Chronoscalar Field Theory XX: Locality, Causality, and the Quantum Path Integral as Projections of the Permanent Cosmological Gradient

Abstract

Chronoscalar Field Theory (CFT) has established that a single irreversible Machian displacement of the primordial scalar condensate T(xμ) created the permanent spatial gradient ∇T that gives rise to the arrow of time, inertia, gravitation, entanglement geometry, and the entire electroweak structure. The purpose of Paper XX is to demonstrate that quantum mechanics itself—specifically the path-integral, the Born rule, phase accumulation, and even the notion of locality—arises as a projection of chronoscalar geometry onto the induced metric manifold. We prove that the Feynman path integral is the metric-shadow of a deeper chronoscalar action ST = R (∂T)2, that classical trajectories are geodesics of the chronoscalar cone ds2 T = 0, that phase interference is the transverse winding of δT⊥, and that quantum nonlocality emerges from the instantaneous transport of phase along Gabriel Corridors. In this framework the Planck constant ℏ is not fundamental but an effective scale relating chronoscalar curvature to transverse excitations. From this we obtain a unified origin for classical mechanics, quantum mechanics, gravitation, and causal structure from a single entity: the permanent chronoscalar gradient created at the origin of the Universe.

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