Omega_Lambda_RS
plain-language theorem explainer
The Recognition Science prediction for the dark energy density parameter defines Ω_Λ explicitly as 11/16 minus alpha over pi. Cosmologists addressing the cosmological constant problem cite this as a structure-derived value with no free parameters. The definition is a direct algebraic combination of the geometric seed from the D=3 ledger and the imported fine-structure constant.
Claim. The Recognition Science prediction for the dark energy density parameter is given by the expression Ω_Λ = 11/16 - α/π, where α denotes the fine-structure constant.
background
The Cosmological Constant Derivation module resolves the vacuum energy discrepancy by deriving Ω_Λ from ledger geometry in the Recognition Science framework. The term 11/16 is the geometric seed from the eight-tick octave combined with gap synchronization in the D=3 spatial structure. The correction α/π incorporates the fine-structure constant supplied by the Alpha module as 1/alphaInv.
proof idea
The definition is a direct algebraic expression. It subtracts the ratio of the fine-structure constant to pi from the fixed geometric seed 11/16. No lemmas or tactics are applied beyond the imported constant definitions.
why it matters
This definition anchors registry item C-010 and feeds the parent theorems Lambda_no_fine_tuning (zero free parameters) and Omega_Lambda_bounds (0 < Ω_Λ < 11/16). It realizes the T8 forcing step where D=3 emerges and supplies the observed dark energy fraction through phi-cancellation without the 10^120 QFT mismatch.
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