Observable detail · PARTICLE

Jarlskog invariant J

Prediction3.27 × 10⁻⁵ (spinorial half-angle on C_3)
Measured3.18 × 10⁻⁵ (PDG)
Residual3%
Statushit
Source paperDCT-SM-01 · 10.5281/zenodo.20032825

Mechanism

Jarlskog invariant from the spinorial half-angle structure of the C_3 sub-cycle of the 600-cell vertex orbit. Closed form in DCT-SM-01.

Derivation

Jarlskog invariant from the spinorial half-angle structure of the C_3 sub-cycle of the 600-cell vertex orbit. Closed form in DCT-SM-01.

The closed-form prediction is

$$ \text{predicted} = 3.27 × 10⁻⁵ (spinorial half-angle on C_3) $$

against the measurement 3.18 × 10⁻⁵ (PDG), giving residual 3%.

Python verification

The verification script for this observable is particle_physics_tests.py. Run it with python3 particle_physics_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above (PDG 2024.).

References

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