Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by taliesinb on Tuesday July 27, 2021 @02:58PM
(#27976152)
Funny this showing up here -- fractons are one of the first things I came across in pursuing my strange belief that fundamental particles are manifestations of defects in some "space-time crystal". But where Seiberg says “Quantum field theory is a very delicate structure, so we would like to change the rules as little as possible,” -- I have the exact opposite view: we'll probably need to tear down the vast majority of mathematical structures that are the foundation of QFT and QM, and build from scratch on a discrete combinatorial foundation. Luckily doing that is turning out to be a lot of fun and involve some interesting new mathematical ideas. But more often old mathematical ideas, like curvature, holonomy, and gauge symmetry, but resurrected in new forms.
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Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by procgen on Tuesday July 27, 2021 @09:28PM
(#27979458)
This this is the approach that Stephen Wolfram's physics project is exploring. In their model, everything is made of space, and space is a hypergraph.
Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by jiggawatts on Wednesday July 28, 2021 @02:53AM
(#27980993)
It isn't really. Wolfram's approach is relatively unique in that he bases it entirely on graphs alone, and no other structure.
There are several hints in more "standard" physics that a possible TOE could be based a model where you can think of the "stuff" of the universe more like a crystal with defects.
Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by galaxyLogic on Thursday July 29, 2021 @01:11PM
(#27998776)
Interesting. Then what is a "node" in a graph? What is made of? Could it be a graph?
Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by procgen on Wednesday July 28, 2021 @09:41AM
(#27983601)
A 'crystal with defects' sounds like a graph to me, but I'm only a dilettante.
Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by procgen on Tuesday July 27, 2021 @09:30PM
(#27979468)
...and I just read your bio - ha!
Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by archibaldJ on Tuesday July 27, 2021 @05:25PM
(#27977857)
Intriguing. A more discrete combinatorial approach could imply a corresponding proximity to programming language theories and type theories. This may be a bit far-fetch, but is there any chance introduction of parser/intrepreter-like constructs can be of useful significance?
Re:Fractons, the ‘weirdest’ matter, could yield quantum clues
by tomsel on Saturday August 07, 2021 @05:51PM
(#28102195)
> A more discrete combinatorial approach could imply a corresponding proximity to programming language theories and type theories.
I'm just curious, what theories are you talking about?