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Hologram Within a Hologram Hints at Solution to Black Hole Information Paradox

124 points by tambourine_man 7y ago

Chris_Chambers 7y ago
It’s sad to see such obvious Terry Davis tier mental illness get celebrated like this. Schizophrenic rants about black holes containing meaningful coherent “information” are as sane and rational as flat earthers and people who think we never went to the moon. Stop encouraging them, these people are isolated in echo chambers of delusion and urgently need help.
parksy 7y ago
Fascinating. I know the work these physicists are doing is vastly more complex and involved, but I can't help but draw comparison to my own musings. I've been chipping away at various angles of information theory as a hobby for a few years now, conceptually for me a black hole in the traditional sense is like compressing random bits to a single zero or one - there'd be no way of getting information back out in the original order. Encoding a higher dimensional representation holographically would be like having a side channel of information I guess, so you could have the 0 or 1 as the 'black hole' but still can reference external state data to reconstitute meaning from it. Entropy is preserved, and laws of maths and physics are no longer being broken. Say, I can divide a sequence of bits by 2 if they're even, or add one then divide by two if they're odd, repeatedly until the result is 1 (after which the sequence repeats indefinitely, but we can stop at 1 - similar but different to the collatz conjecture). If I know the sequence of operations I can rebuild the original data, but encoding that sequence of operations is the exact same amount of information as the original sequence (in my tests at least). I'm kind of comforted by the fact that it may turn out black holes aren't destroying information, merely transforming it.
- mjevans 7y ago
  The reduction of information aspect you suggest contradicts one of the key elements outlined in the article (the QM view that information might be transformed (combined/processed) but never removed). I offer my own, within this realm of discussion, layman's perspective that a black hole might be metaphorically similar to an above ground swimming pool with a (small) hole in the side, within a still larger pool. If there is an orderly structure within the small pool the flow will remove structured information from within and spray it back out. Following the above metaphore and the impression the article gave me: a black hole does something similar but in a more fourth-dimensional hysteresis format. Over time the energy and "information" contained within (or released out as other forms of energy) is observation-ally constant. This would be a lot more like the way a moon can create tides that pull water in and out of a bay. While I would also love for science fiction toys like the Portal Gun (or other wormholes/gateways) to be a reality, I really doubt they're actually possible and even if they are this would probably be as close to realizing them as discovering the principles of electricity were to creating the microprocessor.
  - parksy 7y ago
    Can you point out specifically what I said that contradicts, not trying to be obtuse but I want to reassess my thinking. The reduction of information example I thought agreed with the article, because traditionally (or in other words in layman's understanding) a black hole seems to have been represented as thing that removes information from the universe, which would be like taking a sequence of binary and reducing it to a 1 or 0 through some hidden methods. You'd never be able to get back the original data - unless you had some encoding of the steps taken to reduce, i.e. through a transformation. Genuinely I'm just not quite sure which bit of my analogy contradicts the article, and perhaps I've just not been clear enough in what I am writing, but I appreciate your comment in any regards.
    - qubex 7y ago
      Basically quantum theory forbids hashing (because it’s an irreversible form of information loss) — but what you are proposing is not a hash since it produces a stream of bits which re-encode the original string (simply in a different form).
- mycall 7y ago
  > is like compressing random bits to a single zero or one - there'd be no way of getting information back out in the original order. This is how modulus works for hashing. The number of turns around a circle is lost but is computationally accurate and well-formed.
  - parksy 7y ago
    My understanding previously was that black holes are hashing the universe in a way, irretrievably reducing information to a more fundamental and irreversible state, while this article implies that actually, they're merely transforming the information and we have the ability to read a map (holographic extra-dimensional information from the emitted radiation) to resequence at least some of that information. Interesting to think about.
Dylan16807 7y ago
[dead comment that isn't exactly terrible but I don't particularly want to vouch for]> Schizophrenic rants about black holes containing meaningful coherent “information” are as sane and rational as flat earthers It's not "coherent" information. It's the markings caused by a trillion different impacts. And smoothing things out takes energy, so it would be strange if all those marks dissolved away spontaneously. The statement "the things that fell into a black hole affect the radiation coming out of it" isn't even a weird thing to say!
- millstone 7y ago
  It would be very surprising if the things that fall into a black hole affect the radiation coming out of it. The reason is that "the things that come out of it" are reference frame dependent. That is, you and I will disagree on what is emitted as Hawking radiation. In fact a free-falling observer will observe NO Hawking radiation! So Hawking radiation must be determined entirely by spacetime geometry, which depends only on mass-energy-momentum and not things like baryon number. Oh, and "smoothing things out takes energy" doesn't seem right. Consider the heat equation: a solid with a temperature differential reaches equilibrium while conserving energy.
  - Dylan16807 7y ago
    > It would be very surprising if the things that fall into a black hole affect the radiation coming out of it. I mean absent all the exotic physics calculations, since that comment is saying that people are too twisted up in theoretical math. In a very basic sense it seems reasonable. > So Hawking radiation must be determined entirely by spacetime geometry, which depends only on mass-energy-momentum and not things like baryon number. I'm not really following that 'so'. Lots of things are reference frame dependent but still depend on exact particles.
keyle 7y ago
This could be a ground breaking change in our understanding of black holes, right?
mjfl 7y ago
I don’t understand why there is a black hole information paradox. Nothing ever falls into a black hole in our frame of reference - it takes infinite time.
- hnick 7y ago
  That confuses me because it sounds a lot like Zeno's Paradox. If nothing ever falls inside how are we observing the effects of black holes which have mass? The mass must have fallen in at some point so it can't have taken forever. I know this stuff is confusing but an explanation would be great :)
  - adrianN 7y ago
    Can we actually distinguish black holes with a singularity in the middle from more mundane extremely dense objects, e.g. quark degenerate matter?
    - hnick 7y ago
      Do you mean empirically? I think so, based on gravitational lensing effects and not allowing light through directly. A lesser object won't have an event horizon. But I'm hardly an expert.
    - l33tman 7y ago
      If you mean two objects where the first has a singularity and the second "just" an equivalently heavy matter-object, strictly speaking in classical GR (as the only agreed-on current theory) the latter will invariably collapse into the former so the answer is no. But on the other hand, I don't think any modern particle physicist actually believes there is a singularity as its a purely classical construct. This is why there is so much research into black hole information processing in the first place.
- chrischen 7y ago
  As time -> infinity, information destruction -> infinity.
- 7y ago
darkmighty 7y ago
This appears to confirm a prediction of mine that black holes aren't really black holes -- you can escape them just fine ! I think physicists will become more and more convinced of this fact -- there can be no impassable communication barrier (no event horizon). I believe black holes will be understood in the future as simply arbitrarily massive stars with increasing time dilation. That's because historically it was always assumed black holes do exist, and worked from there. Models of collapse were never fully laid out, and most don't consider an external observer as the correct reference. It's essentially analogue to thinking the field of electrons would diverge when sufficiently close to them (and the paradoxes this would bring). The light escape mechanism will not turn out to be exotic -- it's simply ordinary light being emitted by objects making its way out in an ordinary null geodesic, which is possible since there is not event horizon :)
- h4areh4er3 7y ago
  Sorry I don't think you should be downvoted. But I think the main criticism of your post, is that yes, we do have an impassable communication barrier in the sense of locality and the speed of light. A black hole's singularity, after all, can be equally described as "light slowing down" or "space stretching". So while there's no hard "information barrier", there is still no possible means of communication.
  - LessDmesg 7y ago
    I think what he meant was that we have no proof that "singularity" even exists. Cosmologists have a penchant for coming up with infinities: infinite density in the moment of “Big Bang", infinite time dilation at an "event horizon" etc, but in actual observation nothing infinite was ever seen. A particle's field is represented with an 1/r2 function but somehow there are no infinite fields in real matter - black holes may turn out to be something similar too!
    - antonvs 7y ago
      Modern cosmologists don't generally believe the Big Bang involved infinite density, nor do they believe that physical singularities of infinite density exist. Confusion arises because theories predict these things, but one has to be careful to distinguish cases where the theory is being used in a regime beyond its effective domain, from other cases where infinities are less problematic. For example: > in actual observation nothing infinite was ever seen. "Real" infinities do show up in various places in physics and cosmology, not in the sense of objects with infinite density, but in more abstract ways. For example, it takes infinite energy to accelerate an object with mass to the speed of light - which we interpret to mean that it is not possible to do that. A more relevant example is that beyond our cosmic event horizon, light that is emitted "now" will never reach us, even if we wait an infinite time. That is another kind of abstract infinity that doesn't pose any serious conceptual problem. One effective way to model this case is that the light is infinitely redshifted, very much like light from the event horizon of a black hole. In fact, some models equate the two cases. You can argue that infinitely redshifted light doesn't actually exist, and in a sense you'd be right - but the point is that very good models predict that the light tends towards being infinitely redshifted, and the effect is that we never see it, even after infinite time. As such, talking about infinite redshift effectively means that the light in question doesn't exist in the region in question, and "infinite redshift" is a consistent way to model that. Infinite redshift also implies zero amplitude, which again implies that the light in question doesn't exist in that region. (As an aside, Heisenberg tells us there's no such thing as a consistently zero amplitude quantum field, which gives us a direct link to Hawking radiation from event horizons!) > I think what he meant was that we have no proof that "singularity" even exists. As I mentioned, that's not controversial. But what the original commenter wrote was "you can escape [black holes] just fine !" That contradicts everything we know about physics, including our observational evidence of actual black holes. Importantly, the infinities that arise at the event horizon are also observer-dependent. The infalling observer doesn't see anything special at the event horizon, it's only an external observer that observes time and redshift tending towards infinity. This is again analogous, if not equivalent to, the cosmic event horizon I mentioned - the cosmic event horizon isn't common to all observers. If you could travel to the location of the cosmic event horizon we observe from Earth, you would find nothing special there, and you would observe another cosmic event horizon 46.5 billion light years away. It's similar to the ordinary visible horizon on Earth in this sense. So there's no fundamental physical problem in this case with taking the infinities literally, as long as you correctly understand what that means. Besides, for the question of escaping a black hole, it doesn't really matter whether these values actually "reach" infinity - you still aren't going to be able to escape a black hole.
aurelian15 7y ago
Related PBS Space Time episode about the "Black Hole Information Paradox" (in general, not about the particular paper discussed in the article): https://www.youtube.com/watch?v=9XkHBmE-N34 https://www.youtube.com/watch?v=9XkHBmE-N34
CuriouslyC 7y ago
Maybe our understanding of black holes is woefully incomplete and the paradox is a result of our own ignorance.
- antonvs 7y ago
  That's more or less what the "paradox" is telling us, and research like the the OP is attempting to address. It's a conflict in predictions involving different theories - quantum mechanics only, vs. quantum mechanics plus general relativity. It's a "paradox" in the sense that the two approaches reach conclusions that contradict each other - both can't be right. The conflict implies that one or both theories are incomplete or incorrect in some way - which we already knew, because quantum mechanics and general relativity are known to be incompatible with each other in various ways. Such conflicts are rich ground for discovering new physics, because they highlight very specific weaknesses in existing theories. That's why people like Hawking, Susskind, and many others have spent so much time on this.
Agebor 7y ago
I wonder how this relates to Cosmological Natural Selection theory - the idea is that the black hole 'bounces' into a child universe, which inherits some of the parent characteristics. Perhaps the information finds its way there. https://blogs.scientificamerican.com/guest-blog/the-logic-and-beauty-of-cosmological-natural-selection/ https://blogs.scientificamerican.com/guest-blog/the-logic-an...
nabla9 7y ago
Popularizing the bleeding edge of theoretical physics like they do in IAS is hard. The holographic principle is something you can grasp. It's also possible to understand the general concept of duality. But how anti-de Sitter/conformal field theory correspondence works and what follows would require more than reading these articles can give. You could test learning and understanding by making questions based on these articles where answers are not given in text and I doubt that you could answer any of them. Or they could write two articles where one is carefully crafted nonsense and it would be hard to figure out witch one is true.
throwaway_tech 7y ago
This is sort of the basis of a visual model I have designed for a 4 cube/tesseract (what I call the "kaluza-klein cube" or "holocube") and a 5 cube (I call the "holofractal cube"). Holocube/Kaluza-Klein Cube: https://www.dropbox.com/s/3o0ovqe41j624wy/image4.jpeg?dl=0 https://www.dropbox.com/s/3o0ovqe41j624wy/image4.jpeg?dl=0 Holo-Fractal Cube: https://www.dropbox.com/s/gmk375cgu2rylcu/image1.jpeg?dl=0 https://www.dropbox.com/s/gmk375cgu2rylcu/image1.jpeg?dl=0 Although Kaluza-Klein theory has been disproven, I can't help but be amazed that solving Einstein's equations in the higher dimensions independently results the equations for electro-magnetism (light). I also can't help but like the idea quatum mechanics is simply physics for higher dimensions, and that all objects we believe are 3D extend both inward into 4D (particles) and outward from the object in 4D (light/electro-magnetism). Edit: May be more accurate to say solving Einstein equations in 5th dimension independently yield the five-dimensional Einstein equations yield the four-dimensional Einstein field equations, the Maxwell equations for the electromagnetic field, and an equation for the scalar field.
- Yajirobe 7y ago
  > solving Einstein's equations in the higher dimensions independently results the equations for electro-magnetism Could you link a source to this? I would love to read about it.
  - snagglegaggle 7y ago
    That's a pretty big claim. It potentially means the theory got close to a unified theory. Can a real physicist chime in?
    - throwaway_tech 7y ago
      It was a unified theory, and Einstein approved (note, this was pre-weak and strong force so it was a unification of gravity and electro-magnetism only). It was eventually disproven, but the math serves as the basis for higher dimensional theories (i.e. string theory)

It’s sad to see such obvious Terry Davis tier mental illness get celebrated like this. Schizophrenic rants about black holes containing meaningful coherent “information” are as sane and rational as flat earthers and people who think we never went to the moon. Stop encouraging them, these people are isolated in echo chambers of delusion and urgently need help.

parksy 7y ago

Fascinating. I know the work these physicists are doing is vastly more complex and involved, but I can't help but draw comparison to my own musings. I've been chipping away at various angles of information theory as a hobby for a few years now, conceptually for me a black hole in the traditional sense is like compressing random bits to a single zero or one - there'd be no way of getting information back out in the original order. Encoding a higher dimensional representation holographically would be like having a side channel of information I guess, so you could have the 0 or 1 as the 'black hole' but still can reference external state data to reconstitute meaning from it. Entropy is preserved, and laws of maths and physics are no longer being broken. Say, I can divide a sequence of bits by 2 if they're even, or add one then divide by two if they're odd, repeatedly until the result is 1 (after which the sequence repeats indefinitely, but we can stop at 1 - similar but different to the collatz conjecture). If I know the sequence of operations I can rebuild the original data, but encoding that sequence of operations is the exact same amount of information as the original sequence (in my tests at least). I'm kind of comforted by the fact that it may turn out black holes aren't destroying information, merely transforming it.

mjevans 7y ago
The reduction of information aspect you suggest contradicts one of the key elements outlined in the article (the QM view that information might be transformed (combined/processed) but never removed). I offer my own, within this realm of discussion, layman's perspective that a black hole might be metaphorically similar to an above ground swimming pool with a (small) hole in the side, within a still larger pool. If there is an orderly structure within the small pool the flow will remove structured information from within and spray it back out. Following the above metaphore and the impression the article gave me: a black hole does something similar but in a more fourth-dimensional hysteresis format. Over time the energy and "information" contained within (or released out as other forms of energy) is observation-ally constant. This would be a lot more like the way a moon can create tides that pull water in and out of a bay. While I would also love for science fiction toys like the Portal Gun (or other wormholes/gateways) to be a reality, I really doubt they're actually possible and even if they are this would probably be as close to realizing them as discovering the principles of electricity were to creating the microprocessor.
- parksy 7y ago
  Can you point out specifically what I said that contradicts, not trying to be obtuse but I want to reassess my thinking. The reduction of information example I thought agreed with the article, because traditionally (or in other words in layman's understanding) a black hole seems to have been represented as thing that removes information from the universe, which would be like taking a sequence of binary and reducing it to a 1 or 0 through some hidden methods. You'd never be able to get back the original data - unless you had some encoding of the steps taken to reduce, i.e. through a transformation. Genuinely I'm just not quite sure which bit of my analogy contradicts the article, and perhaps I've just not been clear enough in what I am writing, but I appreciate your comment in any regards.
  - qubex 7y ago
    Basically quantum theory forbids hashing (because it’s an irreversible form of information loss) — but what you are proposing is not a hash since it produces a stream of bits which re-encode the original string (simply in a different form).
mycall 7y ago
> is like compressing random bits to a single zero or one - there'd be no way of getting information back out in the original order. This is how modulus works for hashing. The number of turns around a circle is lost but is computationally accurate and well-formed.
- parksy 7y ago
  My understanding previously was that black holes are hashing the universe in a way, irretrievably reducing information to a more fundamental and irreversible state, while this article implies that actually, they're merely transforming the information and we have the ability to read a map (holographic extra-dimensional information from the emitted radiation) to resequence at least some of that information. Interesting to think about.

Dylan16807 7y ago

[dead comment that isn't exactly terrible but I don't particularly want to vouch for]> Schizophrenic rants about black holes containing meaningful coherent “information” are as sane and rational as flat earthers It's not "coherent" information. It's the markings caused by a trillion different impacts. And smoothing things out takes energy, so it would be strange if all those marks dissolved away spontaneously. The statement "the things that fell into a black hole affect the radiation coming out of it" isn't even a weird thing to say!

millstone 7y ago
It would be very surprising if the things that fall into a black hole affect the radiation coming out of it. The reason is that "the things that come out of it" are reference frame dependent. That is, you and I will disagree on what is emitted as Hawking radiation. In fact a free-falling observer will observe NO Hawking radiation! So Hawking radiation must be determined entirely by spacetime geometry, which depends only on mass-energy-momentum and not things like baryon number. Oh, and "smoothing things out takes energy" doesn't seem right. Consider the heat equation: a solid with a temperature differential reaches equilibrium while conserving energy.
- Dylan16807 7y ago
  > It would be very surprising if the things that fall into a black hole affect the radiation coming out of it. I mean absent all the exotic physics calculations, since that comment is saying that people are too twisted up in theoretical math. In a very basic sense it seems reasonable. > So Hawking radiation must be determined entirely by spacetime geometry, which depends only on mass-energy-momentum and not things like baryon number. I'm not really following that 'so'. Lots of things are reference frame dependent but still depend on exact particles.

keyle 7y ago

This could be a ground breaking change in our understanding of black holes, right?

mjfl 7y ago

I don’t understand why there is a black hole information paradox. Nothing ever falls into a black hole in our frame of reference - it takes infinite time.

hnick 7y ago
That confuses me because it sounds a lot like Zeno's Paradox. If nothing ever falls inside how are we observing the effects of black holes which have mass? The mass must have fallen in at some point so it can't have taken forever. I know this stuff is confusing but an explanation would be great :)
- adrianN 7y ago
  Can we actually distinguish black holes with a singularity in the middle from more mundane extremely dense objects, e.g. quark degenerate matter?
  - hnick 7y ago
    Do you mean empirically? I think so, based on gravitational lensing effects and not allowing light through directly. A lesser object won't have an event horizon. But I'm hardly an expert.
  - l33tman 7y ago
    If you mean two objects where the first has a singularity and the second "just" an equivalently heavy matter-object, strictly speaking in classical GR (as the only agreed-on current theory) the latter will invariably collapse into the former so the answer is no. But on the other hand, I don't think any modern particle physicist actually believes there is a singularity as its a purely classical construct. This is why there is so much research into black hole information processing in the first place.
chrischen 7y ago
As time -> infinity, information destruction -> infinity.
7y ago

darkmighty 7y ago

This appears to confirm a prediction of mine that black holes aren't really black holes -- you can escape them just fine ! I think physicists will become more and more convinced of this fact -- there can be no impassable communication barrier (no event horizon). I believe black holes will be understood in the future as simply arbitrarily massive stars with increasing time dilation. That's because historically it was always assumed black holes do exist, and worked from there. Models of collapse were never fully laid out, and most don't consider an external observer as the correct reference. It's essentially analogue to thinking the field of electrons would diverge when sufficiently close to them (and the paradoxes this would bring). The light escape mechanism will not turn out to be exotic -- it's simply ordinary light being emitted by objects making its way out in an ordinary null geodesic, which is possible since there is not event horizon :)

h4areh4er3 7y ago
Sorry I don't think you should be downvoted. But I think the main criticism of your post, is that yes, we do have an impassable communication barrier in the sense of locality and the speed of light. A black hole's singularity, after all, can be equally described as "light slowing down" or "space stretching". So while there's no hard "information barrier", there is still no possible means of communication.
- LessDmesg 7y ago
  I think what he meant was that we have no proof that "singularity" even exists. Cosmologists have a penchant for coming up with infinities: infinite density in the moment of “Big Bang", infinite time dilation at an "event horizon" etc, but in actual observation nothing infinite was ever seen. A particle's field is represented with an 1/r2 function but somehow there are no infinite fields in real matter - black holes may turn out to be something similar too!
  - antonvs 7y ago
    Modern cosmologists don't generally believe the Big Bang involved infinite density, nor do they believe that physical singularities of infinite density exist. Confusion arises because theories predict these things, but one has to be careful to distinguish cases where the theory is being used in a regime beyond its effective domain, from other cases where infinities are less problematic. For example: > in actual observation nothing infinite was ever seen. "Real" infinities do show up in various places in physics and cosmology, not in the sense of objects with infinite density, but in more abstract ways. For example, it takes infinite energy to accelerate an object with mass to the speed of light - which we interpret to mean that it is not possible to do that. A more relevant example is that beyond our cosmic event horizon, light that is emitted "now" will never reach us, even if we wait an infinite time. That is another kind of abstract infinity that doesn't pose any serious conceptual problem. One effective way to model this case is that the light is infinitely redshifted, very much like light from the event horizon of a black hole. In fact, some models equate the two cases. You can argue that infinitely redshifted light doesn't actually exist, and in a sense you'd be right - but the point is that very good models predict that the light tends towards being infinitely redshifted, and the effect is that we never see it, even after infinite time. As such, talking about infinite redshift effectively means that the light in question doesn't exist in the region in question, and "infinite redshift" is a consistent way to model that. Infinite redshift also implies zero amplitude, which again implies that the light in question doesn't exist in that region. (As an aside, Heisenberg tells us there's no such thing as a consistently zero amplitude quantum field, which gives us a direct link to Hawking radiation from event horizons!) > I think what he meant was that we have no proof that "singularity" even exists. As I mentioned, that's not controversial. But what the original commenter wrote was "you can escape [black holes] just fine !" That contradicts everything we know about physics, including our observational evidence of actual black holes. Importantly, the infinities that arise at the event horizon are also observer-dependent. The infalling observer doesn't see anything special at the event horizon, it's only an external observer that observes time and redshift tending towards infinity. This is again analogous, if not equivalent to, the cosmic event horizon I mentioned - the cosmic event horizon isn't common to all observers. If you could travel to the location of the cosmic event horizon we observe from Earth, you would find nothing special there, and you would observe another cosmic event horizon 46.5 billion light years away. It's similar to the ordinary visible horizon on Earth in this sense. So there's no fundamental physical problem in this case with taking the infinities literally, as long as you correctly understand what that means. Besides, for the question of escaping a black hole, it doesn't really matter whether these values actually "reach" infinity - you still aren't going to be able to escape a black hole.

aurelian15 7y ago

Related PBS Space Time episode about the "Black Hole Information Paradox" (in general, not about the particular paper discussed in the article): https://www.youtube.com/watch?v=9XkHBmE-N34 https://www.youtube.com/watch?v=9XkHBmE-N34

CuriouslyC 7y ago

Maybe our understanding of black holes is woefully incomplete and the paradox is a result of our own ignorance.

antonvs 7y ago
That's more or less what the "paradox" is telling us, and research like the the OP is attempting to address. It's a conflict in predictions involving different theories - quantum mechanics only, vs. quantum mechanics plus general relativity. It's a "paradox" in the sense that the two approaches reach conclusions that contradict each other - both can't be right. The conflict implies that one or both theories are incomplete or incorrect in some way - which we already knew, because quantum mechanics and general relativity are known to be incompatible with each other in various ways. Such conflicts are rich ground for discovering new physics, because they highlight very specific weaknesses in existing theories. That's why people like Hawking, Susskind, and many others have spent so much time on this.

Agebor 7y ago

I wonder how this relates to Cosmological Natural Selection theory - the idea is that the black hole 'bounces' into a child universe, which inherits some of the parent characteristics. Perhaps the information finds its way there. https://blogs.scientificamerican.com/guest-blog/the-logic-and-beauty-of-cosmological-natural-selection/ https://blogs.scientificamerican.com/guest-blog/the-logic-an...

nabla9 7y ago

Popularizing the bleeding edge of theoretical physics like they do in IAS is hard. The holographic principle is something you can grasp. It's also possible to understand the general concept of duality. But how anti-de Sitter/conformal field theory correspondence works and what follows would require more than reading these articles can give. You could test learning and understanding by making questions based on these articles where answers are not given in text and I doubt that you could answer any of them. Or they could write two articles where one is carefully crafted nonsense and it would be hard to figure out witch one is true.

throwaway_tech 7y ago

This is sort of the basis of a visual model I have designed for a 4 cube/tesseract (what I call the "kaluza-klein cube" or "holocube") and a 5 cube (I call the "holofractal cube"). Holocube/Kaluza-Klein Cube: https://www.dropbox.com/s/3o0ovqe41j624wy/image4.jpeg?dl=0 https://www.dropbox.com/s/3o0ovqe41j624wy/image4.jpeg?dl=0 Holo-Fractal Cube: https://www.dropbox.com/s/gmk375cgu2rylcu/image1.jpeg?dl=0 https://www.dropbox.com/s/gmk375cgu2rylcu/image1.jpeg?dl=0 Although Kaluza-Klein theory has been disproven, I can't help but be amazed that solving Einstein's equations in the higher dimensions independently results the equations for electro-magnetism (light). I also can't help but like the idea quatum mechanics is simply physics for higher dimensions, and that all objects we believe are 3D extend both inward into 4D (particles) and outward from the object in 4D (light/electro-magnetism). Edit: May be more accurate to say solving Einstein equations in 5th dimension independently yield the five-dimensional Einstein equations yield the four-dimensional Einstein field equations, the Maxwell equations for the electromagnetic field, and an equation for the scalar field.

Yajirobe 7y ago
> solving Einstein's equations in the higher dimensions independently results the equations for electro-magnetism Could you link a source to this? I would love to read about it.
- snagglegaggle 7y ago
  That's a pretty big claim. It potentially means the theory got close to a unified theory. Can a real physicist chime in?
  - throwaway_tech 7y ago
    It was a unified theory, and Einstein approved (note, this was pre-weak and strong force so it was a unification of gravity and electro-magnetism only). It was eventually disproven, but the math serves as the basis for higher dimensional theories (i.e. string theory)