IndisputableMonolith.Constants.StrongCoupling
The StrongCoupling module derives first-principles predictions for the strong coupling constant α_s and gauge sums in the Recognition Science framework. It extends the alpha derivation to produce explicit values, positivity statements, bounds, and a certification object. Particle physicists working on QCD parameters or unification models would cite these for their origin in the cubic ledger geometry. The module consists of targeted theorems rather than a single long proof chain.
claimPredictions for the strong coupling constant $α_s$ and gauge sum $∑ g_i$ derived from cubic ledger geometry, including positivity $α_s > 0$, explicit value and bounds for the sum, and existence of a certification object for the strong coupling regime.
background
The module imports the base RS time quantum $τ_0 = 1$ tick and the AlphaDerivation module. The latter derives $α^{-1}$ from the geometry of the cubic ledger Q_3, obtaining $4π$ via Gauss-Bonnet on vertex deficits. Strong coupling here denotes the QCD-like coupling placed on the phi-ladder with relations to the fine-structure constant band.
proof idea
The module applies results from AlphaDerivation to construct explicit predictions for α_s and gauge sums. Each component is a direct extension of the cubic ledger geometry to the strong sector. The certification confirms existence of the required strong coupling object via the imported constant derivations.
why it matters in Recognition Science
This module completes the set of fundamental constants by addressing the strong sector, supporting the unified constants framework from the forcing chain T0-T8 and Recognition Composition Law. It extends the alpha derivation to produce RS-native values for gauge couplings.
scope and limits
- Does not derive the running of α_s with energy scale.
- Does not connect gauge sums to experimental data beyond the alpha band.
- Does not address non-perturbative effects such as confinement.
- Does not provide relations to weak or electromagnetic sectors beyond the sum bounds.