What question did this study set out to answer?

The aim is to develop a conjectural framework linking the Yang-Mills mass gap to the regulated stability principle.

April 16, 2026Open Access

The α<1 Mass Gap Framework - A Conjectural Framework Connecting the Yang-Mills Mass Gap to the General Theory of Regulated Stability

Key Points

The aim is to develop a conjectural framework linking the Yang-Mills mass gap to the regulated stability principle.
Introduced the α<1 variational principle
Connected this principle to the Yang-Mills mass gap
Integrated concepts of regulated existence and Gribov horizon exclusion
AI evaluations rated the framework between 90-92/100 as a rigorous conjecture
Identified a significant connection between mass gap and stability
Suggests new avenues for further research despite lacking a complete proof

Abstract

AbstractThis document presents a conjectural framework for understanding the Yang-Mills mass gap throughthe lens of the α<1 variational principle derived from the General Theory of Regulated Stability (GTRS).We propose that the mass gap arises not as a dynamical accident but as the constitutive cost ofregulated existence: physical states cannot occupy the symmetric vacuum (F = 0) because perfectequilibrium (α = 1) is ontologically forbidden. The framework connects the α<1 constraint to Gribovhorizon exclusion, offering a novel path to the spectral gap. Three independent AI evaluations (Kimi,DeepSeek, Grok) score this framework 90-92/100 as a rigorous conjecture, identifying it as aproductive reformulation that opens new research directions without yet constituting a complete proof.

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