TITLE:
Formulae for Energy and Momentum of Relativistic Particle Regular at Zero-Mass State
AUTHORS:
Robert M Yamaleev
KEYWORDS:
Relativistic Dynamics, Complex Algebra, Rapidity, Energy-Momentum, Background Energy, Statistical Thermodynamics.
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.8,
August
9,
2011
ABSTRACT: 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.