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Towards a discrete cosmology. Paper 14/17. Special relativity and discreteness.

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Cosmology

Language:

English

Date Published:

March 14, 2025

File:

/Research Papers-Cosmology/Download/9478

Downloads:

174

Keywords:

special relativity, Lorentz factor, discrete space and time, Discrete Pythagoras Theorem

Abstract:

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.