Non-commutative geometry and irreversibility
نویسنده
چکیده
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 of phase space available to the system at any given time. Motion along the lattice of quasi-positions is irreversible. 5.20.Dd, 5.70.Ln Typeset using REVTEX 1
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