Susskind's original paper is shockingly readable, at least the first section. It doesn't use a lot of fancy math or derivations to justify holography. Mostly it uses basic concepts from undergraduate physics to show how the idea of holography is consistent and makes sense, despite it seeming incredibly counterintuitive at first glance.
For instance, figure 3 shows how you can't hide a black hole behind another black hole, which has implications for how a 3D universe can be completely encoded in a 2D region.
I recommend when sharing arxiv links to link to the abstract. That way your reader can decide for themselves whether they want to bother with either a PDF or HTML version, especially since the HTML views are still experimental and have occasional display issues across devices.
What shape is space? Like, how far does space extend "above" and "below" where the Earth hangs in space? What stuff is there in both areas?
My concept of space is informed by the hammock analogy where gravity is the result of the bodies' mass/density causing the fabric to sag and draw in approaching objectz
Much of Susskind's papers are like that. A few simple equations motivated by dimensional analysis, a couple of Penrose diagrams, and the rest speculation and insight.
Pause for a moment to reflect on how outrageous this assertion is. You can’t see into the box at all. Nevertheless, holography says that you can learn exactly what’s happening everywhere in the box without any access to the interior. Observing the surface alone is enough. In this sense, the amount of stuff that fills a box is the same as the amount of paint that covers it. That’s a violation of logic and geometry.
The breathless tone of this article obscures rather than illuminates its subject. It sounds as if the author describes a box with some particles bouncing around inside, and every time a particle bounces off the wall of the box the outside glows briefly indicating the location and intensity of the collision. The author is amazed that by repeatedly measuring this, you can draw inferences about what's going on in the box.
I can't see what's 'outrageous' about this. You need a lower surface which registers information about activity inside a higher-dimensional volume, some way to accurately read that information, and the time/patience to repeat the measurement many times. Isn't this how radar works, or feeling your way around a pitch-dark room using only the 2-dimensional surface of your hands (or shins)? We know from computer science that you can mathematically encode any structure of arbitrary dimension into a binary tree. One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror, film strip, or camera sensor.
Indeed. A "violation of logic and geometry"? Reading the author's own description, it's hard to see what the big deal is:
"Put a box around any region of space (space-time, really, but I’m going to drop time throughout this essay for ease of visualization, as physicists often do). The holographic principle asserts that no matter what’s going on inside — from gas molecules pinging around to black holes colliding — you can decipher the entire contents of the box just by repeatedly measuring points on the surface."
Well, if we're bounding a region of space-time then, in a purely classical universe governed by deterministic ODEs or PDEs, the statement reduces to a triviality: having information about the boundary amounts to knowing all boundary conditions. Of course I understand that this isn't really the statement of the holographic principle, but the article's formulation is rather underwhelming.
It’s not just drawing inferences, though; it’s saying you can determine exactly what’s happening in the box. But the pigeonhole principle would suggest there’s far more possible states in the 3-dimension volume than can be unique expressed on the 2-dimensional surface. That’s the part that defies common sense.
2d observed over time is also 3d. 3d over time would be 4d.
You still have less information than if you could observe the full 3d spatial volume over time, because presumably you won't know in perfect detail qnd precision what all the particles are doing internally?
Does it? Isn't this basically the same as how cellular companies can figure out exactly where someone is calling from as long as their phone is pinging 3+ towers? Just connect the towers into a box and you have the same result.
If the events inside the box can’t influence events outside the box directly, only by changing the surface of the box, it’s fair to say they don’t happen at all, and all that happens is the change of the surface.
If you're willing to use continuous dimensions, the surface is the same size as the volume; I don't see why the pigeonhole principle would present any problems.
Interestingly enough, I believe there is a result that space-filling curves cannot be one-to-one, but the implication there is just that, by virtue of the continuity of the one-dimensional curve, it contains more points than the two-dimensional space that it fills.
I remember thinking space filling curves were completely magical when I first learned about them. It feels like there should be some connection with holography although they don't get mentioned in the article.
I feel the most interesting implication of the enclosing surface being a complete description of the enclosed volume and its contents implies the contents don’t need to exist. If you think physics as the set of rules that applied to one full state of reality can completely give it’s next state, then having redundant representations is wasteful and the interior of the enclosed volume, as the interior of the black hole, might not need to exist, or to be represented at all. If you extend this to the full spacetime we inhabit, it all would be the encoded in its boundary and, therefore, only the boundary is needed.
> One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror
You could ask, but that isn't possible, so the question is of dubious value. There are many states of the 3-dimensional world that will produce identical images in the surface of a mirror.
The metaphor as written is maybe bad, but the holographic idea really is outrageous and mindboggling. Because according to it the inside might as well be completely empty.
> Isn't this how radar works, or feeling your way around a pitch-dark room using only the 2-dimensional surface of your hands (or shins)?
> One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror, film strip, or camera sensor.
No this is different. You can't classically encode an arbitrary 3D world on a camera sensor without losing information. It can only create a 2D projection of surfaces. It can't look inside opaque objects. Countless distinct 3D objects could correspond to one an the same 2D projection. There are actually many examples of optical illusions which show that a 2D image can be ambiguous with regards the 3D space it represents.
>"One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror, film strip, or camera sensor."
Space filling curves with three dimensions could potentially provide us with some clues:
"In mathematical analysis and computer science, functions which are Z-order, Lebesgue curve, Morton space-filling curve,[1] Morton order or Morton code map multidimensional data to one dimension while preserving locality of the data points (two points close together in multidimensions with high probability lie also close together in Morton order)."
Also, to answer the question, potentially Octrees might be interesting to research:
"An octree is a rooted tree that represents a three-dimensional region by recursively subdividing it into eight congruent, axis-aligned cuboids, usually cubes (Meagher 1982, Samet 1990). Each internal node represents a spatial cell and has eight children, one for each octant of the cell. A tree leaf represents a cell that is not subdivided further."
But, since "a picture is worth one thousand words":
Another thing to consider is that according to the Knuth Transform (aka Left-Child Right-Sibling (LCRS) representation), apparently any k-ary tree (Octree = 8-ary tree) can apparently be converted into a Binary Tree without losing information:
Mathematician, not physicist, but it seems reasonable to me that you could encode a sufficiently constrained 3D space on a 2D boundary. And if you have such an encoding, it also doesn't seem insane that some things might be more easily modeled on the 2D boundary than the 3D space.
If you can convert back and forth between a 2D representation and a 3D representation, and different phenomena are more easily modeled in each, does it matter which is "real"? Unless of course you can come up with a specific prediction and experiment to test it.
My favorite quote and a point where something really clicked was when he said "If you tried smaller you would instead be making a Planck-size black hole".
Is the physical nonlocality of the relationship between the bulk and boundary somehow related to the noncontinuity of any bijection between manifolds of different dimension?
> Mathematician, not physicist, but it seems reasonable to me that you could encode a sufficiently constrained 3D space on a 2D boundary. And if you have such an encoding, it also doesn't seem insane that some things might be more easily modeled on the 2D boundary than the 3D space.
Yes, you are missing the point entirely. Merely saying "you could encode a sufficiently constrained 3D space on a 2D boundary" as you correctly noticed, would be meaningless.
The observation is that the 3D space has properties that are weird in 3D but natural in its 2D representation.
> does it matter which is "real"?
No.
Also if you have different representations of something and your job/goal is to think and gain instinct then you should keep in mind all the representations, they very likely will be useful. (An observed property of mathematics is that if a mathematician pours 40 hours per week of work in an area for years in a topic other mathematicians haven't exhausted yet, she will find something there.)
As a non expert who's just curious about science but also tries to talk like a normal person, from what I can tell holography really seems like it's now the leading candidate to be the next big conceptual revolution in physics.
There's not necessarily any breakthrough right around the corner and we shouldn't rush to coronation preemptively, but there's a lot of physics "voting with their feet" for holography as the article says, and I think it's officially time to start getting hyped. It could have sanity-restoring answers to questions of quantum weirdness, albeit at the rather expensive cost of giving up even more on our day to day intuitions about space and time in favor of an apparently informational substrate.
String theory had a generation of great science communicators writing its books and singing its praises, but holography doesn't yet have equivalent public champions, and I hope that's something that changes sooner than later.
> String theory had a generation of great science communicators writing its books and singing its praises...
I would argue that has done more harm than good. Strong media personalities shouting "the next big breakthrough is here!" followed by 25 years of zero practical results have not done good things for public perception of field of physics. A layperson could be mistaken for assuming the field is literally regressing.
I don't think the distinction between holography and string theory is as clean as you're making it. The vague idea of holography predates string theory, but most of the working examples we have of holography come from string theory. That's what AdS/CFT is: It's an explicitly holographic description of superstring theory in an anti-Desitter space. It's frankly bizarre that the author of this article doesn't mention that fact. I suspect we are seeing a popular science rebranding of string theory without the word strings.
I didn't intend to assert a clean distinction, you're exactly right about its connection to string theory. What I mean is that String Theory Writ Large enjoyed a lot of popular esteem in the 00s and 2010s in public communication as being our potential new framework for what lies beneath the quantum world, but string theory is huge in and of itself.
It's more a difference of emphasis (holography in particular) than something that's outside the scope of string theory.
No string theory (10d) or m theory (11d) map to lower dimensions (eg 4d) via (generalisation of) Kaluza Klein compactification. Vector boson (eg maxwell or Yang mills) are internal degree la of freedom-> 6/7d graviton becomes a photon/ gluon.
There’s holography in string theory: AdS/CFT but this rather maps 4d super Yang mills (on the boundary of AdS5) in an AdS5xS5 background: which is one holography correspondence we know works.
Holography is much more common, but we only really understand it on hyperbolic spaces.
Also since it has a theory at strong coupling on one side we cannot really do calculation on that side and verify it.
Many concepts can be framed as projections onto lower dimensions. It’s the specific ways in which things are projected that makes things string theory. IOW don’t mistake the concept of a map for the territory that one type of map describes.
Ok so imagine we set up two sets of babushca dolls. Each larger one has two smaller ones nested inside. The total mass of the two smaller ones between the two sets is equal in mass and they are configured to have the same centre of gravity. But crucially the individual masses of the inner dolls are different between the two sets. So maybe the innermost one is made of a denser material in set A and the middle one a less dense material and in set B vice versa. And let's also say in each case the dolls are all locked into position relative to the outermost one, so there's no "play" if you move it around to infer a difference from.
From an outside mass/gravity point of view these are similar right? Yet the holographic universe theory seems to say we should be able to differentiate between the two sets of dolls purely based on space-time observations of the surface of the outer doll, despite each system having identical gravitational properties when viewed externally?
But doesn't that suggest a contradiction between this theory and what we have observed about gravity?
Imagine we figure out that we are part of a simulation and that that simulation is nobody's, it just happened and keeps on happening, like the universe just happened and keeps on happening if we keep going back (or is it forth?) in time, and that we can't do anything to change that simulation. Would we lose all the purpose and meaning of life? Or will evolution, now simulated evolution, still manage to collectively pivot us into accepting that as the creation and move on? If we become capable of altering minds enough, this can be a very interesting and cruel experiment on human beings - a meeting of Westworld and MKUltra.
You can prove to me we’re just a video game running on the underpowered Game Boy of an interdimensional teenager, as long as I can make things with my hands, go out in nature, experience beautiful art, and have tasty food with people I care about, there’s no way I would “lose all the purpose and meaning of life”.
If you believe that every effect has a cause, then you might question the notion of “free will” that most people believe in. This means that regardless if it’s “simulation” or not, we can’t “change” anything.
I think the box explanation is misleading. There isn't literally a box whose surface you measure. The idea is that the state of a higher-dimensional gravitational system can, in some cases, be completely described by a theory in one fewer dimension.
Is the "in some cases" constraint really necessary? I thought Bousso's whole point in his talk linked elsewhere in this thread is that you can describe a 3D system in terms of 2D information.
Could you keep going, fully describing systems of higher order in less and less dimensions?
Lets imagine that we are the are the flat landers for a second. We're doing something, the laundry, and we feel an eerie feeling come over us as if we're being watched. No one else in the room, so you shrug it off. Come to find out, our 3D counterparts were actually observing us, unbeknownst to us (aside from that eerie feeling we got). Stay with me! So, while we are on the persons screen or a piece of paper in front of them (this of course assumes 2D existence is possible, just for the example) and they are viewing us, is this at all similar to what this article is talking about? In this scenario, can we label one Ads and one CFT? Another question kind of, but maybe not separate to that, asks if Ads/CFT is a mathematical description of how things project into seemingly completely separate things depending on your perspective? But they're indeed the same. An example of what I mean, so in our 2D existence we notice a pulsing circle, and then in our 3D existence we realize that pulsing circle is actually someone playing with a ball on a string and the pulsing is the ball getting closer to us in more dimensions than can be expressed properly in the 2D view. That's kind of what I mean...so is Ads/CFT description of the same kind of idea as my... admittedly weak example? Lastly, I would like to say that Quanta is fantastic. I don't understand a lot of what is written in their pages sometimes but that's not due to the writing by any stretch. But it makes me think, which is why I still read it anyway! If I'm not mistaken this is the 2nd time in as many days it was featured on the front page, and rightfully so, I think. Anywho, thanks for reading/taking time to respond if you do.
In a sense it's the inverse of what you describe. A 3D creature could easily see everything happening in a 2D space because all the information describing the 2D space fits comfortably in a mere slice of the 3D space. It's trivial because 3D space is "bigger" than 2D space.
What AdS/CFT implies is the opposite: That all the information needed to describe a 3D space can fit in a 2D space, like a hologram. This is astounding and extremely counterintuitive.
The hitch is that our universe is (probably) not AdS; it's dS. And the astounding math doesn't work for the de Sitter space we live in.
Ahh. Okay...So, this is kind of like the 2D entities trying to make sense of their 3D counterparts, and the 3D counterparts getting the sensation of someone watching them, but its the 2D beings discussing the existence of the 3D entities instead of vice versa? I know this is quite a basic comparison but it helps me grasp it a bit better. Also, is there any particular reason that it's 3D and 2D? That is, is there any other dimension number that could accommodate the correspondence? Or does the math say it's only 3D to 2D and vice versa where this works? And do we know why or why not if so? Thanks
> That all the information needed to describe a 3D space can fit in a 2D space, like a hologram.
I'm not totally certain about this but I think you skipped over something important.
It's not that 3D space can be described by 2D space, it's that _our_ "3D" space appears to fit in 2D space because every time the universe puts too much information in the 3D space we get a black hole and a black hole is a 2D surface in 3D space.
I feel like this article spends a lot of time on metaphysical speculation (what is "real"). However what i am left wondering is what exactly would the consequences be if this theory was true (for those of us living in a holographic universe).
I think the point of the person you're responding to is what are the practical consequences for future scientific and technological leaps if this is accurate. Does that make FTL travel possible? Does it predict an outcome for the fate of the universe? etc.
> You can “compress all of the three-dimensional world into two dimensions.”
That sounds a little like the sophons in the novel Three Body Problem. IIRC, aliens took a photon, unfolded it to a flat surface to etch circuitry on, then folded it back up and fired the photon at earth where it unfolded again and did the bidding of the aliens.
> you can decipher the entire contents of the box just by repeatedly measuring points on the surface
So if the box is both inside and outside of a black hole, is that a path for information to leave a black hole?
I immediately thought of the painter analogy (from the books which are astonishingly good) of "painting" 3D objects into 2D objects from the stories, and wondered if the author was exploring the reverse of this "perfect painting" that is still "functional". I'm definitely a lay person, I know enough physics to use a lever to lift heavy things.
I often wonder if our brains are capable of understanding the Universe around us. Our brains were made to help us survive on this planet, not to understand the laws that govern our Universe.
The story that haunts me is the one where scientists attempted to understand how the brain of a simple organism worked. It only had 40 neurons yet they were unable to unravel the mystery on how it functioned.
I think about this sometimes too but I do believe we have at least for a fact described some aspects of the universe (speed of light for example) so we are at least capable of doing that, if not understanding much of the rest too.
When all gravity runs out, and all forces fizzle into the vaccuum, entropy returns to a single maximally ordered state indistinguishable from any other. Identical conditions for a Big Bang.
Consider time itself: one beginning, and many endings. Why many endings? And who even asks the question in the first place? Many intelligent observers, with many endings, but the same beginnings. Perhaps the black holes are a hint to our own ending?
We're born and blink into existence. And then we die and fade into the void, carrying our varied stories with us.
Logically, it doesn't make sense, and we can't possibly know the answer. But what if all those ends wrapped around to the same beginning?
If unitarity and the no-hiding theorem are true and the Big Bag emerged from a point, doesn’t it follow that all the information about the universe was once contained in a dimensionless point?
In recent years, they’ve started to get more creative. Susskind and other teams have made progress [link] on holographic de Sitter models [link] that differ radically from AdS/CFT. Instead of squashing a volume into an area, these universes seem to cram all the dimensions into a lone quantum point.
To me (a total physics layperson with just an interest in it) space and time HAVE to be emergent and not fundamental because of the real phenomena of spooky action at a distance and dual slit craziness. All spacetime surely has to be connected is what it’s telling us.
As far as I understand it,the relative time as we know it, is just something that emerges from the fact that all particle interactions travel with constant light speed.
So if anything moves, the interactions don't change their speed, they stay constant, but the delta to the movement changes, and thus time dilates.
Would be interesting to know if there is some absolute/fundamental global time that has nothing to do with the time we perceive.
Or hear me out here… we as a species have developed measuring methodology that is precise enough at human scale but not actually correct and breaks down at larger scales.
LOL, same. Usually I watch with a great, much deserved attention, but sometimes I need to work on something so I replay videos, and his voice, with such a fantastic cadence and soothing registry, talking about things I deeply enjoy and appreciate, makes work easier and better.
This article seems to repeatedly blur the distinction between 'having space' to encode all the states inside a volume on it's surface and an actual theory of correspondence of states.
"Having space" is just a consequence of black holes. If you have more information in a volume than can be encoded on its surface in theory, you have enough mass inside the volume to make it a black hole and the event horizon then has enough space to encode the information even if the original surface did not.
The correspondence between information, thermodynamics, and mass that causes black holes to 'make it possible' to holographically encode all the information inside is what makes this theory so tempting. What if everything is information, and black holes aren't an expression of 'too much mass', but rather just a result of 'too much information to store'. This theory, if it existed, would demonstrate a key result of both relativity and quantum theory based on a very simple premise, and suggests it might then be possible to base both General Relativity and Quantum Theory on top of a simpler theory.
> That’s a violation of logic and geometry. It asks us to erase the categorical difference between square meters and cubic meters.
No, that's sheer nonsense.
> There is no negative mass, so you can always infer the one real arrangement of stuff inside from the warping of space-time at the surface of your box.
Positive mass does not make this argument work. Two bodies in GR can have different distributions of mass but identical exterior geometry. A counterexample is two spherically symmetric, uncharged bodies with the same total gravitational mass but different radial density profiles. By Birkhoff’s theorem, their exterior vacuum geometries are identical.
If everyone was just taught quantum physics with lattice field theory at the beginning, everyone on earth would understand physics at any level, no clickbait mystic level black hole hologram physics trying to do mental gymnastics. want to study physics harder? Increase resolution add more parameters and bake into some formula for application ...done
Just as acceleration through space causes [the same effect as] gravity, could regular gravity be the movement through TIME?
Could gravity be a facet of time as electricity is to magnetism and vice versa? and the reason we cannot "isolate" gravity is because it's interwoven with time?
But then it would be weird that photos who don't experience time are affected by gravity..
I think I have said it here before that it’s crazy we still don’t know what gravity is, we can tell its behavior but not what it really is. Probably when we figure this out we would create a time machine, because both are also connected.
My nitpick is with something the author said in passing about Hawking.
Yes, around 1970 Hawking and the scientific community at large still used to believe nothing could escape a black hole, and between 1971 and 1973 Hawking along with Penrose and others expanded their evolving understanding and consequences of of Albert Einstein's breakthrough work.
But then Hawking argued back the opposite case, which in simple terms means that some things can, indeed, escape an event horizon. In fact, name dropping Hawking just to mention his views as they stood before his 1973 work, and his 1974 model of Hawking radiation seems dangerously incomplete journalistic reporting.
In 1974 Hawking formulated what we now know as Hawking Radiation, which is the *exact opposite* of what was previously believed about the impossibility of anything coming back from a black hole. Whilst still not conclusively proven as a physical fact, this did win him the Special Fundamental Physics Prize in 2013. specifically for his discovery of Hawking radiation from black holes and his deep contributions to quantum gravity and quantum aspects of the early universe.
Not sure I follow your comment exactly, perhaps I am misunderstanding it but Hawking radiation doesn't involve anything escaping a black hole.
The radiation never originates from within the event horizon. Furthermore the radiation itself does not encode any information about what fell into the black hole apart from the electric charge, angular momentum, and mass (all of which must remain conserved).
It's been ages since I read it and I am 99% sure I'm remember horribly wrong, but I was thinking it's something like this? Also - your "the only information" is precisely what we can measure of quantum states, so information is still preserved. That's more a limit of what we know?
I think that with Hawking radiation you have quantum entanglement of two pairs. You have a matter-antimatter pair production near the horizon. When the antimatter falls into the blackhole without being destroyed via mutual annihilation, the matter particle at the boundary now "radiates" away. HOWEVER.
The matter inside boundary which the anti-matter DOES interact with is destroyed, and the information of that interaction is is "passed" to the outside via the the anti-matter's entanglement with its co-created pair.
Something like that, isn't it? Please any physicists clarify :)
The only caveat that I'd ask about is the death of a black hole after it evaporates away too much mass. If that explosion does occur, is that matter/energy that was from inside the singularity itself?
Indeed All Hawking radiation takes from a black hole is some mass. It's a bit like radiation resulting from annihilation of matter and antimatter: it does not "escape", it "gets born" in the process.
I don't know the slightest about this but... That list looks like it is supposed to be limited but that sounds like infinitely more information than zero?
I find myself not agreeing with a lot of nitpicks, but this is a good one! The article says "Contrary to what Stephen Hawking argued, black holes are not inescapable prisons." But information escaping black holes is named after him! He definitely, in the full scope of his career, was perfectly agreeable to the idea of information escaping black holes.
Hawking found that energy/mass can escape but the information remains destroyed. You can't run a black hole backwards in time and reconstruct the matter that created it and hawking radiation bears no resemblance to anything that was ever beyond the horizon.
Please correct my understanding as I am not a scientist, but why do you assert that Hawking radiation "escapes" or "comes out of" a black hole? Nothing crosses the event horizon. Isn't it more correct to say that Hawking radiation is produced by the extreme warping of the spacetime very near the event horizon, and the black hole shrinks to conserve the energy? Black holes can also shrink as gravitational waves are produced, but we don't say that the waves "escape" the black hole.
Strangely, it is _not_ the instrinsic curvature of spacetime that produces Hawking radiation. There's a variation on Hawking radiation -- called Unruh radiation -- experienced by accelerated observers in flat spacetime. Any two observers will agree on the value of a field (e.g. the electric field) at a point, but an accelerated observer will experience empty spacetime as a _thermal bath of particles_, with a temperature proportional to the acceleration. Relatively accelerated observers don't agree on what the vacuum is.
My understanding is that Hawking radiation is where:
1. a particle/anti-particle pair is created at the event horizon;
2. the particle is on the outside edge of the event horizon, so "escapes" the black hole;
3. the anti-particle is on the inside edge of the horizon, so decreases the size of the black hole due to particle/anti-particle annihilation (with a corresponding particle on the inside of the black hole).
You’re missing a big issue here… Hawking Radiation doesn’t escape from within the event horizon, and there’s no physical process preventing that. It’s radiation from the surface of the black hole, not the interior.
When I read "But holography really starts to bite only after..." my LLM-dar goes off. Everything I read up to that point was comprehensible, but man, I have developed a shudder reaction to any language suggesting AI was involved ibn its creation.
I find AI written stuff to be hard to read. Part of my career is being a writer and I take great pride in my outout. AI written materials is a slog because you can see how it's pumping out words to hit various metrics rather than what's needed for the task.
> Holography implies that you can do that — reconstruct every fold, vessel, and neuron in three dimensions — without actually looking inside. Simply photographing the surface of the brain somehow suffices.
Gah I am not a fan of pop-sci simplifications like this for the sake of a soundbite. The author goes onto explain how no, a picture is not enough, you need to actually measure the distortion of spacetime at the surface. Somebody is going to walk away thinking this stuff is possible, that maybe psychics really can detect something wrong with them.
> Consider a video game sun passing behind a video game tree. The sun pixels touch the tree pixels directly, yet the tree does not burst into flames. This is because the sun pixels are independent of the tree pixels.
With apologies to Babbage, I am not able rightly to apprehend the kind of confusion of ideas that could provoke such an explanation.
lol yikes. Some of the other illustrations quoted seemed OK esp if you already have a layman's understanding of the major concepts... but this just seems.... bad.
I know what you mean and I think you're right, but I take it as the cost of doing business when trying to turn frontier physics into layperson analogies. You're not going to use an analogy to successfully complete a calculation of black hole entropy, you're going to use it to convey the high level intuition that "stuff on inside = stuff on boundary".
Because if we litigate the imperfections of analogies all day long, then you're going to react to videos titled "black holes described at five levels of difficulty" by saying the first four levels were all wrong, which may in a sense be technically true but not in the spirit of the exercise.
It's okay as long as they call it out, but the author doesn't and instead states it like a fact. They could have easily caveated it with "but a magical camera that can see magnetic and gravitational fields" or something. The analogy is fine, but it's not presented as one, so it's not clear how far the analogy actually goes. So the takeaway is "wow technically it's possible!"
Like matter verses anti-matter? If so I think this has actually been considered by physicists hence we tested to ensure that anti-matter responds to gravity in the same way as matter.
If anit-matter had shown anti-gravity effects then gravity may have been just some imbalance of forces in the universe, but it doesn't appear to be that way.
All possible subsets of a Universal Set can be considered as Observers. So a Power Set is collection of observers. Power Set of Power Set is another such collection. So on and so forth. Powersets all the way up.
This doesn't make sense. Which consciousness is absolute? Yours or mine? Because I can't see your consciousness; I can only infer its existence. You can't see my consciousness; you can only infer its existence.
> With gravity, mass plays the role of charge. It bends space-time around it, and it is always positive. There is no negative mass, so you can always infer the one real arrangement of stuff inside from the warping of space-time at the surface of your box.
This is a simplification to the point of just being wrong. Gauss’s law works for gravity; if you put a shell around Earth you have no way of knowing whether it’s a planet or an Earth-mass black hole inside. Assuming spherical symmetry of density, anyway.
> This is a simplification to the point of just being wrong.
Is it? If you project a "3D" singularity onto a surface, it's still a point. If you project a roughly spherical object, it's roughly circular.
Gauss' law in this case would apply to the total force of gravity exerted by the mass within the shell, not its distribution across the surface of the shell.
I assumed the analogy meant that just by measuring the gravitational field outside the shell, you could figure out the mass distribution inside. And you can't, not in the general case.
Susskind's original paper is shockingly readable, at least the first section. It doesn't use a lot of fancy math or derivations to justify holography. Mostly it uses basic concepts from undergraduate physics to show how the idea of holography is consistent and makes sense, despite it seeming incredibly counterintuitive at first glance.
For instance, figure 3 shows how you can't hide a black hole behind another black hole, which has implications for how a 3D universe can be completely encoded in a 2D region.
https://arxiv.org/html/hep-th/9409089v2
I recommend when sharing arxiv links to link to the abstract. That way your reader can decide for themselves whether they want to bother with either a PDF or HTML version, especially since the HTML views are still experimental and have occasional display issues across devices.
Link to the abstract of that paper: https://arxiv.org/abs/hep-th/9409089v2
Thanks for sharing!
Fortunately, it's very simple to navigate between pdf, html, and abstract, just put "abs" in the URL where it says pdf and so on.
What shape is space? Like, how far does space extend "above" and "below" where the Earth hangs in space? What stuff is there in both areas?
My concept of space is informed by the hammock analogy where gravity is the result of the bodies' mass/density causing the fabric to sag and draw in approaching objectz
Much of Susskind's papers are like that. A few simple equations motivated by dimensional analysis, a couple of Penrose diagrams, and the rest speculation and insight.
Thank you. This is far easier to understand than the OP.
"The World as a Hologram" (1994) https://arxiv.org/html/hep-th/9409089v2 .. citations: https://scholar.google.com/scholar?cites=1288333106183032878...
But can there be holograms within the outer hologram?
Pause for a moment to reflect on how outrageous this assertion is. You can’t see into the box at all. Nevertheless, holography says that you can learn exactly what’s happening everywhere in the box without any access to the interior. Observing the surface alone is enough. In this sense, the amount of stuff that fills a box is the same as the amount of paint that covers it. That’s a violation of logic and geometry.
The breathless tone of this article obscures rather than illuminates its subject. It sounds as if the author describes a box with some particles bouncing around inside, and every time a particle bounces off the wall of the box the outside glows briefly indicating the location and intensity of the collision. The author is amazed that by repeatedly measuring this, you can draw inferences about what's going on in the box.
I can't see what's 'outrageous' about this. You need a lower surface which registers information about activity inside a higher-dimensional volume, some way to accurately read that information, and the time/patience to repeat the measurement many times. Isn't this how radar works, or feeling your way around a pitch-dark room using only the 2-dimensional surface of your hands (or shins)? We know from computer science that you can mathematically encode any structure of arbitrary dimension into a binary tree. One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror, film strip, or camera sensor.
Indeed. A "violation of logic and geometry"? Reading the author's own description, it's hard to see what the big deal is:
"Put a box around any region of space (space-time, really, but I’m going to drop time throughout this essay for ease of visualization, as physicists often do). The holographic principle asserts that no matter what’s going on inside — from gas molecules pinging around to black holes colliding — you can decipher the entire contents of the box just by repeatedly measuring points on the surface."
Well, if we're bounding a region of space-time then, in a purely classical universe governed by deterministic ODEs or PDEs, the statement reduces to a triviality: having information about the boundary amounts to knowing all boundary conditions. Of course I understand that this isn't really the statement of the holographic principle, but the article's formulation is rather underwhelming.
It’s not just drawing inferences, though; it’s saying you can determine exactly what’s happening in the box. But the pigeonhole principle would suggest there’s far more possible states in the 3-dimension volume than can be unique expressed on the 2-dimensional surface. That’s the part that defies common sense.
A 3d volume can contain a number of states equal to it's 2d dimensional surface.
All the extra states you would assume the 3d volume can contain are actually a single state called Black Hole.
There is a limit to how much you can fill a 3d volume before it's a Black Hole basically.
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2d observed over time is also 3d. 3d over time would be 4d.
You still have less information than if you could observe the full 3d spatial volume over time, because presumably you won't know in perfect detail qnd precision what all the particles are doing internally?
Or does it not work like this?
Is it any weirder than the fact that there is a bijection between the unit interval and the unit square?
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I'm not sure if I agree, but you certainly articulated it far more clearly than the original writer.
> That’s the part that defies common sense.
Does it? Isn't this basically the same as how cellular companies can figure out exactly where someone is calling from as long as their phone is pinging 3+ towers? Just connect the towers into a box and you have the same result.
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If the events inside the box can’t influence events outside the box directly, only by changing the surface of the box, it’s fair to say they don’t happen at all, and all that happens is the change of the surface.
If you're willing to use continuous dimensions, the surface is the same size as the volume; I don't see why the pigeonhole principle would present any problems.
Interestingly enough, I believe there is a result that space-filling curves cannot be one-to-one, but the implication there is just that, by virtue of the continuity of the one-dimensional curve, it contains more points than the two-dimensional space that it fills.
I remember thinking space filling curves were completely magical when I first learned about them. It feels like there should be some connection with holography although they don't get mentioned in the article.
I feel the most interesting implication of the enclosing surface being a complete description of the enclosed volume and its contents implies the contents don’t need to exist. If you think physics as the set of rules that applied to one full state of reality can completely give it’s next state, then having redundant representations is wasteful and the interior of the enclosed volume, as the interior of the black hole, might not need to exist, or to be represented at all. If you extend this to the full spacetime we inhabit, it all would be the encoded in its boundary and, therefore, only the boundary is needed.
> One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror
You could ask, but that isn't possible, so the question is of dubious value. There are many states of the 3-dimensional world that will produce identical images in the surface of a mirror.
The metaphor as written is maybe bad, but the holographic idea really is outrageous and mindboggling. Because according to it the inside might as well be completely empty.
> Isn't this how radar works, or feeling your way around a pitch-dark room using only the 2-dimensional surface of your hands (or shins)?
> One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror, film strip, or camera sensor.
No this is different. You can't classically encode an arbitrary 3D world on a camera sensor without losing information. It can only create a 2D projection of surfaces. It can't look inside opaque objects. Countless distinct 3D objects could correspond to one an the same 2D projection. There are actually many examples of optical illusions which show that a 2D image can be ambiguous with regards the 3D space it represents.
>"One might as well ask how it's possible that our complex 3 dimensional world can be contained in the flat surface of a mirror, film strip, or camera sensor."
Space filling curves with three dimensions could potentially provide us with some clues:
https://en.wikipedia.org/wiki/Z-order_curve
"In mathematical analysis and computer science, functions which are Z-order, Lebesgue curve, Morton space-filling curve,[1] Morton order or Morton code map multidimensional data to one dimension while preserving locality of the data points (two points close together in multidimensions with high probability lie also close together in Morton order)."
Also, to answer the question, potentially Octrees might be interesting to research:
https://mathworld.wolfram.com/Octree.html
"An octree is a rooted tree that represents a three-dimensional region by recursively subdividing it into eight congruent, axis-aligned cuboids, usually cubes (Meagher 1982, Samet 1990). Each internal node represents a spatial cell and has eight children, one for each octant of the cell. A tree leaf represents a cell that is not subdivided further."
But, since "a picture is worth one thousand words":
https://www.google.com/search?q=octree&udm=2
Another thing to consider is that according to the Knuth Transform (aka Left-Child Right-Sibling (LCRS) representation), apparently any k-ary tree (Octree = 8-ary tree) can apparently be converted into a Binary Tree without losing information:
https://en.wikipedia.org/wiki/Left-child_right-sibling_binar...
So, is there a 1D (or 2D) representation for 3D reality?
Well, I personally don't know!
What I do know is that a certain popular rock group sang the following lyric in one of their popular rock songs, back in 1999:
"Space may be the final frontier -- but it's made in a Hollywood basement..."
-The Red Hot Chili Peppers, "Californication"
So, you decide! :-)
Mathematician, not physicist, but it seems reasonable to me that you could encode a sufficiently constrained 3D space on a 2D boundary. And if you have such an encoding, it also doesn't seem insane that some things might be more easily modeled on the 2D boundary than the 3D space.
If you can convert back and forth between a 2D representation and a 3D representation, and different phenomena are more easily modeled in each, does it matter which is "real"? Unless of course you can come up with a specific prediction and experiment to test it.
Yeah, there's a great talk about the physics of the holographic information encoded on the surface by Raphael Bousso (if you have an hour):
https://www.youtube.com/watch?v=GHgi6E1ECgo
HIGHLY recommend it for lay folks interested in this stuff. Which reminds me, I should yt-dl this so it's not lost, and I have a copy...
This is a great video, thanks for sharing.
My favorite quote and a point where something really clicked was when he said "If you tried smaller you would instead be making a Planck-size black hole".
what app do you use for yt-dl?
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In 240p only? :-(
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Is the physical nonlocality of the relationship between the bulk and boundary somehow related to the noncontinuity of any bijection between manifolds of different dimension?
> Mathematician, not physicist, but it seems reasonable to me that you could encode a sufficiently constrained 3D space on a 2D boundary. And if you have such an encoding, it also doesn't seem insane that some things might be more easily modeled on the 2D boundary than the 3D space.
Yes, you are missing the point entirely. Merely saying "you could encode a sufficiently constrained 3D space on a 2D boundary" as you correctly noticed, would be meaningless.
The observation is that the 3D space has properties that are weird in 3D but natural in its 2D representation.
> does it matter which is "real"?
No.
Also if you have different representations of something and your job/goal is to think and gain instinct then you should keep in mind all the representations, they very likely will be useful. (An observed property of mathematics is that if a mathematician pours 40 hours per week of work in an area for years in a topic other mathematicians haven't exhausted yet, she will find something there.)
It's Cauchy problem.
As a non expert who's just curious about science but also tries to talk like a normal person, from what I can tell holography really seems like it's now the leading candidate to be the next big conceptual revolution in physics.
There's not necessarily any breakthrough right around the corner and we shouldn't rush to coronation preemptively, but there's a lot of physics "voting with their feet" for holography as the article says, and I think it's officially time to start getting hyped. It could have sanity-restoring answers to questions of quantum weirdness, albeit at the rather expensive cost of giving up even more on our day to day intuitions about space and time in favor of an apparently informational substrate.
String theory had a generation of great science communicators writing its books and singing its praises, but holography doesn't yet have equivalent public champions, and I hope that's something that changes sooner than later.
> String theory had a generation of great science communicators writing its books and singing its praises...
I would argue that has done more harm than good. Strong media personalities shouting "the next big breakthrough is here!" followed by 25 years of zero practical results have not done good things for public perception of field of physics. A layperson could be mistaken for assuming the field is literally regressing.
> could be mistaken
Could be forgiven?
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I don't think the distinction between holography and string theory is as clean as you're making it. The vague idea of holography predates string theory, but most of the working examples we have of holography come from string theory. That's what AdS/CFT is: It's an explicitly holographic description of superstring theory in an anti-Desitter space. It's frankly bizarre that the author of this article doesn't mention that fact. I suspect we are seeing a popular science rebranding of string theory without the word strings.
I didn't intend to assert a clean distinction, you're exactly right about its connection to string theory. What I mean is that String Theory Writ Large enjoyed a lot of popular esteem in the 00s and 2010s in public communication as being our potential new framework for what lies beneath the quantum world, but string theory is huge in and of itself.
It's more a difference of emphasis (holography in particular) than something that's outside the scope of string theory.
I can't tell if you're aware that the holographic principle came from string theory
I can't tell if you're aware that they're not synonyms.
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isn't holographic universe a similar concept to string theory in that they both propose higher dimensions projecting into lower dimensions
string theory, 11 dimensions, is bonkers though, it's what happens when people are too smart for their own good imho lol
No string theory (10d) or m theory (11d) map to lower dimensions (eg 4d) via (generalisation of) Kaluza Klein compactification. Vector boson (eg maxwell or Yang mills) are internal degree la of freedom-> 6/7d graviton becomes a photon/ gluon.
There’s holography in string theory: AdS/CFT but this rather maps 4d super Yang mills (on the boundary of AdS5) in an AdS5xS5 background: which is one holography correspondence we know works.
Holography is much more common, but we only really understand it on hyperbolic spaces.
Also since it has a theory at strong coupling on one side we cannot really do calculation on that side and verify it.
You can use it tho to make calculations.
Many concepts can be framed as projections onto lower dimensions. It’s the specific ways in which things are projected that makes things string theory. IOW don’t mistake the concept of a map for the territory that one type of map describes.
Eh, 11 dimensions is just what the math predicts based on the theory’s postulate and observations of the universe.
Holographic gravity is no less fanciful if there’s no practical experiment to prove it.
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Ok so imagine we set up two sets of babushca dolls. Each larger one has two smaller ones nested inside. The total mass of the two smaller ones between the two sets is equal in mass and they are configured to have the same centre of gravity. But crucially the individual masses of the inner dolls are different between the two sets. So maybe the innermost one is made of a denser material in set A and the middle one a less dense material and in set B vice versa. And let's also say in each case the dolls are all locked into position relative to the outermost one, so there's no "play" if you move it around to infer a difference from.
From an outside mass/gravity point of view these are similar right? Yet the holographic universe theory seems to say we should be able to differentiate between the two sets of dolls purely based on space-time observations of the surface of the outer doll, despite each system having identical gravitational properties when viewed externally?
But doesn't that suggest a contradiction between this theory and what we have observed about gravity?
Matryoshka doll. Babushka = grandmother.
What if the dolls are all grandmas?
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There seems to be a grand motivation to fit a holographic model onto how the universe seems to behave.
I recall a popular claim several years ago that we all lived in a hologram (whatever happened to that?).
I bet this has nothing to do with string theorists trying to make their 2D models apply to actual physical observations…
Imagine we figure out that we are part of a simulation and that that simulation is nobody's, it just happened and keeps on happening, like the universe just happened and keeps on happening if we keep going back (or is it forth?) in time, and that we can't do anything to change that simulation. Would we lose all the purpose and meaning of life? Or will evolution, now simulated evolution, still manage to collectively pivot us into accepting that as the creation and move on? If we become capable of altering minds enough, this can be a very interesting and cruel experiment on human beings - a meeting of Westworld and MKUltra.
You can prove to me we’re just a video game running on the underpowered Game Boy of an interdimensional teenager, as long as I can make things with my hands, go out in nature, experience beautiful art, and have tasty food with people I care about, there’s no way I would “lose all the purpose and meaning of life”.
Same but we should both admit we would probably change what we made.
If you believe that every effect has a cause, then you might question the notion of “free will” that most people believe in. This means that regardless if it’s “simulation” or not, we can’t “change” anything.
Hmm, but isn't a statement that _every_ effect has a cause self-refuting?
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What does the word “simulation” mean in this context?
Purpose is found individually through daily lived experiences and not because we are or aren’t in a simulation
I think the box explanation is misleading. There isn't literally a box whose surface you measure. The idea is that the state of a higher-dimensional gravitational system can, in some cases, be completely described by a theory in one fewer dimension.
Is the "in some cases" constraint really necessary? I thought Bousso's whole point in his talk linked elsewhere in this thread is that you can describe a 3D system in terms of 2D information.
Could you keep going, fully describing systems of higher order in less and less dimensions?
So like describing the properties of a sphere by using a circle.
Not a circle but the surface of the sphere
For black holes it is quite literal tho.
This is cool, but I've noticed that an idea of a "holographic universe" makes the news roughly once a decade.
Maybe fifth time's the charm. ;-)
Only time tells!
Fascinating article... reminds me once again why I went into EE/CS instead of physics, I just wasn't smart enough :-(
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Lets imagine that we are the are the flat landers for a second. We're doing something, the laundry, and we feel an eerie feeling come over us as if we're being watched. No one else in the room, so you shrug it off. Come to find out, our 3D counterparts were actually observing us, unbeknownst to us (aside from that eerie feeling we got). Stay with me! So, while we are on the persons screen or a piece of paper in front of them (this of course assumes 2D existence is possible, just for the example) and they are viewing us, is this at all similar to what this article is talking about? In this scenario, can we label one Ads and one CFT? Another question kind of, but maybe not separate to that, asks if Ads/CFT is a mathematical description of how things project into seemingly completely separate things depending on your perspective? But they're indeed the same. An example of what I mean, so in our 2D existence we notice a pulsing circle, and then in our 3D existence we realize that pulsing circle is actually someone playing with a ball on a string and the pulsing is the ball getting closer to us in more dimensions than can be expressed properly in the 2D view. That's kind of what I mean...so is Ads/CFT description of the same kind of idea as my... admittedly weak example? Lastly, I would like to say that Quanta is fantastic. I don't understand a lot of what is written in their pages sometimes but that's not due to the writing by any stretch. But it makes me think, which is why I still read it anyway! If I'm not mistaken this is the 2nd time in as many days it was featured on the front page, and rightfully so, I think. Anywho, thanks for reading/taking time to respond if you do.
In a sense it's the inverse of what you describe. A 3D creature could easily see everything happening in a 2D space because all the information describing the 2D space fits comfortably in a mere slice of the 3D space. It's trivial because 3D space is "bigger" than 2D space.
What AdS/CFT implies is the opposite: That all the information needed to describe a 3D space can fit in a 2D space, like a hologram. This is astounding and extremely counterintuitive.
The hitch is that our universe is (probably) not AdS; it's dS. And the astounding math doesn't work for the de Sitter space we live in.
Ahh. Okay...So, this is kind of like the 2D entities trying to make sense of their 3D counterparts, and the 3D counterparts getting the sensation of someone watching them, but its the 2D beings discussing the existence of the 3D entities instead of vice versa? I know this is quite a basic comparison but it helps me grasp it a bit better. Also, is there any particular reason that it's 3D and 2D? That is, is there any other dimension number that could accommodate the correspondence? Or does the math say it's only 3D to 2D and vice versa where this works? And do we know why or why not if so? Thanks
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> That all the information needed to describe a 3D space can fit in a 2D space, like a hologram.
I'm not totally certain about this but I think you skipped over something important.
It's not that 3D space can be described by 2D space, it's that _our_ "3D" space appears to fit in 2D space because every time the universe puts too much information in the 3D space we get a black hole and a black hole is a 2D surface in 3D space.
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I feel like this article spends a lot of time on metaphysical speculation (what is "real"). However what i am left wondering is what exactly would the consequences be if this theory was true (for those of us living in a holographic universe).
Given that it’s always been true if true, then the implications are that things are as they’ve always been.
I think the point of the person you're responding to is what are the practical consequences for future scientific and technological leaps if this is accurate. Does that make FTL travel possible? Does it predict an outcome for the fate of the universe? etc.
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> You can “compress all of the three-dimensional world into two dimensions.”
That sounds a little like the sophons in the novel Three Body Problem. IIRC, aliens took a photon, unfolded it to a flat surface to etch circuitry on, then folded it back up and fired the photon at earth where it unfolded again and did the bidding of the aliens.
> you can decipher the entire contents of the box just by repeatedly measuring points on the surface
So if the box is both inside and outside of a black hole, is that a path for information to leave a black hole?
I immediately thought of the painter analogy (from the books which are astonishingly good) of "painting" 3D objects into 2D objects from the stories, and wondered if the author was exploring the reverse of this "perfect painting" that is still "functional". I'm definitely a lay person, I know enough physics to use a lever to lift heavy things.
I think by definition if part of you is in a black hole, the bits inside it can't affect (or communicate information to) your bits that are outside.
Different topic, but the sophon idea in TBP revealed the author's complete ignorance of basic particle physics.
…it’s Science Fiction
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I often wonder if our brains are capable of understanding the Universe around us. Our brains were made to help us survive on this planet, not to understand the laws that govern our Universe.
The story that haunts me is the one where scientists attempted to understand how the brain of a simple organism worked. It only had 40 neurons yet they were unable to unravel the mystery on how it functioned.
I think about this sometimes too but I do believe we have at least for a fact described some aspects of the universe (speed of light for example) so we are at least capable of doing that, if not understanding much of the rest too.
When all gravity runs out, and all forces fizzle into the vaccuum, entropy returns to a single maximally ordered state indistinguishable from any other. Identical conditions for a Big Bang.
Consider time itself: one beginning, and many endings. Why many endings? And who even asks the question in the first place? Many intelligent observers, with many endings, but the same beginnings. Perhaps the black holes are a hint to our own ending?
We're born and blink into existence. And then we die and fade into the void, carrying our varied stories with us.
Logically, it doesn't make sense, and we can't possibly know the answer. But what if all those ends wrapped around to the same beginning?
Would you look at the world differently?
> When all gravity runs out
what does this mean?
A theory is: blackholes give off Hawking radiation at the end of their lives.
I'm of course, oversimplifying things for a fun thought experiment. Everyone wonders about reincarnation, death, and the 'end of time'.
Just a thought experiment that's not grounded in anything. We all believe what we want and act accordingly.
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If 3D space can be packed into a 2D hologram, then, can that 2D data be packed into a 1D hologram and so on?
If you read the article, one of the analogy points to this. Compressing everything to a point.
But I had the same question few months back. Asking Claude is fruitful in this case.
If unitarity and the no-hiding theorem are true and the Big Bag emerged from a point, doesn’t it follow that all the information about the universe was once contained in a dimensionless point?
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1D = unus Deus
The article touches on that:
In recent years, they’ve started to get more creative. Susskind and other teams have made progress [link] on holographic de Sitter models [link] that differ radically from AdS/CFT. Instead of squashing a volume into an area, these universes seem to cram all the dimensions into a lone quantum point.
That was so well written, a lovely read. So refreshing to be brought along on the authors journey into thought.
Somehow I’m expecting to see Bousso’s work here. Eg
https://en.wikipedia.org/wiki/Bousso%27s_holographic_bound
To me (a total physics layperson with just an interest in it) space and time HAVE to be emergent and not fundamental because of the real phenomena of spooky action at a distance and dual slit craziness. All spacetime surely has to be connected is what it’s telling us.
"Spooky action at a distance" only happens in some interpretations of quantum mechanics, and not, for example, in MWI.
As far as I understand it,the relative time as we know it, is just something that emerges from the fact that all particle interactions travel with constant light speed.
So if anything moves, the interactions don't change their speed, they stay constant, but the delta to the movement changes, and thus time dilates.
Would be interesting to know if there is some absolute/fundamental global time that has nothing to do with the time we perceive.
Or hear me out here… we as a species have developed measuring methodology that is precise enough at human scale but not actually correct and breaks down at larger scales.
This seems to resonate with the idea of the universe existing on the skin of an expanding hypersphere. Is there anything in that link?
I don't think the author has relevant scientific background and it's frustrating this wasn't written by one of the Quanta journalists who does.
Going with the video game analogy, would the characters made out of pixels ever have a way to perceive the console and TV that created them?
PBS Space Time, could watch it all day, sometimes listen in the background all day
* https://www.youtube.com/watch?v=DoCYY9sa2kU
* https://www.youtube.com/watch?v=klpDHn8viX8
* https://www.youtube.com/watch?v=qYSKEbd956M
* https://www.youtube.com/watch?v=YNEBhwimJWs
LOL, same. Usually I watch with a great, much deserved attention, but sometimes I need to work on something so I replay videos, and his voice, with such a fantastic cadence and soothing registry, talking about things I deeply enjoy and appreciate, makes work easier and better.
Ctrl+F Maldacena... 0 matches. Oh wow!
> “You can ‘compress all of the three-dimensional world into two dimensions.’”
Would this imply that time is the third dimension?
Wouldn't time be one of the two resulting dimensions - the other being space?
Amplituhedron geometry simplifies scattering amplitude calculations.
N-body gravity derived from QED with scattering amplitudes (without spacetime curvature, in a Flat Minkowski space)
[...]
From this chat: https://share.google/aimode/O0pKsl6nYdv8Nh2fD :
> The "shear-jamming" of Fedi’s fluid space is the physical, hydrodynamical translation of hitting a geometric boundary facet of the amplituhedron
And, normed tensor gaussian splatters work well as a simulation primitive for this too because they do conservation.
Aside: Quanta magazine always has excellent design & visuals.
This article seems to repeatedly blur the distinction between 'having space' to encode all the states inside a volume on it's surface and an actual theory of correspondence of states.
"Having space" is just a consequence of black holes. If you have more information in a volume than can be encoded on its surface in theory, you have enough mass inside the volume to make it a black hole and the event horizon then has enough space to encode the information even if the original surface did not.
The correspondence between information, thermodynamics, and mass that causes black holes to 'make it possible' to holographically encode all the information inside is what makes this theory so tempting. What if everything is information, and black holes aren't an expression of 'too much mass', but rather just a result of 'too much information to store'. This theory, if it existed, would demonstrate a key result of both relativity and quantum theory based on a very simple premise, and suggests it might then be possible to base both General Relativity and Quantum Theory on top of a simpler theory.
> That’s a violation of logic and geometry. It asks us to erase the categorical difference between square meters and cubic meters.
No, that's sheer nonsense.
> There is no negative mass, so you can always infer the one real arrangement of stuff inside from the warping of space-time at the surface of your box.
Positive mass does not make this argument work. Two bodies in GR can have different distributions of mass but identical exterior geometry. A counterexample is two spherically symmetric, uncharged bodies with the same total gravitational mass but different radial density profiles. By Birkhoff’s theorem, their exterior vacuum geometries are identical.
Isn't this the same as Newton's shell theorem?
Yep! Although it's different due to lack of superposition, I think it happens to work out for spherical shells.
If everyone was just taught quantum physics with lattice field theory at the beginning, everyone on earth would understand physics at any level, no clickbait mystic level black hole hologram physics trying to do mental gymnastics. want to study physics harder? Increase resolution add more parameters and bake into some formula for application ...done
<Layperson>
Just as acceleration through space causes [the same effect as] gravity, could regular gravity be the movement through TIME?
Could gravity be a facet of time as electricity is to magnetism and vice versa? and the reason we cannot "isolate" gravity is because it's interwoven with time?
But then it would be weird that photos who don't experience time are affected by gravity..
Or maybe space, time and gravity are a trinity?
(no I'm not high, but maybe I should be)
is this why i increase in mass and volume every year?
Do you also attract more things?
Where did you get a photo that isn't effected by gravity?
Does that scale? Does a photo of a photo have antigravity.
fuck lol photon
I think I have said it here before that it’s crazy we still don’t know what gravity is, we can tell its behavior but not what it really is. Probably when we figure this out we would create a time machine, because both are also connected.
My nitpick is with something the author said in passing about Hawking. Yes, around 1970 Hawking and the scientific community at large still used to believe nothing could escape a black hole, and between 1971 and 1973 Hawking along with Penrose and others expanded their evolving understanding and consequences of of Albert Einstein's breakthrough work.
But then Hawking argued back the opposite case, which in simple terms means that some things can, indeed, escape an event horizon. In fact, name dropping Hawking just to mention his views as they stood before his 1973 work, and his 1974 model of Hawking radiation seems dangerously incomplete journalistic reporting.
In 1974 Hawking formulated what we now know as Hawking Radiation, which is the *exact opposite* of what was previously believed about the impossibility of anything coming back from a black hole. Whilst still not conclusively proven as a physical fact, this did win him the Special Fundamental Physics Prize in 2013. specifically for his discovery of Hawking radiation from black holes and his deep contributions to quantum gravity and quantum aspects of the early universe.
Not sure I follow your comment exactly, perhaps I am misunderstanding it but Hawking radiation doesn't involve anything escaping a black hole.
The radiation never originates from within the event horizon. Furthermore the radiation itself does not encode any information about what fell into the black hole apart from the electric charge, angular momentum, and mass (all of which must remain conserved).
It's been ages since I read it and I am 99% sure I'm remember horribly wrong, but I was thinking it's something like this? Also - your "the only information" is precisely what we can measure of quantum states, so information is still preserved. That's more a limit of what we know?
I think that with Hawking radiation you have quantum entanglement of two pairs. You have a matter-antimatter pair production near the horizon. When the antimatter falls into the blackhole without being destroyed via mutual annihilation, the matter particle at the boundary now "radiates" away. HOWEVER.
The matter inside boundary which the anti-matter DOES interact with is destroyed, and the information of that interaction is is "passed" to the outside via the the anti-matter's entanglement with its co-created pair.
Something like that, isn't it? Please any physicists clarify :)
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The only caveat that I'd ask about is the death of a black hole after it evaporates away too much mass. If that explosion does occur, is that matter/energy that was from inside the singularity itself?
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Indeed All Hawking radiation takes from a black hole is some mass. It's a bit like radiation resulting from annihilation of matter and antimatter: it does not "escape", it "gets born" in the process.
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I don't know the slightest about this but... That list looks like it is supposed to be limited but that sounds like infinitely more information than zero?
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The entire blackhole will eventually evaporate, so yes it is literally escaping from the black hole.
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I find myself not agreeing with a lot of nitpicks, but this is a good one! The article says "Contrary to what Stephen Hawking argued, black holes are not inescapable prisons." But information escaping black holes is named after him! He definitely, in the full scope of his career, was perfectly agreeable to the idea of information escaping black holes.
Those claims are backwards.
Hawking found that energy/mass can escape but the information remains destroyed. You can't run a black hole backwards in time and reconstruct the matter that created it and hawking radiation bears no resemblance to anything that was ever beyond the horizon.
Please correct my understanding as I am not a scientist, but why do you assert that Hawking radiation "escapes" or "comes out of" a black hole? Nothing crosses the event horizon. Isn't it more correct to say that Hawking radiation is produced by the extreme warping of the spacetime very near the event horizon, and the black hole shrinks to conserve the energy? Black holes can also shrink as gravitational waves are produced, but we don't say that the waves "escape" the black hole.
Strangely, it is _not_ the instrinsic curvature of spacetime that produces Hawking radiation. There's a variation on Hawking radiation -- called Unruh radiation -- experienced by accelerated observers in flat spacetime. Any two observers will agree on the value of a field (e.g. the electric field) at a point, but an accelerated observer will experience empty spacetime as a _thermal bath of particles_, with a temperature proportional to the acceleration. Relatively accelerated observers don't agree on what the vacuum is.
My understanding is that Hawking radiation is where:
1. a particle/anti-particle pair is created at the event horizon;
2. the particle is on the outside edge of the event horizon, so "escapes" the black hole;
3. the anti-particle is on the inside edge of the horizon, so decreases the size of the black hole due to particle/anti-particle annihilation (with a corresponding particle on the inside of the black hole).
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You’re missing a big issue here… Hawking Radiation doesn’t escape from within the event horizon, and there’s no physical process preventing that. It’s radiation from the surface of the black hole, not the interior.
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When I read "But holography really starts to bite only after..." my LLM-dar goes off. Everything I read up to that point was comprehensible, but man, I have developed a shudder reaction to any language suggesting AI was involved ibn its creation.
I find AI written stuff to be hard to read. Part of my career is being a writer and I take great pride in my outout. AI written materials is a slog because you can see how it's pumping out words to hit various metrics rather than what's needed for the task.
> Holography implies that you can do that — reconstruct every fold, vessel, and neuron in three dimensions — without actually looking inside. Simply photographing the surface of the brain somehow suffices.
Gah I am not a fan of pop-sci simplifications like this for the sake of a soundbite. The author goes onto explain how no, a picture is not enough, you need to actually measure the distortion of spacetime at the surface. Somebody is going to walk away thinking this stuff is possible, that maybe psychics really can detect something wrong with them.
This was the low point for me:
> Consider a video game sun passing behind a video game tree. The sun pixels touch the tree pixels directly, yet the tree does not burst into flames. This is because the sun pixels are independent of the tree pixels.
With apologies to Babbage, I am not able rightly to apprehend the kind of confusion of ideas that could provoke such an explanation.
lol yikes. Some of the other illustrations quoted seemed OK esp if you already have a layman's understanding of the major concepts... but this just seems.... bad.
I know what you mean and I think you're right, but I take it as the cost of doing business when trying to turn frontier physics into layperson analogies. You're not going to use an analogy to successfully complete a calculation of black hole entropy, you're going to use it to convey the high level intuition that "stuff on inside = stuff on boundary".
Because if we litigate the imperfections of analogies all day long, then you're going to react to videos titled "black holes described at five levels of difficulty" by saying the first four levels were all wrong, which may in a sense be technically true but not in the spirit of the exercise.
It's okay as long as they call it out, but the author doesn't and instead states it like a fact. They could have easily caveated it with "but a magical camera that can see magnetic and gravitational fields" or something. The analogy is fine, but it's not presented as one, so it's not clear how far the analogy actually goes. So the takeaway is "wow technically it's possible!"
It is Quanta, the home of sensationalist oversimplifcations. What did you expect, solid science?
Yes, the rest of the article is pretty good.
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This is an interesting theory, but I think it has less explanatory power than the Sugon framework for gravity.
This is not a theory.
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What if you half spin the other direction?
Like matter verses anti-matter? If so I think this has actually been considered by physicists hence we tested to ensure that anti-matter responds to gravity in the same way as matter.
If anit-matter had shown anti-gravity effects then gravity may have been just some imbalance of forces in the universe, but it doesn't appear to be that way.
Why would it matter?
A torsion to the right, a torsion to the left mate in circular momentum.
Sounds like complementary spins.
> Sub-atomic particles may then be discrete spin lock configurations and not distinct in any other way.
Using a spin lock is wasteful and not the best move in times of rising energy prices. Use a mutex to put the waiting thread to sleep.
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Physics threads on HN can be so entertaining.
Any HN thread where real thought is required devolves into insanity quickly.
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All particles and molecules move with cosine and sin in unison (maps our existence) therefore producing a shadow encoding our conscious in 3D realm
> space maybe an illusion..
space is an illusion...The only thing that is absolute is consciousness, on top of which all illusions stand.
All possible subsets of a Universal Set can be considered as Observers. So a Power Set is collection of observers. Power Set of Power Set is another such collection. So on and so forth. Powersets all the way up.
Consciousness is the greatest illusion of them all.
Get a load of this. You can have only consciousness and still have a sensation of a full universe.
Tell me again how Consciousness is an illusion..
This doesn't make sense. Which consciousness is absolute? Yours or mine? Because I can't see your consciousness; I can only infer its existence. You can't see my consciousness; you can only infer its existence.
>Yours or mine?
Ours. Or every ones..We can easily accept that we inhabit the same spacetime. Why is it hard to imagine the same for consciousness?
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> With gravity, mass plays the role of charge. It bends space-time around it, and it is always positive. There is no negative mass, so you can always infer the one real arrangement of stuff inside from the warping of space-time at the surface of your box.
This is a simplification to the point of just being wrong. Gauss’s law works for gravity; if you put a shell around Earth you have no way of knowing whether it’s a planet or an Earth-mass black hole inside. Assuming spherical symmetry of density, anyway.
> This is a simplification to the point of just being wrong.
Is it? If you project a "3D" singularity onto a surface, it's still a point. If you project a roughly spherical object, it's roughly circular.
Gauss' law in this case would apply to the total force of gravity exerted by the mass within the shell, not its distribution across the surface of the shell.
I assumed the analogy meant that just by measuring the gravitational field outside the shell, you could figure out the mass distribution inside. And you can't, not in the general case.