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A New Theory Reveals How Space-Time Could Create Tiny Black Holes · The Quark Side - Quantum Physics Podcast

• 0:01
  Speaker 1: Welcome to the Quarkside Quantum Physics Podcast, an exploration of
• 0:05
  Speaker 1: the fundamental structure of reality, where quantum laws govern matter, energy,
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  Speaker 1: and information. Here, uncertainty is a feature, not a flaw,
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  Speaker 1: and understanding begins at the smallest scales.
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  Speaker 2: I want you to picture a black hole, but, uh,
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  Speaker 2: I want you to scale that image all the way down.
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  Speaker 3: Right, way down.
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  Speaker 2: Yeah, down past the size of a collapsing star, past
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  Speaker 2: the size of a mountain, even past a grain of sand.
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  Speaker 2: Picture a microscopic black hole.
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  Speaker 3: A singularity you could practically fit on the head of
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  Speaker 3: a pen.
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  Speaker 2: Exactly. Now imagine that this microscopic black hole wasn't formed from,
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  Speaker 2: you know, the chaotic matter of the early universe. Instead,
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  Speaker 2: it was birthed from this bizarre repeating structure. A crystal.
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  Speaker 3: Which just sounds wild.
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  Speaker 2: Right. But not a crystal made of physical matter. We're
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  Speaker 2: talking about a crystal formed entirely out of the fabric
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  Speaker 2: of space and time itself.
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  Speaker 3: It really does sound like a mathematical abstraction just pushed
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  Speaker 3: to its absolute breaking point.
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  Speaker 2: It really does.
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  Speaker 3: But we're actually looking at one of the most significant
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  Speaker 3: realities in modern theoretical physics right now.
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  Speaker 2: Yeah.
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  Speaker 3: We're talking about a scenario where the very geometry of
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  Speaker 3: the universe undergoes this phase transition. Okay.
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  Speaker 2: So a phase transition of space itself.
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  Speaker 3: Yeah, exactly. It momentarily organizes itself into a perfect crystalline pattern.
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  Speaker 3: And then, triggered by just a microscopic change in energy,
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  Speaker 3: it undergoes a critical collapse into a tiny black hole.
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  Speaker 2: And researchers have finally figured out exactly how this geometric
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  Speaker 2: collapse actually functions mathematically. So today, we are going to
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  Speaker 2: unpack this massive breakthrough. We're exploring how spacetime can temporarily
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  Speaker 2: lock into this discrete pattern how incredibly unstable that state is,
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  Speaker 2: and how physicists finally cracked the math to prove it.
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  Speaker 3: And the implications here are just huge. Researchers from TU Wayne,
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  Speaker 3: that's the Vienna University of Technology, and Goethe University Frankfurt,
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  Speaker 3: haven't just theorized this. They've finally captured it with real
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  Speaker 3: analytical mathematics.
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  Speaker 2: Which was basically impossible before, right?
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  Speaker 3: Completely. And to do it, they had to employ this
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  Speaker 3: incredibly unconventional mind-bending trick involving, well... Infinitely many dimensions.
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  Speaker 2: Okay, wait. Infinitely many dimensions. We are definitely going to
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  Speaker 2: get into that math trick. But before we expand the universe,
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  Speaker 2: I feel like we need to understand how a spacetime
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  Speaker 2: crystal can even exist in the first place.
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  Speaker 3: That's a good place to start.
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  Speaker 2: Because normally when we think of black holes, we think
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  Speaker 2: of violent cosmic events. Dead, massive stars collapsing under their
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  Speaker 2: own weight.
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  Speaker 3: Right. The stellar mass black hole.
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  Speaker 2: Yeah. But physics doesn't actually dictate a strict lower limit
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  Speaker 2: on size, does it?
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  Speaker 3: No, it doesn't. We have this concept of primordial black holes.
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  Speaker 2: Which are the ones from right after the Big Bang.
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  Speaker 3: Exactly. Shortly after the Big Bang, you had matter and
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  Speaker 3: energy packed into these intensely chaotic environments. The density fluctuations
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  Speaker 3: were so extreme that microscopic black holes could have just
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  Speaker 3: formed spontaneously.
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  Speaker 2: Okay, let's unpack this a bit for you listening, just
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  Speaker 2: to make sure we're all on the same page with
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  Speaker 2: the physics here. Going back to Einstein's theory of relativity,
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  Speaker 2: the core idea is that mass and energy curve spacetime.
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  Speaker 1: Right.
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  Speaker 3: The classic bowling ball on a trampoline analogy.
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  Speaker 2: Exactly. A massive star creates a deep well in the
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  Speaker 2: trampoline and it actually deflects light rays. But smaller masses
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  Speaker 2: produce curvature, too, just, you know, to a much lesser extent.
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  Speaker 3: Yeah. Every bit of mass or energy bends the fabric
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  Speaker 3: a little bit.
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  Speaker 2: So Christian Ecker, one of the researchers at Frankfurt, is
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  Speaker 2: looking at this curvature. But under certain critical conditions... This
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  Speaker 2: curvature doesn't just bend randomly like a bunch of dented trampolines.
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  Speaker 1: Right.
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  Speaker 3: Usually the metric tensor, which is just the math that
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  Speaker 3: describes this curvature, it fluctuates completely randomly in high energy environments.
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  Speaker 3: Just chaos, gravitational waves going everywhere.
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  Speaker 2: But under these specific conditions, it organizes.
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  Speaker 3: Yes. It ranges itself into this finely balanced repeating pattern
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  Speaker 3: across space and time. That is the spacetime crystal.
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  Speaker 2: Okay, I have to push back on the word crystal here.
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  Speaker 3: Oh, really?
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  Speaker 2: Yeah, because I know when you say crystal, a lot
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  Speaker 2: of people picture like a shiny quartz rock floating in
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  Speaker 2: a void.
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  Speaker 3: Ah, I see what you mean. Yeah, it's not a
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  Speaker 3: solid rock.
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  Speaker 2: Right. So instead of a rock, imagine spacetime is like
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  Speaker 2: the surface of a drum. Usually if you hit it
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  Speaker 2: with a bunch of random noise, it ripples chaotically. It's
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  Speaker 2: a mess.
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  Speaker 3: Just random noise.
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  Speaker 2: But under these exact critical conditions, the ripples suddenly lock in.
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  Speaker 2: They form the perfect repeating geometric grid on the drum head.
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  Speaker 2: It's not a physical object. It is a pattern in
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  Speaker 2: the fabric itself.
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  Speaker 3: That is actually a perfect analogy. You're talking about standing waves.
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  Speaker 3: A crystal, strictly speaking, is just any system that breaks
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  Speaker 3: continuous symmetry and becomes periodic. So the drum surface isn't
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  Speaker 3: flat anymore. It has this highly ordered repeating structure of
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  Speaker 3: peaks and valleys.
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  Speaker 2: A geometric grid made of gravity.
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  Speaker 1: Exactly.
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  Speaker 3: Exactly. But here's the catch. This structure is incredibly, almost
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  Speaker 3: impossibly delicate.
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  Speaker 2: Right. Which brings us to this idea of being on
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  Speaker 2: a razor's edge. Professor Daniel Grumler from TU Wien calls
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  Speaker 2: this space-time crystal a... I think his words were a
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  Speaker 2: very peculiar and fascinating object.
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  Speaker 3: Yeah, because it is an intermediate state. It is sitting
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  Speaker 3: exactly on a razor's edge between two completely different physical realities.
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  Speaker 2: And to help visualize how precarious this is, Grumler uses
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  Speaker 2: this great real-world analogy of water.
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  Speaker 3: Oh, the super-cooled liquid example.
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  Speaker 2: Yeah. Imagine liquid water sitting exactly at zero degrees Celsius.
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  Speaker 2: It's right at the freezing point, but it's still liquid. Right.
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  Speaker 3: It's highly sensitive.
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  Speaker 2: So sensitive that a tiny, seemingly insignificant change, like a
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  Speaker 2: speck of dust falling into it or a tiny temperature drop,
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  Speaker 2: triggers this dramatic shift. Suddenly, all the chaotic water molecules
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  Speaker 2: spontaneously arrange into a regular pattern.
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  Speaker 3: They form an ice crystal.
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  Speaker 2: Exactly. So what does this all mean for our spacetime crystal?
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  Speaker 2: If it balancing on that same razor's edge, what happens
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  Speaker 2: when it gets nudged?
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  Speaker 3: Well, it experiences what we call critical collapse. And it
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  Speaker 3: can evolve in two completely different directions.
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  Speaker 2: Two paths.
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  Speaker 3: Right. If you just leave it alone or slightly decrease
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  Speaker 3: the energy, the pattern just sort of dissipates. It dissolves
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  Speaker 3: back into ordinary, boring, flat spacetime, just freely moving particles.
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  Speaker 2: But what if you push it the other way?
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  Speaker 3: If you add even a tiny microscopic amount of energy
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  Speaker 3: to this balanced system, it takes a dramatic turn. that
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  Speaker 3: inconspicuous grid suddenly folds in on itself and collapses into
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  Speaker 3: a microscopic black hole.
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  Speaker 2: Okay, wait, I have to stop you there. Because we
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  Speaker 2: usually think of gravity and mass creating black holes, like
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  Speaker 2: piling on more and more weight until it breaks the trampoline,
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  Speaker 2: why does adding a tiny bit of energy trigger a
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  Speaker 2: black hole?
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  Speaker 3: That is a great question. It comes down to the
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  Speaker 3: fact that in these extreme environments, energy and mass are
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  Speaker 3: essentially two sides of the same coin when it comes
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  Speaker 3: to gravity.
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  Speaker 2: Because of the whole E equals MC squared thing.
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  Speaker 3: Exactly. Energy influences the geometry of spacetime just like mass does.
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  Speaker 3: And Einstein's equations are highly nonlinear, meaning gravity interacts with itself.
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  Speaker 2: Gravity creates more gravity.
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  Speaker 3: Yes. The gravitational field itself contains energy, and that energy
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  Speaker 3: creates more curvature. So when the spacetime crystal is in
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  Speaker 3: this delicate state, injecting even a tiny bit of energy
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  Speaker 3: causes the local curvature to deepen.
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  Speaker 2: And it traps itself.
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  Speaker 3: Yes. It deepens so fast. that the energy can't radiate away.
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  Speaker 3: It compounds, the geometry collapses, and boom, an event horizon forms.
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  Speaker 2: That is just terrifyingly elegant.
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  Speaker 3: It really is.
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  Speaker 2: But if physicists understand this critical collapse so well, why
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  Speaker 2: is this making headlines right now?
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  Speaker 3: Because of the math. We've actually known about this phenomenon
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  Speaker 3: for over 30 years.
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  Speaker 2: Wait, 30 years?
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  Speaker 1: Yeah.
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  Speaker 3: Computer simulations first predicted this spontaneous black hole formation back
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  Speaker 3: in 1993.
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  Speaker 2: Okay, so if a computer simulated it in 1993, what
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  Speaker 2: was the roadblock? Why did it take three decades to
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  Speaker 2: figure it out?
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  Speaker 3: Because simulating something numerically is very different from solving it analytically.
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  Speaker 2: Like using paper and pencil.
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  Speaker 3: Exactly. A computer can take a billion data points, grid
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  Speaker 3: up space-time, and calculate changes step-by-step to show you what happens.
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  Speaker 2: Right.
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  Speaker 3: But physicists want the actual mathematical equations. They want the
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  Speaker 3: algebraic formula that governs the whole system. And Einstein's field
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  Speaker 3: equations are so complex, so nonlinear, that deriving that exact
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  Speaker 3: formula by hand was essentially impossible. They hit a massive wall.
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  Speaker 2: And here is where it gets really interesting. Because the
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  Speaker 2: researchers in Vienna and Frankfurt didn't just push harder against
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  Speaker 2: that wall. They used a wild workaround to solve the
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  Speaker 2: unsolvable math problem.
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  Speaker 3: It really is wild.
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  Speaker 2: They changed the number of dimensions in their calculations.
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  Speaker 3: Yes. Christian Ecker and the team essentially said, Four dimensions
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  Speaker 3: are too hard. Let's use infinity.
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  Speaker 2: Which, okay, our universe has four dimensions, right? Three of space,
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  Speaker 2: one of time, up, down, left, right, forward, back, and time.
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  Speaker 3: That's our observable reality, yes. But mathematically, you aren't restricted
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  Speaker 3: by that. Nothing stops you from writing general relativity equations
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  Speaker 3: for five dimensions or 42 dimensions or even infinitely many dimensions.
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  Speaker 2: But that sounds incredibly counterintuitive. That's like trying to solve
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  Speaker 2: a Rubik's Cube. finding it way too hard, and deciding
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  Speaker 2: to add a million extra sides to it to make it, quote.
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  Speaker 3: Unquote, easier. I love that analogy. It sounds ridiculous, but
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  Speaker 3: there is a beautiful mathematical paradox here. Surprisingly, when the
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  Speaker 3: number of dimensions approaches infinity, certain complex calculations actually become
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  Speaker 3: much easier to manage.
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  Speaker 2: How does adding infinity make it simpler? Wouldn't it add
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  Speaker 2: an infinite amount of variables?
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  Speaker 3: You would think so, but think about how gravity works.
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  Speaker 3: In our 3D space, gravity fades as you get further
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  Speaker 3: away from an object. it reaches out across the universe.
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  Speaker 2: Right, the inverse square law.
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  Speaker 3: Exactly. But in a universe with infinite dimensions, gravity falls
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  Speaker 3: off so rapidly that it effectively drops to absolute zero
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  Speaker 3: right outside the object.
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  Speaker 2: Wait, really?
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  Speaker 3: It just stops? It just stops.
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  Speaker 2: Yep.
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  Speaker 3: Gravity becomes completely localized. It doesn't reach out into the
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  Speaker 3: surrounding space at all.
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  Speaker 2: So you don't have to calculate all those messy gravitational
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  Speaker 2: waves interacting with the rest of the universe.
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  Speaker 3: The infinitely steep gradient completely isolates the geometry. The messy, nonlinear,
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  Speaker 3: partial differential equations just flatten out into much simpler equations.
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  Speaker 2: Okay, so the researchers solved the physics problem in this
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  Speaker 2: hypothetical infinite dimension setting, which is brilliant.
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  Speaker 3: It gave them the clean base solution they had been
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  Speaker 3: looking for.
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  Speaker 2: But we don't live in infinite dimensions. So how do
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  Speaker 2: they get that answer back down into the four dimensional
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  Speaker 2: space time that you and I actually live in?
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  Speaker 3: They use something called an expansion parameter. They basically treat
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  Speaker 3: the infinite dimension solution as a starting point. And then mathematically,
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  Speaker 3: they calculate small corrections step by step to lower the
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  Speaker 3: dimensions back down.
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  Speaker 2: It's like they're slowly turning the mathematical volume knob back
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  Speaker 2: up on all those complicated nonlinear interactions.
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  Speaker 3: That's a great way to put it. They reconstruct the
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  Speaker 3: complexity layer by layer Until they mapped the solution perfectly
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  Speaker 3: back onto our four-dimensional reality. And the equations hold. They
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  Speaker 3: extracted the exact mathematical description of the spacetime crystal collapsing.
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  Speaker 2: That is just phenomenal engineering. You temporarily break the physical
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  Speaker 2: parameters of the universe just to isolate the equation and
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  Speaker 2: then slowly rebuild reality around it.
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  Speaker 3: And it completely changes the game. Florian Ecker, one of
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  Speaker 3: the key researchers, pointed out that this technique is remarkably stable.
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  Speaker 3: It can be systematically improved.
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  Speaker 2: So it's not just a one-off trick.
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  Speaker 3: No, not at all. It gives physicists a brand new
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  Speaker 3: way to study extreme black hole phenomena analytically. They don't
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  Speaker 3: have to rely entirely on computer simulations anymore. They can
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  Speaker 3: actually read the underlying math of these critical states.
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  Speaker 2: You know, there's almost a broader life philosophy hidden in
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  Speaker 2: that infinite dimensions trick.
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  Speaker 3: Oh, how so?
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  Speaker 2: Well, sometimes when you are completely stuck on an impossible problem,
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  Speaker 2: like a 30-year mathematical roadblock, the solution isn't just to
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  Speaker 2: push harder against the wall. Right. It's to entirely change
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  Speaker 2: the framework. You have to change the dimensions of how
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  Speaker 2: you are looking at the problem. By making it infinitely
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  Speaker 2: more abstract, they actually found the simplicity they needed to
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  Speaker 2: solve it.
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  Speaker 3: I really like that takeaway. You have to step outside
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  Speaker 3: the confines of the environment that created the problem in
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  Speaker 3: the first place.
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  Speaker 2: Exactly. And it leaves us with this incredible mind-expanding concept.
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  Speaker 2: We now know, analytically, that spacetime can essentially freeze into
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  Speaker 2: a crystal phase and then collapse into a black hole.
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  Speaker 3: It has phases. Just like matter.
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  Speaker 2: Exactly. Just like H2O can be ice or liquid or vapor,
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  Speaker 2: it really makes you wonder what other bizarre undiscovered phases
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  Speaker 2: might the very fabric of our universe be capable of
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  Speaker 2: taking on under the right conditions.
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  Speaker 1: Right.
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  Speaker 2: If space itself can crystallize, what else is hiding in
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  Speaker 2: the math?
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  Speaker 3: That's a pretty staggering thought.
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  Speaker 2: Yeah.
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  Speaker 3: We're really just scratching the surface of what the geometry
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  Speaker 3: of reality can do.
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  Speaker 2: We really are. Thank you for joining us today for
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  Speaker 2: this exploration into the outer edges of physics. It's a
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  Speaker 2: lot to wrap your head around, but honestly, looking at
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  Speaker 2: the universe in infinite dimensions might just be the best
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  Speaker 2: way to understand our own. Catch you next time.