Doubly Special Relativity with a minimum speed and the Uncertainty Principle

Details Doubly Special Relativity with a minimum speed and the Uncertainty Principle Doubly Special Relativity with a minimum speed and the Uncertainty Principle

2011-12-17

arxiv.org/abs/1112.4003v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 8 figures, published in International Journal of Modern Physics D (IJMPD), Vol.21, n.2

Scientific paper

10.1142/S0218271812500101

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.

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