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Triple-Coherence Holonomy Architecture

Authors: Arneth, Borros;

Triple-Coherence Holonomy Architecture

Abstract

We propose a structural interpretation of confined Yang–Mills systems based on a Triple-Coherence architecture consisting of state spaces, transport cycles, feedback loops, and stored energy. The framework originates from a mechanical clockwork analogy in which discrete state rings, transport mechanisms, and recursive feedback structures cooperate to generate stable energy-storage configurations. We argue that the same architecture naturally appears in non-Abelian gauge theories. In this interpretation, color degrees of freedom correspond to a discrete state sector, gauge connections define transport, Wilson-loop holonomies represent closed transport cycles, and gluon self-interactions generate feedback. Confinement closes the transport structure into a self-consistent energy-storage system. We further introduce a complex MQ plane defined by the operator Z=M+iQ, where mass and charge are interpreted as projections of an underlying holonomy norm. The resulting framework suggests that hadronic states may be viewed as discrete holonomy classes of confined Yang–Mills transport structures. The approach does not replace Quantum Chromodynamics but proposes a complementary structural layer describing how quark–gluon dynamics organizes itself into stable energy-storage architectures

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