Doubly Special Relativity with a minimum speed and the Uncertainty Principle

Abstract

The present work aims to search for an implementation of a new symmetry in the space-time by introducing the idea of an invariant minimum speed scale ($V$). Such a lowest limit $V$, being unattainable by the particles, represents a fundamental and preferred reference frame connected to a universal background field (a vacuum energy) that breaks Lorentz symmetry. So there emerges a new principle of symmetry in the space-time at the subatomic level for very low energies close to the background frame ($v\approx V$), providing a fundamental understanding for the uncertainty principle, i.e., the uncertainty relations should emerge from the space-time with an invariant minimum speed.

10 pages, 8 figures, Correlated paper in: http://www.worldscientific.com/worldscinet/ijmpd?journalTabs=read. arXiv admin note: substantial text overlap with arXiv:physics/0702095, arXiv:0705.4315, arXiv:0709.1727, arXiv:0805.1201

References in corpus (5)

• Triply Special Relativity
• Deformed Special Relativity with an energy barrier of a minimum speed
• Doubly Special Relativity with a minimum speed and the search for a quantum gravity at low energies
• Deformed special relativity with an invariant minimum speed and its cosmological implications
• Mach or Higgs? The mechanisms to generate mass

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• On the electrodynamics of moving particles in a quasi flat spacetime with Lorentz violation and its cosmological implications
• 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
• 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