CSF-CMT vΩ.22.6: Time as Ontologically Redundant — The Sufficiency of Pure Spatial Curvature

Abstract

Building upon the time–space separation axiom of vΩ.22.5, we prove that time is not merely a coarse-graining index but is ontologically redundant . We demonstrate that the entire physical content of General Relativity—metric signature, Einstein field equations, geodesic dynamics, and cosmological expansion—can be reconstructed without invoking time as a fundamental dimension, using only the first-space string-empowerment gradient fields \nabla_{\mathrm{CG}}^{A} and the coarse-graining layer parameter L_{c}. We present the triple illusion mechanism by which GR embeds time into its mathematical structure, provide the explicit de-temporalization operator \hat{\mathcal{D}}_{T} that removes time from GR while preserving all observational predictions, and derive the cognitive holography thesis explaining why temporal experience appears indispensable to embodied observers. Five formal theorems and the complete de-temporalized Lagrangian are given.