G
plain-language theorem explainer
This definition assigns the CODATA 2018 numerical value of Newton's gravitational constant G in SI units. Researchers comparing Recognition Science first-principles derivations of G against laboratory data cite it for calibration. The module quarantines these empirical values so the certified chain remains independent of measured inputs. It is a direct noncomputable constant binding with no lemmas or reduction steps.
Claim. Newton's gravitational constant equals $G := 6.67430 × 10^{-11}$ in SI units (CODATA 2018).
background
The Constants.Codata module isolates empirical SI/CODATA reference values for c, ħ, and G. These are quarantined from the certified surface so the top-level certificate chain and its import closure never depend on measured numbers. Upstream, Constants.G supplies the RS-native form $G = λ_rec² c³ / (π ħ)$, while Cost.FunctionalEquation.G reparametrizes the cost functional as G_F(t) = F(exp t) and Gravity.JCostInflaton.G gives the exact log-coordinate J-cost G(t) = cosh(t) − 1.
proof idea
Direct numeric assignment from the CODATA 2018 value; no lemmas, tactics, or reduction steps are applied.
why it matters
This definition supplies the empirical anchor referenced by downstream results including cost_algebra_unique (T5 uniqueness via Aczél), J_defect_form, H_RSZeroParameterStatus, and ml_zero_parameter_certificate. It permits numerical checks of the RS-native G = φ^5 / π against SI data while keeping the forcing chain T5–T8 and the Recognition Composition Law free of external constants. It touches the open scaffolding task of a master zero-parameter certificate for all constants.
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