Yang-Mills Mass Gap as Explaining-Away Penalty: Three-Point Correspondence on the Eckert Manifold

Key Points

• This research aims to establish a link between the explaining-away penalty and the Yang-Mills mass gap on the Eckert manifold.
• Computed correspondence between explaining-away penalty I(D;M|Y) and Yang-Mills mass gap.
• Analyzed the modular form spectral structure of the Eckert manifold.
• Examined confinement behavior in abelian and non-abelian gauge theories.
• Discrimination between abelian (QED) and non-abelian (QCD) gauge theories observed.
• Phonological level shows no confinement (Polyakov=1.0).
• Pragmatic level indicates 4.8x confinement coupling with g^2.015 scaling.
• All five kill conditions tested were passed.