InflationFalsifier
InflationFalsifier records the observational criteria that would rule out Recognition Science inflation derived from J-cost slow roll. Cosmologists comparing RS predictions against CMB data would cite this structure when assessing model viability. The declaration is a plain record type pairing a criterion description with its experimental status string.
claimA falsifier for RS inflation is a pair consisting of a string that describes a potential falsifying observation together with a string that reports its current experimental status.
background
Recognition Science obtains inflation from the J-cost function J(x) = (x + x^{-1})/2 - 1, whose minimum at x = 1 produces a parabolic region that supports slow-roll dynamics when the field starts displaced. The module COS-001 shows that a nearly constant J-cost far from the minimum acts like a cosmological constant, yielding exponential expansion that solves the horizon, flatness, and monopole problems. Upstream structures supply the J-cost definition from PhiForcingDerived and the discrete φ-tiers from NucleosynthesisTiers.
proof idea
The declaration is a structure definition with no proof body. It simply enumerates the two String fields for the falsification criterion and its status.
why it matters in Recognition Science
This structure supplies the type for experimentalStatus, which lists current data consistent with RS inflation including n_s = 0.965 ± 0.004 and r < 0.06. It directly encodes the four falsification criteria stated in the module documentation for the J-cost inflation mechanism. The entry sits inside the Recognition Science chain that derives D = 3 and the phi-ladder from the forcing sequence T5-T8.
scope and limits
- Does not compute numerical values for the spectral index or tensor-to-scalar ratio.
- Does not simulate the slow-roll trajectory or count e-foldings.
- Does not link the inflaton to specific gauge groups or fermion generations.
- Does not address reheating or post-inflationary evolution.
formal statement (Lean)
218structure InflationFalsifier where
219 /-- Type of potential falsification. -/
220 falsifier : String
221 /-- Current experimental status. -/
222 status : String
223
224/-- Current observations are consistent with RS inflation. -/