Superstring Cosmology: Compactifying 7 Dimensions

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Discussion Overview

The discussion revolves around the concept of compactification in Superstring Cosmology, specifically focusing on how seven dimensions may become compactified. Participants explore various theories and models related to this phenomenon, including the roles of cosmic strings and fundamental strings, as well as the implications of different geometries and topologies.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that cosmic strings may wrap around seven dimensions and collapse due to tension, seeking clarification on current theories of compactification.
  • Another participant mentions a theory involving Calabi-Yau shapes, which are proposed to help the universe maintain stability by adapting to cuts in space.
  • A request for a more technical and mathematical perspective on the compactification process within String Gas Cosmologies is made, indicating a desire for deeper exploration of the topic.
  • One participant describes the original models of string gases as involving fundamental strings rather than cosmic strings, explaining that winding modes of strings interact in specific ways that lead to the compactification of dimensions.
  • The discussion references the work of Brandenberger, Tsetylin, and Vafa regarding toroidal compactification and acknowledges that more complex compactification schemes can yield varied outcomes.

Areas of Agreement / Disagreement

Participants express differing views on the mechanisms of compactification, with some proposing the involvement of cosmic strings while others emphasize fundamental strings. The discussion remains unresolved regarding the specific processes and models involved.

Contextual Notes

The discussion highlights various assumptions about the nature of dimensions and the role of different string types, but does not resolve the mathematical details or implications of these theories.

Kevin_Axion
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In Superstring Cosmology and Superstring Gas Cosmology they try to address the question as to how compactification occurs. Is it believed that possibly cosmic strings wrapped themselves around 7 dimensions and collapsed due to their tension? This isn't a personal theory just a curiosity as to how current Superstring Cosmologists propose compactification of 7 dimensions occurred. If this is incorrect I would be glad if you can provide a detailed explanation or link.

Thanks, Kevin
 
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I am not completely sure about this. But I do know that their is a theory that proclaims that 7 dimensions curl around into a tiny shape, about the plank size, named a calabi-yau shape.
These tiny shapes help the universe to survive, as any cut in space ( where space rips apart) they can mould into different shapes to almost glue that rip together and stop the cataclysmic affect
A good book on string theory is Brian Greens book " the elegant universe"
Hope that's useful :)
 
Yea, thanks, I already know that I just wanted a more technical and mathematical perspective as to how only seven dimensional spaces become compactified within String Gas Cosmologies.
 
I once watched a magician swallow a spool of thread and a pack of double edged razor blades. He then pulled the string out of his mouth with all the razor blades neatly tied to it.
 
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The original models of string gases don't involve cosmic strings but fundamental strings. The idea is that initially all the dimensions possesses winding modes -- strings that wrap around the dimension. By observing that p-dimensional objects generically intersect in 2p+1 dimensions, 1-dimensional winding modes will generically annihilate with 1-dimensional anti-winding modes in at most 3 dimensions. This annihilation 'frees-up' these dimensions -- hence a universe with 3 non-compact dimensions. The 1D winding modes do not annihilate efficiently in higher dimensions, and so these remain compactified. This reasoning is based on Brandenberger, Tsetylin and Vafa's original proposal based on toroidal compactification. It has since been studied under more complicated compactification schemes with varied outcomes -- some geometries/topologies result in more than 3 large dimensions. The role of cosmic strings and branes has also been investigated.
 
Thanks.
 

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