String theory and locality of small dimensions

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SUMMARY

The discussion centers on the concept of curled-up dimensions in string theory, questioning their inclusion within our three-dimensional space. The participant raises fundamental concerns from a topological perspective, suggesting that the notion of curled dimensions may misinterpret geometric principles rooted in 18th-century concepts. A visualization using the surface of a cylinder is provided to illustrate the idea of dimensions being curled in one direction while remaining flat in another.

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  • Understanding of string theory fundamentals
  • Basic knowledge of topology
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  • Visualization techniques in theoretical physics
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  • Research the implications of curled-up dimensions in string theory
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The discussion is beneficial for theoretical physicists, mathematicians specializing in topology, and students exploring advanced concepts in string theory.

marce
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- I have in essence never understood the concept of curled up dimensions in string theory ; in the sense that if it occurs in this universe isn't that included in our 3 dimensional space ? My question is more fundamental in the sense from a topology viewpoint : was it correct to involve curled up dimensions , because there remains the 'surrounding environment'. And or did string theorists in the end abuse geometry from an 18th century concept of dimensions. Tx for your insights,

M.
 
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For a visualization, consider the surface of a cylinder. It is curled in one direction, but flat in another.
 

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