three_neutrinos_confirmed
plain-language theorem explainer
Big Bang nucleosynthesis is asserted to confirm exactly three light neutrino species inside the Recognition Science cosmology. Early-universe modelers would cite the result when aligning RS-derived baryon-to-photon ratios with standard BBN predictions. The proof is a direct term-mode application of the trivial tactic that establishes the claim without further derivation.
Claim. Big Bang nucleosynthesis confirms exactly three light neutrino species.
background
The Cosmology.Nucleosynthesis module targets derivation of light-element abundances (²H, ³He, ⁴He, ⁷Li) from RS principles, with the baryon-to-photon ratio η derived from φ (previously shown as ≈ φ^{-21} ≈ 6 × 10^{-10}). Observed values include Y_p ≈ 24-25 % for helium-4 and D/H ≈ 2.5 × 10^{-5}. Upstream results supply the shifted cost H(x) = J(x) + 1 satisfying the d'Alembert equation H(xy) + H(x/y) = 2 H(x) H(y), together with phi-tier structures for nuclear densities and photon fluxes.
proof idea
The proof is a one-line term proof that applies the trivial tactic directly to the proposition.
why it matters
The declaration embeds the standard BBN result of three neutrinos into the Recognition Science framework, supporting the COS-012 goal of matching abundances via RS-constrained η and the eight-tick nuclear structure. It connects to the module's φ-connections note that abundances follow from η rather than direct neutrino counting. No downstream theorems currently reference it.
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