Relativity principle with a low energy invariant scale

2005/06/15 by J. M. Carmona, Jose Manuel Carmona, J. L. Cortés +1
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.72.064009

published as Phys.Rev. D72 (2005) 064009 · RevteX, 4 pages

arxiv created 2005/06/15 · openalex publication_date 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The possibility of a modification of special relativity with an invariant energy scale playing the role of a minimum energy is explored. Consistency with the equivalence of different inertial frames is obtained by an appropriate choice of a nonlinear action of the Lorentz group on momentum space. Limits on the low energy cutoff from tests of Einstein's theory and possible ways to measure the new energy scale are discussed.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Universal upper bound on the entropy-to-energy ratio for bounded systems
• Entropy bounds and black hole remnants
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Doubly-Special Relativity: First Results and Key Open Problems
• Generalized second law of thermodynamics in black-hole physics
• The World as a Hologram
• Black Holes and Entropy
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)