On the formal statement of the special principle of relativity

TL;DR

This paper develops a mathematical formalism to clarify and deepen the understanding of the special principle of relativity in its most general form.

Contribution

It introduces a formal framework that clarifies the conceptual foundations of the special principle of relativity.

Findings

A rigorous formalization of the principle.

Enhanced conceptual clarity of relativity.

Framework applicable to broader contexts.

Abstract

The aim of the paper is to develop a proper mathematical formalism which can help to clarify the necessary conceptual plugins to the special principle of relativity and leads to a deeper understanding of the principle in its widest generality.