Strong CP Problem & α¸-Suppression

Topological Constraints on QCD CP Violation

How K3 selection rules might naturally suppress the α¸ parameter. Framework scope: speculative - neutron EDM experiments provide decisive tests.
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Quantum Measurement Problem - Objective Collapse

🔬” The Problem

QCD allows a CP-violating α¸-term, but neutron EDM measurements constrain |α¸| < 10^-10. Why is α¸ so unnaturally small? The χ=24 framework proposes K3 topology automatically sets α¸=0.

Speculative α¸ Suppression

QCD Lagrangian with α¸-term:

$$\mathcal{L} = -\frac{1}{4}F^a_{\mu\nu}F^{a\mu\nu} + \frac{\theta g^2}{32\pi^2}F^a_{\mu\nu}\tilde{F}^{a\mu\nu}$$

Speculative mechanism: We're investigating whether selection rules/instanton sectors can suppress effective α¸. No exact α¸=0 claim. Neutron EDM remains the test.

If K3 geometry constrains instanton configurations or CP-violating phases through selection rules, this might naturally suppress α¸_eff below current experimental bounds.

Framework scope: This mechanism is speculative and requires detailed instanton analysis on K3 plus explicit selection rule computations. Neutron EDM measurements provide the decisive experimental test.