tailieunhanh - Foundations of superluminal relativistic mechanics

The paper provides an elementary derivation of new superluminal spatio-temporal transformations based on the idea that, conceptually and kinematically, each subluminal, luminal and/or superluminal inertial reference frame has, in addition to its relative velocity, its proper specific kinematical parameter, which having the physical dimensions of a constant speed. Consequently, the relativity principle and causality principle both are coherently extended to superluminal velocities and, more importantly, this original approach constitutes the first basic step toward the formulation of superluminal relativistic mechanics, which is in fact a pure superluminalization of special relativity theory. | Communications in Physics, Vol. 24, No. 4 (2014), pp. 313-332 DOI: FOUNDATIONS OF SUPERLUMINAL RELATIVISTIC MECHANICS MOHAMED E. HASSANI Institute for Fundamental Research, , CTR, Gharda¨ıa 47800, Algeria E-mail: hassani641@ Received 05 September 2014 Accepted for publication 12 November 2014 Abstract. The paper provides an elementary derivation of new superluminal spatio-temporal transformations based on the idea that, conceptually and kinematically, each subluminal, luminal and/or superluminal inertial reference frame has, in addition to its relative velocity, its proper specific kinematical parameter, which having the physical dimensions of a constant speed. Consequently, the relativity principle and causality principle both are coherently extended to superluminal velocities and, more importantly, this original approach constitutes the first basic step toward the formulation of superluminal relativistic mechanics, which is in fact a pure superluminalization of special relativity theory. Keywords: special relativity theory; superluminal inertial reference frames; superluminal spatio-temporal transformations; superluminal relativistic mechanics. I. INTRODUCTION Special relativity theory (SRT) is among the most fundamental and well verified of all physical theories, and it is well recognized to provide an accurate description of relativistic physical phenomena. That’s why it is now a basic tool of theoretical and experimental physics particularly for particle accelerators/colliders. However, in spite of their remarkable success in their proper domain of applications for relativistic velocities v c) inertial reference frame has, in addition to its relative velocity, its proper specific kinematical parameter (SKP), which having the physical dimensions of a constant speed. As a direct consequence, STs should allow us to extend SRT to luminal and superluminal IRFs without singularity. c 2014 Vietnam Academy of Science and

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