Non-commutative geometry and irreversibility
Statistical Mechanics
2009-10-30 v1
Abstract
A kinetics built upon -calculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the "quasi-position" whose eigenvalues are the levels of the hierarchy, corresponding to the volume ofphase space available to the system at any given time. Motion along the lattice of quasi-positions is irreversible.
Cite
@article{arxiv.cond-mat/9708052,
title = {Non-commutative geometry and irreversibility},
author = {Ayse Erzan and Ayse Gorbon},
journal= {arXiv preprint arXiv:cond-mat/9708052},
year = {2009}
}
Comments
15 pages, 2 figures, Revtex formatted