A First-Principles Derivation of Physics from Unconstrained Motion: Toward a Unified Framework with Zero Prior Structure

This work presents a unified theoretical framework in which key structures of modern physics emerge from a single minimal axiom: the existence of motion without prior structure. Beginning from this starting point, the paper derives a fundamental dynamical equation and develops its consequences across multiple domains of physics. The framework provides explicit mathematical connections to quantum mechanics, spacetime structure, gauge symmetries, and gravitation, while proposing testable predictions related to cosmology and particle physics. Particular emphasis is placed on logical minimality, internal consistency, and the systematic elimination of prior assumptions. Open questions and limitations are discussed to clarify the current scope of the framework and to identify directions for future investigation. This archive is intended as a permanent, citable record of the theory in its present form.