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arXiv · 0709.3475

On the mathematical origin of quantum space-time

G. Sardanashvily
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Abstract

An Euclidean topological space E is homeomorphic to the subset of delta-functions of the space D'(E) of Schwartz distributions on E. Herewith, any smooth function of compact support on E is extended onto D'(E). One can think of these extensions as sue generis quantum deformations. In quantum models, one therefore should replace integration of functions over E with that over D(E).

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G. Sardanashvily. 2007-10-22. On the mathematical origin of quantum space-time. https://arxiv.org/abs/0709.3475

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