A Unified Framework Connecting Manifestation, Dissolution, Photon Dynamics, and Gravitational Structure in ECM

Extended Classical Mechanics (ECM) is presented as a structurally coherent, scale-invariant framework that seeks to unify manifestation, dissolution, photon dynamics, gravitation, and cosmological evolution through a single universal constraint: Mᵃᵖᵖ ≡ −ΔPEᴇᴄᴍ. Within ECM, negative apparent mass (NAM) is interpreted not as an independently existing physical mass, but as a mass-equivalent bookkeeping representation of a displaced potential-energy deficit. This interpretation enables a common description of manifested matter, effective mass, gravitational behaviour, electromagnetic propagation, and cosmological phase transitions. The framework employs the manifestation relation ΔPEᴇᴄᴍ ↔ ΔKEᴇᴄᴍ ↔ ΔMᴍ to describe the emergence of observable matter and kinetic phenomena from latent primordial potential states. Dissolution is treated as the reverse process, whereby manifested structures progressively return to the primordial frequency reservoir through accumulated apparent-mass history, producing a cyclic cosmological architecture. Photon behaviour is reinterpreted within ECM through the conversion of matter mass into apparent-mass contributions, leading to an effective-mass formulation capable of describing gravitational redshift, source-boundary transitions, and anti-gravitational propagation. The same mechanism is proposed to operate continuously across sub-atomic, atomic, astrophysical, and cosmological scales, extending from local gravitational termination radii to a universal phase-transition boundary associated with the transition between manifested and latent or phase states. The present work consolidates manifestation theory, dissolution dynamics, frequency hierarchy, photon interpretation, and gravitational structure into a single conceptual framework and evaluates their mutual compatibility through a structural coherence analysis. The resulting formulation is presented as an internally self-consistent ECM architecture intended to provide an explicit mechanistic alternative for investigating matter formation, gravitation, cosmological evolution, and cyclic universal scenarios.