Strong-CP Is No Problem: Why the Strong Force Does Not Violate CP, and No Axion Is Needed

One axiom. One operation. Zero free parameters. The strong force ought to violate CP (a theta-term giving the neutron an electric dipole moment), yet experiment bounds theta below ~10⁻¹⁰ for no apparent reason — the strong-CP problem. Its popular solution, the axion, posits a new particle. This paper forces theta to zero with no axion. There are exactly two distinguished CP positions: the fixed point, the One, where the phase is fold-invariant (alignment, no CP violation); and the self-antipode, the half-One, the unique fold preimage of the One (maximal CP violation). The strong sector sits at the aligned fixed point, so the strong force has no CP violation — theta is not a tiny tuned number but the aligned position itself. The weak sector sits at the antipode (maximal). theta = 0 is forced, not fine-tuned, and the axion is unnecessary. Machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-29
DOI
https://doi.org/10.5281/zenodo.21036670
Primary Topic
Dark Matter and Cosmic Phenomena
Type
article
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article

Strong-CP Is No Problem: Why the Strong Force Does Not Violate CP, and No Axion Is Needed

Maria Smith
Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
article

Strong-CP Is No Problem: Why the Strong Force Does Not Violate CP, and No Axion Is Needed

Maria Smith
article en

Abstract

One axiom. One operation. Zero free parameters. The strong force ought to violate CP (a theta-term giving the neutron an electric dipole moment), yet experiment bounds theta below ~10⁻¹⁰ for no apparent reason — the strong-CP problem. Its popular solution, the axion, posits a new particle. This paper forces theta to zero with no axion. There are exactly two distinguished CP positions: the fixed point, the One, where the phase is fold-invariant (alignment, no CP violation); and the self-antipode, the half-One, the unique fold preimage of the One (maximal CP violation). The strong sector sits at the aligned fixed point, so the strong force has no CP violation — theta is not a tiny tuned number but the aligned position itself. The weak sector sits at the antipode (maximal). theta = 0 is forced, not fine-tuned, and the axion is unnecessary. Machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory

Zenodo (CERN European Organization for Nuclear Research)
Fano Labs (China) (CN)
Peace, Justice and strong institutions
Openalex Percentile: Top 9%
Dark Matter and Cosmic Phenomena
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Strong-CP Is No Problem: Why the Strong Force Does Not Violate CP, and No Axion Is Needed — Maria Smith · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS