Tolog-Alpha EFT v2.0 & TVM-E1: Complete Analytical Framework, Reproducibility Package, and Failsafe Numerical Engine

Detailed Description / Abstract: This repository contains the complete master analytical files, reproducibility packages, reference numerical engines, and downstream interface baselines for the Tolog-Alpha Effective Field Theory (EFT) v2.0 framework and the TVM-E1 controlled-response architecture. Comprehensive Breakdown of Uploaded Assets: Tolog-Alpha EFT v2.0 (Master Analytical File): Establishes the core theoretical framework utilizing a variational approach. Implements the Brown fluid formalism incorporating a densitized particle current (J^\mu). Formulates the scalar sector with non-minimal curvature coupling (\xi) and defines saturation sector invariants (S). Provides rigorous covariant conservation proofs, Bianchi identity audits, and FLRW cosmological reductions. Reproducibility Package v1.2: Contains discrete synthetic numerical diagnostics executed on a periodic lattice. Demonstrates stable-run baseline outputs alongside admissibility threshold-failure checks. Features automated JSON and CSV logging protocols for verification of physical constraints. TVM-E1 Technical Baseline v1.0 (Developed in collaboration with Anthony Barlow): Establishes the downstream controlled-response interface over parent structural components. Proves rigorous operator norm bounds and trace-class compatibility for signal-to-noise suppression. Reference Numerical Engine (v1.4.1-redtest): An executable Python core utilizing Dormand-Prince numerical integration (RK45). Evaluates multi-seed validation profiles under dynamic stress-testing parameters. Implements automated hard-shutdown override safety gates (\Delta_A > \delta_{\min}) to manage critical density breaches and maintain system stability. Current Project Status: The analytical phase is fully finalized, multi-seed verified, and numerically benchmarked under synthetic test loads, establishing a reproducible baseline for future empirical implementations.