Dynamical Features of Maggiore's Generalised Commutation Relations

Details Dynamical Features of Maggiore's Generalised Commutation Relations Dynamical Features of Maggiore's Generalised Commutation Relations

2002-04-25

arxiv.org/abs/hep-th/0204215v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. Version 2: Title modified and a few minor additions and deletions in the text. Section 5 shortened. To appear in Phy

Scientific paper

We study the dynamical features of Maggiore's generalised commutation relations. We focus on their generality and, in particular, their dependence on the Hamiltonian H. We derive the generalisation of the Planck's law for black body spectrum, study the statistical mechanics of free particles, and study the early universe evolution which now exhibits non trivial features. We find that the dynamical features, found here and in our earlier work, are all generic and vary systematically with respect to the asymptotic growth of the Hamiltonian H.

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