What Are Curled-Up Dimensions and Their Implications?

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SUMMARY

The discussion centers on the concept of "curled-up dimensions," primarily in the context of string theory and its implications for spatial dimensions. Participants illustrate the idea using analogies from classic video games, where moving off one edge of the screen results in reappearing on the opposite side. They explore the mathematical consistency of such dimensions, questioning their physical reality and the ability to measure or detect them. Key points include the distinction between curled and non-curled dimensions, the implications for causality, and the challenges in providing reproducible evidence for these theoretical constructs.

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  • Understanding of basic geometry and topology
  • Familiarity with string theory concepts
  • Knowledge of causality in physics
  • Basic principles of dimensional analysis
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  • Research "String Theory and its implications for dimensions"
  • Study "Topology in Physics" for a deeper understanding of spatial dimensions
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  • #31
Hurkyl said:
Fortunately, things become simpler when the dimension is very tiny (e.g. if quarks can 'span' the entire dimension) -- you simply don't (directly) detect it at all!

Yes indeed, Hurkyl. But then it's hard to say what curled-up dimensions are "like" and, with the rest of folk beyond the standard model, one is left literally grasping at straws (or strings?), not having detected anything new lately!

Let's hope that the LHC soon turns up something new, if it doesn't blow us all to Hades.
 
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  • #32
Dcase said:
Curled-up dimensions have been discussed in papers ...and probably others... the ubiquity of helices...

Add:

7. It's very old and all relative: "..a geometrically straight, but eccentric (line) line parallel to the axis of a twisted (crystal lattice) is in fact a helical line in lattice coordinates" Phil.Mag. 34, 1105 (1958).
 

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