From light-speed state to the rest: new representation for energy-momentum

Details From light-speed state to the rest: new representation for energy-momentum From light-speed state to the rest: new representation for energy-momentum

2009-05-02

arxiv.org/abs/0905.0234v1

Physics

Mathematical Physics

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Scientific paper

In this paper, we introduce a new concept of rapidity and define formulae for energy and momentum as functions of the new rapidity, we denominate "counter-rapidity". The correspoding velocity is measured from the state of light speed in direction to the rest state. This theory admits correct limit of Dirac equation at the zero-mass point and explain violation of the parity at this point. We show that the velocity of the particle near light-speed is quantized. With the new concept of rapidity are related a new group of transformations and new link between relativistic dynamics and hyperbolic geometry.

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