Doubly Special Relativity with a minimum speed and the search for a quantum gravity at low energies

Abstract

This research aims to consider a new principle of symmetry in the space-time by means of the elimination of the classical idea of rest including a universal minimum limit of speed in the subatomic world. Such a limit, unattainable by the particles, represents a preferred inertial reference frame associated with a cosmological background field that breaks Lorentz symmetry. So there emerges a modified relativistic dynamics with a minimum speed related to the Planck length of the early universe, which leads us to search for a quantum gravity at low energies.

11 pages and 4 figures. Accepted for publication in Int. Journal of Modern Physics D. arXiv admin note: substantial text overlap with arXiv:0805.1201, arXiv:0711.4897

References in corpus (10)

• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Generalized Lorentz invariance with an invariant energy scale
• Doubly Special Relativity
• Doubly-Special Relativity: First Results and Key Open Problems
• Planck-scale modified dispersion relations and Finsler geometry
• Triply Special Relativity
• Deformed special relativity with an invariant minimum speed and its cosmological implications
• Quantizing speeds with the cosmological constant

Cited by in corpus (14)

• Variation of the speed of light and a minimum speed in the scenario of an inflationary universe with accelerated expansion
• Variation of the speed of light with temperature of the expanding universe
• Doubly Special Relativity with a minimum speed and the Uncertainty Principle
• Testing Lorentz symmetry violation with an invariant minimum speed
• Lorentz violation with an invariant minimum speed as foundation of the tachyonic inflation within a Machian scenario
• Lorentz violation with a universal minimum speed as foundation of de Sitter relativity
• Deformed Special Relativity with an invariant minimum speed as an explanation of the cosmological constant
• Lorentz violation with an invariant minimum speed as foundation of the Gravitational Bose Einstein Condensate of a Dark Energy Star
• Lorentz violation with an invariant minimum speed as foundation of the uncertainty principle in Minkowski, dS and AdS spaces
• A brief review of a modified relativity that explains cosmological constant
• Variation of the fundamental constants over the cosmological time: veracity of Dirac's intriguing hypothesis
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• The K-essence flow seen from the preferred frame $S_V$. A scalar field theory with Landau superfluid structure
• Cosmology of the Symmetrical Relativity versus Spontaneous Creation of the Universe Ex Nihilo