Strong CP as Illicit Phase Realism

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Authors: Amos Maley
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Abstract

This paper establishes that the strong CP problem arises from an illicit ontological commitment to phase realism. It proves that treating certain phase parameters as physically real—rather than as representational artifacts constrained by admissible reference—constitutes a violation of admissibility and standing, and that the apparent “problem” is generated entirely by this illegitimate move. The result is eliminative. The paper does not propose a new symmetry, a dynamical mechanism, or a solution within quantum chromodynamics. Instead, it shows that once phase reference is treated admissibly—without reifying gauge- or representation-dependent phases as ontic features—the strong CP problem dissolves rather than being solved. The analysis blocks a broad class of approaches that attempt to explain the absence of CP violation via new particles, fine-tuning arguments, or symmetry-restoring mechanisms. It demonstrates that these approaches implicitly assume phase realism and then attempt to repair the consequences of that assumption, rather than questioning its admissibility. This work is purely boundary-setting. It introduces no new primitives, no alternative dynamics, and no operational criteria. Its contribution is to clarify that the strong CP problem is not a physical mystery requiring explanation, but a classification error arising from an inadmissible ontological commitment to phase structure.

Fields of Study & Subjects

Particle physics theoretical and experimental studies Quantum Chromodynamics and Particle Interactions Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 February 2026