The Physical Time Medium (PTM): A Canonical Reduction of Physical Time as the Underlying Medium of Gravitation, Relativity, and Quantum Structure

Canonical NoticeThis work constitutes the canonical and authoritative formulation of the Physical Time Medium (PTM) framework. It consolidates, refines, and supersedes earlier exploratory and developmental PTM publications by the author. All prior PTM works should be considered preliminary relative to this record. Licensing NoticeThis work is made freely available for non-commercial research, education, and scholarly use. Commercial reproduction, redistribution, or monetization requires explicit permission from the author. PTM replaces spacetime curvature with gradients in time-density, yielding a unified and physically grounded description of gravitational attraction, light deflection, and temporal dilation without invoking geometric deformation of space. The framework is reduced to a minimal set of invariant equations, including the identification of the fundamental constant k = -1, with physically motivated dissipation accounted for at the dynamical level. This record consolidates and supersedes earlier exploratory PTM publications, serving as the authoritative reference for the theory’s definitions, assumptions, and mathematical structure. The work is intended as a foundational contribution to physics and the philosophy of physical time.