IndisputableMonolith.Cosmology.OmegaLambdaBITKernelBand
The module defines the RS-native cosmological constant as Λ_RS = 8 φ^5 /45 together with band certification for Ω_Λ. Cosmologists working in the Recognition Science framework cite these definitions when placing the constant on the phi-ladder. The module consists of direct definitions and positivity lemmas derived from the imported constants and cost machinery.
claim$Λ_{RS} = 8 φ^5 / 45$, with associated band certification for $Ω_Λ$ in the BIT kernel.
background
Recognition Science derives constants from the unified forcing chain and the Recognition Composition Law. The module imports the base time quantum τ₀ = 1 tick from Constants and the J-cost function from Cost. It specializes these imports to the cosmological constant expressed in RS-native units using the golden ratio φ as the self-similar fixed point.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the explicit value of Λ_RS that enters OmegaLambdaBandCert and omegaLambdaBandCert. It fills the cosmological constant slot in the RS framework, consistent with the eight-tick octave and the phi-ladder construction from T5 J-uniqueness and T6 phi fixed point.
scope and limits
- Does not derive Λ_RS from observational data.
- Does not address time-dependent dark energy models.
- Does not include quantum corrections beyond the classical band.