NATIVE SUPERGRAVITY ON THE T^6/Z_3 ORBIFOLD: 36-Cycle Topological Gauge-Fixing, Native N=1 SUGRA Dynamics, and Moduli Reduction to the (tau_b, tau_s) Vacuum State

Abstract

We present the native construction of N=1 Supergravity (SUGRA) embedded directly within the compactified T^6/Z_3 orbifold geometry. Building upon our previous work on analytic moduli stabilization, we demonstrate how the explicit 36-cycle homology of the T^6/Z_3 discrete lattice provides a native, non-perturbative UV/IR gauge-fixing mechanism for 10D/11D SUGRA action down to 4D Minkowski spacetime M_4. By applying the Law of Minimal Action (L_MA) and the Principle of Maximal Coherence (C_MAX), we prove that the flux quantization across the 36 cycles uniquely determines the native Kaehler potential K and superpotential W without ad-hoc parameter tuning. Furthermore, we construct an explicit mapping chapter reducing the full 36-cycle topological tensor manifold into the effective two-moduli sector (tau_b, tau_s), establishing the exact field-theoretic vacuum needed for physical applications, including SiC-SUGRA semiconductor microchip architectures. This document serves as Version 1.0 (v1.0) prior to formal institutional audit.