Undeformed (additive) energy conservation law in Doubly Special Relativity

Abstract

All the Doubly Special Relativity (DSR) models studied in literature so far involve a deformation of the energy conservation rule that forces us to release the hypothesis of the additivity of the energy for composite systems. In view of the importance of the issue for a consistent formulation of a DSR statistical mechanics and a DSR thermodynamics, we show that DSR models preserving the usual (i.e. additive) energy conservation rule can be found. These models allow the construction of a DSR-covariant extensive energy. The implications of the analysis for the dynamics of DSR-covariant multiparticle systems are also briefly discussed.

5 pages; A comparison with a previous analysis has been added

References in corpus (5)

• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Introduction to Doubly Special Relativity
• Entropy and temperature of black holes in a gravity's rainbow
• Position space versions of Magueijo-Smolin doubly special relativity proposal and the problem of total momentum
• Unphysical Predictions of Some Doubly Special Relativity Theories

Cited by in corpus (6)

• On the fate of Lorentz symmetry in relative-locality momentum spaces
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Photon Gas at the Planck Scale within the Doubly Special Relativity
• Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off
• Variational problem for Hamiltonian system on so(k, m) Lie-Poisson manifold and dynamics of semiclassical spin
• On the invariance of the relative rest in doubly special relativity