Phase-Indexed Frequency Manifestation in Extended Classical Mechanics: Emergence of Time, Energy, Mass, Gravity, and Velocity Stabilization

Extended Classical Mechanics (ECM) reformulates physical reality as a discrete phase-indexed manifestation of primordial frequency potential. Rather than assuming spacetime, relativistic mass–energy equivalence, or predefined propagation limits, ECM derives time, space, energy, matter, gravitation, and velocity stabilization from a single unified manifestation cascade. Physical time emerges directly from fractional phase realization of stabilized frequency, while potential energy forms as stored manifested frequency. Dynamic conversion of this potential produces kinetic energy and matter (ΔMᴍ), whereas the unmanifested residual acts as effective gravitational mass (Mᵉᶠᶠ = Mɢ). Dark components arise naturally as manifestation deficits without invoking exotic substances. The propagation velocity follows directly from phase-indexed wavelength and emergent time, yielding a natural super-phase regime at early manifestation and deterministic convergence toward the equilibrium constant c = ℓᴘ fᴘ without postulation. This mechanism predicts early superluminal expansion as a manifestation process rather than spacetime inflation. Continued manifestation depletes the gravitational potential reservoir, producing a finite termination scale rₘₐₓ beyond which bound structures cannot persist, corresponding observationally to the zero-gravity radius of galaxy systems. ECM therefore provides a singularity-free, conservation-governed foundation in which time, mass, gravity, cosmic expansion, and velocity limits emerge coherently from phase-indexed frequency manifestation.