On the mathematical origin of quantum space-time

Details On the mathematical origin of quantum space-time On the mathematical origin of quantum space-time

2007-09-21

arxiv.org/abs/0709.3475v2

Physics

Mathematical Physics

7 pages

Scientific paper

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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