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May 1, 2026Open Access

Yang--Mills Existence and Mass Gap via Mock Modular K₈.: Paper XVII in MEF Series

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DMDhiren Jashwant MASTER

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Overview

Randomized trial demonstrates mass gap in pure SU(3) Yang-Mills, suggesting rigorous foundational insights into gauge theories.

Key Points

  • The aim is to prove the existence of a mass gap for SU(3) Yang-Mills theory, addressing a Millennium Prize Problem.
  • Construct 4D Euclidean theory from a 12D geometry K_8 using unique Kaluza-Klein reduction.
  • Verify Osterwalder--Schrader axioms for 12D theory and analyze BRST cohomology to identify nilpotent operators.
  • Establish mass gap through two independent routes focusing on topological rigidity and geodesic properties on K_8.
  • Demonstrated that the 4D theory maintains a positive mass gap Δ > 0 with zero tunable parameters and massless states excluded.
  • Confirmed results through both the α-theorem and geometrical insights on K_8.
  • Verified the connection between compact geometry and reflection-positive QFT on R^4.

Cite This Study

Dhiren Jashwant MASTER (2026) studied this question.

synapsesocial.com/papers/69f44420967e944ac55671c3https://doi.org/10.5281/zenodo.19830952
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