Remarks on Quantum Physics and Noncommutative Geometry
历史与综述
2016-09-07 v1 高能物理 - 理论
范畴论
摘要
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.
引用
@article{arxiv.math/0006024,
title = {Remarks on Quantum Physics and Noncommutative Geometry},
author = {Lucian M. Ionescu},
journal= {arXiv preprint arXiv:math/0006024},
year = {2016}
}
备注
9 pages, AMS-LaTex, 1 eps figure