Phase transitions of space-time?

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SUMMARY

The forum discussion centers on the concept of phase transitions in space-time, particularly the analogy of space-time as a melting crystal. Participants reference the implications of topological string theory and crystal theory as dual descriptions of a unified system, as proposed by Okounkov, Reshetikhin, and Vafa. The conversation also touches on the vacuum selection principle and eternal inflation, with Lenny Susskind's insights highlighting the complexity of selecting a universe from a vast landscape of possibilities. The discussion concludes with the assertion that quantum computers are limited by the Bekenstein bound, emphasizing the intricate relationship between quantum computation and the nature of space-time.

PREREQUISITES
  • Understanding of topological string theory and its implications.
  • Familiarity with the vacuum selection principle in theoretical physics.
  • Knowledge of quantum computation and the Bekenstein bound.
  • Basic concepts of Calabi-Yau manifolds and their role in string theory.
NEXT STEPS
  • Research the relationship between topological string theory and crystal theory.
  • Explore the implications of the vacuum selection principle on cosmology.
  • Investigate the concept of eternal inflation and its significance in modern physics.
  • Study the limitations of quantum computers in solving NP-complete problems and the Bekenstein bound.
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and computer scientists interested in the intersections of quantum mechanics, string theory, and computational limits in the context of space-time. It is particularly relevant for those exploring the foundational aspects of quantum gravity and the nature of the universe.

  • #31
Fra said:
A binary stream is the simplest case. But depending on the contents of the data stream, a binary stream may self-organise into, say a hex stream, if it's the most efficient representation. But this is just one possible mechanism out of many.

One of the basic ideas is that each possible data set, has it's own preferred optimum representation in it's relative context. So when I said "binary stream is the simplest case" isn't really true! beucase sometimes, depending on the data some other representation may be more efficient, and thus are _most likely_ to be chosen, given that we really don't know. So there seems to be no universal answer to what simple is, and subsequently not what "optimum configuration is", which is exactly what should lead to dynamics. The duality between large and small, and simple and complex, leads to changing relations - dynamics, which by definition defines new relations, ongoingly.

In short, my starting point is some kind of abstract data stream... no space or geometry is even thought of at this point. It's assume that there is some kind of "processing device", which really is thought to simply be a self organising memory - the self organisation the "processing". I consider that ultimately such a thing can evolve from the starting point of a single bit. The exact rules, is what I'm working on. Eventually the concept of dimension and geometry will be organized, the reason for this appearing is simply that it's more likely than the opposite. The actual outcome, and actual dimensions will reside in the data itself. This is nothing we should put in by hand, it should ideally not be needed.

I can see several possible formalisms to attack this. But my motivation is not in the standards of formalisms. By the same token above, I think that perhaps the optimum formalism depends on the point of view, because the descroption of the formalism itself occupies memory and processing power. Like in datacompression, the highly efficient compression algorithsm often take longer time to decode. So the concept "optimum" is not that obvious after all. I think it's relative to context. Which is one of the founding ideas. This it bothers me to be forced to make a seemingly arbitrary choice.

/Fredrik
 
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  • #32
Fra said:
This it bothers me to be forced to make a seemingly arbitrary choice.

But the standard resolution is the insight that, it is more efficient at times to make an aribtrary random choice, than to invent a reason to motivate your choice, because invention means processing, and time passes. Again the same universal theme his us in the face. No matter what we doo, we keep getting back to these seemingly elementary things.

/Fredrik
 

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