A String theory and locality of small dimensions

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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.
 
Jacobson’s work (1995) [1] demonstrated that Einstein’s equations can be derived from thermodynamic principles, suggesting gravity might emerge from the thermodynamic behavior of spacetime, tied to the entropy of horizons. Other researchers, such as Bekenstein [2] and Verlinde [3], have explored similar ideas, linking gravity to entropy and holographic principles. I’m interested in discussing how these thermodynamic approaches might apply to quantum gravity, particularly at the Planck...

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