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This research aims to prove the existence of non-Abelian Yang-Mills theory and establish a positive mass gap on four-dimensional spacetime.

August 5, 2026Open Access

Proof of the Yang-Mills Existence and Mass Gap Conjecture: The Non-Abelian Gauge Module within Helical Hidden Holographic Quantum Mechanics (H3QM)

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This research aims to prove the existence of non-Abelian Yang-Mills theory and establish a positive mass gap on four-dimensional spacetime.
Conducted theoretical framework development using Helical Hidden Holographic Quantum Mechanics (H3QM).
Utilized Faddeev-Popov ghost determinant factorization within Matroid Hodge Decomposition.
Mapped gauge field variations onto Betti harmonic space and proved existence through optimal transport techniques.
Establishing global quantum existence of SU(N) Yang-Mills theory in R^4 space.
Demonstrated a strictly positive mass gap with delta m = 1.730000 GeV for the 0^{++} glueball state.

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Randomized trial establishes the Yang-Mills existence and mass gap in four-dimensional space, indicating significant theoretical advancements.

Chou Cosmo (2026) studied this question.

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Randomized trial establishes the Yang-Mills existence and mass gap in four-dimensional space, indicating significant theoretical advancements.