Nilpotent Fuzz
High Energy Physics - Theory
2008-11-26 v2
Abstract
We present a construction of the formalism where fundamental variables are nilpotent, but in contrast to the supermathematics, commutative. This gives another possibility to realize classically the Pauli exclusion principle. We sketch the relevant formalism and discuss simple model of the nilpotent oscillator to illustrate the generalized nilpotent mechanics.
Cite
@article{arxiv.0708.1557,
title = {Nilpotent Fuzz},
author = {A. M. Frydryszak},
journal= {arXiv preprint arXiv:0708.1557},
year = {2008}
}
Comments
10 pages, no figures, talk given at the XVIth International Colloquium on Integrable Systems and Quantum symmetries (ISQS-16), Prague 2007. New references added. Properties of the first order nilpotent curves given