Faster-than-Light Phase Propagation, the Fate of a Cyclic Universe, and the Emergent Luminal Boundary in Extended Classical Mechanics

This work develops a unified cosmological and dynamical extension of Extended Classical Mechanics (ECM), demonstrating that the conventional speed of light (c) emerges not as an absolute universal limit, but as a stable manifestation boundary associated with the Planck-scale wavelength constraint (λ ≥ ℓᴘ) within the manifested physical regime.

Within this framework, the luminal limit remains preserved under ordinary gravitationally bound conditions, where manifested matter mass dominates negative apparent mass. However, when the system transitions into a phase-dominated anti-gravitational regime, characterized by |Mᵃᵖᵖ| ≫ Mᴍ, the manifestation boundary weakens, permitting sub-Planckian wavelength contraction (λ < ℓᴘ) and enabling superluminal phase propagation (vₚₕₐₛₑ > c). This superluminality is interpreted not as a violation of known physics, but as a natural consequence of transition into an un-manifest phase regime where ordinary spacetime ceases to remain fundamental.

The same formalism is shown to govern temporal emergence. Time is reinterpreted in ECM as an emergent consequence of phase-frequency transformation, distinguishing idealized clock time, event-driven cosmic time, and entropy-induced temporal distortion. This leads to a generalized concept of time distortion distinct from conventional relativistic time dilation.

When extended cosmologically, ECM predicts a cyclic universe in which terminal cosmic evolution proceeds toward phase-dominated un-manifestation rather than thermal termination or infinite wavelength expansion. In this limit, the universe undergoes frequency-state reorganization, enabling re-manifestation and thereby providing a natural cyclic cosmology.

This yields a structurally comparable but physically distinct alternative to Conformal Cyclic Cosmology (CCC), replacing conformal geometric continuity with phase-frequency continuity. ECM therefore provides a unified framework linking superluminal phase behavior, emergent time, and the cyclic fate of the universe within a single physical formalism.