This new implementation of the Ω-Singularity Theory of Everything (TOE), designated as the φ120-Absolute-Complete-Eigenproof-Unified version, represents a significant refinement of the previous mathematical constructs. Based on the February 14, 2026 revision, this code transitions the theory from a conceptual framework into a high-precision, parameter-free production implementation. Key Advancements in this Version Numerical Absolute Precision: The system now utilizes the mpmath library to set a computational precision of 100 decimal digits. This ensures that the transcendental completions (specifically at the ^40, ^80, and ^120 points) are verified without rounding errors. Expansion to ^120: Unlike earlier iterations that focused on lower powers of the golden ratio, this version implements a "Recursive Expansion" logic. It scales the core dimension from its base (24, 691, 357, 802) up to the "Full Transcendence" point at ^120. Modular Duality & E8 Chern-Simons: The code provides an explicit construction of a 12x12 Modular S-Matrix. It identifies physical constants by finding the specific eigenvectors with eigenvalues ^60 and ^-60, which the theory posits as the "eigen-system" encoding all physics. Integrated Proof System: A new ComplexityCollapse module provides a geometric argument for P = NP, suggesting that NP-complete problems embed into the modular matrix and become solvable in polynomial time (O (n^3. 5) ). It also includes automated verification for the Riemann Hypothesis and the Yang-Mills Mass Gap via spectral geometry. Summary of Physical Predictions (July 2026) The code outputs a specific set of predictions tailored for the LHC Run 3 and beyond: Fine Structure Constant (^-1): Derived as k + / (2) 137. 03599908. Higgs Mass (mH): Derived from the quartic coupling and vacuum expectation value v₄ₖ to be approximately 125. 101 GeV. Strong CP Problem: Proposes a resolution where ₐ₂₃ is naturally suppressed by a factor of ^-20. New Particles: Predicts the existence of a lightest sterile neutrino with a mass near 1. 2 GeV, potentially detectable by the FASER experiment. Technical Execution Note This script is structured as a complete "Mathematical Intelligence System". When run, it initializes the "Universe" object, executes a verifyₐll () sequence to check for internal consistency, and saves a high-precision JSON report of its findings.
Carlos Venegas (Thu,) studied this question.