A Lorentz invariance respectful paradigm to explain the origin of ultra-high-energy cosmic ray energies

Abstract

The issue of this article, whose approach consists in rigorously applying the principle of least action and the invariance of Minkowski space-time, is to explore and extend the equations of special relativity when velocities are greater than c while preserving their covariant nature. This approach, adapted to the study of special relativity, provides a privileged theoretical framework for probing the properties of the superluminal regime if it exists. Relativistic superluminal equations indicate that the speed of light is a singularity in the speeds' spectrum and that the evolution of these equations as a function of the velocity is reversed with respect to the equations of special relativity. This extension of special relativity makes it possible to formulate a credible hypothesis on the origin of ultra-high-energy cosmic ray energies