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Deformed special relativity with an invariant minimum speed and its cosmological implications

2007/11/30 by Cláudio Nassif, Claudio Nassif · 17 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmological constant #Cosmology and Gravitation Theories #Invariant (physics) #Limit (mathematics) #Lorentz covariance #Lorentz transformation #Noncommutative and Quantum Gravity Theories #One-way speed of light #Rest (music) #Rest frame #Theory of relativity #Vacuum energy #gr-qc

paper · pdf · doi:10.1007/s12043-008-0136-7

published in Pramana 71(1), 1-13 · 7 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:0705.4315, arXiv:0709.1727

openalex publication_date 2008/07/01 · openalex created_date 2016/06/24 · arxiv created 2016/11/07 · arxiv updated 2016/11/08 · openalex updated_date 2026/08/05

Abstract

The paper aims to introduce a new symmetry principle in the space-time geometry through the elimination of the classical idea of rest and by including a universal minimum limit of speed in the subatomic world. Such a limit, unattainable by particles, represents a preferred reference frame associated with a universal background field that breaks Lorentz symmetry. Thus the structure of space-time is extended due to the presence of a vacuum energy density, which leads to a negative pressure at cosmological scales. The tiny values of the cosmological constant and the vacuum energy density shall be successfully obtained, being in good agreement with current observational results.

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