Extended Classical Mechanics (ECM): A Dual-Domain Conservation Framework for the Emergence of Mass, Gravitation, Light-Speed Invariance, and Cosmic Time

Extended Classical Mechanics (ECM) proposes a dual-domain conservation framework grounded in the invariance of total phase-content. All observable structure emerges through redistribution between frequency and mass domains, without invoking external creation or ontological discontinuity. The framework establishes five foundational axioms: (1) conservation of total phase–mass content, (2) emergent propagation constraint yielding light-speed invariance, (3) apparent mass gradients as the origin of gravitation, (4) entropic redistribution as the generator of cosmic time, and (5) global latent depletion as the cosmological termination condition. ECM presents gravitation, light-speed invariance, and temporal direction not as independent postulates, but as structural consequences of conserved phase redistribution. The theory aims to provide a unified classical foundation for mass manifestation, dynamical geometry, and cosmological evolution. Keywords: Extended Classical Mechanics, phase-content conservation, dual-domain framework, apparent mass, gravitation emergence, light-speed invariance, cosmic time, entropic redistribution, cosmological termination.