IndisputableMonolith.Physics.InflationaryCosmologyFromRS
This module defines the inflationary cosmology component of Recognition Science, fixing N_e = 44 e-folds for the baryon rung and introducing supporting structures such as InflationModel and InflationaryCosm. Cosmologists working in alternative quantum-gravity frameworks would cite it for its direct tie to RS-native constants. The module is built entirely from definitions that import the fundamental time quantum and apply it to the phi-ladder.
claim$N_e = 44$ for the baryon rung, with InflationModel, Nefolds, and InflationaryCosm defined in RS units where the time quantum satisfies $τ_0 = 1$ tick.
background
Recognition Science obtains all physics from a single functional equation whose forcing chain yields the J-cost, the self-similar fixed point phi, and the eight-tick octave. The present module imports Constants, whose sole documented content is the RS-native time quantum $τ_0 = 1$ tick. It then introduces the local notation for inflationary quantities, placing them on the phi-ladder at the baryon rung.
proof idea
This is a definition module, no proofs. The argument is carried by the sequence of definitions InflationModel, inflationModelCount, Nefolds, InflationaryCosm, and inflationaryCosmCert, each building directly on the imported time quantum.
why it matters in Recognition Science
The module supplies the cosmology block required by the Recognition framework, linking the baryon rung to the early-universe expansion that precedes the T8 derivation of three spatial dimensions. It therefore sits upstream of any later calculation that needs a concrete value of N_e inside RS-native units.
scope and limits
- Does not derive the inflationary potential or slow-roll parameters.
- Does not compute the power spectrum or tensor-to-scalar ratio.
- Does not address reheating or post-inflationary evolution.
- Does not compare N_e = 44 against CMB observables.