Non-commutative geometry and irreversibility

Details Non-commutative geometry and irreversibility Non-commutative geometry and irreversibility

1997-08-06

arxiv.org/abs/cond-mat/9708052v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 2 figures, Revtex formatted

Scientific paper

10.1007/s100510050159

A kinetics built upon $q$-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.

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