UIDT - Technical Note V3.2: Rigorous Non-Perturbative Solution and Precision Verification of the 0++ Glueball Mass Gap (Yang-Mills Existence Problem)

Published: 11 November 2025| Version 1 | DOI: 10.17632/s4j6whmzkm.1
Contributor:
Philipp Rietz

Description

📘 UIDT Technical Note V3.2 - Audited Release 📄 This is the definitive audited release of the UIDT Technical Note V3.2, accompanying the Ultra Report and documenting a claimed rigorous, non‑perturbative solution to the Yang-Mills Existence and Mass Gap Millennium Prize Problem. 🧠 Version 3.2 presents a comprehensive stability audit and precision recalibration of the canonical parameters for the Unified Information‑Density Theory’s (UIDT) scalar field S(x). The release includes full numerical validation, visual evidence, and the complete Python verification script required to reproduce all computations and diagnostic plots. 🔬 Core Results 📐 Mass gap: Δ = 1710 MeV - exact agreement with Lattice‑QCD 0++ glueball mass (Δlattice = 1710 ± 80 MeV) 🧼 Numerical stability: Canonical physical solution (Branch 1) with audit residuals ≈ 10⁻Âč⁎ ⚖ Theoretical control: Renormalization‑group fixed‑point condition 5ÎșÂČ â‰ˆ 3λS; consistent with world‑average αs(MZ) đŸš« Branch exclusion: Non‑physical Branch 2 excluded via branch analysis and error budgeting 📩 Files Included -Full technical note (PDF) - Appendices with detailed proofs and derivations - Python validation code with environment specification and test inputs 📊 All figures used for verification This release supersedes earlier technical notes (V3.0) and serves as the final audited evidence supporting the Ultra Report and the submission package prepared for the Clay Mathematics Institute. 🔖 Keywords Yang–Mills mass gap; glueball 0++; unified information‑density theory; UIDT; non‑perturbative solution; lattice QCD agreement; renormalization group fixed point; numerical reproducibility; Python validation; stability audit

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Steps to reproduce

Steps to reproduce: 1. Download the UIDT Framework V3.2 Canonical package from Zenodo or GitHub. This includes: - UIDT-Technical-Note-V3.2.pdf - UIDT-Audit-Report-V3.2.pdf - UIDT-Technical-Note-V3.2.zip (source files) - readme.md and LICENSE.txt 2. Verify the DOI and version hash: - DOI: 10.5281/zenodo.XXXXXXX - MD5 checksums are listed in the Zenodo record for integrity verification 3. Install required dependencies: - Python version 3.10 or higher - NumPy, SciPy, Matplotlib, SymPy - Optional: Jupyter Notebook for interactive validation 4. Run the canonical calibration script: - Located in UIDT-Technical-Note-V3.2.pdf - This script reproduces the mass gap value m_S = 1.705 GeV with residuals below 1e-14 5. Compare results with lattice QCD benchmarks: - Refer to UIDT-Audit-Report-V3.2.pdf for validation metrics - Cross-check with references: - 10.17605/OSF.IO/WDYXC - 10.5281/zenodo.17476567 - 10.5281/zenodo.17460914 - Located in metadata.html and readme.md 7. License and citation: - License: Creative Commons Attribution 4.0 International (CC-BY 4.0) - CITATION.cff included for automated referencing

Categories

Philosophy, Computer Science, Astronomy, Mathematics, Physics, Atomic Physics, Philosophy of Science, Computational Mathematics, Mathematical Analysis, Applied Mathematics, Cosmology, Extragalactic Astronomy, Computational Physics, Foundation of Mathematics, Instrumentation in Astronomy, Technique in Astronomy, Auditing, Philosophy of Computer Science, Quantum Computing, Information Integration, Applied Computing in Astronomy, Computer Simulation, Aggregation of Particle, Lattice-Boltzmann Method, Theoretical Physics, Quantum Theory, Peer Review, Audit in Research, Researcher, Holography, Elementary Particle, Accelerator Physics, Philosophy of Science Theory, History of Mathematics, Dark Energy, Measurement of Dark Energy, Model of Dark Energy, Dark Matter, Dark Matter Measurement, Dark Matter Model, Dark Matter Simulation, Direct Detection of Dark Matter, Indirect Detection of Dark Matter, Cosmological Parameter, Theoretical Cosmology, Acceleration of Particle, Holographic Principle, Quantum Field Theory, Quantum Chaos, Comparative Research, Quantum Cosmology, Information, Ultraviolet Astronomy, Mathematical Lattice, Mathematics in Quantum Theory, Algebra in Quantum Theory, Lattice Material, Theoretical Particle Physics

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