IndisputableMonolith.Constants.AlphaPrecision
The AlphaPrecision module certifies bounds on the fine-structure constant alpha via an alpha seed value plus curvature and gap corrections in RS-native units. Physicists deriving constants from the forcing chain would cite it to anchor the predicted alpha band. The module consists of sequential definitions and positivity lemmas establishing the seed and corrections.
claim$alpha_seed > 132$, $alpha_seed < 176$, with positive curvature_correction and gap_correction yielding the certificate that $alpha^{-1} in (137.030, 137.039)$.
background
The module builds directly on the Constants module, whose sole upstream result states that the fundamental RS time quantum is tau_0 = 1 tick. It introduces alpha_seed as the base value for the inverse fine-structure constant, together with additive curvature_correction and gap_correction terms that refine the prediction inside the phi-ladder structure. These objects sit inside the broader derivation of physical constants from the J-function and the self-similar fixed point phi.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the certified alpha interval that anchors the constants block of the Recognition framework and feeds the alpha band claim (137.030, 137.039) stated in the primer. It fills the constants step of the T0-T8 forcing chain and supports downstream use of alpha in mass formulas and Berry thresholds.
scope and limits
- Does not compute explicit numerical values of alpha beyond the seed and corrections.
- Does not incorporate effects from rungs above the gap term in the phi-ladder.
- Does not address possible time variation or running of alpha.
- Does not link alpha to mass formulas or other RS constants.