curvature_correction
plain-language theorem explainer
The curvature correction term equals the golden ratio phi raised to the negative fifth power. Researchers refining the fine structure constant prediction in Recognition Science cite this definition when tightening the alpha inverse interval toward 1 ppm accuracy. The declaration is a direct noncomputable assignment with no further steps.
Claim. $δ_κ := φ^{-5}$ where $φ$ denotes the golden ratio.
background
The Alpha-Inverse Precision Refinement module presents two formulas for the inverse fine structure constant: an additive seed equal to 4π times 11 and an exponential resummation that incorporates the curvature correction to approach experimental precision. Phi is the self-similar fixed point obtained from the forcing chain. The module states that the predicted value lies in (137.030, 137.039) and identifies the curvature term as necessary for the 1 ppm target.
proof idea
This is a one-line definition that directly assigns phi raised to the power of negative five.
why it matters
The definition supplies the explicit curvature term required by the AlphaPrecisionCert structure to certify the alpha inverse interval and assert positivity. It aligns with the Recognition Science constant ħ = φ^{-5} and supports the Q8 refinement step. It touches the open question of matching the CODATA 2022 value more closely.
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