RCFS Generation of a CFS Spectral Regime from Geometric Proca Gravity
RCFS Generation of a CFS Spectral Regime from Geometric Proca Gravity Table of Contents 1. Introduction and Claim Boundaries 1.1 Motivation: from substrate dynamics to closed spectral regimes 1.2 What is being generated 1.3 What is verified 1.4 What is not claimed 1.5 Why the result is substantive 1.6 Evidence discipline and audit posture 1.7 Claim statement 2. Discrete GPG Construction 2.1 Substrate, transport, and stiffness 2.2 Discretizing the substrate on a causal hypergraph 2.3 The discrete Proca operator and the viability inequality 2.4 Hodge decomposition as the admissibility test 2.5 Why the construction is forward-model-agnostic but carrier-dependent 2.6 Relation to RCFS generation 2.7 Construction-level claim boundary 3. The Bipartite Carrier G_C 3.1 Why the carrier question is load-bearing 3.2 Definition of the cross-chirality carrier 3.3 Structural invariants of G_C 3.4 The 4-cycle 2-complex 3.5 Chirality, γ-oddness, and why bipartiteness is not incide...