1/α

inverse fine-structure constant

Prediction	φ⁵ · 4π · (1 − μ²/2) = 136.82
Measured	137.036 (CODATA)
Residual	0.16%
Status	soft
Source paper	DCT-SPI-01 · 10.5281/zenodo.20032750

Mechanism

φ-spectral combination on the 2I representation. φ⁵ = 11.0902 from the spectral gap μ_min = (3 − √5)/4. Targeted refinement: P-dependent gauge running.

Derivation

φ-spectral combination on the 2I representation. φ⁵ = 11.0902 from the spectral gap μ_min = (3 − √5)/4. Targeted refinement: P-dependent gauge running.

The closed-form prediction is

$$ \text{predicted} = φ⁵ · 4π · (1 − μ²/2) = 136.82 $$

against the measurement 137.036 (CODATA), giving residual 0.16%.

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 (CODATA 2018.).

References

CODATA 2018
Source paper: DCT-SPI-01 · 10.5281/zenodo.20032750

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