The W(3,3)-E8 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters

Unified Information-Density Theory v3.9 - Clay Mathematics Institute Yang-Mills Mass Gap submission with complete verification suite

⚠️ DEPRECATED - This repository has been superseded by v3.7.2. New location: https://github.com/Mass-Gap/UIDT-Framework-v3.7.2-Canonical | DOI: 10.5281/zenodo.17835200

This paper investigates the ”double field theory” (DFT) and the connection to the double copy method that shows that gauge & gravity theories are remarkably similar at the quantum level.

The central research hub for the VYTYLS Initiative. Hosting the Field of Consciousness (FoC) Lattice Gauge Theory, the Reality Fold Notation (RFN) and Modal Layer Tiers (MLT) methodology, and the Cybernetic Acoustic Research of the VYTYLS duo.

Executable Hilbert–Schmidt certificates establishing a Yang–Mills mass gap via operator coercivity transfer, with CI-enforced monotonicity and frozen artifacts.

Experimental extensions of the Yang–Mills spectral wall: non-radial modes, higher k, and alternate discretizations.

Lean 4 formalization of the Yang-Mills mass gap — 8191 jobs, 0 errors, 0 sorrys. Machine-checked proof chain to ClayYangMillsTheorem across 7 phases.

Unified Rigidity Framework Textbook — Formal LaTeX/HTML/PDF build + release artifacts

Unified experimental framework for computational exploration of the Clay Millennium Problems with reproducible pipelines and modular research infrastructure.

YM–OS Quantization: tools and documentation for quantization protocols in Yang–Mills effective models.

A minimal reductio argument identifying a logical tension in the standard formulation of the Yang–Mills mass gap problem.

🌀 Explore the intersection of consciousness and reality, challenging conventional views and uncovering the essence of our existence through the Vytyls Initiative.

🔍 Verify and certify analytic bounds related to the Yang–Mills mass gap problem using reproducible computer-assisted scripts.