Geometry as Representation: A Temporal-Rate Ontology for Relativity and Quantum Theory

Key Points

• The paper aims to reinterpret spacetime geometry as representational and to clarify the conceptual foundations of relativity and quantum theory.
• Developed an axiomatic framework with temporal rate as a primitive concept.
• Examined spacetime geometry as an emergent structure rather than fundamental.
• Did not introduce new dynamics but preserved the content of existing theories.
• Provided a clearer conceptual foundation for general relativity and quantum theory.
• Showed that geometric structures can emerge from compatibility relations.
• Maintained empirical consistency with existing theoretical frameworks.

Abstract