Dynamical Features of Maggiore's Generalised Commutation Relations

Abstract

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.

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

References in corpus (4)

• New Tests of Lorentz Invariance Following from Observations of the Highest Energy Cosmic Gamma Rays
• Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
• Planck-scale relativity from quantum $\kappa$-Poincaré algebra
• Varying speed of light cosmology from a stringy short distance cutoff

Cited by in corpus (1)

• Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory