Non-commutative geometry and irreversibility
arXiv:cond-mat/9708052 · doi:10.1007/s100510050159
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.
15 pages, 2 figures, Revtex formatted