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Do Black Holes Destroy Information? · The Quark Side - Quantum Physics Podcast

0:01
Speaker 1: Welcome to the quart Side Quantum Physics Podcast, an exploration
0:05
Speaker 1: of the fundamental structure of reality, where quantum laws govern matter, energy,
0:11
Speaker 1: and information. Here, uncertainty is a feature, not a flaw,
0:16
Speaker 1: and understanding begins at the smallest scales.
0:27
Speaker 2: Imagine you have a highly secure, completely indestructible cosmic vault.
0:33
Speaker 3: Like a safe of just absolute perfection.
0:36
Speaker 2: Yeah, exactly, a safe so perfect that the laws of
0:40
Speaker 2: physics themselves basically guarantee nothing can ever break into it. Yeah,
0:43
Speaker 2: and nothing placed inside can ever be retrieved.
0:46
Speaker 3: Right, It's a one way trip, exactly.
0:49
Speaker 2: Now, Suppose you take the world's most detailed encyclopedia, like
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Speaker 2: a massive compilation of every historical event, every scientific discovery,
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Speaker 2: every nuance of human thought, and you lock it inside
1:01
Speaker 2: this vault.
1:01
Speaker 3: It's locked away for good, right.
1:03
Speaker 2: And for decades the absolute greatest minds in physics promised
1:07
Speaker 2: us that the book was safe, hidden, sure, completely inaccessible
1:10
Speaker 2: to us, obviously, but fundamentally preserved in the fabric of.
1:13
Speaker 3: Reality, which is comforting. You know, the idea that the
1:15
Speaker 3: universe keeps its receipts.
1:17
Speaker 2: Yeah, But today we're going to look at the terrifying
1:20
Speaker 2: mathematical proof the vault doesn't just permanently lock it Actually
1:24
Speaker 2: it slowly and agonizingly dissolves into just random futureless scatting,
1:28
Speaker 2: which is a huge problem, a massive problem, because in
1:31
Speaker 2: that process it completely erases that book from the history
1:35
Speaker 2: of the universe.
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Speaker 3: It's a scenario that genuinely kept physicists awake at night
1:39
Speaker 3: for the better part of forty years.
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Speaker 2: Wow, really forty years.
1:42
Speaker 3: Oh absolutely, because if that encyclopedia is truly e raised,
1:46
Speaker 3: I mean, if the data of the universe can actually
1:48
Speaker 3: be permanently deleted, then the absolute bedrock of modern science
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Speaker 3: just crumbles.
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Speaker 2: It breaks everything we.
1:54
Speaker 3: Know it does. We are talking about the ultimate clash
1:57
Speaker 3: of physics titans here, the most profound fault line in
2:00
Speaker 3: our entire understanding of reality.
2:02
Speaker 2: So, for you listening, we're dealing with two undisputed heavyweights
2:05
Speaker 2: in physics here, and they are both up until this point,
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Speaker 2: completely undefeated in their own arenas. On one side, we
2:12
Speaker 2: have general relativity.
2:13
Speaker 3: Umber Einstein's absolute masterpiece, right.
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Speaker 2: The framework that dictates gravity, planetary orbits, colliding galaxies, all
2:19
Speaker 2: the massive large skull structure of the cosmos. General relativity
2:23
Speaker 2: treats space and time as this single woven fabric a.
2:27
Speaker 3: Smooth, continuous geometric manifold.
2:31
Speaker 2: Yeah, exactly, bends and warps under the weight of stus
2:34
Speaker 2: and planets. It is a world of smooth curves, highly
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Speaker 2: predictable paths, and just absolute.
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Speaker 3: Determinism and then ruling. The completely opposite end of the
2:44
Speaker 3: cosmic scale is quantum mechanics.
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Speaker 2: The realm of the tiny right.
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Speaker 3: The framework of atoms, subatomic particles, the microscopic world. And
2:53
Speaker 3: unlike the smooth, predictable curves of relativity, quantum mechanics is well,
2:58
Speaker 3: it's fundamentally discrete, and it's inherently probabilistic.
3:02
Speaker 2: It's messy, very messy.
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Speaker 3: It operates on wave functions, jittery, uncertainty, discrete packets of
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Speaker 3: energy called quanta, and most importantly for what we're talking
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Speaker 3: about today, it operates on information.
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Speaker 2: And the thing is, both of these theories are phenomenally successful, right.
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Speaker 3: Oh, they are the most rigorously tested mathematical frameworks in
3:20
Speaker 3: human history hands down.
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Speaker 2: Like we literally use general relativity to synchronize the GPS
3:25
Speaker 2: satellites orbiting the Earth. We have to adjust for the
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Speaker 2: fact that time moves slightly faster out there than it
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Speaker 2: does down here on the surface.
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Speaker 3: Yeah, without relativity, Google maps would be useless in a
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Speaker 3: day exactly.
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Speaker 2: And we use quantum mechanics to design microchips, lasers, MRI machines.
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Speaker 2: As long as they stay in their respective lanes, everything
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Speaker 2: works beautifully.
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Speaker 3: The trouble begins when you find a phenomenon in the
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Speaker 3: universe that refuses to respect those boundaries.
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Speaker 2: Right, something that is simultaneously incredibly massive, so it requires
3:55
Speaker 2: general relativity and incredibly tiny, which requires quantum mechanics.
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Speaker 3: And when you force these two frameworks to sit at
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Speaker 3: the exact same table, they don't just politely disagree with
4:04
Speaker 3: each other.
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Speaker 2: No, they start throwing punches, they.
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Speaker 3: Produce catastrophic mathematical infinities. They just fundamentally contradict each other.
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Speaker 2: And the ultimate battleground where this entire contradiction plays out
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Speaker 2: is inside a black hole. Because when a star collapses
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Speaker 2: into a singularity, you have the mass of multiple suns
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Speaker 2: crushed down into this microscopic, quantum sized speck.
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Speaker 3: So you need both rule books.
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Speaker 2: You need both, but when you try to apply them
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Speaker 2: simultaneously to figure out what happens to the information that
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Speaker 2: falls inside, they make completely completely incompatible claims.
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Speaker 3: One says the data is hidden forever. The other says,
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Speaker 3: the data is deleted entirely, which.
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Speaker 2: Birth the black hole information paradox.
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Speaker 3: And if we cannot reconcile this contradiction, it basically means
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Speaker 3: our fundamental grasp of physical reality is deeply, deeply flawed.
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Speaker 2: Okay, let's unpack this because we need to lay down
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Speaker 2: the basic of what a black hole actually is before
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Speaker 2: we get into the mind bending qu some stuff.
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Speaker 3: That's a good idea. To really grasp the horror of
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Speaker 3: the paradox, we have to start with the classical picture.
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Speaker 3: We need to clearly define the trap before we spring it.
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Speaker 2: So, under the classical rules of Einstein's general relativity, a
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Speaker 2: black hole is born from this catastrophic stellar death. You
5:16
Speaker 2: have a massive star exponentially larger than our own sun,
5:19
Speaker 2: right and for millions of years, this star maintains this
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Speaker 2: very delicate, very violent equilibrium.
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Speaker 3: It's basically a constant tug of war. The sheer, unfathomable
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Speaker 3: mass of the star creates a gravitational field that is
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Speaker 3: perpetually trying to crush the star inward. It wants to collapse,
5:37
Speaker 3: It always wants to collapse. But at the exact same time,
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Speaker 3: the core of the star is this raging nuclear furnace
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Speaker 3: doing nuclear fusion exactly, the process of smashing lighter elements
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Speaker 3: together to forge heavier ones, And that fusion releases a
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Speaker 3: colossal amount of energy that pushes outwards.
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Speaker 2: So gravity pulls in, fusion pushes out, and the star.
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Speaker 3: Holds its shape until the fuel finally runs out.
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Speaker 2: Right.
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Speaker 3: When the star exhausts its nuclear material, that fusion engine
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Speaker 3: just sputters and dies. The outward pressure vanishes in an instant.
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Speaker 2: And gravity just wins.
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Speaker 3: Gravity, which never sleeps and never weakens, suddenly has literally
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Speaker 3: zero opposition. The entire mass of the star goes into
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Speaker 3: a catastrophic free fall, collapsing inward on itself.
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Speaker 2: And if the star exceeds a specific mass threshold I
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Speaker 2: think it's called the Tolman Oppenheimer Volkov limit.
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Speaker 3: Yeah, the TV limit. If it's heavier than that, there
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Speaker 3: is no physical force known to science that can halt
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Speaker 3: the collapse.
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Speaker 2: Wow.
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Speaker 3: Not even the repulsion of atoms, not the repulsion of electrons,
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Speaker 3: not the strong nuclear force between neutrons. Nothing. The matter
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Speaker 3: is crushed into a point of such extreme density that
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Speaker 3: the local fabric of space time is warped to an
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Speaker 3: infinite degree.
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Speaker 2: It basically creates a well in space time so deep,
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Speaker 2: so precipitous that a region of the universe becomes completely
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Speaker 2: causally disconnected from the rest of the cosmos.
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Speaker 3: Causally disconnected.
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Speaker 2: That's the key, meaning the chain of cause and effect
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Speaker 2: is just cleanly severed. Nothing that occurs inside that region
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Speaker 2: can ever have an effect on anything outside of.
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Speaker 3: It, right, And the boundary of that causally disconnected region
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Speaker 3: is what we call the event horizon. But it is
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Speaker 3: so vital to understand that the event horizon is not
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Speaker 3: a physical object.
7:18
Speaker 2: It's not a wall.
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Speaker 3: No, it's not a membrane or a surface you could
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Speaker 3: actually touch. It is strictly a mathematical.
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Speaker 2: Threshold, the ultimate point of no return.
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Speaker 3: Exactly mathematically, it is the exact spherical boundary where the
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Speaker 3: escape velocity required to overcome the black hole's gravitational pull
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Speaker 3: equals the speed of light.
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Speaker 2: And since the speed of light is the absolute cosmic
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Speaker 2: speed limit, anything that slips past this boundary would literally
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Speaker 2: need to travel faster than light to get back.
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Speaker 3: Out, which is impossible under relativity.
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Speaker 2: So if a photon of light was traveling straight outward,
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Speaker 2: directly away from the singularity, moving at one hundred and
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Speaker 2: eighty six thousand miles per second. Because the space itself
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Speaker 2: is flowing inward faster than the speed of light, that
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Speaker 2: photon is actually dragged backward into this center.
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Speaker 3: It's like swimming against a river that's moving faster than
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Speaker 3: you can possibly swim. Once you cross the event horizon,
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Speaker 3: all paths through spacetime lead inevitably to the singularity. The
8:14
Speaker 3: future only points inward.
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Speaker 2: Which means anything that falls in is completely excised from
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Speaker 2: the observable universe. And this classical understanding led the physicist
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Speaker 2: John Wheeler to coin a very famous phrase. Right He said,
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Speaker 2: black holes.
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Speaker 3: Have no hair, the no hair theorem.
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Speaker 2: I really want to spend a minute on this because
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Speaker 2: hair is such a bizarre metaphor for physicists to use.
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Speaker 2: What are we actually talking about when we say a
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Speaker 2: black hole is bald?
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Speaker 3: Well? In physics jargon, hair just refers to any complex details,
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Speaker 3: specific traits, or distinguishing information about the matter that originally
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Speaker 3: formed the object.
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Speaker 2: So a normal star has hair, A star.
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Speaker 3: Has a ton of hair. It has a specific chemical composition,
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Speaker 3: a complex magnetic field, topography, temperature variations, convection currents, sunspots.
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Speaker 3: It is incredibly complex.
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Speaker 2: The Wheeler and his colleagues proved mathematically that once a
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Speaker 2: star collapses into a black hole and the space time
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Speaker 2: kind of settles down, almost all of that complexity just
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Speaker 2: vanishes from the observable universe.
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Speaker 3: Every bit of it. The entire black hole can be
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Speaker 3: completely exhaustively described by just three macroscopic numbers, just three mass,
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Speaker 3: electric charge, and angular momentum, which is just the rate
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Speaker 3: of its spin. That is the entire identity of a
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Speaker 3: black hole. Three numbers.
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Speaker 2: Okay, to make this incredibly concrete for the listener, let's
9:30
Speaker 2: go back to the encyclopedia we threw into the vault.
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Speaker 2: But let's add something completely different to the mix.
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Speaker 3: Okay, let's here it.
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Speaker 2: Let's say you throw a massive encyclopedia detailing all of
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Speaker 2: human history into the black hole, and then, just for
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Speaker 2: the sake of comparison, you throw a standard for slice
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Speaker 2: Kischen toaster into the exact same black hole.
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Speaker 3: Two systems with vastly, vastly different microscopic states.
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Speaker 2: Right, The encyclopedia has a specific arrangement of ink molecules
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Speaker 2: forming words pages made of cellulose. The toaster is composed
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Speaker 2: of alloys plastic heating coils they have totally distinct chemical bonds.
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Speaker 3: But according to the no hair theorem, the moment they
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Speaker 3: cross the event horizon, the universe outside is completely wiped
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Speaker 3: of that distinguishing data.
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Speaker 2: The black hole does not retain the toasterness of the
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Speaker 2: toaster or the linguistic data of the encyclopedia.
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Speaker 3: Not at all. The black hole just increments its mass slightly.
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Speaker 3: Maybe the angular momentum shifts a tiny fraction of a degree,
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Speaker 3: depending on the angle the objects fell in at.
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Speaker 2: But if I am standing outside looking at the black hole,
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Speaker 2: I cannot run any test, measure any feel, or perform
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Speaker 2: any observation that will tell me whether the black hole
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Speaker 2: just consumed an encyclopedia or a kitchen appliance.
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Speaker 3: You'd have absolutely no idea. All the microscopic complexity, the
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Speaker 3: exact arrangement of atoms that define the object is swallowed,
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Speaker 3: leaving no signature on the gravitational field outside. The black
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Speaker 3: hole acts as the ultimate cosmic shredder of identity.
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Speaker 2: Now here's where it gets crucial for the paradox. Why
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Speaker 2: were physicists in the nineteen six these and seventies perfectly
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Speaker 2: content with this? Why wasn't the no hair theorem considered
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Speaker 2: an immediate crisis for the laws of physics.
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Speaker 3: Because classical relativity offers a very comforting out a loophole. Exactly,
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Speaker 3: the information wasn't viewed as destroyed. It was simply inaccessible.
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Speaker 3: The assumption was that the toasterness and the words in
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Speaker 3: the encyclopedia still exist in some form, crushed down into
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Speaker 3: the singularity or floating around in the interior space.
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Speaker 2: It's exactly like the locked vault analogy. You can't read
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Speaker 2: the book through the fixed steel walls, but you have
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Speaker 2: the comforting mathematical certainty that the book remains physically present inside.
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Speaker 3: Right, the accounting of the universe is still balanced. The
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Speaker 3: data is hidden, sure, but the universe hasn't suffered amnesia.
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Speaker 3: The rules of determinism still hold because the past state
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Speaker 3: of the universe is safely stored behind the event horizon.
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Speaker 2: And that was the consensus. Black holes were the universe's
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Speaker 2: ultimate safety deposit boxes.
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Speaker 3: But that elegant, comforting picture relied entirely on classical physics.
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Speaker 3: It treated space time as this smooth, empty void, and
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Speaker 3: as physics progressed, it became completely undeniable that this was
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Speaker 3: an incomplete description of.
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Speaker 2: Reality, because it completely ignored the quantum realm. Yes, and
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Speaker 2: when physicists finally started applying the rules of quantum mechanics
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Speaker 2: to the extremely warped space time surrounding the event horizon,
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Speaker 2: the narrative just violently shifted. The vault wasn't static anymore.
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Speaker 3: This is the quantum wrench in the machinery. In nineteen
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Speaker 3: seventy four, Stephen Hawking applied a framework called quantum field
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Speaker 3: theory in curved space time to the edge of the
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Speaker 3: black hole, and the math yielded a monumental, deeply counterintuitive.
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Speaker 2: Discovery that black holes are not entirely bladed.
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Speaker 3: Exactly, they glow. They emit a very very faint radiation
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Speaker 3: Hawking radiation.
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Speaker 2: Now, to understand how a trap from which not even
12:47
Speaker 2: light can escape manages to somehow radiate particles, we have
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Speaker 2: to dramatically alter our view of what empty space actually is.
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Speaker 3: Right, because classical relativity treats a vacuum as a pure void,
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Speaker 3: just an empty stage with no actors on it.
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Speaker 2: Qantum field theory tells us that a true pure void
13:03
Speaker 2: does not exist anywhere the entire universe is permeated by
13:07
Speaker 2: these quantum fields, like an electromagnetic field, an electron field,
13:12
Speaker 2: a quark field.
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Speaker 3: And these fields are never perfectly still. Due to the
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Speaker 3: Heisenberd uncertainty principle. You can never have a field with
13:19
Speaker 3: exactly zero energy for a precise amount of time.
13:22
Speaker 2: The universe inherently jitters.
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Speaker 3: It does. Empty space is basically boiling. It is a
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Speaker 3: frothing sea of quantum fluctuations. Energy is constantly transforming into
13:33
Speaker 3: pairs of particles. A particle and its corresponding antiparticle.
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Speaker 2: They just spontaneously pop into existence.
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Speaker 3: Yet they just pop in borrowing a tiny fraction of
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Speaker 3: energy from the vacuus.
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Speaker 2: It's like nature's accounting system constantly taking out micro loans
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Speaker 2: of energy.
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Speaker 3: That's a great way to put it, a microlan that
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Speaker 3: must be paidback almost instantly. The particle and antiparticle exists
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Speaker 3: for a fleeting, unimaginably brief fraction of a second before
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Speaker 3: they collide, annihilate each other, and return the energy to
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Speaker 3: the vacuum. And this happens everywhere, everywhere, constantly, in the
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Speaker 3: room you were sitting in right now, in the deepest
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Speaker 3: voids between distant galaxies.
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Speaker 2: But it's a closed loop. It happens so fast that
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Speaker 2: on a macroscopic scale, we just perceive the space is empty.
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Speaker 3: Usually yes, But Hacking asked a really brilliant theoretical question.
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Speaker 3: What happens if this spontaneous particle anti particle pair creation
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Speaker 3: occurs right on the absolute razor's edge of a black
14:28
Speaker 3: hole's event horizon.
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Speaker 2: Right on that boundary where space time is flowing inward
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Speaker 2: at the speed of light.
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Speaker 3: Exactly under these extreme conditions, the massive gravitational tidle forces
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Speaker 3: of the black hole can actually interact with this microscopic
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Speaker 3: quantum event. Imagine the pair pops into existence.
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Speaker 2: Okay, I'm picturing it, but before they.
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Speaker 3: Have the chance to magnetically attract and annihilate each other,
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Speaker 3: the tidle forces just rip them apart. One particle happens
14:52
Speaker 3: to form just inside the mathematical boundary of the event horizon,
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Speaker 3: the other forms just outside.
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Speaker 2: Oh wow, So the particle inside is doomed. It is
15:00
Speaker 2: instantly swept inward towards the singularity.
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Speaker 3: But the particle on the outside finds itself free of
15:06
Speaker 3: its partner. It has positive energy, and if the trajectory
15:09
Speaker 3: is just right, it has just enough velocity to escape
15:12
Speaker 3: the black hole's gravitational pull and fly out into deep space.
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Speaker 2: So to a distant observer looking at the black hole,
15:19
Speaker 2: it appears as though the black hole just emitted a particle.
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Speaker 2: It is radiating.
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Speaker 3: It is radiating.
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Speaker 2: But wait a minute. We established that the universe demands
15:28
Speaker 2: its accounting books balance perfectly. Energy must be conserved. You
15:32
Speaker 2: can't just spawn a real particle that flies off into
15:35
Speaker 2: space and completely ignore the micro loan of energy that
15:38
Speaker 2: created it.
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Speaker 3: No, you absolutely cannot. The universe does not tolerate unpaid
15:43
Speaker 3: energy debts. The escaping particle carries positive energy away with it. Therefore,
15:47
Speaker 3: to ensure the total energy of the system remains perfectly balanced,
15:51
Speaker 3: the math dictates that the particle which fell into the
15:54
Speaker 3: black hole must carry negative energy.
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Speaker 2: Negative energy, which means when it falls into the math
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Speaker 2: of the black hole, it doesn't add to it, it
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Speaker 2: actually subtracts from it.
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Speaker 3: Yes, the black hole absorbs a negative energy particle, meaning
16:07
Speaker 3: the black hole's overall mass decreases by a microscopic fraction.
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Speaker 2: The black hole is evaporating.
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Speaker 3: Very very slowly. I mean for a supermassive black hole.
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Speaker 3: The temperature of this radiation is infinitesimally small, far colder
16:21
Speaker 3: than the ambient temperature of the cosmic microwave background.
16:25
Speaker 2: So right now, large black holes are actually absorbing more
16:28
Speaker 2: background heat than they emit exactly.
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Speaker 3: But eventually, trillions of years from now, when the universe
16:34
Speaker 3: expands and cools to near absolute zero, the black holes
16:38
Speaker 3: will become the hottest things around.
16:40
Speaker 2: And then the tide turns.
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Speaker 3: They will begin to steadily lose mass, and as they shrink,
16:45
Speaker 3: the tidal forces at the horizon grow more intense. The
16:47
Speaker 3: temperature goes up, the radiation accelerates, until eventually the black
16:52
Speaker 3: hole evaporates entirely in a final brilliant flash of high energy.
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Speaker 2: Particles hoof gone. The vault completely does into thin air completely,
17:01
Speaker 2: and this brings us right to the precipice of the crisis,
17:04
Speaker 2: because if the vault vanishes, we are forced to ask
17:06
Speaker 2: a very uncomfortable question, what happened to our encyclopedia? We
17:10
Speaker 2: threw the book in, the black hole swallowed it. The
17:12
Speaker 2: black hole radiated particles for a trillion years, and then
17:15
Speaker 2: the black hole ceased to exist.
17:17
Speaker 3: Where did the data go?
17:18
Speaker 2: Well? The natural assumption would be that as the black
17:21
Speaker 2: hole evaperates, it slowly spits the data back out into
17:24
Speaker 2: the universe, encoded in the Hawking radiation.
17:27
Speaker 3: That makes intuitive sense. The vault dissolves, but the contents
17:31
Speaker 3: spill out into the yard.
17:32
Speaker 2: But Hawking's calculations revealed a fatal flaw in that assumption.
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Speaker 3: Didn't they They did. When he ran the math to
17:39
Speaker 3: determine the exact properties of the staping radiation, he discovered
17:42
Speaker 3: that the radiation is perfectly thermal.
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Speaker 2: Perfectly thermal, meaning it's essentially just random heat.
17:48
Speaker 3: It is entirely featureless. The spectrum of the radiation depends
17:53
Speaker 3: solely on the black hole's mass, charge, and spin. It
17:56
Speaker 3: carries absolutely zero microscopic information about the specific matter that
18:01
Speaker 3: fell in wait.
18:01
Speaker 2: Really, so the radiation emitted by a black hole that
18:04
Speaker 2: formed from a collapse star is mathematically indistinguishable from the
18:08
Speaker 2: radiation emitted by a black hole that formed from a
18:11
Speaker 2: collapsing sphere of pure encyclopedias indistinguishable.
18:14
Speaker 3: Every photon, every particle of Hawking radiation that escapes is
18:18
Speaker 3: essentially randomized. It has absolutely no memory of the material
18:22
Speaker 3: that originally collapsed.
18:23
Speaker 2: So if you were to collect every single particle of
18:26
Speaker 2: Hawking radiation emitted over the entire trillion year lifespan of
18:30
Speaker 2: the black hole, you would just have a massive chaotic
18:33
Speaker 2: cloud of thermal noise.
18:35
Speaker 3: You could never put the encyclopedia back together. The information
18:38
Speaker 3: isn't just hidden inside the event horizon anymore, because the
18:42
Speaker 3: event horizon is gone. The information is truly fundamentally deleted
18:46
Speaker 3: from the universe.
18:47
Speaker 2: And that conclusion sent a massive shockwave through the foundations
18:51
Speaker 2: of physics because the permanent deletion of information is a direct,
18:56
Speaker 2: undeniable violation of the most sapred rule. In quantum mechanics,
19:00
Speaker 2: principle of unitarity unitarity.
19:01
Speaker 3: Yes, we need to define this carefully because it is
19:04
Speaker 3: the absolute lynchpin of the entire paradise.
19:07
Speaker 2: Right, why does quantum mechanics care so deeply about preserving information?
19:11
Speaker 3: Well. In quantum mechanics, unitarity dictates that the evolution of
19:14
Speaker 3: any closed physical system is governed by a unitary operator. Mathematically,
19:18
Speaker 3: a unitary operator is a transformation that preserves the total
19:21
Speaker 3: probability of all possible outcomes at exactly one hundred percent.
19:26
Speaker 2: Okay, but conceptually a guarantee something much more profound, right, yeah,
19:29
Speaker 2: absolute reversibility exactly.
19:32
Speaker 3: Unitarity implies that every unique quantum state in the past
19:35
Speaker 3: evolves into a unique, distinct quantum state in the future.
19:39
Speaker 3: And critically, every quantum state in the present can be
19:42
Speaker 3: traced backward to one and only one specific state in
19:46
Speaker 3: the past.
19:46
Speaker 2: So the flow of time in a quantum system is
19:49
Speaker 2: a two way street. Information must be strictly preserved, no
19:52
Speaker 2: matter how scrambled things appear.
19:54
Speaker 3: Yes, let's use a classical analogy that mimics this quantum rule.
19:58
Speaker 3: Let's look at a process that seems to destroy information
20:01
Speaker 3: but actually doesn't.
20:02
Speaker 2: Okay, let's say I take our encyclopedia and instead of
20:05
Speaker 2: throwing it into a black hole, I throw it into
20:07
Speaker 2: a roaring fire, a.
20:08
Speaker 3: Highly destructive process from a human perspective.
20:11
Speaker 2: Right, I watch the pages burn. The book turns into
20:13
Speaker 2: a pile of ash, a bloom of smoke, and a
20:16
Speaker 2: burst of heat. To my human eyes, the words are gone.
20:19
Speaker 2: The linguistic information of the encyclopedia seems utterly destroyed.
20:22
Speaker 3: But to a physicist it is merely scrambled. It has
20:26
Speaker 3: undergone a vast increase in entropy, but it has not
20:29
Speaker 3: violated unitarity.
20:30
Speaker 2: Because if you possessed a theoretical magical supercomputer, one capable
20:36
Speaker 2: of tracking the exact quantum state, trajectory and momentum of
20:40
Speaker 2: every single photon of light emitted by the fire, every
20:44
Speaker 2: single microscopic molecule of smoke wafting into the.
20:48
Speaker 3: Atmosphere, every subtle change in the kinetic energy of the
20:51
Speaker 3: surrounding air molecules.
20:52
Speaker 2: Right, I could theoretically feed all that data into the supercomputer,
20:56
Speaker 2: apply the laws of physics, and run the simulation in reverse.
21:00
Speaker 3: And the math would perfectly reassemble the encyclopedia. The smoke
21:03
Speaker 3: would draw back together, the heat would converge, the ash
21:05
Speaker 3: would form pages, and the ink would resolve into specific words.
21:09
Speaker 2: The information about what was written on page forty two
21:12
Speaker 2: was never actually annihilated, It was just redistributed exactly.
21:15
Speaker 3: It was converted into incredibly complex microscopic correlations between the smoke,
21:20
Speaker 3: the ash, and the heat. The universe still possesses the data.
21:24
Speaker 2: Unitarity guarantees that nature never loses track of the details,
21:28
Speaker 2: even in utter chaos. The bookkeeping is immaculate.
21:31
Speaker 3: But Hawking's math claimed that a black hole doesn't act
21:34
Speaker 3: like a fire. Hawking claimed a black hole acts as
21:37
Speaker 3: an absolute eraser. It takes the encyclopedia, burns it, and
21:41
Speaker 3: then permanently deletes the smoke, the ash, and the heat
21:44
Speaker 3: from reality entirely.
21:46
Speaker 2: If the black hole evaporates completely and leaves behind only generic,
21:50
Speaker 2: perfectly random thermal radiation. The information is irretrievably lost. It
21:56
Speaker 2: literally cannot be traced backward.
21:58
Speaker 3: And the implications of that are catastrophic. If unitarity falls,
22:03
Speaker 3: quantum mechanics falls with it.
22:05
Speaker 2: If information can truly be destroyed, the fundamental laws of
22:08
Speaker 2: physics lose their predictive and retrodictive power.
22:12
Speaker 3: If we connect this to the bigger picture, it breaks
22:14
Speaker 3: causality Because of two entirely different pasts, like a black
22:18
Speaker 3: hole made of encyclopedias and a black hole made of toasters,
22:21
Speaker 3: both evolve into the exact same future state of featureless
22:24
Speaker 3: thermal radiation. Causality breaks.
22:26
Speaker 2: You lose determinism entirely. If you observe the final thermal
22:30
Speaker 2: cloud and you try to run the laws of physics backward,
22:33
Speaker 2: the math crashes.
22:34
Speaker 3: The equations wouldn't know which pass to return to.
22:36
Speaker 2: The universe would have essentially randomly deleted a section of
22:40
Speaker 2: its own causal history. You would have to accept that
22:43
Speaker 2: physical reality is inherently lossy, constantly degrading its own fundamental resolution.
22:49
Speaker 3: It's like watching a high definition movie, but every time
22:52
Speaker 3: there's a scene change the video compression permanently blurs the background,
22:57
Speaker 3: until eventually the entire film is just a gray square.
23:00
Speaker 2: No wonder physicists panicked.
23:02
Speaker 3: Oh, the panic was entirely justified. For decades, the physics
23:05
Speaker 3: community was completely fractured over this. Some prominent physicists, including
23:09
Speaker 3: Hawking himself, for a long time accepted the math at
23:12
Speaker 3: face value.
23:13
Speaker 2: They thought, well, if general relativity and quantum mechanics conflict,
23:17
Speaker 2: it must be quantum mechanics.
23:18
Speaker 3: That is wrong exactly. They believed we simply had to
23:21
Speaker 3: bite the bullet and accept information loss.
23:23
Speaker 2: But others realized that conceding unitarity was basically equivalent to
23:28
Speaker 2: surrendering the entire foundation of modern physics. Physicists like Leonard
23:32
Speaker 2: Suskan and Gerard Hooft vehemently rejected the idea. They literally
23:37
Speaker 2: declared theoretical war on information loss.
23:40
Speaker 3: To save physics, they had to prove that the Hawking
23:42
Speaker 3: radiation wasn't actually perfectly thermal. They had to find a
23:46
Speaker 3: way for the information to be encoded in the escaping particles,
23:49
Speaker 3: and to.
23:50
Speaker 2: Do that they had to look deeply into the concept
23:52
Speaker 2: of entropy. Entropy, yes, usually when we talk about entropy,
23:55
Speaker 2: we were talking about thermodynamics, You know the tendency of
23:59
Speaker 2: systems to move from order to disorder and egg breaking,
24:02
Speaker 2: ice melting. How does this connect to information in black holes?
24:06
Speaker 3: Well, in physics and particularly in information theory, which is
24:10
Speaker 3: a framework developed by Claud Shannon, entropy is actually a
24:14
Speaker 3: direct mathematical measure of hidden information.
24:17
Speaker 2: Hidden information. Can we break that down of it?
24:18
Speaker 3: Sure? Think about it as a measure of microscopic ambiguity.
24:22
Speaker 3: How many microscopic ways can you arrange the internal components
24:26
Speaker 3: of a system without changing its outward macroscopic appearance?
24:30
Speaker 2: Oh okay, So a highly ordered system, like a perfectly
24:32
Speaker 2: arranged new deck of cards, has very low entropy. There's
24:37
Speaker 2: only one specific sequence that looks like a perfectly ordered deck.
24:40
Speaker 2: If you swap two cards, the macroscopic state obviously changes precisely.
24:44
Speaker 3: But a highly disordered system like a deck of cards
24:48
Speaker 3: just scattered all over the floor, has extremely high entropy.
24:52
Speaker 3: There are millions of different microscopic ways the cards could
24:55
Speaker 3: be scattered that all look identically messy from a macroscopic viewpoint.
24:59
Speaker 2: So high entropy means a massive amount of hidden microscopic
25:03
Speaker 2: information is required to specify exactly which messi state you.
25:06
Speaker 3: Were looking at exactly so entropy equals data capacity, and
25:10
Speaker 3: in the nineteen seventies Jacob Beckenstein realized that black holes
25:13
Speaker 3: must possess an enormous amount of entropy.
25:15
Speaker 2: He was driven by a simple thought experiment, wasn't he
25:17
Speaker 2: he was?
25:19
Speaker 3: The second law of thermodynamics states that the total entropy
25:22
Speaker 3: of an isolated system must always increase. Things always get messier, right,
25:26
Speaker 3: So Bekenstein asked, what happens if I take a highly entropic,
25:30
Speaker 3: messy object like a box of hot gas, and drop
25:33
Speaker 3: it into a black hole?
25:34
Speaker 2: The gas crosses the event horizon and vanishes from the
25:37
Speaker 2: observable universe, which means.
25:38
Speaker 3: The total entropy of the observable universe just went down.
25:41
Speaker 3: The universe got cleaner.
25:42
Speaker 2: And that is a flagrant violation of the second law
25:45
Speaker 2: of thermodynamics.
25:47
Speaker 3: Unless the black hole itself has an internal entropy that
25:49
Speaker 3: absorbs the messiness of the gas, the black hole must
25:53
Speaker 3: have a hidden information capacity.
25:55
Speaker 2: It has to so Beiegenstein, along with Hawking, developed a
25:59
Speaker 2: formula to calculate this, the Beckenstein Hawking entropy formula, and
26:04
Speaker 2: what they discovered about a black hole's data capacity is
26:07
Speaker 2: arguably one of the strangest most profound facts in all
26:10
Speaker 2: of physics.
26:10
Speaker 3: It really is. They found that a black hole's entropy
26:13
Speaker 3: is proportional to its surface.
26:14
Speaker 2: Area the area of the event horizon, not its volume,
26:18
Speaker 2: right not. We need to pause here and emphasize how
26:21
Speaker 2: deeply unnatural this is. Every single physical object we interact
26:26
Speaker 2: with scales its data capacity with volume. If I want
26:30
Speaker 2: to store more files, I buy a bigger hard drive
26:32
Speaker 2: with a larger physical volume of magnetic platters.
26:35
Speaker 3: If you want to store more books, you build a
26:37
Speaker 3: library with more cubic feet of space. The capacity of
26:40
Speaker 3: a three D object is determined by its three D volume,
26:43
Speaker 3: but for a.
26:43
Speaker 2: Black hole, the volume is completely irrelevant. The amount of
26:46
Speaker 2: microscopic information that can conceal is strictly dictated by the
26:49
Speaker 2: two D surface area of the event horizon.
26:52
Speaker 3: Bekenstein realized that you could mathematically tile the event horizon
26:56
Speaker 3: with these tiny squares, each measuring one plankank across.
27:00
Speaker 2: The smallest meaningful unit of length in the universe.
27:03
Speaker 3: Yes, and each tiny plank sized square on the surface
27:07
Speaker 3: holds exactly one bit of information.
27:09
Speaker 2: It is honestly like discovering that the amount of water
27:12
Speaker 2: a bucket can hold doesn't depend on how deep the
27:14
Speaker 2: bucket is yeah, but strictly on the surface area of
27:17
Speaker 2: the lid.
27:18
Speaker 3: It is a profound break from our classical understanding of space.
27:21
Speaker 3: But let's return to the evaporation problem because this area
27:25
Speaker 3: law creates a severe mechanical tension.
27:27
Speaker 2: Right as the black hole emits Hawking radiation, it loses mass.
27:31
Speaker 2: As it loses mass, its gravitational pull weakens, and the
27:34
Speaker 2: spherical event horizon shrinks.
27:36
Speaker 3: The surface area gets smaller.
27:38
Speaker 2: And if the surface area dictates the maximum data capacity,
27:41
Speaker 2: a shrinking black hole is continually losing its ability to
27:44
Speaker 2: hide information exactly.
27:46
Speaker 3: The total entropy of the black hole is dropping, but
27:48
Speaker 3: the second law thermodynamics still demands that overall entropy must increase,
27:53
Speaker 3: so the.
27:53
Speaker 2: Missing entropyed the hidden data must be carried away by
27:56
Speaker 2: the Hawking radiation flowing out into deep space.
27:59
Speaker 3: But Hawking's maths said the radiation is purely thermal. Thermal
28:03
Speaker 3: radiation has high generic entropy, meaning it's highly disordered, but
28:07
Speaker 3: it doesn't carry this specific structured information of the encycled tedia.
28:11
Speaker 2: You've hit the exact mechanical tension of the paradox. The
28:14
Speaker 2: black hole's capacity to store data is shrinking. The radiation
28:18
Speaker 2: is carrying away generic messiness, but it isn't carrying away
28:21
Speaker 2: the structured data.
28:22
Speaker 3: That data simply has nowhere to exist. It mathematically vanishes.
28:26
Speaker 2: It feels like an air tight proof of destruction. But
28:29
Speaker 2: then a physicist named Don Page steps in and kind
28:32
Speaker 2: of flips the script.
28:33
Speaker 3: Page's intervention in nineteen ninety three was just a masterclass
28:36
Speaker 3: in reverse engineering. He didn't try to find the specific
28:39
Speaker 3: flaw in Hawkings's highly complex calculations. He took a macroscopic view.
28:44
Speaker 2: He asked, if we assume quantum mechanics is flawless, if
28:48
Speaker 2: we assume unitarity holds and information is conserved, what must
28:52
Speaker 2: the radiation look like over the life span of the
28:55
Speaker 2: black hole.
28:55
Speaker 3: He basically assumed the universe was rational and asked what
28:58
Speaker 3: the graph of the data extraction would look.
29:01
Speaker 2: Like, right, and he focused on something called entanglement entropy.
29:05
Speaker 2: This measures how entangled the escaping radiation is with the
29:09
Speaker 2: interior of the black hole.
29:10
Speaker 3: And what did he find.
29:12
Speaker 2: Page proof that in the early stages of evaporation, the
29:15
Speaker 2: radiation behaves exactly as Hawking predicted. It comes out looking
29:18
Speaker 2: completely random. The entanglement entropy climbs steadily upward.
29:23
Speaker 3: It looks like pure noise, but page proof. There is
29:26
Speaker 3: a tipping point, right.
29:27
Speaker 2: Yes, Because the radiation is quantum mechanically entangled with the
29:31
Speaker 2: remaining states inside the black hole. There is a hard
29:34
Speaker 2: mathematical limit. When the black hole is evaporated to approximately
29:38
Speaker 2: half of its original mass, you hit a critical moment
29:41
Speaker 2: known as the page time.
29:43
Speaker 3: What exactly happens at the page time At.
29:45
Speaker 2: This halfway point, the shrinking black hole simply doesn't possess
29:49
Speaker 2: enough remaining surface area to remain entangled with the massive,
29:53
Speaker 2: growing cloud of radiation outside. The internal data capacity is
29:57
Speaker 2: tapped out, so it's full. It's totally full. Therefore, forced
30:00
Speaker 2: by the absolute mathematical requirement of unitarity, the specific information
30:05
Speaker 2: must start leaking out into the radiation, so the graph peaks.
30:08
Speaker 3: The graph peaks at the page time, and then the
30:11
Speaker 3: entanglement entropy drastically drops it curves downward. Every new particle
30:15
Speaker 3: emitted after the page time carries highly specific information that
30:19
Speaker 3: is deeply correlated with the early radiation.
30:22
Speaker 2: By the time the black hole evaporates completely, the entanglement
30:25
Speaker 2: entropy hits zero. All the information has been transferred to
30:29
Speaker 2: the radiation cloud.
30:31
Speaker 3: This is the famous page curve, an inverted V shape
30:35
Speaker 3: up peak down.
30:37
Speaker 2: Here's where it gets really interesting. I want to use
30:39
Speaker 2: a visual analogy to make this mechanism intuitive for you listening.
30:43
Speaker 2: Imagine the black hole is spitting out pieces of a
30:46
Speaker 2: massive billion piece jigsaw puzzle, a quantum puzzle. Right for
30:51
Speaker 2: the first half of the black hole's life, you are
30:52
Speaker 2: standing out in space catching these puzzle pieces, but you
30:55
Speaker 2: only have a fraction of the puzzle. You look at
30:57
Speaker 2: the pieces. One is a bit of blue sky, one
31:00
Speaker 2: is a patch of green grass. None of them connect.
31:02
Speaker 3: It just looks like a chaotic, meaningless pile of cardboard.
31:05
Speaker 2: Exactly the messiness the entropy is rising. This perfectly matches
31:09
Speaker 2: Hawkings observation that the early radiation looks like generic noise.
31:13
Speaker 3: But then you hit the halfway mark the page time,
31:16
Speaker 3: you've collected half the pieces.
31:18
Speaker 2: Now something profound shifts because you possess half the system.
31:22
Speaker 2: The statistical probability of a new piece connecting to an
31:25
Speaker 2: old piece just skyrocket.
31:27
Speaker 3: It has to connect.
31:28
Speaker 2: Right, the black hole spits out a new piece and
31:31
Speaker 2: it perfectly bridges the blue sky and the green grass.
31:33
Speaker 2: Suddenly correlations emerge. The chaotic pile starts rapidly forming a clear,
31:39
Speaker 2: defined picture.
31:40
Speaker 3: The messiness decreases, the entropy goes down, and when.
31:43
Speaker 2: The final piece is emitted and the black hole vanishes,
31:46
Speaker 2: you don't have a pile of random cardboard. You have
31:49
Speaker 2: a perfectly assembled picture of the encyclopedia.
31:51
Speaker 3: It is a phenomenal way to visualize the transfer of
31:54
Speaker 3: quantum entanglement. The page curve provided a mathematical lifeline. It
31:59
Speaker 3: showed the phi x community exactly what a unitary evaporation
32:02
Speaker 3: process actually looks like.
32:04
Speaker 2: But it was a bit of a hollow victory, wasn't it?
32:06
Speaker 2: Because Page proved what the graph should look like to
32:10
Speaker 2: save physics, but he didn't explain the mechanism.
32:13
Speaker 3: He didn't point to Hawkings math and say, ah, here
32:15
Speaker 3: is the faulty equation that allows the puzzle pieces to connect.
32:19
Speaker 2: He provided the destination, but not the vehicle. He proved
32:22
Speaker 2: that if information is conserved, the page curve is the result.
32:26
Speaker 2: But the physics community was left staring at a massive gap.
32:31
Speaker 2: How does the black hole actually manage to encode the
32:33
Speaker 2: data into the radiation.
32:35
Speaker 3: Which triggers a decade's long theoretical arms race. Physicists knew
32:39
Speaker 3: that Hawking's semi classical approximation, where he treated gravity as
32:44
Speaker 3: a smooth classical background while treating the particles as quantum fields,
32:48
Speaker 3: must have missed a deeply subtle mechanism.
32:51
Speaker 2: Which leads us to the first major conceptual lead in
32:54
Speaker 2: solving the paradox, subtle encoding and the holographic principle.
32:58
Speaker 3: Let's look at the subtle encoding first. The idea was
33:01
Speaker 3: that Hawking's math was just slightly too blunt.
33:03
Speaker 2: The radiation isn't perfectly thermal, It's almost thermal, but not
33:06
Speaker 2: quite right.
33:07
Speaker 3: The proposition was that the information is encoded in hypercomplex
33:11
Speaker 3: non local correlations.
33:12
Speaker 2: Non local correlations, meaning, yeah, the data isn't stamped onto
33:16
Speaker 2: a single outgoing photop exactly.
33:17
Speaker 3: The information is smeared out. It's distributed in the quantum
33:20
Speaker 3: relationships between a particle emitted today and a particle emitted
33:24
Speaker 3: a billion years ago.
33:25
Speaker 2: So if you capture a single particle of Hawking radiation,
33:28
Speaker 2: it is completely indistinguishable from random heat.
33:31
Speaker 3: But if you analyze the entire massive cloud of radiation
33:35
Speaker 3: in its totality, evaluating the quantum entanglement spanning across billions
33:40
Speaker 3: of light years, the whole contains the data.
33:43
Speaker 2: It's like a cryptographic key where the data is fractured
33:46
Speaker 2: across a billion distinct hard drives. If you only look
33:49
Speaker 2: at one drive, it's just binary gibberish. You need all
33:53
Speaker 2: of them to resolve the file.
33:54
Speaker 3: And physicists argued that Hawking's semi classical calculation missed these
33:58
Speaker 3: subtle correlations because it didn't incorporate the microscopic details of
34:02
Speaker 3: quantum gravity. It's moved over the fine details.
34:05
Speaker 2: But asserting that subtle correlations exist is very different from
34:09
Speaker 2: proving it mathematically. To actually prove it, physicists needed a
34:13
Speaker 2: completely new theoretical lens.
34:15
Speaker 3: If we connect this to the bigger picture, this birth
34:17
Speaker 3: the holographic principle. This was a radical reimagining of reality,
34:21
Speaker 3: champion by Gerard Hooft and Leonard Suskin.
34:23
Speaker 2: When most people hear the word hologram, they think of
34:26
Speaker 2: a science fiction projection Princess Leah and Star Wars, or
34:30
Speaker 2: the shiny emblem on a credit card, a three dimensional
34:33
Speaker 2: image generated from a two dimensional surface.
34:36
Speaker 3: And that is actually the perfect conceptual starting point. In
34:39
Speaker 3: the nineteen nineties, Suskind and Uft looked back at Beekenstein's
34:43
Speaker 3: entropy formula the discovery that a black hole's maximum information
34:47
Speaker 3: capacity scales with its two D surface area, not its
34:51
Speaker 3: three D volume.
34:52
Speaker 2: The bucket lid, not the bucket depth.
34:54
Speaker 3: They asked a staggering question. What if this isn't just
34:57
Speaker 3: a quirky rule for black holes. What if this, this
35:00
Speaker 3: area law is a fundamental property of the entire.
35:03
Speaker 2: Universe, the entire universe.
35:05
Speaker 3: Yes, what if all the physical events, particles, and gravitational
35:08
Speaker 3: forces occurring in any three dimensional volume of space can
35:12
Speaker 3: be perfectly exhaustively encoded as quantum data on a two
35:15
Speaker 3: dimensional boundary surrounding that space.
35:18
Speaker 2: It's an incredibly disorienting concept. It suggests that the three
35:21
Speaker 2: D reality we experience, you, me, the room we are
35:24
Speaker 2: sitting in is fundamentally a projection.
35:26
Speaker 3: The true data of our reality is smeared across a distant,
35:30
Speaker 3: lower dimensional boundary, much like a two D piece of
35:33
Speaker 3: holographic film contains the intricate interference patterns of light that
35:38
Speaker 3: project a three D image.
35:39
Speaker 2: It challenges our most basic intuition about where things are located,
35:43
Speaker 2: but it remained a largely philosophical idea until nineteen ninety seven,
35:47
Speaker 2: when a brilliant physicist named Juan Maldasena gave the holographic
35:51
Speaker 2: principle a rigorous, mathematically exact framework. It is known as
35:56
Speaker 2: the ad SCFT correspondence ad SCFI. Okay, we need to
36:01
Speaker 2: spend some time demystifying this acronym because it is arguably
36:04
Speaker 2: one of the most important theoretical discoveries in the last
36:06
Speaker 2: fifty years of physics.
36:07
Speaker 3: We can break it down logically. ADS stands for anti
36:10
Speaker 3: desitter space, CFT stands for conformal field theory. Let's imagine
36:15
Speaker 3: a highly specialized theoretical universe.
36:17
Speaker 2: Okay, I'm picturing a universe.
36:19
Speaker 3: The interior volume of this universe, the three D bulk space,
36:21
Speaker 3: is an anti desitter space. This means it has a
36:24
Speaker 3: negative curvature. It acts somewhat like a mathematical box. Light
36:27
Speaker 3: can travel from the center to the edge of the
36:29
Speaker 3: universe and bounce back in a finite amount of time.
36:31
Speaker 2: So it is a self contained three D universe with
36:33
Speaker 2: an absolute.
36:34
Speaker 3: Edge exactly within this three D interior. The laws of
36:38
Speaker 3: physics include gravity. We have string theory operating in here.
36:42
Speaker 3: Stars can collapse, planets can orbit, and black holes can form.
36:46
Speaker 3: This is the ADS side of the duality.
36:48
Speaker 2: A three D universe with gravity.
36:50
Speaker 3: Now look at the absolute boundary of this universe, the
36:53
Speaker 3: two D surface wrapping around the outside. On this surface,
36:56
Speaker 3: a completely different set of physical laws governs reality. This
36:59
Speaker 3: bound is governed by a conformal field.
37:02
Speaker 2: Theory, a quantum field theory.
37:04
Speaker 3: Yes, But critically, there is absolutely no gravity on this
37:08
Speaker 3: two D boundary. It is a flat space governed purely
37:11
Speaker 3: by quantum mechanics, with particles interacting through quantum fields.
37:14
Speaker 2: So we have a three D interior featuring gravity and
37:17
Speaker 2: black holes surrounded by a flat two D boundary featuring
37:20
Speaker 2: only quantum mechanics and zero gravity. They sound like completely alien,
37:24
Speaker 2: irreconcilable realities.
37:25
Speaker 3: They do, But Maldacina achieves something breathtaking. He constructed a
37:29
Speaker 3: mathematical dictionary that proves these two realities are exactly equivalent.
37:33
Speaker 3: They are dual mathematical descriptions of the exact same physics.
37:36
Speaker 2: Meaning every single event that happens in the three D
37:39
Speaker 2: gravity universe has a mathematically identical corresponding event happening on
37:45
Speaker 2: the two D quantum boundary.
37:46
Speaker 3: Precisely, if two particles collide in the three D interior,
37:50
Speaker 3: you can use Maldaicine's dictionary to translate that event out
37:53
Speaker 3: to the boundary, and it perfectly corresponds to an interaction
37:56
Speaker 3: in the quantum field theory.
37:58
Speaker 2: It is a perfect lossless translation from a theory of
38:01
Speaker 2: gravity to a theory of pure quantum mechanics. It is okay,
38:05
Speaker 2: that is a beautiful mathematical construct. Yeah, but how does
38:08
Speaker 2: this abstract geometry actually solve the black hole information paradox?
38:13
Speaker 3: Because it constructs an iron clad logical trap. Let's form
38:17
Speaker 3: a black hole inside the three D anti desitter space.
38:20
Speaker 3: The star collapses, the black hole forms, and it begins
38:22
Speaker 3: to emit Hawking radiation. We want to know does this
38:25
Speaker 3: black hole destroy information?
38:28
Speaker 2: We want to know if unitarity is violated in the
38:30
Speaker 2: three D bulk.
38:30
Speaker 3: Right, instead of trying to calculate the messy gravity math
38:33
Speaker 3: in the interior, we use the dictionary. We project the
38:36
Speaker 3: entire evaporation process out onto the two D boundary. We
38:39
Speaker 3: watch how the corresponding boundary theory handles the evaporation.
38:43
Speaker 2: But the boundary theory is a conformal field theory. It
38:46
Speaker 2: is purely quantum mechanics, no gravity at all.
38:49
Speaker 3: And what do we know about pure quantum mechanical systems?
38:53
Speaker 2: They are governed by unitary operators. Information is strictly conserved.
38:57
Speaker 2: It is mathematically impossible for a pure quantum field theory
39:02
Speaker 2: to permanently delete data exactly.
39:04
Speaker 3: The two D boundary theory is manifestly unarguably unitary. The
39:10
Speaker 3: data on the boundary cannot be lost, it can only
39:12
Speaker 3: be scrambled. And because Maldosina proved that the three D
39:16
Speaker 3: interior is mathematically identical to the two D boundary, if.
39:19
Speaker 2: The boundary preserves the data, the interior must preserve the data.
39:23
Speaker 3: Yes, the formation and evaporation of the black hole in
39:26
Speaker 3: the three D space must be a unitary process. The
39:29
Speaker 3: information is not destroyed. Hawkings's claim of permanent dilution is
39:33
Speaker 3: mathematically cornered and proven false by translation.
39:35
Speaker 2: That is an astonishing intellectual maneuver. By projecting the gravitational
39:40
Speaker 2: problem into a lower dimension that doesn't have gravity, you
39:42
Speaker 2: literally guarantee that the information survives. The data is safe.
39:46
Speaker 3: It was a massive psychological relief for the physics community.
39:49
Speaker 3: It confirmed that quantum mechanics holds firm.
39:51
Speaker 2: But wait, does it actually explain the mechanics of the escape.
39:55
Speaker 2: The attic c oft translation proves that the information gets out.
39:59
Speaker 2: But if I'm an ass or not inside the three
40:01
Speaker 2: D space falling toward a black hole. I don't care
40:04
Speaker 2: about a two D mathematical boundary at the edge of
40:06
Speaker 2: the universe. I want to know how the data physically
40:08
Speaker 2: traverses the event horizon in my local reality.
40:12
Speaker 3: And that was the lingering frustration. Holography provided a broad,
40:16
Speaker 3: indirect proof, but it lacked the nuts and bolts. It
40:19
Speaker 3: didn't point to the specific local mechanism generating the page
40:23
Speaker 3: curve during the evaporation process. Physicists wanted to see the
40:26
Speaker 3: actual gears.
40:27
Speaker 2: Turning, which ushers in the most recent and arguably most
40:30
Speaker 2: promising breakthroughs in the field, a conceptual framework that finally
40:34
Speaker 2: targets the local mechanism, the discovery of quantum extremal surfaces
40:38
Speaker 2: and the island rule.
40:39
Speaker 3: This is where the math gets incredibly complex, but the
40:41
Speaker 3: underlying geometry is fascinating. For years, physicists struggled to calculate
40:45
Speaker 3: the entanglement entropy of a Hawking radiation directly right, But
40:49
Speaker 3: in twenty nineteen, several groups of physicists achieved a major
40:52
Speaker 3: breakthrough using mathematical tools designed to measure entanglement through geometry.
40:56
Speaker 2: Tools like the REU Takinagi formula, which links the entire
41:00
Speaker 2: hangglement entropy of the boundary to the area of specific
41:02
Speaker 2: minimal surfaces deep within the bulk space.
41:05
Speaker 3: Yes, they applied these geometric tools to the evaporating black hole,
41:10
Speaker 3: and for the first time, without relying entirely on the
41:13
Speaker 3: holographic boundary, they were able to calculate the entropy of
41:16
Speaker 3: the radiation from first principles.
41:18
Speaker 2: And what did the calculation yield?
41:20
Speaker 3: The math naturally produce the exact shape of the page curve.
41:23
Speaker 2: Wow. It showed the entropy rising, hitting a peak at
41:27
Speaker 2: the page time, and curving back down to zero.
41:30
Speaker 3: It was a monumental achievement. The calculation proved that late
41:33
Speaker 3: stage Hawking radiation is in fact highly entangled with the
41:36
Speaker 3: early radiation. Gradually purifying the quantum state and reconstructing the data,
41:41
Speaker 3: they found the mechanical vehicle don Page had demanded in
41:43
Speaker 3: nineteen ninety three.
41:45
Speaker 2: But physics rarely hands out free lunches. I'm guessing the
41:48
Speaker 2: mathematical vehicle they found came with some deeply weird baggage.
41:52
Speaker 3: Profoundly weird baggage, because to get the formulas to spit
41:55
Speaker 3: out the page curve, the math required them to include
41:59
Speaker 3: a new, una expected geometric contribution. They found that calculating
42:03
Speaker 3: the entropy of the external radiation required including a quantum
42:07
Speaker 3: extremal surface that emerges inside the black hole.
42:10
Speaker 2: Let's clearly define what this means. What is this surface
42:13
Speaker 2: and what is the island.
42:15
Speaker 3: Think of the island as a distinct physical region of
42:18
Speaker 3: space time located entirely inside the event horizon of the
42:21
Speaker 3: black hole. It is deep inside the inescapable vault.
42:24
Speaker 2: Okay, the island is inside.
42:26
Speaker 3: But the mechanics of entanglement dictate something completely counterintuitive. As
42:30
Speaker 3: the black hole evaporates and emits radiation, the entanglement between
42:34
Speaker 3: the radiation and the interior grows. Okay, when you reach
42:37
Speaker 3: the page, the halfway point of phase transition occurs in
42:39
Speaker 3: the math. The calculations reveal that to fully accurately describe
42:43
Speaker 3: the quantum state of the Hawking radiation floating out in
42:45
Speaker 3: deep space, you must mathematically include the island.
42:49
Speaker 2: Let me push back on this because it challenges basic
42:51
Speaker 2: spacial logic. How can a physical region of space buried
42:55
Speaker 2: behind a boundary from which light cannot escape be mathematically
42:59
Speaker 2: treated as a component of the radiation cloud. Millions of
43:02
Speaker 2: light years away.
43:03
Speaker 3: It forces us to entirely rethink locality. Our classical intuition
43:07
Speaker 3: treats space as a rigid container. Object as inside the box,
43:11
Speaker 3: object B is outside the box, and they are separated
43:14
Speaker 3: by a physical distance.
43:16
Speaker 2: Right, If I am holding a piece of radiation out
43:18
Speaker 2: in space, I am holding it here, not there.
43:21
Speaker 3: But quantum entanglement ignores spatial separation entirely. Entanglement weaves distinct
43:26
Speaker 3: regions of reality together. The island formula mathematically proves that
43:30
Speaker 3: the exterior radiation is so massively comprehensively entangled with the
43:34
Speaker 3: interior region of the black hole that they cease to
43:37
Speaker 3: be distinct systems. They basically fuse into a single quantum entity.
43:42
Speaker 2: So if I am sitting in a observatory far away
43:45
Speaker 2: scooping up Hawking radiation in a magnetic trap, I don't
43:48
Speaker 2: just possess photons in a strict quantum information sense. The
43:51
Speaker 2: entanglement is so dense that my trap literally contains the
43:55
Speaker 2: interior of the black hole. Yes.
43:57
Speaker 3: This is known as entanglement wedge reconstruction. It implies that
44:01
Speaker 3: if you possessed a miraculously advanced quantum computer, you could
44:05
Speaker 3: run operations on the radiation you collected in deep space,
44:09
Speaker 3: and you would instantaneously manipulate the physical state of the
44:12
Speaker 3: island deep inside the black hole.
44:14
Speaker 2: The inside of the black hole is no longer truly inside.
44:18
Speaker 2: The spatial boundary has been rendered totally irrelevant by quantum entanglement.
44:22
Speaker 3: The event horizon remains an absolute barrier for classical objects,
44:26
Speaker 3: but it is highly poorous to quantum information. The paradox
44:30
Speaker 3: is resolved because the information never truly falls permanently behind
44:33
Speaker 3: an impenetrable wall.
44:35
Speaker 2: Because through massive entanglement, the interior literally becomes part of
44:39
Speaker 2: the exterior. The data escapes because the definitions of inside
44:42
Speaker 2: outside overlap exactly. It is a stunning, elegant mathematical maneuver.
44:46
Speaker 2: It saves quantum mechanics, and it saves the encyclopedia. But
44:49
Speaker 2: I have to imagine that redefining spirtial locality so aggressively
44:53
Speaker 2: makes a lot of physicists deeply uncomfortable.
44:56
Speaker 3: It really does. While the island calculation is widely celebrated
44:59
Speaker 3: for success ustfully reproducing the page curve, the physical interpretation
45:03
Speaker 3: of what the island actually means for the fabric of
45:05
Speaker 3: space is fiercely debated.
45:07
Speaker 2: Which leads us to the radical alternatives, because if you
45:10
Speaker 2: refuse to accept that the inside of a black hole
45:13
Speaker 2: magically overlaps with deep space, you have to look for
45:16
Speaker 2: other ways to preserve unitarity, and some of those alternatives
45:20
Speaker 2: demand a very heavy toll from our classical intuition.
45:23
Speaker 3: This raises an important question, and it brings us to
45:25
Speaker 3: a massively controversial paper published in twenty twelve by four
45:29
Speaker 3: physicists Almhari, Marlv Polchinski, and Sully. It is known as
45:34
Speaker 3: the Amps paradox or the firewall hypothesis.
45:37
Speaker 2: The firewall this is where physics gets downright violent. What
45:40
Speaker 2: were Amps trying to selve?
45:42
Speaker 3: They were trying to construct a model that achieved three
45:44
Speaker 3: specific things simultaneously. First, unitarity must be preserved. The encyclopedia
45:49
Speaker 3: must get out. Second, standard quantum field theory must function
45:53
Speaker 3: normally outside the event horizon. Third, they wanted to preserve
45:57
Speaker 3: Einstein's equivalence principle salute cornerstone of general relativity, which states
46:03
Speaker 3: that an observer and freefall shouldn't feel anything unusual happening
46:06
Speaker 3: in their local environment even as they cross an event horizon.
46:10
Speaker 3: The horizon should be smooth, empty space, no drama.
46:14
Speaker 2: They wanted a perfect universe where quantum mechanics and relativity
46:17
Speaker 2: both emerge totally unscathed.
46:20
Speaker 3: But when they rigorously analyze the quantum entanglement required to
46:23
Speaker 3: make the information escape, they hit an insurmountable mathematical roadblock,
46:28
Speaker 3: a concept known as the monogamy of entanglement.
46:31
Speaker 2: Monogamy of entanglement, This means a quantum particle can only
46:35
Speaker 2: be fully maximally entangled with one other system at a time.
46:38
Speaker 3: Precisely, you cannot be maximally entangled with system A and
46:41
Speaker 3: simultaneously maximally entangled with System B. Now apply this rule
46:46
Speaker 3: to a newly created particle of Hawking radiation just outside
46:50
Speaker 3: the event horizon.
46:51
Speaker 2: Okay, let's track the required entanglements for the information to
46:54
Speaker 2: escape and produce the page curve. This new particle must
46:57
Speaker 2: be deeply entangled with all the old Hawking radiation that
47:00
Speaker 2: has already escaped into space. It has to connect to
47:02
Speaker 2: the puzzle.
47:03
Speaker 3: Yes, the new particle must be married to the early
47:07
Speaker 3: radiation cloud to ensure unitarity. But remember the physical mechanism
47:11
Speaker 3: of Hawking radiation we discussed earlier. The particle was created
47:15
Speaker 3: from a virtual vacuum pair that was torn apart by
47:17
Speaker 3: tidal forces right, and to satisfy the local rules of
47:20
Speaker 3: quantum field theory.
47:21
Speaker 2: In a smooth vacuum, the particle on the outside must
47:25
Speaker 2: be heavily entangled with its partner particle that fell inside
47:29
Speaker 2: the black hole.
47:30
Speaker 3: So the escaping particle must be married to the old
47:33
Speaker 3: radiation far away and married to the partner particle falling inward.
47:37
Speaker 2: But the monogamy of entanglement extressly forbids that. It's a
47:40
Speaker 2: fundamental contradiction. The math demands a single particle be maximally
47:44
Speaker 2: entangled with two completely independent systems.
47:47
Speaker 3: It is a logical impossibility. A MPs realized that their
47:51
Speaker 3: three required pillars, unitarity, normal quantum field theory, and a
47:55
Speaker 3: smooth event horizon were mutually incompatible. You can only pick two.
47:59
Speaker 3: One pillar has to be destroyed to resolve the paradox.
48:02
Speaker 2: If they want to save quantum mechanics, they have to
48:04
Speaker 2: physically sever one of those entanglements. They can't sever the
48:08
Speaker 2: link to the early radiation because that would destroy the
48:11
Speaker 2: data and violate unitarity, so they have to sever the
48:14
Speaker 2: link across the event horizon.
48:16
Speaker 3: They have to physically break the quantum bond between the
48:19
Speaker 3: escaping particle and the infalling partner, but breaking a quantum
48:23
Speaker 3: entanglement bond releases a tremendous amount of energy.
48:26
Speaker 2: And this is happening continuously across the entire spherical boundary
48:30
Speaker 2: of the black hole for billions of years, which.
48:33
Speaker 3: Means an unfathomable amount of energy is released exactly at
48:36
Speaker 3: the event horizon. Polchinski and his colleagues concluded that this
48:40
Speaker 3: severed entanglement creates a literal wall of high energy quanta,
48:45
Speaker 3: a firewall.
48:46
Speaker 2: So the event horizon isn't an invisible, smooth mathematical line anymore.
48:51
Speaker 2: It is a blazing, infinitely hot surface of incinerating energy.
48:55
Speaker 3: Yes, and the cost of this hypothesis is that it
48:58
Speaker 3: completely obliterates Einstein's equivalents principle.
49:01
Speaker 2: Because if an astronaut falls toward a black hole with
49:03
Speaker 2: a firewall, they don't experience a smooth drama free crossing
49:07
Speaker 2: the exact microsecond they touch the event horizon. They hit
49:11
Speaker 2: a solid wall of blazing radiation and are instantly incinerated
49:15
Speaker 2: into their constituent quantum bits.
49:17
Speaker 3: You preserve the data, you save quantum mechanics, but you
49:20
Speaker 3: sacrifice general relativity right at the boundary. The smooth geometry
49:25
Speaker 3: of space time is ripped apart.
49:27
Speaker 2: It is a conceptually violent solution. Polchinski himself didn't necessarily
49:31
Speaker 2: want it to be true, but he argued that mathematically
49:33
Speaker 2: it was the most conservative logical outcome. If you prioritize
49:37
Speaker 2: quantum mechanics.
49:38
Speaker 3: It forces a brutal choice. But the sheer ugliness of
49:41
Speaker 3: a massive, unexplained firewall hovering in space pushed other physicists
49:45
Speaker 3: to search for an even deeper, more fundamental truth. If
49:48
Speaker 3: we despise firewalls and we struggle with the non locality
49:51
Speaker 3: of islands, perhaps we are looking at the problem through
49:54
Speaker 3: the wrong lens entirely.
49:56
Speaker 2: Perhaps the very language we are using to describe the
49:58
Speaker 2: paradox as flawed. This brings us to the deepest conceptual frontier,
50:02
Speaker 2: emergent space time.
50:04
Speaker 3: We have spent this entire discussion relying on classical concepts.
50:08
Speaker 3: We talk about the encyclopedia falling inside the black hole
50:11
Speaker 3: and the radiation escaping to the outside. We rely heavily
50:14
Speaker 3: on the concepts of distance, location, and geometry.
50:17
Speaker 2: Because space and time are the absolute bedrock of reality.
50:22
Speaker 2: They are the stage on which all physics takes place.
50:25
Speaker 3: But what if space time is not the fundamental stage.
50:28
Speaker 3: What if space and time are illusions. Let's consider a
50:32
Speaker 3: macroscopic property like temperature. Temperature is not a fundamental property
50:37
Speaker 3: of the universe. A single atom doesn't have a.
50:39
Speaker 2: Temperature, right, Temperature is just a macroscopic illusion created by
50:43
Speaker 2: the microscopic kinetic motion of billions of atoms jiggling against
50:46
Speaker 2: each other. It emerges from the aggregate behavior.
50:49
Speaker 3: What a space time itself emerges in exactly the same way.
50:52
Speaker 3: What if distance and geometry are not fundamental but are
50:55
Speaker 3: macroscopic manifestations of a deeper underlying quantum network, and the
51:00
Speaker 3: threads connecting that network are quantum entanglement.
51:03
Speaker 2: So space doesn't dictate entanglement. Entanglement creates space exactly.
51:07
Speaker 3: This line of thinking led to a profound theoretical proposal
51:11
Speaker 3: by Susskine and Maldasina known as er.
51:14
Speaker 2: EPR okay Let's unpack er EPR.
51:17
Speaker 3: In nineteen thirty five, Albert Einstein co authored two groundbreaking papers.
51:22
Speaker 3: One paper, written with Nathan Rosen, described the mathematics of
51:25
Speaker 3: wormholes tunnels connecting distant regions of space time. These are
51:29
Speaker 3: known as Einstein rosenbridges.
51:31
Speaker 2: Or er A geometric connection.
51:33
Speaker 3: Through space The second paper, written with Podolski and Rosen,
51:37
Speaker 3: described the strange phenomenon of quantum entanglement, which Einstein famously
51:42
Speaker 3: mock as spooky action at a distance. This is the
51:45
Speaker 3: EPR paradix.
51:46
Speaker 2: Say quantum connection regardless of space.
51:49
Speaker 3: For eighty years, physics viewed these as two entirely separate phenomena,
51:52
Speaker 3: but er EPR posits that they are the exact same thing.
51:56
Speaker 3: Entangled particles are physically connected by microscopic quantum scale wormholes.
52:01
Speaker 2: So entanglement isn't just a spooky mathematical correlation, it is
52:04
Speaker 2: actual physical geometry.
52:06
Speaker 3: Yes, if two particles are highly entangled, the geometric distance
52:09
Speaker 3: between them is functionally short, regardless of where they appear
52:12
Speaker 3: to be in the classical universe. Space is literally woven
52:15
Speaker 3: out of entanglement.
52:16
Speaker 2: If we apply this to the black hole information paradox,
52:19
Speaker 2: it changes everything. YEA.
52:20
Speaker 3: If space is just a projection of a vast network
52:23
Speaker 3: of quantum entanglement, then the entire paradox is fundamentally a
52:27
Speaker 3: linguistic error. We panic because we think the information is
52:31
Speaker 3: trapped inside a distant spatial location.
52:35
Speaker 2: But if space isn't real at the lowest level, there
52:37
Speaker 2: is no inside precisely.
52:40
Speaker 3: The information isn't localized in a geometric vault. The data
52:44
Speaker 3: is simply re routing its connections through the underlying quantum network. Wow,
52:48
Speaker 3: the island extending out into deep space isn't a magical
52:52
Speaker 3: teleportation trick. It's a reflection of the fact that the
52:54
Speaker 3: interior of the black hole and the exterior radiation are
52:57
Speaker 3: highly entangled, and therefore, at the fundamental level they are
53:00
Speaker 3: geometrically adjacent.
53:02
Speaker 2: The paradox dissolves because the stage itself dissolves. The information
53:06
Speaker 2: was never lost, because it was never placed in a
53:08
Speaker 2: physical box. It remains an active node in the informational
53:11
Speaker 2: web of the universe.
53:13
Speaker 3: It is the ultimate paradigm shift. Resolving the black hole
53:16
Speaker 3: information paradox isn't just about saving an encyclopedia. It is
53:20
Speaker 3: forcing us to construct a full theory of quantum gravity,
53:23
Speaker 3: a theory where gravity, geometry, and space itself are merely
53:27
Speaker 3: the shadow cast by the interactions of quantum data.
53:30
Speaker 2: We started by looking at a dead star collapsing, but
53:33
Speaker 2: this paradox has dragged us to the absolute limits of
53:36
Speaker 2: human understanding. It proves that our current lenses general relativity
53:40
Speaker 2: and quantum mechanics are insufficient when you superimpose them, reality breaks.
53:45
Speaker 3: We need a new unified framework. Whether that framework involves
53:49
Speaker 3: holographic boundaries encoding our reality, bizarre quantum islands overlapping with
53:53
Speaker 3: deep space, or the profound realization that space time is
53:57
Speaker 3: an illusion woven from entangled data. Bit the conclusion is inescapable.
54:02
Speaker 3: The universe is fundamentally an informational system.
54:05
Speaker 2: We need to understand how the cosmos handles its most
54:07
Speaker 2: fundamental currency, and that leads to a concluding thought I
54:10
Speaker 2: want to leave you with. We've spent this time discussing
54:13
Speaker 2: reality as a projection and information as an immortal, indestructible asset.
54:18
Speaker 2: Let's take the concept of emergent space time to its
54:20
Speaker 2: logical extreme.
54:21
Speaker 3: It is a perspective altering idea.
54:24
Speaker 2: If space time and gravity are merely emergent properties generated
54:28
Speaker 2: by a deeper network of quantum entanglement, then information is
54:32
Speaker 2: not just something that exists within the universe. It isn't
54:34
Speaker 2: a book sitting on a geometric shelf. Information is the universe.
54:39
Speaker 2: The cosmos is constructed of pure data, and if that
54:42
Speaker 2: is true, then black holes which crunch that data down
54:45
Speaker 2: to its absolute extreme mathematical limits, are not the universe's
54:49
Speaker 2: garbage disposals.
54:50
Speaker 1: Not at all.
54:51
Speaker 2: Perhaps they aren't destroying reality at all. If the area
54:54
Speaker 2: of an event horizon defines the maximum storage capacity of nature,
54:58
Speaker 2: perhaps black holes are the hyper dense quantum hard drives
55:01
Speaker 2: of the cosmos, structures designed to compress and store the
55:04
Speaker 2: data of reality until a completely new understanding of physics
55:08
Speaker 2: can be booted up from them. It forces you to wonder,
55:11
Speaker 2: if the universe is ultimately a vast computational system flawlessly
55:15
Speaker 2: executing unitary operations, What exactly is the computation doing. What
55:18
Speaker 2: is the universe trying to calculate.
55:20
Speaker 3: A question that redefines the purpose of physical existence entirely?
55:23
Speaker 2: Something to ponder the next time you step outside, look
55:27
Speaker 2: up at the seemingly simple, smooth fabric of the night sky,
55:30
Speaker 2: and wonder what the true nature of the vault really
55:32
Speaker 2: is