Remarks on Quantum Physics and Noncommutative Geometry
History and Overview
2016-09-07 v1 High Energy Physics - Theory
Category Theory
Abstract
The "quantum-event / prime ideal in a category/ noncommutative-point" alternative to "classical-event / commutative prime ideal/ point" is suggested. Ideals in additive categories, prime spectra and representation of quivers are considered as mathematical tools appropriate to model quantum mechanics. The space-time framework is to be reconstructed from the spectrum of the path category of a quiver. The interference experiment is considered as an example.
Cite
@article{arxiv.math/0006024,
title = {Remarks on Quantum Physics and Noncommutative Geometry},
author = {Lucian M. Ionescu},
journal= {arXiv preprint arXiv:math/0006024},
year = {2016}
}
Comments
9 pages, AMS-LaTex, 1 eps figure