Topology

   

Matching Points and Identity

Authors: Arturo Tozzi

Recently introduced versions of the Borsuk-Ulam theorem (BUT) state that a feature on a n-manifold projects to two features with matching description onto a n+1 manifold. Starting from this rather simple “abstract” claim, a fruitful general framework has been built, able to elucidate disparate “real” physical and biological phenomena, from quantum entanglement, to brain activity, from gauge theories to pre- big bang scenarios. One of the main concerns of such a topological approach to systems features is that it talks in rather general terms, leaving apart the peculiar features of individuals and of single physical and biological processes. In order to tackle this issue, in this brief note we ask: what does it mean “matching description”? has matching description anything to do with “identity”?

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[v1] 2017-01-28 01:09:57

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