observational_tests
plain-language theorem explainer
observational_tests assembles a short list of empirical constraints on the curvature parameter Ω drawn from CMB and BAO data. Cosmologists and Recognition Science theorists cite the list when contrasting the standard flatness fine-tuning puzzle with the RS claim that Ω equals exactly one. The definition is a direct enumeration of four strings that record Planck precision, BAO confirmation, projected future sensitivity, and the exact RS value.
Claim. The observational tests are the list containing the Planck CMB result $Ω = 1.0000 ± 0.0002$, BAO surveys confirming flatness, next-generation surveys reaching 0.01% precision, and the Recognition Science prediction that $Ω = 1$ exactly.
background
The FlatnessProblem module starts from the observation that spatial curvature is an unstable fixed point whose deviation grows proportionally to the square of the scale factor. Recognition Science replaces the fine-tuning requirement with the statement that only Ω = 1 is consistent with ledger structure and J-cost minimization on the phi-ladder. The module imports Cost, PhiForcing, and ObserverForcing so that the cost of a recognition event is identified with the J-cost of the underlying state.
proof idea
The definition directly constructs the List String by listing four literal entries; no lemmas or tactics are applied.
why it matters
The definition supplies the empirical anchor for the module's claim that RS forces exact flatness via J-cost minimization. It sits downstream of the cost definitions in ObserverForcing and MultiplicativeRecognizerL4 and supports the later statements on inflation compatibility and phi-cosmology relations. Within the T0-T8 chain it closes the observational side of the D = 3 and RCL uniqueness arguments for flat geometry.
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