2014/05/20 by Benjam ' in Calvo-Mozo, Calvo-Mozo, Benjamín
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1405.5224
openalex publication_date 2014/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In present work we examine the implications on both, space-time measures and causal structure, of a generalization of the local causality postulate by asserting its validity to all motion regimes, the subluminal and superluminal ones. The new principle implies the existence of a denumerable set of metrical null cone speeds, \ck\, where c1 is the speed of light in vacuum, and ck/c ≃ ε-k+1 for k≥2, where ε2 is a tiny dimensionless constant which we introduce to prevent the divergence of the x, t measures in Lorentz transformations, such that their generalization keeps ck invariant and as the top speed for every regime of motion. The non divergent factor γk equals kε-1 at speed ck. We speak then of k-timelike and k-null intervals and of k-timelike and k-null paths on space-time, and construct a causal structure for each regime. We discuss also the possible transition of a material particle from the subluminal to the first superluminal regime and vice versa, making discrete changes in v2/c2 around the unit in terms of ε2 at some event, if ponderable matter particles follow k-timelike paths, with k=1,2 in this case.