  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.
