2001/01/01 by Jian-Miin Liu · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Coordinate system #Coordinate time #Four-force #Frame of reference #Geometry #Inertial frame of reference #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Relativity and Gravitational Theory #Special relativity #Theory of relativity #Twin paradox #physics.gen-ph
paper · pdf · doi:10.1016/s0960-0779(99)00188-5
published in Chaos Solitons & Fractals 12(2), 399-406 (Elsevier BV) · 7 pages, no figure
openalex publication_date 2001/01/01 · arxiv created 2001/08/22 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the speed of light in all inertial frames of reference, special relativity uses the assumption about the Euclidean structures of gravity-free space and time in the usual inertial coordinate system. Introducing the so-called primed inertial coordinate system, in addition to the usual inertial coordinate system, for each inertial frame of reference, we assume the Euclidean structures of gravity-free space and time in the primed inertial coordinate system and their generalized Finslerian structures in the usual inertial coordinate system. We combine this assumption with the two postulates (i) and (ii) to modify special relativity.