On the mathematical origin of quantum spacetime
Abstract
An Euclidean topological space E is homeomorphic to the subset of deltafunctions 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).
 Publication:

arXiv eprints
 Pub Date:
 September 2007
 arXiv:
 arXiv:0709.3475
 Bibcode:
 2007arXiv0709.3475S
 Keywords:

 Mathematical Physics
 EPrint:
 7 pages