IndisputableMonolith.Physics.FineStructureConstantFromRS
The module defines the fine structure constant in Recognition Science using the gauge loop area with 44π denominator. Theorists deriving electromagnetic constants from the J-function and phi-ladder would cite its results for the native α value. The module organizes its content as a collection of definitions and lemmas around the alpha rung and factor without a single central theorem.
claimThe RS fine structure constant uses $44π$ as the gauge loop area denominator in the $α^{-1}$ formula, with the certified value lying in $(137.030, 137.039)$.
background
The module imports Mathlib and IndisputableMonolith.Constants. The upstream Constants module defines the fundamental RS time quantum as $τ₀ = 1$ tick. It introduces the alpha rung on the phi-ladder together with the RS alpha factor to derive the electromagnetic coupling from the forcing chain.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the RS derivation of the fine structure constant and fills in the gauge loop area with 44π denominator per the module doc-comment. It contributes to the alpha band claim in the Recognition Science constants. No parent theorems are listed in the used-by edges.
scope and limits
- Does not derive the 44π denominator from the Recognition Composition Law.
- Does not compute explicit numerical values for the alpha factor beyond the certified band.
- Does not address higher-order QED corrections or experimental comparisons.