Deformed Special Relativity with an energy barrier of a minimum speed

Abstract

This research aims to introduce a new principle in the flat space-time geometry through the elimination of the classical idea of rest and by including a universal minimum limit of speed in the quantum world. This limit, unattainable by the particles, represents a preferred inertial reference frame associated with a universal background field that breaks Lorentz symmetry. There emerges a new relativistic dynamics where a minimum speed forms an inferior energy barrier. One of the interesting consequences of the existence of such a minimum speed is that it prevents the absolute zero temperature for an ultracold gas according to the third law of thermodynamics. So we will be able to provide a fundamental dynamical explanation for the third law through a connection between such a phenomenological law and the new relativistic dynamics with a minimum speed.

14 pages, 4 figures

References in corpus (3)

• Planck-scale modified dispersion relations and Finsler geometry
• Triply Special Relativity
• Deformed special relativity with an invariant minimum speed and its cosmological implications

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• 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
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• Cosmology of the Symmetrical Relativity versus Spontaneous Creation of the Universe Ex Nihilo