IndisputableMonolith.Cosmology.InflationReheatTemperature
The module supplies the J-band certification for the inflation reheat temperature in Recognition Science cosmology. Researchers deriving post-inflation scales from the phi-ladder cite it to anchor the temperature to RS-native units. The module applies the six-clause J-cost template from CanonicalJBand to establish matched-zero and nonnegativity for the reheat ratio.
claimThe reheat temperature $T_{ m rh}$ satisfies the canonical J-band conditions $J(T_{ m rh} au_0) = 0$ and $J(x) \geq 0$ for $x > 0$, where $ au_0$ is the RS time quantum.
background
The module sits in the cosmology domain of Recognition Science, which derives all scales from the J-functional equation and the T0-T8 forcing chain. It imports CanonicalJBand, whose doc-comment states that the six-clause J-cost-on-ratio template is used across the master cert chain for domain certifications, and Constants, which defines the RS time quantum $ au_0 = 1$ tick.
No new mathematical objects are introduced. The module simply instantiates the reusable template for the specific case of the inflation reheat temperature.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module feeds the master cert chain for B-tier whole-science openings described in the CanonicalJBand documentation. It supplies the inflation reheat temperature slot among the domain certs in the Recognition Science framework.
scope and limits
- Does not derive the reheat temperature from a specific inflationary potential.
- Does not produce a numerical value in conventional units.
- Does not address the duration or dynamics of the inflationary phase.