lambda_8
plain-language theorem explainer
The definition assigns λ_8 = 8 in Mpc as the 8-tick coupling scale. Cosmologists modeling σ_8 suppression from recognition strain would cite it to set the threshold wavenumber k_8 = 2π/λ_8. The assignment follows directly from the eight-tick octave without further computation.
Claim. $λ_8 = 8$ (Mpc), the scale below which the 8-tick neutrality constraint produces significant recognition strain $Q(k) = J(k/k_8)$ with $k_8 = 2π/λ_8$.
background
The module treats the σ_8 tension between Planck CMB values near 0.811 and weak-lensing values near 0.76. Recognition Science resolves the discrepancy by letting the recognition operator accumulate strain from 8-tick cycles, yielding the suppression relation σ_8^{RS} = σ_8^{CMB} · (1 - Q/Q_max). The fundamental time quantum is the tick τ_0 = 1; the eight-tick octave supplies the periodicity of the neutrality constraint. The scale function supplies phi-powered rung lengths on the ladder.
proof idea
Direct constant definition with no lemmas applied.
why it matters
The constant supplies the coupling scale that anchors strain accumulation and the suppression factor inside the σ_8 module. It realizes the eight-tick octave (T7) of the forcing chain and supplies the length that converts the recognition composition law into a wavenumber threshold. The definition closes the interface between the foundational tick and the cosmological suppression formula.
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