Temporal Rate Matrix / Temporal Quantum Matrix (TRM/TQM) V3.0: A Tested-Effective Weak-Field Transport and Synchronization Framework

This work presents Version 3.0 of the Temporal Rate Matrix / Temporal Quantum Matrix (TRM/TQM) framework as a review baseline for a tested-effective weak-field transport and synchronization model. Compared with Version 2.2, V3.0 substantially restructures and hardens the framework. The model is no longer presented as a purely scalar-field cosmology, but as a multi-sector effective framework consisting of: - a scalar transport sector for photon transport, memory-channel dynamics, and EL/Fermat bridge behavior, - a vector rotational sector for weak-field frame-dragging / Lense–Thirring-like candidate behavior, - a nonlocal Theta-observable sector for the chain Θ → O5 → λΘ → g_obs, - and a unified effective-action roadmap linking the scalar, vector, and Theta sectors under limit-preservation guards. The V3.0 release includes extensive C# test-gated validation blocks, including MC09–MC12, RBF21–RBF23, TO/TQK/LC/TOL tests, FD01–FD20, and UF01–UF09. These tests are designed to constrain the framework through reproducible numerical guards, holdout checks, anti-proxy safeguards, weak-field compatibility windows, and cross-sector consistency tests. This release does not claim that TRM/TQM replaces General Relativity. It also does not claim theorem-level first-principles closure. Instead, V3.0 should be understood as a tested-effective, hypothesis-supported review baseline with explicitly documented first-principles gaps. The archived package includes source code, review documentation, theory notes, test classifications, and three accompanying V3.0 paper drafts: - TRM V3.0 Framework Review Baseline - TRM V3.0 Memory and Mode-Locking - TRM V3.0 Theta, Vector, and Unified Action Version lineage: - Version 1: historical prototype. - Version 2.2: previous archived Clockwork Cosmology / scalar TRM baseline. - Version 3.0: current multi-sector review baseline, superseding V2.2 for scientific review purposes. All source files, tests, documentation, and paper drafts are provided to support independent inspection, reproducibility, criticism, and further development. Note on AI Assistance: Generative AI tools, including Microsoft Copilot and other large language models, were used to assist with linguistic refinement, documentation structuring, formatting, and development workflow support. All physical concepts, theoretical responsibility, test design decisions, interpretations, and final claims remain the responsibility of the author.