Abstract
Starting from the hypothesis of the invariancy of the subluminal momentum and applying the beyond-Lorentz transformations we derive a new equation for the invariant momentum-velocity of particles which can be applied to subluminal or superluminal particles. The kinetic energy shows a maximum at the velocity of light and falls at subluminal or superluminal velocities. There is good agreement with the Newtonian and relativistic results for particle momentum and energy at subluminal velocities.
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