implications
plain-language theorem explainer
This definition enumerates the cosmological consequences if Recognition Science resolves the flatness problem through J-cost minimization at critical density. Researchers in cosmology would reference it to extract predictions for dark energy and dark matter fractions from the ledger structure. The content is a direct list construction with no computation or lemmas invoked.
Claim. If Recognition Science correctly explains the observed flatness with parameter $Ω=1$, then a cosmological constant must contribute approximately 70% of critical density, dark matter must contribute 25%, the universe undergoes eternal expansion without recollapse, and spacetime geometry is fixed by the underlying ledger structure.
background
The module COS-005 addresses the flatness problem by deriving that only $Ω=1$ is consistent with the Recognition Composition Law and J-cost minimization. Key definitions include the cost from ObserverForcing as the J-cost of a recognition event and from MultiplicativeRecognizerL4 as the derived cost on positive ratios. Upstream, LedgerFactorization calibrates J, and PhiForcing supplies the self-similar fixed point phi.
proof idea
As a definition, this is a direct enumeration of the four strings from the doc-comment. It applies no lemmas and serves as a static summary of consequences derived from the flatness necessity in sibling declarations such as rs_flatness_necessity.
why it matters
This declaration summarizes the empirical consequences of the RS flatness solution, which is central to the Cosmology module. It connects to the phi-cosmology relations and critical_density_from_phi siblings. In the framework, it reinforces T5 J-uniqueness and the requirement for D=3 spatial dimensions. It leaves open the precise measurement of the dark energy density as a falsification path.
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