Phase transitions of space-time?

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Discussion Overview

The discussion revolves around the concept of phase transitions in space-time, exploring analogies with melting crystals and their implications for quantum gravity. Participants examine theoretical connections between these ideas and the nature of computation in quantum systems, as well as the implications of various principles in physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that space-time can be likened to a solid or liquid that undergoes phase transitions, potentially leading to concepts like "space-time steam."
  • Others reference the melting of crystals as a potential key to understanding quantum gravity, suggesting a duality between topological string theory and crystal theory.
  • A participant questions the absence of a dual liquid or gaseous theory in this context.
  • One participant discusses Lenny Susskind's ideas on the landscape of possible universes and the vacuum selection principle, suggesting that there may not be a specific selection mechanism for these vacuums.
  • Another participant introduces the concept of eternal inflation as a possible fabrication mechanism for the variety of vacuums.
  • There are claims that quantum computers are limited by the Bekenstein bound, with discussions on the nature of computation and the potential for infinite computation in different spacetimes.
  • Some participants express confusion over the implications of quantum computation and its limitations, particularly in relation to NP-complete problems.
  • One participant highlights the importance of cubic paths in combinatorics related to quantum gravity, linking it to the melting crystal analogy.

Areas of Agreement / Disagreement

Participants express a range of views on the relationship between melting crystals and quantum gravity, with no clear consensus on the implications or interpretations of these ideas. There is also disagreement regarding the limitations of quantum computation and the nature of the vacuum selection principle.

Contextual Notes

Participants note the complexity of the concepts discussed, including the nature of phase transitions, the dimensionality of crystals, and the implications of various theoretical frameworks. There are references to unresolved mathematical steps and assumptions regarding the nature of computation in quantum systems.

Who May Find This Useful

This discussion may be of interest to those exploring theoretical physics, quantum gravity, computational theory, and the philosophical implications of phase transitions in space-time.

  • #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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