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February 2, 20260 citationsOpen Access

Resolving the Yang–Mills Mass Gap Through Quantized Decoherence

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JMJ. M. MahoneyUniversity of Hawaiʻi at Mānoa

Key Points

  • This research aims to resolve the Yang-Mills mass gap by proposing a physical mechanism rooted in quantized decoherence.
  • Proposed a mechanism based on quantized decoherence transitioning from a zero-dimensional domain into spacetime.
  • Derived the mass gap and confinement from first principles without fitting parameters.
  • Demonstrated physical interpretations for each Wightman axiom within the presented framework.
  • Established a minimum energy requirement for stable projections from zero-dimensional domain.
  • Demonstrated that Δ = Λ_QCD ≈ 200 MeV is derived from the proposed framework.
  • Verified that no parameters were fitted, matching observational data.
  • Confirmed the lower mass bound for glueballs as required by the Clay problem.

Abstract

The Yang-Mills mass gap has resisted resolution for 70 years. This paper proposes that the obstacle is not mathematical but ontological - and offers a physical mechanism that derives the mass gap from first principles. We show that quantized decoherence - information unfolding from a zero-spatial-dimension domain (X0) into spacetime at rate κ = ℏ/tPlanck = EPlanck - produces both the mass gap and confinement as necessary consequences. The result: Δ = ΛQCD ≈ 200 MeV Derived. Matching observation. No parameters fitted. Existence (Wightman axioms): We demonstrate that each Wightman axiom has a natural physical interpretation within our framework, and that projection dynamics from X0 satisfy the physical content of each requirement. Glueball mass bound: All stable projections from X0 require minimum energy Δ. Glueballs, as self-bound information structures, cannot be arbitrarily light. This establishes the lower mass bound required by the Clay problem. We submit this as a complete physical resolution of the Yang-Mills existence and mass gap problem. The mechanism is falsifiable, the derivation is transparent, and no parameters are fitted.

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Cite This Study

J. M. Mahoney (2026) studied this question.

synapsesocial.com/papers/69810006c1c9540dea813010https://doi.org/10.5281/zenodo.18446221
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Also Consider

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  1. 1Geometric Explanation of the Yang-Mills Mass Gap — A Solution from the Order Parameter Spacetime Theory2026
  2. 2Reexamining the Yang–Mills Mass Gap Problem: A Constructive Approach via Open Quantum Systems and Quantum Corral Confinement2026
  3. 3The Yang-Mills Mass Gap as a Topological Consequence of Finite Universe Geometry2026
  4. 4A Solution to the Yang-Mills Mass Gap Millennium Problem2025
  5. 5Darkon-Yang-Mills Theory and the Generative Torsion Solution to the Yang-Mills Mass Gap (∆ > 0)2026