On the mathematical origin of quantum space-time
Mathematical Physics
2007-10-22 v2 math.MP
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).
Cite
@article{arxiv.0709.3475,
title = {On the mathematical origin of quantum space-time},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:0709.3475},
year = {2007}
}
Comments
7 pages