Differential structure of Greechie logics
Quantum Physics
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
A liaison between quantum logics and non-commutative differential geometry is outlined: a class of quantum logics are proved to possess the structure of discrete differential manifolds. We show that the set of proper elements of an arbitrary atomic Greechie logic is naturally endowed by Koszul's differential calculus.
Keywords
Cite
@article{arxiv.quant-ph/9902065,
title = {Differential structure of Greechie logics},
author = {Roman B. Breslav and Roman R. Zapatrin},
journal= {arXiv preprint arXiv:quant-ph/9902065},
year = {2007}
}
Comments
11 pages, latex