Temporal-Gradient Closure in the Enchan Field: A Common Origin for Gravitational Acceleration and Finite-Tension Response

Abstract

Geometric field dynamics and conserved field flux are primary; mass is a downstream readout or participant, not a necessary origin of the Enchan gravitational field. Version 1.1 derives r^2 mu Sprime=C, g_C=c^2 abs(C)/r^2 and g^2=g_C^2+a0 g_C before introducing M_equiv=c^2 abs(C)/G. The gradient identity sqrt(X)=abs(g)/a0 and the inherited quadrature kinetic vessel are unchanged. The Newtonian acceleration-inferred mass is distinguished from flux-equivalent mass. The revision traces prior matter-free field formation, CMB-scale persistence, 3D morphology, galactic response, screened recovery, frozen wide-binary predictions and the downstream Gaia comparison, and the prospectively frozen isolated orbit. Their original domains and distinct effective kinetic branches are retained. TG0–TG4 retain their results. New TG5 independently solves 723 radial flux points using no G or mass input, with maximum relative flux error 6.35e-16 and closure error 7.72e-16. This is a finite-annulus field/boundary audit, not a global formation or observational simulation. PDF, standalone reproducibility ZIP, LICENSE and README. Default preview main.pdf. Enchan Research & Verification License v1.0. Copyright (c) 2026 Mitsuhiro Kobayashi.