# Ontology of the Theory of Relativity

## TL;DR

This paper develops formal methods to define and analyze the ontological foundations of relativistic and Newtonian mechanics, clarifying their conceptual consistency and underlying assumptions.

## Contribution

It introduces a formal framework for the ontology of mechanical theories, with a focus on relativistic physics, and establishes conditions for ontological consistency across different theories.

## Key findings

- Ontological consistency conditions are formulated.
- Consistency tests applied to Newtonian, special, and general relativity.
- Framework clarifies foundational assumptions in physics theories.

## Abstract

Both relativistic mechanics and Newtonian mechanics are based on principles that have ontological implications. We propose a series of formalisms that rigorously define the ontology underlying mechanical theories, in order to clarify and formally establish the ontology of the physics of motion. Special attention has been paid to relativistic theories. Through the proposed methodology, the concept of ontological consistency is developed and the conditions required for such consistency to be satisfied in any theory are established. In particular, the consistency test is performed for Newtonian mechanics, special relativity theory, and general relativity theory.