On the Problem of Extended Special Relativity Creation

TL;DR

This paper develops a variant of Extended Special Relativity incorporating Planck-scale invariants, proposing a vacuum model with a maximum velocity to eliminate unphysical predictions and linking fundamental constants to the medium's structure.

Contribution

It introduces a new model of Extended Special Relativity that includes Planck parameters and a vacuum medium with relativistically invariant rest, addressing unphysical predictions.

Findings

Inclusion of Planck quantities as fundamental constants.

A model of vacuum with relativistically invariant rest.

Possibility to exclude unphysical predictions.

Abstract

This paper presents an approach to the creation of a variant of Extended Special Relativity that takes into consideration the existence of limiting relativistically invariant quantities (Planck parameters). It shows the possibility of excluding unphysical predictions of relativity theories thanks to the use of the concept of the maximum velocity of the observed motion of objects. It proposes a model of a vacuum-like medium with a kinematical property of relativistically invariant rest. The Planck quantities are considered as fundamental physical constants related to the structure of this medium.