The Universal Torsion Density: A Geometric Resolution of the Yang-Mills Mass Gap via Information Theory
Taylor, Brian Cameron · PhilPapers (PhilPapers Foundation)
The existence of a mass gap in non-Abelian gauge theories, specifically Yang-Mills theory, remains a central unsolved problem in mathematical physics. We propose a resolution rooted in Information Theory and the principles of Informational Platonism and Geometricity. We posit that physical laws are emergent properties of an underlying geometric information structure. Within this framework, we utilize the Unified Torsion Operator (UTO) to demonstrate that vacuum stability is a geometric necessity. We derive the dimensionless stability constant G_{canon} \equiv 1.875 as the necessary ratio between the degrees of freedom of the Conformal Group SO(2,4) and the gauge group SU(3). By calibrating the Torsion Energy Density K against the empirical mass of the scalar glueball candidate f_0(1710), we derive a Universal Torsion Density of K \approx 6.27 \times 10^6 \text{ MeV}^2. This unifies the microscopic Mass Gap with the macroscopic Cosmic Microwave Background anisotropy, validating the informational geometric foundation of physical reality.