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.
Highlights
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
Our principal motivation behind the present work is to provide a crucial elementary derivation of new superluminal spatio-temporal transformations (STs) based on the idea that, conceptually and kinematically, each subluminal (0 ≤ v < c), luminal (v = c) and/or superluminal (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
Ii) Each inertial reference frames (IRFs) has, in addition to its relative velocity of magnitude v, its proper specific kinematical parameter (SKP), which having the physical dimensions of a constant speed defined as
Summary
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. We are dealing with the superluminalization of SRT that leads directly to superluminal relativistic mechanics in which the theoretical maximal possible velocity of an ordinary massive particle or of a physical signal is not necessarily equal to the light speed in vacuum but can be higher than c as we will see later. This means the light speed, c = 299 792 458 ms−1, is limiting speed only in the context of SRT because the Lorentz transformation (LT), which is the core of SRT, becomes meaningless when the relative velocity of IRF reaches or exceeds the light speed, that is when v ≥ c Lorentz factor γ = 1 − v2/c2 −1/2 becomes imaginary or infinite
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