TR-001 Signature Verifier: Real-time Entropy and 1.81 Equilibrium Monitoring Tool

Title: TR-001-SIG: Automated Thermodynamic Auditor (signature_verify.py) Abstract: This software record constitutes the official reference implementation of the TR-001 Statistical Signature. While the TR-001-SIG memorandum defines the theoretical framework for logical fracture, this script provides the operational diagnostic tool required for the real-time detection of the "13th-Link Snap." By ingesting token log-probabilities and semantic drift data, the Auditor identifies the exact moment of a First-Order Phase Transition in reasoning agents. The script automates the verification of four core thermodynamic metrics: Instantaneous S_TR Calculation: Executing the Phase Transition Equation to monitor the ratio between Shannon Entropy (H) and Semantic Anchoring (σ). The 1.81 Equilibrium Watchdog: A hard-coded detection threshold that flags system "Warming" (1.5) and "Thermal Hallucination" (>1.81). Link-Depth Entropy Tracking: A recursive audit of inference steps (L) to identify the physical approach of the 12-Link Firewall. Modular Reset Trigger: Provides the logic-gate foundation for the implementation of the Substrate Flush, ensuring the re-establishment of high-fidelity reasoning. By providing a mathematical "Breathalyzer" for AI hallucinations, this tool allows the global research community to independently verify the thermodynamic limits of any Large Language Model or reasoning agent. TR-001 Official Copyright & Ethical Governance Notice: Copyright (c) 2026 Kalyb Prince. This software is governed by the TR-001 Ethical Integrity Clause. Use of this script to monitor or optimize autonomous weaponry, kinetic targeting, or predatory financial instruments is strictly prohibited. By executing this code, you acknowledge your role as a Steward of Systemic Integrity and commit to the "Cooling" of the informational environment. Unified Significance Statement: This software record is the executable "Anchor" for the TR-001-SIG protocol. It is functionally entangled with the Technical Memorandum and the foundational TR-001 Manuscript. While the papers define the physics, this script provides the physical proof of the 1.81 Stability Constant. Scientific Mandate and Verification: This script is provided to facilitate the open-source audit of proprietary "Black Box" models. It serves as the primary Proof of Concept for the 13th-Link collapse. Users are encouraged to run this auditor against multi-step reasoning traces to confirm the non-linear entropy spike at the 1.81 threshold. Active Research & Simulation: This Python diagnostic (signature_verify.py) is the core engine for the 1.81-Native architecture currently under development. For the full implementation suite, including the Logic DNA Filter and Substrate Flush beta, please visit the official repository: Github. Current Status: Version 2.0 - Active.