Graduate String theory and locality of small dimensions

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The discussion centers on the concept of curled-up dimensions in string theory and their implications for our understanding of three-dimensional space. The question raised challenges the validity of incorporating these dimensions from a topological perspective, suggesting that they may not adequately account for the surrounding environment. There is a concern about whether string theorists have misapplied geometric concepts from the 18th century in their theories. A visualization of a cylinder's surface is provided to illustrate the idea of dimensions being curled in one direction while remaining flat in another. This highlights the complexity and potential confusion surrounding the interpretation of small dimensions 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.
 
This is an alert about a claim regarding the standard model, that got a burst of attention in the past two weeks. The original paper came out last year: "The electroweak η_W meson" by Gia Dvali, Archil Kobakhidze, Otari Sakhelashvili (2024) The recent follow-up and other responses are "η_W-meson from topological properties of the electroweak vacuum" by Dvali et al "Hiding in Plain Sight, the electroweak η_W" by Giacomo Cacciapaglia, Francesco Sannino, Jessica Turner "Astrophysical...

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