IndisputableMonolith.Cosmology.InflationReheatTemperature
The module supplies the J-cost certification for the inflation reheat temperature in Recognition Science cosmology. Cosmologists working inside the RS framework cite it to close the inflation sector of the master cert chain. The structure follows directly from instantiating the six-clause CanonicalJBand template on the relevant energy ratio.
claimThe reheat temperature $T_{ m rh}$ after inflation satisfies the matched-zero condition $J(1)=0$ and the nonnegativity condition $J(x)\geq 0$ for $x>0$ under the J-cost band applied to the post-inflation scale ratio.
background
Recognition Science derives all scales from the J-uniqueness equation via domain certificates that follow a reusable six-clause template. This module sits in the cosmology domain and imports the CanonicalJBand template, whose documentation states it is used across the master cert chain for B-tier whole-science openings and the Plan v7 forty-something domain certs, each proving J(1)=0 together with J(x)≥0 for x>0.
Constants supplies the base RS time quantum τ₀=1 tick. The local theoretical setting applies these imported objects to constrain the reheat phase that follows the inflationary epoch on the phi-ladder.
proof idea
This is a definition module that instantiates the CanonicalJBand template for the inflation reheat temperature; the overall structure consists of the six required clauses applied to the cosmological ratio, with no independent proof tactics or lemmas beyond the imported template.
why it matters in Recognition Science
The module completes one of the domain certificates in the Plan v7 sequence by certifying the inflation reheat temperature. It feeds the larger cosmology certs that sit above the B-tier openings in the master chain, as indicated by the CanonicalJBand documentation.
scope and limits
- Does not derive a numerical value for the reheat temperature.
- Does not address pre-inflation dynamics or the forcing chain T0-T8.
- Does not connect to the alpha band, G, or the eight-tick octave.