A free solution to the Dirac equation in R-spacetime

Abstract

In this work, the Dirac equation and its solution for a free fermion in R-spacetime is presented. In the solution obtained, the oscillation frequency increases as t → 0+. The time singularity and the necessity of restricting the time domain in R-spacetime is discussed. Limiting the time domain implies the possibility of quantization of the solution, though this is a subject for further work.