Local Lorentz Transformation and Mass-Energy Relation of Spinor

摘要

In this paper, we strictly establish classical concepts and relationsaccording to a Dirac equation with scalar, vector and nonlinear potentials. Tocalculate classical parameters for moving spinor, the local Lorentztransformations for parameters are derived. The calculation shows thatdifferent kinds of potentials result in different energy-speed relations, andthe energy-speed relations for these potentials are derived in detail. Theusual mass-energy relation $E = mc^2$ holds only for the linear spinor. Theenergy-speed relations can be used as fingerprints to identify the interactivepotentials of a particle by elaborated experiments. The analysis and results ofthis paper can also provide some natural explanations for the foundation ofquantum mechanics, and clarify some long-standing puzzles in the theory.