experimentalStatus
plain-language theorem explainer
Current observations align with J-cost slow-roll predictions for early-universe expansion in Recognition Science. A cosmologist would cite this list when checking RS-derived n_s and r against Planck constraints. The definition enumerates three explicit consistency statements inside the InflationFalsifier structure.
Claim. Let $I$ be the structure with fields falsifier : String and status : String. Then experimentalStatus is the list $[I($Spectral index$, n_s = 0.965 ± 0.004 matches prediction), I($Tensor modes$, r < 0.06 consistent with small r), I($Non-Gaussianity$, f_NL consistent with zero)]$.
background
The module derives cosmic inflation from the J-cost J(x) = ½(x + 1/x) - 1 whose minimum at x = 1 produces a flat region for slow roll. When the field sits far from this minimum, J-cost remains nearly constant and drives exponential expansion, ending when the field reaches φ = 1. The InflationFalsifier structure records a potential falsifier together with its current observational status.
proof idea
Direct definition that constructs the three-element list of InflationFalsifier records; no lemmas or tactics are applied.
why it matters
This definition closes the experimental-consistency check for the COS-001 inflation mechanism. It supports the claim that RS slow-roll matches observed n_s ≈ 0.965 and small r, consistent with the J-cost parabolic minimum near φ = 1 and the eight-tick octave structure. No downstream theorems yet reference it.
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