December 30, 2023
special relativity, Lorentz factor, discrete space and time, Discrete Pythagoras Theorem
Leaving aside the fact that special relativity is a theory built on the infinitist spacetime continuum, and that this spacetime continuum is inconsistent (see paper 3 of this series), here it will be proved that special relativity is not compatible with discrete space and time. Therefore, the relativistic inertial length contractions and inertial time dilations could be only apparent, as is apparent the continuous motion in a film, or the refractive deformations; or even motion in a discrete universe. It also happens that the relativistic Lorentz factor, which is crucial in the Lorentz Transformation, coincides with the conversion factor between the continuous and the discrete versions of Pythagoras Theorem.