June 4, 2020
special relativity, refractive index, polar anisotropy, total internal reflection of light
This paper examines some optical properties of isotropic crystals, as well as the critical reflection of light, from the perspective of different inertial reference frames in relative motion. The analysis proves several breaks of Lorentz symmetry in optical crystallography and general optics. It also demonstrates there is no other relativist alternative to Lorentz transformation able to give a solution to the problems posed by Lorentz transformation in the scenario of optics and optical crystallography. The conclusions of the arguments point to the convenience of considering a new discrete paradigm for the spacetime continuum in which this and other problems could find a solution.