Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979616 | Physica A: Statistical Mechanics and its Applications | 2007 | 10 Pages |
Abstract
We demonstrate that when the Gibbs entropy is an invariant of motion, following Information Theory procedures it is possible to define a generalized metric phase space for the temporal evolution of the mean values of a given Hamiltonian. The metric is positive definite and this fact leads to a metric tensor, K(t)K(t), whose properties are well defined. Working with these properties we shown that: (a) the Generalized Uncertainty Principle (GUP), is always the summation over the principal minors of order 2 belonging to K(t)K(t); (b) several invariants of motion can be derived from the metric tensor; and (c) particularly, under certain conditions, the GUP itself, is also a motion invariant.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
C.M. Sarris, A.N. Proto,