From topology to first principles.

Yang-Mills Existence and Mass Gap via the Spectral Operator Framework — Tr(J_SU(3)) = 24 = Omega

The W(3,3)-E6 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters

Unified Information-Density Theory v3.9 - Vacuum Information Density as the Fundamental Geometric Scalar: A Proposed Theoretical Framework for the Yang-Mills Mass Gap and Gamma-Scaling Unification

⚠️ DEPRECATED - This repository has been superseded by v3.7.2.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.

OPEN PROBLEMS WANT TO STAY OPEN

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.

A rigorous Lean 4 formalization aiming to computationally verify the unconditional proof of the Yang-Mills mass gap (a Clay Millennium Prize Problem) using the Balaban Renormalization Group.

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.

Supports Information Dynamics framework unifying strong and weak forces. Extraction of information purity p_ID from four particle physics experiments: hyperon decay, reactor neutrino oscillation, X17 resonance, and muon g-2.

Study and verify the U24 Yang-Mills mass gap with open data, code, and tests for coupling spectra, Wilson loops, and bounds

Experimental computational framework and artifact lab with explicit non-claim boundaries

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

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