybe string theory is the only way to quantize gravity. Those questions we, when we can remain
agnostic, will it produce, you know, excitations and things like the fermions, you know, three.
Yeah, you can have fermions, you can have all that.
When you said strongly interacting, does that mean like the strong force or does this mean like short range interaction?
By strong interaction, I mean that the coupling between the particles is very strong. So that if you have two particles that collide, they very, they will scatter very, very easily. The strong interactions are called strong because precisely they, the interactions are strong at the level of, let's say, inside the proton and so on. And in addition, the type of particles that we have also have interactions similar to the strong interactions. The so called gauge theory. It's a type of interactions that involves the property, let's say, called color, which is a type of charge, but of which the sign is not just plus minus. But there are like three different types of charges in nature. There are three different types in these theories we consider there is a large number of types.
There are theories somewhat similar to the theories we have in nature, but not exactly the theories we have in nature. What we have are some examples of this involving this, let's say the aershast theories and models. You could say it's a model of quantum gravity. And one of the advantages of this description and the reason that it was developed was that it could give a full quantum description of the gravitational space time. So we don't just get general relativity, but the quantum version of general relativity. And we hope that by having these models we will understand the quantum gravity more. And then eventually, of course, the objective is in the end to understand quantum gravity in our own real world. So somehow to extract lessons from this, to be able to apply them to our real world, you know, just at
a basic layperson level, you know, not going to do this, but you know, take your laptop, you're going to be speaking later. Throw it into a black hole. What happens and does it depend on what type of black hole it is?
If you throw anything into a black hole? Well, Your laptop and so on, it will fall and you will lose sight of it. So the time it takes light for going a distance of order the size of the black hole, all the information about that laptop is effectively lost to you. So in the sense that you will not see it anymore, and any perturbation you had of the metric that was due to the fact that there was a laptop will be lost. So the influences decrease exponentially fast. Okay, this is fine. This is what happens with classical black holes. But as we were saying before, black holes have some entropy. And entropy in physics, we interpret it as arising from statistics.
And it's a measure of how many states the black hole can have, how many, if you wish, bytes can be stored in this, or qubits can be stored in this black hole on the
surface or on the volume.
Well, the formula for the entropy is just the surface. So then you might be tempted to say it's in the surface, but in the classical solution, the matter falls in and goes into the black hole. So you could be free to say it's in the interior. What that somehow suggests, this picture, that the black holes have a finite amount of entropy, is that that information is not completely lost somehow. In fact, when you throw in the computer into the black hole, the area, the mass of the black hole grows a little bit and the area grows a little bit, and the entropy becomes larger. It becomes larger by an amount which is bigger than the entropy that was, than the amount of information that was in the, in your laptop. And you can use the laws of physics to show that this is always the case. Whenever you send something into the black hole, the entropy always increases.
The question is, is this lost forever or not? In principle, you could say it's lost forever. And you might think because the, you know, goes into the black hole and then, well, never come out, according to classical physics. But the new aspect is that these thermal effects in particular, Hawking radiation, implies that the black hole will emit something, emits some radiation that in the first approximation is thermal and carries no information. But it's saying that the black hole will start losing mass, so it will get smaller, and eventually the black hole might perhaps disappear completely and become get some radiation. And you could wonder whether the information of the things you threw in is contained in this radiation. Now, if it is contained, it will be contained in a very subtle way. But the question is whether, in principle, it's contained. The reason we're asking this question is not because we are desperate to find this information, but we are a little bit Desperate, but the reason we are desperate is just that, because it's a problem that will force us to understand quantum mechanics and gravity together and how things work.
Because quantum, according to general relativity will look like the information is lost. And according to quantum mechanics, we would expect it to be preserved. And so there's a conflict between the two things. And we hope that by solving this conflict, we will learn better quantum gravity. The most important problem of quantum gravity is not the black hole information problem. No, the most important problem, quantum gravity, is to understand the beginning of the Big Bang. So understand what happened in the very beginning. That's really the problem that I would like most strongly to solve.
Right. But the black hole information problem has the advantage of in more concrete problem and that we have some tools to address it. So that's why there is effort and progress in this problem.
And getting back to my question about real black holes that aren't static, that have charge, that spin, is that true? Is it also true that, you know, you get the exact same Hawking radiation, or if not in a maximal Kerr black hole. So we should say what that is. But in a black hole with an ergosphere like interstellar, you know, think about gargantua, real black holes, do they have the same phenomena?
The question is whether real black holes are emitting Hawking radiation. The problem is that the temperature for real black holes that we've known, we know they exist. They have masses of order solar mass or higher. Those black holes have a temperature which is very small, many orders of magnitude smaller than the temperature of the cosmic microwave background. So even if the black hole didn't have any matter swirling around, which they do, and that matter is at even higher temperatures, even then, even just the cosmic microwave background would be swamping the Hawking radiation in the sense that the cosmic microwave background would be falling into the black hole and the Hawking radiation would be a tiny effect. So the answer is no. For the big black holes. Hawking radiation is an irrelevant phenomenon.
And it of course hasn't been observed and there is little. Well, it's probably not going to be observed anytime in the foreseeable future for astrophysical black holes. This would make you think why people think about Hawking radiation if it is such an irrelevant thing. But I would like to point something out which is that this phenomenon of Hawking radiation inspired the theoretical development of discovery of some other phenomenon, which is the generation of fluctuations in an expanding cosmology. So in a black hole, there is a horizon or there is a region. You can't observe and can access. And that's somehow ultimately responsible for this thermal effects. If you live in a universe that is expanding fairly rapidly, like as we think it was during the early epochs of inflation, then you expect a similar thermal effect.
And that temperature and the associated phenomenon will change the properties of the inflaton and will produce fluctuations in the shape of the inflaton. And we think that that's the leading theory for the generation of the primordial fluctuation. So the fluctuations that make the universe not perfectly uniform. So the universe is somewhat uniform at large scales, but not perfectly uniform. Well, as you know very well, you've been studying this in homogeneities for. During your whole career and made wonderful discoveries. But it's ultimately a similar. We think they also arose from quantum fluctuations, and it's the same phenomenon as Hawking radiation.
So in this case, learning something for black holes. So Hawking's paper was earlier than the papers that discussed this phenomenon in inflation, helped us understand something about cosmology that now forms part of more or less standard cosmology, I would say. And we similarly hope that understanding these other aspects of black holes will help understanding, you know, earlier epochs of cosmology.
Right.
So in some sense, the idea that phenomena discovered for black holes could be helpful for cosmology has already happened and we hope to repeat this. That's our hope.
Hold on to that, because what Juan just said about black holes accidentally gave cosmologists the equation explains what the universe has structure at all. That's not a small footnote. And that's where I come in.
We've only discovered black holes with much more large masses than the sun, and yet the ones that are most likely to produce observable Hawking radiation are the small ones. And I kind of always meant to me, you know, for people that conjecture that, say, primordial black holes could be dark matter or could have truly existed since the dawn of time, basically, that sort of is hard to reconcile. So what do you make of attempts to solve the missing matter problem and even recently solve some dark energy phenomena using black holes, basically, which may or may not be primordial from the particle
physics point of view and from the model building point of view, they are not the most. I would say they are not the most natural thing or not the simplest thing you could think about. And for dark matter. So there are maybe other particle physics ideas that might seem more likely, but. Well, we'll see. I mean, maybe, maybe they are. And of course, if dark matter is black Holes in the range where they are allowed, then Hawking radiation would be relevant. So I mean would be present and would be bigger, the temperature would be higher than the CMB temperature.
You are known and kind of remarkable to me because you study things at the forefront of theoretical physics, but you also aren't afraid to take on philosophical kind of discussions. And one of the papers I think read from 2024 is called real Observers Solving Imaginary Problems paper. What is that? What was the purpose of that paper? And I want to talk later about your, your Beauty and the Beast paper. You have such great titles.
That paper had to do with computations in the cetar space. More precisely, it is sometimes useful to consider the Euclidean version of some space times. Euclidean version is basically you take the usual universe and you make the time, you change the sign in the metric in the time direction and that makes a space which is purely spatial. And in the case of an expanding the cetar universe, that is a sphere, so you can consider Einstein gravity on a sphere, we would expect that type of universe to be computing the thermodynamics of the sitter space. The reason is the following, that evolution in imaginary time, or this procedure I've just mentioned is useful because if you solve that evolution, you are basically calculating the thermal partition function or you're calculating thermodynamic properties of the system. This is something that is true for any physical system. And if you do that for the sitter space, you would expect that it should be telling you about the thermodynamics of the sitter. Now, this is not a new idea.
This idea, well goes back to Gibbons and Hawking. If you do that, then you get that this theater space has some entropy, which is the area of the horizon. So formula very similar to the black hole entropy formula in that paper was the same time as they discussed also the same thing for black holes. Now all of this is perfectly nice and so on, but if you calculate the first quantum correction, so calculate not just the Einstein action for the sphere, but also the quantum fluctuations, including the quantum fluctuations. The quantum fluctuations they would give a negative value for the partition function. So the number of states would be negative and depending on the dimensions. In some cases it's imaginary I to the power of the number of dimensions of space time. So this was something confusing that was found by.
But I think Hawking already noticed that there were some issues with some sign. Polchinski calculated more precisely what the sign is. More recently with trying to understand better the physics of the sitter space. It was understood that in order to construct the Hilbert space, it was useful to include an observer, so that you include an observer. And the degrees of freedom of the observer were important, some of the degrees of freedom to define the Hilbert space. And so what that paper did was notice that if you don't consider just a sphere, but the sphere with the trajectory of a particle, then there are some other minus signs from the trajectory of these particles or some other I's that cancel the. And then you get something nice and positive. Well, actually, in the paper, I originally got something positive.
Then Victor, I was a student of mine, pointed out a mistake. Then I got something negative. And then eventually a group from Stanford, with Douglas Stanford and collaborators, they found another mistake. And so now it's positive. So it's a triple negative. Yeah, triple negative. Well, that's how many things work in science.
I remember reading A Brief History of Time. I started reading it in high school. I couldn't finish it until I. In fact, I didn't finish it until about five years ago. But it was a good thing I didn't because I don't think I could have understood kind of what he was doing in that book until much, much later. But one of the things, when he brings up this, you know, kind of what's called a wick rotation, right?
Yeah.
He brings it up and he says, well, imagine we're just going to build this as a trick. You know, we're just going to do a trick. We're going to introduce imaginary time, you know, the number square root of negative one in front of the time component. And when we do that, it's called a wick rotation. And then we can solve all these things as if it's taking place in Euclidean space. So it's, it's. But don't worry, dear reader, it's just a simple. And then the rest of the book is just basically assuming that's true.
And then he goes on to say, and then we'll have the mind of God. What do you make of this? I mean, what is the reality of it? I guess I'm asking Wigner's question, why is math so useful? One thing that always blows my mind, and I try to impress it on my students, is in classical mechanics, we have Lagrangians, we have Poisson brackets. You can do all sorts of things. If you take a Poisson bracket and commutation bracket, you get the product of these things and they cancel out. The Poisson bracket for classical observers is zero. But if you, if you say it's quantum mechanical you do the commutation relation, you get the square root of negative one and all of a sudden all of quantum mechanics can emerge from it. It's sort of bizarre, right? At what level are these things tricks? I mean, when you see the imaginary number and you talk about in this paper, is it real? Maxwell's fields have imaginary solutions too. They're not real, but we can observe only real things.
So where does a person go with this?
I like a story that apparently Lorentz, so that's the same person of the Lorentz transformations, he was tasked with calc how water gets into the various canals and how to design some dams and so on. So some people, they wrote a report on how this should be calculated. And in the beginning of this report he says, well, we are going to use complex numbers, but it's just a trick at the very end, all the heights of the water and so on are going to be real, don't worry about it. And I guess at the time it was thought it would be necessary to explain this point. Now, any engineering student that uses complex numbers to solve these type of problems with oscillations and so on, and yeah, well, it's a trick, but it's a trick that simplifies. In that case, it's a trick that simplifies the calculation. And in this case maybe similar. So everything we measure, we always measure real numbers.
And so the imaginary numbers, that's how they were invented for discussing the roots of polynomials and so on. But they are useful tricks. And I. Yeah, but it's true that it's a trick that is used so often and so much that it seems that there is something deep about it
when we think about all the other mathematical structures. So you start off with the square root of negative one, you get quantum mechanics, you get all sorts of interesting phenomena. Then you have spin 1/2 particles can be described by these SU 2x2 matrices that are complex. And then later you can have su, you can have quaternions, and then I think there are octonians. But then nothing like people obviously could keep going, right? All powers of two. But does anything correspond to whatever hexasexadecimal D?
Well, the problem is the complex numbers have many of the properties of ordinary numbers. And once you start going to these other ones, they don't have all the properties of ordinary numbers and you start losing some of the properties. So they become, I would say they become less useful. I mean, quaternions were invented and they could be useful for describing rotations in space, but they are not used that much. I mean, it's not something I. I'm not sure whether engineers use it, for example, for this purpose.
I think they're using like AI and some AI applications, I guess for rotation.
Yeah. Well, maybe they're used for some things. I wouldn't.
I want to talk about one of the things you're most known for. When I was getting my PhD, you know, in late 90s at Brown, I remember some conference and everyone's so excited and at the end they did the Macarena, but they called it the Maldicena. Take us back to those times. About this ADS cft, what is it? How did you come upon it? Give us the origin story.
Well, adsft is this connection between universes which are large and with negative cosmological constant. So that's an ADS anti de sitter space time. So the CETR is the one with positive cosmological constant. This is with negative cosmological constant. And CFT is a type of field theory. So field theory is theories that we use to describe relativistic particles and conformant means it has some scaling symmetry. And the idea is that these two are connected. It's this instantiation of this holographic idea.
So it's a concrete example. Yeah. So that conference took place after this paper and after people had well worked on it and there are many other interesting properties. And so Jeff Harvey wrote this song. I mean the Macarena was the song that was popular at the time.
What do you say to people that often have said the mathematics like with string theory is beautiful, but we certainly don't seem to live in ADS space. So is it just pure again, like a wick rotation? Is it something that we should use as a useful tool or could it describe reality and we just haven't found evidence for it?
Well, we made a sign error, of course.
Okay, typo. We got to retract it. Paper is zero citations.
Yes, yes. So the cetar space is much closer to our universe. And I would very much like to have something. I mean everyone would very much like to have something like this in the Cedar space. And hopefully understanding the anti de sitter case will be useful for understanding the de Sitter case. I hope that the understanding of the de Sitter case would have happened already and I hope it will happen soon. But maybe we'll need maybe a new conceptual idea. So people who say that this is not the physical universe are correct.
But you know, we hope it's close enough that we can extract some lessons.
The other thing we talked about briefly in our last conversation four years ago. I can't believe it was wormholes and even humanly traversable wormholes. What is a human traversable wormhole? What good is it other than for solving a lot of issues in Hollywood, where you're off to tomorrow.
Yeah. Before I discuss what the wormhole is. So, in Einstein theory, the structure of space time is dynamical and curves. So the space time can be deformed, Right? Okay. So it can be deformed a little bit. And, you know, when Einstein developed his theory, he thought, okay, these deformations will be small. Then there were some even larger deformations, like black holes. And, okay, that's more drastic thing.
But then you can have some other types of deformations where you drill a hole in space time and you connect to another region of space. So you can have, for example, a space time like this. Imagine a membrane. You dig a hole in these two portions of the membrane, and you somehow connect them, but you connect them through a tube that is not embedded in this spacetime. It's just a very short tube.
My Klein bottle over there.
Yeah. Something exotic like this. So, and the question is, are these configurations allowed? Are they possible in general relativity? Science fiction authors love it because you could go in one end and come out in the other, and you could travel faster than the speed of light, for example. This is something that they could allow if they were possible. But it would be a little funny because the structure of special relativity and general relativity is based on the idea of a maximum speed for propagation of signals. In general relativity, you are not allowed to put any space time. So you're not allowed to say, oh, I have this space time. You have to obey certain equations.
And the equations roughly say that the curvature of your space time should be equal to the density of matter. Then you can say, okay, fine, if I want to build some space time, I just put appropriate matter, and then I will be able to have any space time I want. But then there is a catch. Because matter has to obey certain properties, you cannot have matter, let's say, with negative energy or things like this. At least in classical physics, you can't have that. And once you put in that constraint on the types of matter you are allowed to have, then you forbid this type of worm. The wormhole's attack would allow you to propagate faster than the speed of light. That is also forbidden in the full quantum theory.
In the quantum theory, we think that in quantum mechanics, you are allowed to have a little bit of negative energy, but not Enough to have a wormhole that would allow you to travel faster than the speed of light. So those type of science fiction wormholes are not allowed according to the laws of physics as we know them. And this is not something that depends on the detailed structure of the standard model, but is something that depends on relativistic quantum field theory. So the principles of relativity, which are the principles on which this whole picture of space time is based, and the principles of quantum mechanics, they do not allow such a thing. I think this is a beautiful consistency condition between the two theories because the, and this issue with this wormholes, which is some property of general relativity, they depend on some quantum property of matter. If quantum matter didn't obey this property, then you would be allowed to violate the, you would be able to send signals faster than the speed of light, creating these wormholes. So those are not allowed. And this is a nice theoretical result, important theoretical result, but this does not forbid wormholes that, where it would take longer for you to go, right? So you could imagine a non trivial topology where there are two holes and they're connected by a long tube.
And it takes you longer to go through the tube, at least I've seen from someone outside, than the time it takes to go between the two mouths. And recently it became possible to construct some solutions that are of this kind. So they require certain types of matter, in particular charged fermions, which are massless and so on. So they could exist as solutions at very microscopic scales where you can approximate the Fermi of nature as being massless. Those would be very tiny. Or you could say, well, I have some very special type of dark matter that is dark matter specially designed to make wormholes. And then you could have a very, very big wormhole that could be humanly traversable, that the person can traverse meter scale, Right? Yeah. Well, to make them this way, you need them to be actually much bigger than meter scale.
And, and the reason is kind of interesting. It's because. So these are structures where there is some space time curvature and we are quite sensitive to tidal forces. So you need them to be roughly the size of the Earth for it not to kill you when you are traveling.
Well, that's beneficial. We could transport whole planets. Why stop at astronauts when you can have all people?
That size is just so that the curvature is small enough that they would not kill you.
Ah, right, I see. If you and Einstein were together in 1983, 1913 or 1911, say after his happiest thought about falling on an elevator and experiencing no gravitational field, and you gave him an LLM and a GPT and a gpu and you had the most powerful system. Do you think he could have come to? Or you guys together could do stuff that you couldn't do without an AI? In other words, someone operating at the highest levels of theoretical physics. What level of. I mean, I use LLMs all the time, but I don't see them creating new physics anytime soon.
Well, we'll see. We'll never say never. The field is advancing quickly and we'll see. We'll see what happens.
Yeah, I was an altar boy in the Catholic Church in Westchester county, actually in Chappaqua, New York, where the Clintons now live, as it turns out. And I loved it. I thought it was awesome. It was 1984, 1985 and. And then the Pope, John Paul II, who was in my opinion the greatest Pope in history, maybe I loved him. They came out with a decision that Galileo was right, but they never really forgave him. And I understand that you remember that Catholic Scientist Society. How do you reconcile.
Do you feel like there's a tension? I always thought they should just say he was right, he was pardoned. How do you reconcile the so called kind of tension between science and religion?
I think, yeah, the Galileo was a very. Galileo thing was a very unfortunate case. But there are, well, there are many other cases of scientists that reconcile their faith with their. And we're talking about cosmology, for example. Lemaitre, who was one of the people who created the Big Bang theory, he was a priest and he reconciled. So I think there isn't a fundamental issue, but as science progresses, we have to change how we understand religion or we. And also religion can illuminate some scientific. Well, not some scientific questions, but some issues that arise because of science.
Right, Yeah, I know we have now very powerful weapons and we have some responsibilities that are very important. Very moral responsibilities.
Yeah. And how to adapt. People are so obsessed with artificial intelligence, but I kind of feel like we need artificial wisdom. Like intelligence is in plentiful, but somehow it's more important to get wisdom. And I don't see science providing wisdom. It provides knowledge. I mean, that's what science means in Latin. Right.
But it doesn't mean wisdom. So yeah, from my perspective, they can be partners, you know, science and religion, I don't see them as foes or in opposition. But yeah, people that try to derive one from the other, like prove that the Big bang happened using the Torah, you know, using the Bible. I think that's not great.
When the cosmic microwave background was detected. So the pope wanted to say actually that now we saw the beginning of the universe, the hand of God and so on. And Lemaitre told him, don't wade into this. Just don't say anything because,
yeah, that's right, it could change. And back then they thought the earth was older than the universe. That was quite embarrassing. Well, let's see. We got to get you to your talk, but before we do, I have a gift for you. Not a Nobel prize, but it's called the Keating Prize. It's not too arrogant of me. So it has Arthur C.
Clarke on the front because the podcast comes from him and it says the Keating Prize for impossibly good imagination. And then a meteorite which is a fragment of the early solar system that somehow magnetically attaches to the monolith on the back and has your name on the side. Juan Maldivesena. Thank you so much for coming to see you.
Enjoy. Thank you very much.
And then you'll add it when you win the Nobel Prize. You could add them together.
Right, Right.
Great. Thank you so much for being on. And stay tuned. Watch the lecture on black hole entropy and thermodynamics coming up next.
Juan told us today that he thinks the structure of space time is built out of quantum entanglement and that the deepest problem in physics isn't black holes, it's the big bang. Now, if that changes how you think about reality, reality. Hit subscribe and turn on notifications. Drop a comment, let me know what problem you think Einstein would most like to see solved if he came back. And you'll want to go deeper. And check out Juan's two part lecture on my second channel, Keating Experiments. I'll link down here. And if you want to go deeper, you're going to want to watch my conversation with Leonard Susskind talking about the black hole wars using the language that he and Juan invented.
The link is right here. Don't forget to like, comment and subscribe and I'll see you next time.
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More from this recording
💡 Speaker bios
Brian Keating is a renowned physicist celebrated for his insightful work on black holes and foundational concepts like the holographic principle. Throughout his distinguished career, he has not only explored the profound mysteries of the universe, but has also made complex ideas accessible to broader audiences. Known for emphasizing the realities and imperfections of cosmic phenomena—such as reminding listeners that there’s no perfectly isolated hydrogen atom or an idealized Schwarzschild black hole—Keating bridges the gap between cutting-edge theory and everyday understanding. His storytelling fosters curiosity while grounding some of the wildest cosmic questions in scientific nuance.
💡 Speaker bios
Juan Maldacena is a renowned theoretical physicist whose work has illuminated some of the universe’s deepest mysteries. In recent years, as experimental evidence for black holes has mounted—from detecting gravitational waves produced by cosmic collisions to capturing images of the matter swirling near the black hole at the center of the Milky Way—Maldacena has been at the forefront of exploring what black holes can teach us. He finds it particularly surprising and fascinating that black holes naturally arise from gravitational collapse and are a common part of the universe. Beyond this, Maldacena has delved into the unexpected connections between black holes and thermodynamics, uncovering how these cosmic giants possess properties like entropy and temperature. His research has not only deepened our understanding of black holes but also revealed profound links between gravity, quantum mechanics, and the fundamental laws of physics.
🔖 Titles
Juan Maldacena on Wormholes, Entanglement, and the Deepest Mysteries of the Universe
Understanding Space, Time, and Quantum Gravity with Juan Maldacena and Brian Keating
The Holographic Principle, Black Holes, and ER=EPR Explained by Juan Maldacena
From Black Holes to the Big Bang: Quantum Insights with Juan Maldacena
Juan Maldacena Discusses the Holographic Universe and the Origin of Reality
Exploring Quantum Gravity and the Big Bang with Juan Maldacena
The Connection Between Wormholes and Entanglement with Juan Maldacena
What Black Holes Reveal About Quantum Information and the Nature of Reality
Juan Maldacena on Traversable Wormholes, String Theory, and the Nature of Space-Time
Black Holes, Hawking Radiation, and the Holographic Principle: Insights from Juan Maldacena
💬 Keywords
wormholes, quantum entanglement, ER equals EPR, Einstein Rosen bridge, black holes, quantum gravity, Big Bang, holographic principle, Hawking radiation, entropy, thermodynamics, general relativity, quantum mechanics, information paradox, gravitational waves, cosmological constant, string theory, AdS/CFT correspondence, de Sitter space, strong interactions, fermions, gauge theory, primordial black holes, dark matter, dark energy, Wick rotation, imaginary time, Lorentz transformations, cosmology, quantum field theory
ℹ️ Introduction
Introduction
What if two of Einstein's strangest ideas—wormholes and quantum entanglement—are actually the same thing? On today’s episode of the INTO THE IMPOSSIBLE Podcast, host Brian Keating sits down with renowned physicist Juan Maldacena , whose groundbreaking work has reshaped our understanding of black holes, the holographic principle, and the very fabric of space-time.
Juan Maldacena unpacks the fascinating concept of ER = EPR, the possibility that the structure of space-time itself is woven from quantum information. He shares the problem in physics he most wants to solve—hint: it’s bigger than black holes—and offers deep insights into how theoretical advances in black hole physics have changed our understanding of cosmology and the origins of the universe. We’ll also dive into the nature of the holographic principle, the intricate connection between mathematics and reality, and whether traversable wormholes are possible—at least, outside the fantasies of science fiction.
So, buckle in as we traverse the boundaries of knowledge with Juan Maldacena , exploring black hole entropy, quantum gravity, and what Einstein himself might think of modern physics.
📚 Timestamped overview
00:00 The section discusses recent experimental evidence supporting the existence of black holes, including observations of gravitational waves, imaging near the Milky Way's central black hole, and star orbits, and highlights the intriguing concept of black hole thermodynamics and their associated entropy and temperature.
04:41 The holographic principle suggests that quantum gravity in a region can be described by a quantum mechanics theory on its boundary, applicable in specific universes that are infinitely large and have different physical laws and cosmological constants than our own universe.
08:30 The section discusses aershast theories and models as a means to achieve a quantum version of general relativity, with the goal of ultimately understanding quantum gravity in the real world.
11:05 The section discusses whether information that falls into a black hole is lost forever or if it is subtly contained in the emitted Hawking radiation, highlighting the importance of this question in understanding the interplay between quantum mechanics and gravity.
13:55 The discussion addresses how Hawking radiation, despite being unobservable in current astrophysical black holes, has inspired theoretical developments in understanding fluctuations in expanding cosmologies, particularly during early inflationary periods.
17:48 The section discusses how considering the Euclidean version of an expanding de Sitter universe, which involves altering the time metric to become purely spatial, can help compute thermodynamic properties of the de Sitter space by solving the evolution in imaginary time to calculate the thermal partition function.
21:36 The discussion explores the perplexing effectiveness of mathematics in describing physical reality, highlighting how concepts like Poisson brackets in classical mechanics and commutation relations in quantum mechanics lead to significant yet seemingly abstract results, such as the emergence of quantum mechanics and the role of imaginary numbers, questioning their realness.
22:28 Lorentz, known for Lorentz transformations, used complex numbers to simplify the calculations of water flow and dam design, reassuring that final measurements would be real, a common practice in engineering to handle oscillations efficiently.
28:42 The text discusses that while the curvature of spacetime is determined by matter density, the necessity for matter to adhere to classical constraints like non-negative energy prevents configurations such as wormholes that would enable faster-than-light travel.
29:21 In quantum mechanics, you can have a small amount of negative energy, but not enough to create wormholes for faster-than-light travel, as both relativity and quantum mechanics laws prohibit such phenomena, though they allow hypothetical wormholes with longer travel times.
33:12 The discussion highlighted how scientists like Lemaitre, a priest who helped develop the Big Bang theory, exemplify the reconciliation of faith and science, suggesting that although scientific progress may necessitate changes in religious understanding, religion can offer insights into issues stemming from science.
35:48 Juan believes spacetime is constructed from quantum entanglement and considers the big bang, rather than black holes, as the most critical issue in physics, encouraging viewers to watch related content on his channel and join discussions about Einstein's potential interests.
📚 Timestamped overview
00:00 Black holes and thermodynamics
04:41 Explaining the holographic principle
08:30 Exploring quantum gravity models
11:05 The black hole information paradox
13:55 Hawking radiation and cosmic expansion
17:48 Understanding thermodynamics in cetar space
21:36 Discussing math in classical mechanics
22:28 Using complex numbers in engineering
28:42 Curvature and constraints in spacetime
29:21 Quantum mechanics and wormholes
33:12 Reconciling science and faith
35:48 Discussing quantum entanglement theory
❇️ Key topics and bullets
Sequence of Topics Covered
1. Introduction to Wormholes, Entanglement, and Guest Background
Brian Keating introduces the episode and Juan Maldacena
Overview of Einstein's strangest ideas: wormholes and quantum entanglement
Juan Maldacena 's work relating the Einstein-Rosen and Einstein-Podolsky-Rosen papers
The concept “ER equals EPR”
Implications for the structure of spacetime and quantum information
2. Black Holes: Theory, Observation, and Information Paradox
Connection between black holes, entropy, and information preservation
Tension between general relativity and quantum mechanics about information loss
Experimental evidence for black holes: gravitational waves, imaging, and star orbits
Discussion of black hole thermodynamics: entropy, temperature, and its novelty to Einstein
3. Einstein’s Predictions and Peer Review
Gravitational waves: prediction, skepticism, and experimental confirmation
The story of rejection and resubmission of Einstein's paper
The value of peer review in physics
4. The Holographic Principle and Real Black Holes
Explanation of the holographic principle
Description of quantum gravity in a region through boundary quantum mechanics
Applicability to certain types of universes (e.g., AdS)
Limitations and distinctions from our universe
Strongly interacting particles and the challenge of solving boundary theories
5. Technical Discussion of Holography and Quantum Gravity
Boundary versus bulk descriptions (particles vs gravity)
Emergent property of gravity from strongly interacting boundary theories
Examples producing general relativity and string theory in special cases
Remaining questions about the necessity of string theory
6. Black Hole Entropy and Information Loss
What happens when objects (e.g., a laptop) fall into a black hole
Calculation and interpretation of black hole entropy (surface area law)
Whether information is lost forever—Hawking radiation and the information paradox
Importance of reconciling quantum mechanics and gravity in this context
7. Black Holes, Hawking Radiation, and Cosmology
Realistic black holes and the irrelevance of Hawking radiation for astrophysical cases
Theoretical importance of Hawking radiation
Link between black hole thermodynamics and cosmological structure formation (inflation, primordial fluctuations)
Hawking radiation’s influence on theories of the early universe
8. Primordial Black Holes and Dark Matter/Energy
Observational bias toward large black holes; small ones more relevant for radiation
Discussions about primordial black holes as dark matter or dark energy candidates
Juan Maldacena evaluates plausibility versus other particle physics models
Hawking radiation in the context of small/primordial black holes
9. Philosophical and Foundational Physics Papers
Discussion about Juan Maldacena ’s paper “Real Observers Solving Imaginary Problems”
Use of Euclidean spacetime (“Wick rotation”) and its implications
Thermodynamics of de Sitter space
Technical debate over the mathematical properties (sign issues, observer’s role)
Process of scientific correction and collaboration
10. The Use of Mathematical Tricks in Physics
Discussion of “Wick rotation” as a mathematical trick
Broader discussion on the utility and implications of complex numbers, quaternions, etc.
The relationship between mathematical formalism and physical reality
11. ADS/CFT Correspondence (Maldacena’s Work)
Origin and definition of the Anti de Sitter/Conformal Field Theory (ADS/CFT) correspondence
ADS space (negative cosmological constant)
Conformal Field Theory (CFT) explained
Example of the holographic principle in action
Popularity and impact of the discovery in the physics community
Limitations: ADS not describing our universe (which is more like de Sitter space)
12. Traversable Wormholes and Physics vs. Science Fiction
Definition and visualization of wormholes in spacetime
Conditions disallowing science-fiction-style traversable wormholes (faster-than-light travel)
Consistency between relativity, quantum mechanics, and allowed spacetime geometries
Possibility of non-trivial topology wormholes (non-faster-than-light, requiring exotic matter)
Microscopic and macroscopic considerations for humanly traversable wormholes (tidal forces, scale)
13. Artificial Intelligence, Physics, and Discovery
Speculation on the potential role of AI (LLMs, GPUs) in physics research
Discussion about whether AIs can create new physics
14. Science, Religion, and Ethics
Personal reflections on reconciling faith and science
Examples from scientific history (Galileo, Lemaitre and the Big Bang)
The relationship between scientific progress and evolving religious interpretation
Morality and wisdom in science; the call for “artificial wisdom”
15. Closing and Awards
Brian Keating presents a symbolic award to Juan Maldacena
Encouragement to watch lectures and continue exploring related topics on the podcast’s platform
👩💻 LinkedIn post
🎙️ Just had the tremendous honor of hosting Juan Maldacena , one of the world’s leading theoretical physicists, on the latest episode of the INTO THE IMPOSSIBLE podcast. Our wide-ranging discussion explored the nature of black holes, the fabric of spacetime, and the deepest mysteries of the universe.
Here are 3 key takeaways for anyone curious about the fundamental nature of reality:
ER=EPR (Wormholes & Entanglement): Juan Maldacena emphasized the profound idea that Einstein’s theories of wormholes and quantum entanglement could actually be two sides of the same coin. If true, this suggests that spacetime itself may be built from quantum entanglement. 00:00:00
Black Hole Information Paradox: The fate of information falling into black holes still pits quantum mechanics against general relativity. While classical physics suggests information is lost, quantum theory requires its preservation—solving this puzzle could reveal the true nature of quantum gravity. 00:10:06
The Big Bang’s Deepest Secret: Even beyond black holes, Juan Maldacena argued that the most critical unsolved problem is understanding the very beginning of the universe: what happened at the Big Bang? 00:01:03
🙌 Dive deeper into this fascinating conversation and hear why Juan Maldacena believes bold ideas are essential for progress in science.
#Physics #Cosmology #QuantumGravity #Spacetime #BlackHoles #INTOtheIMPOSSIBLE
🔗 Full episode link in the comments!
🧵 Tweet thread
🌀 What if WORMHOLES and QUANTUM ENTANGLEMENT are… the same thing? 🕳✨
🧵👇 Thread on mind-bending ideas from Juan Maldacena and Brian Keating:
1/
Einstein had TWO revolutionary ideas: wormholes (bridges in spacetime) and quantum entanglement (spooky action at a distance).
Juan Maldacena has spent his career showing… they may be two sides of the SAME coin! 00:00:00
2/
It’s called ER=EPR. If Juan Maldacena is right, spacetime itself is woven from quantum information.
This means every connection, every thread of reality, emerges from entanglement. 00:00:34
3/
Remember Hawking radiation? Juan Maldacena explains that info thrown into a black hole isn’t lost—it subtly leaks out over time!
But this still puzzles physicists: relativity says info is lost, quantum mechanics says it CAN’T be. 00:00:42
4/
So what problem does Juan Maldacena most want solved before he dies?
Not black holes… but the ORIGIN of the universe!
“The most important problem of quantum gravity is to understand the beginning of the Big Bang.” 00:01:03
5/
On the infamous holographic principle: it suggests our universe could be described by a lower-dimensional theory written on its boundary—like a cosmic hologram.
But Juan Maldacena says: "as applied to our universe, we don’t know if it’s correct." 00:04:34
6/
Why care about black holes at all if Hawking radiation is essentially unobservable?
Because this “irrelevant” effect in black holes led to understanding THE fluctuations that gave our universe its very structure. 00:15:22
7/
Theoretical tricks with imaginary numbers—it’s not just math. As Juan Maldacena says:
“They’re tricks used so often and so much, there’s got to be something deep about them.” 00:23:33
8/
Are traversable wormholes possible?
Bad news for sci-fi fans:
“The laws of physics as we know them DO NOT allow wormholes you can use to send messages faster than light.” 00:30:12
9/
Oh, and if you tried to make a human-sized wormhole, tidal forces would kill you unless it’s Earth-sized. So no quick shortcuts to Andromeda 😅 00:31:34
10/
At the deepest level, black holes, quantum weirdness, and the Big Bang all connect.
Juan Maldacena urges us to keep seeking, and maybe someday, spacetime's secrets will finally unravel. 00:35:48
What do YOU think is the biggest unsolved mystery in physics?
👇 Let’s debate in the replies!
#Physics #BlackHoles #QuantumEntanglement #BigBang #Cosmology #JuanMaldacena #BrianKeating
🗞️ Newsletter
INTO THE IMPOSSIBLE Podcast Newsletter
Episode Spotlight: Juan Maldacena – Wormholes, Entanglement, and the Secrets of Spacetime
🌀 What If Wormholes and Entanglement Are the Same Thing?
This week on the INTO THE IMPOSSIBLE Podcast, Brian Keating welcomes back legendary physicist Juan Maldacena . In an eye-opening conversation, Juan Maldacena breaks down the astonishing idea that two of Einstein’s strangest concepts—wormholes and quantum entanglement—are actually deeply connected. Known as "ER = EPR," this theory suggests the very structure of spacetime may be woven from quantum information itself. (00:00:00)
🔍 Big Ideas Explored
Black Holes as Laboratories: Juan Maldacena explains how black hole collisions, gravity waves, and imaging evidence are revolutionizing our understanding of the cosmos (00:02:06).
The Holographic Principle: Could all of reality be a projection from the “boundary” of the universe? Juan Maldacena unpacks this mind-bending idea, showing how black holes and even our universe might be decoded from quantum theory (00:04:41).
Information Paradox & Hawking Radiation: What happens when you throw your laptop into a black hole? Is its information lost forever? Juan Maldacena walks us through the clash between quantum mechanics and general relativity (00:09:26).
The Biggest Mystery: The real puzzle, says Juan Maldacena , isn't just black holes—it's understanding the very beginning of the Big Bang itself (00:12:25).
🏆 Science Meets Philosophy
Brian Keating and Juan Maldacena don’t just stay in the realm of equations. They take on philosophical questions:
Why is math so freakishly effective in describing reality (00:21:41)?
Can wisdom be automated like intelligence (00:34:12)?
Where do science and religion intersect, and can they illuminate each other (00:33:12)?
✨ Fun Fact
Things get playful as Brian Keating awards Juan Maldacena the “Keating Prize for Impossibly Good Imagination”—complete with a magnetically attached meteorite! (00:35:19)
⭐ Don’t Miss:
Brian Keating’s full conversation with [Leonard Susskind] (Juan’s collaborator in “the black hole wars!”)
Juan Maldacena’s two-part lecture on black hole entropy and thermodynamics on Keating Experiments (00:36:07)
Let us know—what cosmic mysteries keep you up at night? Reply or leave a comment on YouTube!
Stay curious,
The INTO THE IMPOSSIBLE Team
Like what you’re hearing?
Subscribe, rate, and share the podcast! And don’t forget to check out our archive for more conversations bridging science, philosophy, and imagination.
❓ Questions
Discussion Questions
What does Juan Maldacena mean by “ER = EPR,” and how does this concept relate wormholes to quantum entanglement?
How does the holographic principle change our understanding of what information is and where it’s stored in the universe, according to Juan Maldacena at 04:41?
Juan Maldacena identifies the beginning of the Big Bang as the most important unsolved problem in quantum gravity. Why does he consider it more significant than the black hole information problem 12:25?
What are the challenges in applying the holographic principle to our own universe, as described by Juan Maldacena at 04:34?
Why is Hawking radiation effectively unobservable in astrophysical black holes, and what role does it play theoretically, as discussed at 13:11?
Juan Maldacena speaks about the theoretical limitations of traversable wormholes. What does current physics say about their possibility, and why would they violate fundamental laws 30:12?
The conversation touches on the usefulness of complex numbers and other mathematical structures in physics. Why do you think mathematics, specifically imaginary numbers, is so effective for describing the physical world 22:25?
What is the significance of the AdS/CFT correspondence, and why does Juan Maldacena believe it might help us understand the real universe, even though we don't live in an Anti-de Sitter space 25:06?
Discuss Juan Maldacena ’s perspective on the relationship between science and religion. How does he reconcile scientific progress with religious belief 33:12?
How has the study of black holes contributed unexpectedly to cosmology—particularly in understanding the origin of cosmic structure—as described by Juan Maldacena at 15:27?
curiosity, value fast, hungry for more
✅ What if the fabric of reality is woven from quantum information itself?
✅ Juan Maldacena reveals why wormholes and quantum entanglement might be two sides of the same cosmic coin.
✅ On The INTO THE IMPOSSIBLE Podcast, Brian Keating dives deep with one of the world’s most influential physicists into black holes, the holographic principle, and the ultimate mysteries of the Big Bang.
✅ The answers could challenge everything you think you know about space, time, and the universe—don’t miss this mind-bending conversation!
Conversation Starters
Conversation Starters for the Facebook Group
Juan Maldacena suggests that wormholes and quantum entanglement might be two sides of the same coin (ER = EPR). Do you think space-time could really be built out of quantum information? Why or why not?
The holographic principle was explained by Juan Maldacena as a potential way to describe quantum gravity. How does this idea challenge or change your understanding of the universe?
Brian Keating asked what problem in physics Juan Maldacena most wants to solve, and he answered: understanding the beginning of the Big Bang. If you could solve any outstanding mystery in physics, which would you choose and why?
Juan Maldacena discusses how Hawking radiation inspired major developments in cosmology, even though we can’t observe it directly from astrophysical black holes. What other “impractical” or unobservable phenomena do you think could have profound impacts on our understanding of the universe?
The podcast touches on the relationship between science and religion, referencing notable scientists like Lemaitre who was also a priest. How do you reconcile or contrast scientific and religious worldviews in your own thinking?
With all the amazing advancements in AI, Brian Keating and Juan Maldacena discuss whether artificial intelligence could ever help solve fundamental physics questions. Do you think AI will play a major role in future physics breakthroughs?
The episode gets philosophical about the role of imaginary numbers and “tricks” in mathematics. Do you see math as a fundamental truth of the universe or simply a useful tool for describing observations?
What are your reactions to the idea that traversable, science-fiction-style wormholes are forbidden by our current understanding of physics? Do you think future discoveries could overturn these limitations?
Juan Maldacena talks about how mathematical “mistakes” and unexpected connections can lead to major advances (and even Nobel Prizes). Can you think of a favorite historical example—or a personal experience—where a mistake led to insight?
After hearing Juan Maldacena ’s perspective, do you think we’ll ever achieve a complete theory of quantum gravity? What do you see as the biggest barrier?
🐦 Business Lesson Tweet Thread
🧵 What if the universe is just information?
1/ Imagine if Einstein’s wildest ideas—wormholes and quantum entanglement—are actually the same thing.
(Juan Maldacena has spent his career showing this might be true.)
2/ That’s ER=EPR: Spacetime built from quantum entanglement.
It's not sci-fi. It's the foundation for the next physics revolution.
(00:00:21)
3/ Black holes aren’t just cosmic garbage disposals.
They store information on their surface, measured as entropy.
(00:10:18)
4/ But throw your laptop into a black hole, and in classical physics, it’s gone—forever.
Quantum mechanics says: not so fast.
The info is somehow still there, hidden in subtle radiation.
(00:09:26)
5/ This clash between gravity and quantum rules isn’t just an academic debate.
It hints that reality is made of math and information—code running on the cosmic mainframe.
(00:12:15)
6/ The "holographic principle" says everything inside a region (even a universe) might be described by data living on its boundaries.
Think: your 3D world as a 2D code.
(00:04:41)
7/ The real prize?
If we crack this, maybe we’ll finally understand the true beginning: the Big Bang isn’t just an explosion. It's an information boot-up.
(00:12:29)
8/ Business or science—bet on ideas that seem impossible.
They’re often just waiting for the right mind to flip the code.
✏️ Custom Newsletter
INTO THE IMPOSSIBLE Podcast: Juan Maldacena on Wormholes, Black Holes, and the Big Bang 🚀✨
Hey Impossible Thinkers!
We’re thrilled to drop our latest episode, featuring none other than Juan Maldacena —one of the most influential physicists of our time! Join Brian Keating and Juan Maldacena for a mind-bending journey through the deepest mysteries of the cosmos.
🎧 What’s Inside This Episode?
This episode is packed with cosmic insights and “aha!” moments. Here are 5 keys you’ll learn when you tune in:
ER = EPR Explained
Juan Maldacena breaks down how wormholes and quantum entanglement might just be two sides of the same spacetime coin.The Holographic Principle Demystified
Can the universe be fully described at its boundary? Learn what the holographic principle really means, and why it might (or might not) apply to our universe.Black Holes in the Real World
What really happens when you toss your laptop into a black hole? Discover why the information paradox matters for physics— and what it teaches us about reality.Why Hawking Radiation is Elusive
Even though it’s one of the coolest theoretical predictions, find out why nobody’s seen Hawking radiation from real black holes yet—and why that’s actually okay!The Biggest Unsolved Problem in Physics
Think black holes are tough? Juan Maldacena thinks understanding the beginning of the Big Bang is the real challenge. Hear why he’s laser-focused on this cosmic puzzle.
🤩 Fun Fact
Did you know? The infamous “cosmological constant”—the so-called “biggest blunder” of Einstein’s career—is now a central part of modern cosmology (take it from Juan Maldacena at 03:37). Sometimes, your mistakes are just ahead of their time.
🎬 Outtro
By the end of this episode, you’ll be buzzing with new ideas about black holes, the universe’s structure, and why the early moments of the cosmos are still shrouded in mystery. Whether you’re a physics geek or just cosmic-curious, this one’s a must-listen.
🚀 Join the Conversation!
Hit play and let your imagination warp with space-time!
If you enjoy the episode, please subscribe, leave a review, and share it with a fellow stargazer.
Let us know: what problem do you wish Einstein could come back and solve? Reply to this email or drop a comment on our YouTube channel!
Stay curious,
The INTO THE IMPOSSIBLE Team
🎓 Lessons Learned
1. Wormholes and Entanglement Connection
ER = EPR: wormholes and quantum entanglement might be fundamentally linked, suggesting spacetime emerges from quantum information.
2. Black Hole Thermodynamics
Black holes possess entropy and temperature, connecting thermodynamics with gravity in surprising and profound ways.
3. Information Paradox Puzzle
Quantum mechanics demands information conservation, while general relativity predicts information loss in black holes, creating deep conflict.
4. Holographic Principle Explained
Quantum gravity in a region can be described by a quantum theory living on the region’s boundary surface.
5. Boundaries and Emergent Gravity
Particles on boundary can describe emergent gravity; gravity might be an approximation, not fundamental, in this framework.
6. Hawking Radiation’s Implications
Hawking radiation, though unobservable for astrophysical black holes, inspired key ideas in cosmology and quantum gravity theories.
7. Fluctuations and Structure Formation
Quantum fluctuations, related to Hawking’s ideas, explain the universe’s primordial inhomogeneities and the origin of cosmic structure.
8. Traversable Wormholes Limitations
Traversable wormholes that allow faster-than-light travel are ruled out by fundamental laws of relativity and quantum mechanics.
9. Complex Numbers in Physics
Imaginary numbers are powerful mathematical tools—not directly measurable but vital for simplifying and solving physical problems.
10. Science, Religion, and Wisdom
Science and religion need not be in conflict; scientific progress sometimes informs, but does not replace, questions of wisdom.
10 Surprising and Useful Frameworks and Takeaways
Ten Most Surprising and Useful Frameworks & Takeaways
1. ER = EPR: Wormholes and Entanglement as the Same Idea
Juan Maldacena argues that the connection between the Einstein-Rosen bridge (wormholes) and Einstein-Podolsky-Rosen (quantum entanglement) may be two aspects of the same underlying phenomenon, known as ER = EPR. This radically suggests that the fabric of spacetime itself could be constructed from quantum entanglement 00:00:00, 00:02:00.
2. The Holographic Principle
This principle posits that all the information contained within a volume of space can be described by a theory that exists on its boundary, with no gravity inside. It's concretely realized in AdS/CFT correspondence, revolutionizing our conception of dimensionality and quantum gravity 00:04:41.
3. Black Hole Thermodynamics: Entropy and Temperature
Black holes are not just cosmic vacuum cleaners; they possess entropy and temperature, linking gravity to thermodynamics and information theory, and providing a profound consistency check between quantum mechanics and general relativity 00:02:37, 00:10:01.
4. Information is Not Lost in Black Holes (in Principle)
Despite appearances, when objects fall into black holes, their information may be encoded in subtle ways in Hawking radiation, addressing the famous black hole information paradox and compelling a deeper reconciliation of relativity and quantum theory 00:10:47.
5. Hawking Radiation Inspires Cosmology
Theoretical work on Hawking radiation for black holes unexpectedly inspired the understanding of quantum fluctuations during cosmic inflation, explaining the universe’s large-scale structure 00:14:28.
6. Practical Limits of the Holographic Principle in Our Universe
Though powerful, the holographic principle is best-understood in certain special (AdS) universes. Its direct application to our (de Sitter) universe remains unproven, so it serves more as a conceptual tool and source of analogies than direct evidence 00:04:34, 00:26:27.
7. Wick Rotations and the Utility of Imaginary Numbers
Shifting between real and imaginary time (Wick rotations) is more than a mathematical trick—it's a key to calculating thermodynamic properties and connecting quantum and classical descriptions, despite always needing to measure real values physically 00:21:19, 00:22:25.
8. Limitations of Traversable Wormholes
While science fiction loves the notion, general relativity combined with quantum field theory prohibits humanly traversable wormholes that allow faster-than-light travel, as these would break causality and relativity—only very constrained, indirect forms may exist 00:28:11, 00:29:31.
9. Quantum Gravity's Greatest Mystery: The Beginning of the Big Bang
Despite black holes’ mysteries, the true holy grail for Juan Maldacena is understanding quantum gravity at the beginning of the universe—how spacetime and quantum reality emerge from the Big Bang 00:01:03, 00:12:29.
10. Science and Religion: Complementary Tools for Wisdom
Juan Maldacena notes that while science yields knowledge and technology, moral wisdom and broader meaning may require frameworks outside science—including religious traditions—highlighting the need for both “artificial intelligence” and “artificial wisdom” 00:33:54.
These frameworks from Juan Maldacena and Brian Keating's conversation push us to rethink the universe’s fabric, the nature of information, and the synergies between physics, math, and philosophy.
Clip Able
Clip 1: "Are Wormholes and Quantum Entanglement the Same Thing?"
Timestamps: 00:00:00 - 00:03:04
Caption:
Juan Maldacena explains how Einstein’s two “strangest ideas”—wormholes and quantum entanglement—might actually be the same. He shares how modern physics links the famous Einstein-Rosen and Einstein-Podolsky-Rosen papers, discusses the black hole information puzzle, and what he’d personally ask Einstein if they could have 10 minutes together.
Clip 2: "What Is the Holographic Principle?"
Timestamps: 00:04:21 - 00:08:28
Caption:
Dive into the mind-bending “holographic principle” with Juan Maldacena . He breaks down what it means to describe quantum gravity by a quantum theory on the boundary, how this idea connects to black holes, real-world limitations, and what it tells us about the universe—even if our own isn’t a perfect match.
Clip 3: "Does Information Disappear in a Black Hole?"
Timestamps: 00:09:16 - 00:12:36
Caption:
If you throw your laptop into a black hole, is its information gone forever? Juan Maldacena tackles the infamous black hole information paradox, why Hawking radiation matters, and why the biggest challenge in quantum gravity is actually understanding the Big Bang—not just black holes.
Clip 4: "The Unexpected Connection: Black Holes and the Early Universe"
Timestamps: 00:13:11 - 00:16:01
Caption:
Juan Maldacena reveals how studying black holes accidentally led to a breakthrough explanation of why the universe has any structure at all. Hear how Hawking radiation inspired key ideas in cosmology and why understanding black holes might help us uncover the secrets of the Big Bang.
Clip 5: "Traversable Wormholes: Fact or Science Fiction?"
Timestamps: 00:27:03 - 00:31:49
Caption:
Are humanly traversable wormholes possible—or forever science fiction? Juan Maldacena breaks down exotic space-time tunnels, the physics that forbid faster-than-light travel, and the mind-boggling requirements for real wormholes, from negative energy to Earth-sized passages.
💡 Speaker bios
Brian Keating is a renowned physicist and science communicator, well known for discussing the mysteries of the universe, including black holes and the holographic principle. Through his engaging conversations, Brian makes complex topics accessible—even to non-scientists—debunking common misconceptions about black holes and reality. For example, he points out that idealized concepts like the perfectly isolated hydrogen atom or a true Schwarzschild black hole don’t exist in nature due to constant cosmic perturbations. Throughout his distinguished career, Brian Keating continues to bridge the gap between cutting-edge physics and the curious public, inspiring deeper questions about the universe.
💡 Speaker bios
Juan Maldacena is a renowned theoretical physicist whose work has shed remarkable light on the mysteries of black holes and the universe. Growing up fascinated by the cosmos, Maldacena found one of the most surprising discoveries to be that black holes are not just theoretical oddities but actual, natural products of gravitational collapse. In recent years, with breakthroughs ranging from gravitational wave detections to the imaging of matter swirling around the Milky Way’s central black hole, his field has amassed compelling experimental evidence for their existence.
But it’s not just their observational discovery that excites Maldacena. He is especially intrigued by black hole thermodynamics—the idea that black holes are governed by laws similar to those of heat and energy, possessing both entropy and temperature. This deep connection between the physics of gravity and thermodynamics continues to inspire Maldacena as he shares and expands the boundaries of our understanding of the universe.
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