IndisputableMonolith.Constants.FineStructureConstant
The FineStructureConstant module locks the fine structure constant alpha_lock into (0,1) with numerical bounds matching the experimental interval for alpha inverse. Researchers deriving RS-native constants from the phi-ladder cite it to anchor electromagnetic coupling. The module re-exports positivity from Constants and applies self-similarity constraints imported from PhiForcing to close the interval.
claimThe module asserts $0 < alpha_lock < 1$ together with the numerical enclosure $137.030 < alpha_lock^{-1} < 137.039$, re-exported from the base Constants module and constrained by the golden-ratio fixed point.
background
This module belongs to the Constants domain and imports the RS time quantum tau_0 = 1 tick. It further imports PhiForcing, whose doc-comment states that phi is forced by self-similarity in a discrete ledger with J-cost. The local setting therefore combines the Recognition Composition Law J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y) with the eight-tick octave to bound the electromagnetic coupling.
proof idea
This is a definition module, no proofs. It re-exports alphaLock_pos from Constants and assembles the remaining interval statements by direct application of the self-similarity lemmas already proved in PhiForcing.
why it matters in Recognition Science
The module supplies the locked value of alpha required by the mass formula yardstick * phi^(rung - 8 + gap(Z)) and by the Berry creation threshold phi^{-1}. It therefore feeds any downstream derivation that converts the phi-ladder into the observed fine-structure interval (137.030, 137.039).
scope and limits
- Does not compute an exact closed-form expression for alpha.
- Does not incorporate running of the coupling with energy scale.
- Does not link alpha_lock to specific lepton or quark masses.
- Does not address higher-loop QED corrections.