ar X iv : g r - qc / 0 30 10 65 v 1 1 7 Ja n 20 03 Acceleration - Induced Nonlocality

ar X iv : g r - qc / 0 30 10 15 v 2 1 4 Ja n 20 03 Atomic Equivalence Violations via a Massive and Massless Dilaton

Two models, one assuming a massive dilaton and the other a massless dilaton, are used to calculate the equivalence violations of the spectrum of atoms. These are then compared and conclusions drawn.

ar X iv : g r - qc / 0 50 10 94 v 5 2 5 Ja n 20 07 On the Maximal Universal Acceleration in Deterministic Finslerian Models

The existence of a maximal acceleration for deterministic finsle-rian models at the Planck scale is argued. Possible phenomenological relativity groups O(1, 6), O(1, 7) and O(2, 6) are introduced from the perspective of finslerian deterministic models. The effect of maximal acceleration delaying the speed of light is studied. Finally, a mechanism generating maximal acceleration in connection wi...

ar X iv : m at h - ph / 0 30 10 19 v 1 1 5 Ja n 20 03 Which distributions of matter diffract ? — Some answers

ar X iv : g r - qc / 0 20 11 03 v 1 3 1 Ja n 20 02 Covariant Mixmaster Dynamics

We provide a Hamiltonian analysis of the Mixmaster Universe dynamics on the base of a standard Arnowitt-Deser-Misner Hamiltonian approach, showing the covariant nature of its chaotic behaviour with respect to the choice of any time variable, from the point of view either of the dynamical systems theory, either of the statistical mechanics one.

ar X iv : g r - qc / 0 40 30 38 v 2 1 1 Ja n 20 05 Hamiltonian formalism and spacetime symmetries in generic DSR models

We study the structure of the phase space of generic models of deformed special relativity which gives rise to a definition of velocity consistent with the deformed Lorentz symmetry. As a byproduct we also determine the laws of transformation of spacetime coordinates.