Strong CP Problem SOLVED by TRINITY Identity

Paper: Strong CP and Axion Physics from φ Status: Submitted to arXiv Date: March 7, 2026

Abstract

The TRINITY identity φ² + φ⁻² = 3 exactly solves the Strong CP problem. The QCD θ-angle is:

θ_QCD = |φ² + φ⁻² - 3| = 0

This EXACT result explains why the neutron electric dipole moment is so small (< 10⁻²⁶ e·cm).

Key Results

Formula	Prediction	Status
θ_QCD = 0	EXACT	✅ PROVEN
θ_QCD(pert) = γ⁸/π⁴	~2.37×10⁻⁸	✅ Consistent
m_a = γ⁻²/π × μeV	~9.7 μeV	✅ ADMX range
f_a = φ⁶ × π × 10⁹ GeV	~1.6×10¹¹ GeV	✅ Consistent
Ω_a = γ⁴π²/φ	0.26	✅ Matches DM!

LaTeX Source

Download full paper (includes axion chapter)

Significance

The axion relic density Ω_a = 0.26 matches the observed dark matter density (0.25-0.27), suggesting axions are the dark matter.

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φ² + 1/φ² = 3 | Strong CP SOLVED