IndisputableMonolith.Physics.AlphaHighPrecision
The module AlphaHighPrecision formulates an empirical hypothesis that the Recognition Science derivation of the inverse fine-structure constant matches CODATA precision to 1e-11. Physicists testing fundamental constant predictions would cite it when comparing the phi-ladder formula against high-precision measurements. The module organizes the claim around refined w8 weights and 5D curvature terms imported from Constants.Alpha, serving as an interface rather than a proved theorem.
claimHypothesis $H$ asserts that the derived value of $1/α$ from the Recognition Science formula (using refined $w_8$ weights and 5D curvature corrections) agrees with CODATA data to precision better than $10^{-11}$.
background
Recognition Science obtains $α^{-1}$ inside the interval (137.030, 137.039) from the J-cost function and the phi-ladder in the unified forcing chain (T5 J-uniqueness through T8). The upstream Constants.Alpha module supplies the base derivation of this interval together with the mass formula yardstick $× φ^{rung-8+gap(Z)}$. AlphaHighPrecision extends that base by declaring an empirical hypothesis that incorporates refined weights and curvature terms for direct numerical comparison with experiment.
proof idea
This is a definition module, no proofs. It declares the hypothesis H_AlphaPrecision and the evaluation function alpha_high_precision as an EMPIRICAL_HYPO interface whose body is a Prop standing for future external validation.
why it matters in Recognition Science
The module supplies the falsifiable precision claim that links the T5-T8 forcing chain to laboratory data on $α$. It feeds the broader Recognition Science program for constant predictions by providing the TEST_PROTOCOL and FALSIFIER stated in its doc-comment, closing the empirical loop begun in Constants.Alpha.
scope and limits
- Does not contain a Lean proof of the base $α$ formula.
- Does not compute or store the numerical value of $α^{-1}$ inside Lean.
- Does not address other constants such as $G$ or $ħ$.
- Does not include the full 5D curvature derivation.