Omega_Lambda_RS_well_defined
plain-language theorem explainer
The theorem confirms that the Recognition Science expression for the dark energy density parameter equals 11/16 minus alpha over pi by direct substitution. Cosmologists using the Recognition framework cite it to anchor the C-010 formula before deriving bounds or comparing to observations. The proof is a one-line reflexivity that follows immediately from the definition of Omega_Lambda_RS.
Claim. The RS prediction for the dark energy density parameter satisfies $Ω_Λ = 11/16 - α/π$, where $α$ denotes the fine-structure constant.
background
The module derives the cosmological constant from Recognition Science by combining a geometric seed with an electromagnetic correction. Omega_Lambda_RS is defined as the real number 11/16 minus alpha divided by pi, where 11/16 arises from the D=3 ledger structure (8-tick octave plus gap-45 synchronization) and alpha is the fine-structure constant imported from Constants.Alpha. The upstream theorem from PrimitiveDistinction supplies the structural conditions that justify treating the vacuum energy as a J-cost on the empty ledger.
proof idea
The proof is a one-line wrapper that applies reflexivity to the definition of Omega_Lambda_RS.
why it matters
This declaration anchors the C-010 derivation chain that resolves the cosmological constant problem by producing Ω_Λ ≈ 0.68 without fine-tuning. It supplies the exact expression used by sibling results such as Omega_Lambda_lt_upper_bound and Omega_Lambda_positive. The formula implements the T8 forcing step (D=3 spatial dimensions from the eight-tick octave) together with the alpha/pi correction from IR physics, closing the gap between the geometric seed 11/16 and the observed dark-energy fraction.
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