IndisputableMonolith.Physics.StrongNuclearForceFromRS
Module defining the Recognition Science prediction for the strong coupling: α_s = 2/17 ≈ 0.1176, with comparison to the PDG value and a certificate packing the match. Physicists citing RS hadronic predictions use the coupling definition and near-PDG lemma. Structure is definitional plus elementary arithmetic identities and a cert record.
claimThe RS strong coupling is $\alpha_s^{\mathrm{RS}} = 2/17 \approx 0.1176$. The module records its equality to that fraction, an approximate decimal, the PDG reference value, a nearness statement $\alpha_s^{\mathrm{RS}} \approx \alpha_s^{\mathrm{PDG}}$, a QCD free-parameter count, and a certificate bundling these facts.
background
Recognition Science fixes dimensionless couplings from the same forcing chain that yields $J$, $\varphi$, the eight-tick period, and $D=3$. The fine-structure constant sits in a narrow band around $1/137$; the strong coupling is treated analogously as a pure rational fixed by ledger structure rather than a free QCD input.
This module lives in the Physics layer and imports only Mathlib and Constants (the RS time quantum $\tau_0 = 1$ tick and related units). It introduces strongCouplingRS as the RS value $2/17$, the PDG reference alphaSPDG, and a small certificate type that packages the numerical agreement for downstream audits.
No dynamical QCD Lagrangian is derived here; the claim is the numerical identification of the coupling at the RS scale with the simple fraction $2/17$.
proof idea
Definition module with thin equational lemmas. strongCouplingRS is introduced as the constant $2/17$; strongCouplingRS_eq and strongCoupling_approx are immediate arithmetic rewrites to the fraction and its decimal. alphaSRS_near_PDG compares that value to the stored PDG figure. qcdParameterCount and StrongForceCert / strongForceCert assemble a record that the RS coupling matches observation within the stated tolerance. No deep tactic proofs; the content is definitions plus rfl-style or norm_num identities.
why it matters in Recognition Science
Closes the strong-force entry in the RS constants table: once $\varphi$ and the rung structure are fixed (T5–T7), $\alpha_s = 2/17$ is the predicted hadronic coupling, parallel to the $\alpha^{-1}\in(137.030,137.039)$ band for QED. Downstream consumers (none linked in the current graph) would cite strongForceCert when auditing that RS has no free QCD coupling parameter. The module does not yet feed a larger forcing-chain theorem; it stands as the Physics-layer anchor for the strong interaction number.
scope and limits
- Does not derive the QCD Lagrangian or confinement from RS axioms.
- Does not prove running of $\alpha_s$ with scale; only the RS reference value.
- Does not claim exact equality to every PDG extraction, only nearness of the stored constant.
- Does not fix quark masses or CKM entries; only the coupling fraction $2/17$.
- Does not connect to the eight-tick or $D=3$ proofs inside this file.