Author(s)

Robert M Yamaleev

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In this paper we substantiate a necessity of introduction of a concept the counterpart of rapidity into the framework of relativistic physics. It is shown, formulae for energy and momentum defined via counterpart of rapidity are regular near the zero-mass and speed of light states. The representation for the energy-momentum is realized as a mapping from the massless-state onto the massive one which looks like as a "q"-deformation. Quantization of the energy, momentum and the velocity near the light-speed is presaged. An analogue between the relativistic dynamics and the statistical thermodynamics of a micro-canonical ensemble is brought to light.

Relativistic Dynamics, Complex Algebra, Rapidity, Energy-Momentum, Background Energy, Statistical Thermodynamics.

R. Yamaleev, "Formulae for Energy and Momentum of Relativistic Particle Regular at Zero-Mass State," Journal of Modern Physics, Vol. 2 No. 8, 2011, pp. 849-856. doi: 10.4236/jmp.2011.28101.