David Chester - The Universe as a Holographic Quasicrystalline Tensor Network
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- Опубліковано 8 чер 2024
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This talk is a re-recording of a talk given by David Chester to Louis Kauffman’s Quantum Topology seminary at the University of Illinois at Chicago on March 24th, 2022.
Recent advances in AdS/CFT holography have found an analogue in discrete tensor networks of qubits. The {5,4} hyperbolic tiling allows for topological error correction. We review a simple 32 x 32 Hamiltonian from five maximally entangled physical qubits on the boundary edges of a pentagon, whose two-fold degenerate ground state leads to an emergent logical qubit in the bulk. The inflation rule of a holographic conformal quasicrystal is found to encode the holographic code rate that determines the ratio of logical qubits to physical qubits. Generalizing SU(2) qubits to twistors as conformal spinors of SU(2,2), an H3-symmetric 5-compound of cuboctahedral A3 = D3 root polytopes is outlined. Motivated by error correction in the Hamming code, the E8 lattice is projected to the H4-symmetric quasicrystal. The 4-dimensional 600-cell is found to contain five 24-cells associated with the D4 root polytope associated with Spin(4,4). Intersection with Sp(8,R) phase space identifies three generations of conformal symmetry with an axial U(1) symmetry. A lightning review of E8(-24) phenomenology with Spin(12,4) is pursued for gravity and the standard model with a notion of CDT-inspired discretized membranes in mind. Warm dark matter beyond the standard model is briefly articulated to stem from intersecting worldvolumes related to the Leech lattice associated with the Golay code, hinting at a monstrously supersymmetric M-theory in D=26+1. A new D=27+3 superalgebra is shown to contain membranes that can give a world volume description of M-theory and F-theory.
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At least that's how mom always described it.
I'm so sad I can't keep up. The concepts are beautiful.
So, there have already been some successful explorations into solving equations quickly by portraying quantum space as having a predictable geometric "face" (or facet. This was also in holography some years ago.) This is sort of going a bit deeper by suggesting that the interrelation of solutions is made easier on an even grander scale by pursuing not just one facet but an entire multi-faceted object (sort of like a gemstone) that exists as a crystalline structure with "tensor states" in the vertices of its lattice structure.
@@hyperbaroque Thanks !
Supprisingly I actually can but it's still really boring.
@@michaelelbert5798 I think concieving the universe as a reflection of a multi dimensional state is quite thrilling...not quite sure what motivated your comment though.
@@hyperbaroque Amplituhedron
Two minutes in and my head is already on the verge of exploding.
Still following you guys very closely.
Great amazing work guy's.
Awesome! Thank you!
The joys of a holistic multiverse :)
Epic title💥
What ever you Do...
DONT snort the quasicrystal!
That's great. Now I will use this to make my teletransporter. Thank you.
Now you've done it!
A process of spherical symmetry forming and breaking will naturally form three-dimensional space with the spherical surface forming a boundary condition for the holographic principle. The inner concaved surface forms a manifold for negative charge and the outer surface forms a manifold for positive charge with the exchange of photon energy continuously forming a probabilistic uncertain future. 🎲🎲
Wait? The universe is made of D&D dice?
Why I go ham all the time.
Aside from QGR, the only person I hear talking about polytopes and consciousness as fundamental reality is Donald Hoffman over the last 2 years since his latest book. Are QGR in contact with Hoffman? It would be great to see him in an interview with Klee where deep mathematics can be discussed but don’t have to be for the layperson. Exactly zero percent of anyone I mention this to has any idea what I’m talking about.
Yes please to discussions between QGR and Donald Hoffman
❤👍
Interesting observation!
Causal sets and CDT approach might also be related to neural networks.
Wish i had this same interest growing up. Thanks for your contributions 💯🫶🏾
Very cool!
To understand reality , be it physical, digital or other the secret lies in consciousness….. it all begins in the ‘mind’ !
YEEEEESSSS!!! Simple really.
*'Consciousness' is a Function involving two Components; i/. An Analytical process involving the brain, and 2/. AWARENESS which is NOT a human Component, but is Non-Dimensional, and does NOT represent, nor even remotely look anything like any species, including the human species.... AWARENESS is "LIFE The Real Self" !*
@@johnb8854 yes ! Duality….
I don't know. You don't know. Nobody knows... but everybody talkin'
@@_creighton everyone is trying to find a way out of this prison …. Understand it is the key !
Thanks. How big is the supposition that the observation of a group waters down the collapsing effect of an observer.... at what ratio? Open's cool perspectives.
The title kinda says it all amirite?
1:00:00 the more symmetric two-or-more-time approach may help according to some but we don't seem to go there much for reasons that are over my head yet still nice to hear for some reason.
It all boils down to energy density differences in different parts of space, and the resulting different time dilation between those regions. That gives rise to gravity. Think about it.
How is everyone at QGR ? Hope you're all doing well !
everyone is great here! thanks for asking! hope you are doing well too!
The Hyperbolic Tilings reminds me of Mandalas. I've always suspected reality is coded using geometric patterns
And I thought it was a donut, darn...
Toroidal structure should be important as well, especially when considering the universe as a finite patch with periodic boundary conditions. Additionally, the work of Poplawski for spacetime torsion used donut shapes for the electron, which leads to UV-complete QED.
It is very interesting reverse engineering from the nature designer. It always makes more than one theory. For example, quantum entanglement can be the starting point of two theories: quantum bond is beyond dimensions then does not involves time or it is spooky in higher dimensions, where time is not relevant. I do not know how holography explains quantum entanglement existence?
“Where (linear) time is not relevant” -> or generalized to nonlinear time 😌💭
That's absolutely epic, just wild man
isn't the overall point of qubits to be a varying degree of measure and set up a range between each that is minutely different than any qubit within its linear string? wouldn't these qubits be entangled to varying degrees as well? then the first qubit would have the highest probability of entanglement with the others and each branch would be a lesser degree of entanglement moving forward? meaning every entangled qubit would have less and less correlation to others on that same parallel. If there is error correction is it possible that the entangled state is what is correcting any qubit? Or maybe I'm way off. trying to keep up lol.
As far as I understand, the idea is to make all of the qubits maximally entangled so it would be about the same everywhere.
🤯 🤯 🤯
Heavy Duty !
I totally get everything! Or not... lol
.....I knew it!
The universe can identify however it wants.
I support they univers' current identity
In the beginning of the vid, what about an atom-orbital qubit?
If the electron orbital follows crystal symmetry, thus the atomic orbital in optical lattices a natural candidate to emulate electron orbitals by manipulating s- and d-orbitals of atomic Bose-Einstein condensation in an optical lattice.
Making it a noise-resilient quantum gate operations. Achieved by performing holonomic quantum control, which admits geometrical protection, to eliminate the orbital leakage error in the system.
⚡️💻💥
👽
Will there ever be Superiorposition.
Where the answer is given before the question is even asked.🤔
Half past twelve. Blue. Wednesday.
my brain hurts
If you guys would only replace "Gravity" to "Molecular Alignment" things would begin to make so much more sense.
Gravity is killing this whole thing.
Research SAFIRE Project.
The Dalton is arbitrary.
You're mapping transmutation of elements.
That's why the odd fractal synchronicities keep appearing. 💯
This could be semantical, as condensed matter theory of quanta such as atoms and molecules relates directly to metric-affine gravity.
@@chesterthinks I hear you.
It's all elementary Dear Watt•son...or was it "It's all relative..." can't remember. 😋😅
Aether way, the paradigm shift is difficult at best. 💯⚡️💯
@@chesterthinks" I understood that reference." I've been interested in the physics concept of quantum leap and the effects of potential energy exchange on mass. this makes so much sense to me.
it seems obvious that as distance from mass increases so does the exchange from potential charge for other atoms and molecules. I guess my question would be what effect light has, and to what extent, on quantum leaps. especially after watching some old experiment on lights effect on electrical arching and the lumens created. I'm self teaching so I might be reading more into this conversation. definitely not as up on the terminology.
A great presentation, but way over my comprehension.
All I ask is that my future influence my past to make my present better.
Your future is now better.
Your past is now better.
Your present is now better.
Error correcting codes implies a computer simulation.
Right, maybe reality is like a self-simulation that contains the software and hardware integrated together.
ECC are the ensemble of classical computations(electric circuits) in the ensemble interpretation of qm.
I liked when Eric Weinstein turned out to have accidentally had a good idea, comedy
@7:45 why are physics geeks using "emergence" jargon here? It is not emergence in the philosophical sense of _unexplained by the parts._ What you've got is compositionality, a concept a lot simpler than _genuine emergence_ as a philosophy geek would understand the latter jargon word. Help in the fight against obscurantist jargonization of physics y'all.
The fact that the "whole" system consisting of an entangled state is not well-described by separating parts, is not an example of emergence. It is an example of entanglement --- a very simple concept. It means there are no separate parts, rather an entangled state is connected. Just as you cannot explain the motion of a string of rope by telling a story only about one end (where the devil did that reflected wave come from? must be spooky spooks! lol.).