IndisputableMonolith.Cosmology.InflationReheatTemperature
This module certifies the post-inflation reheat temperature scale in Recognition Science cosmology. It applies the reusable J-cost band template to the reheat ratio while anchoring to the base time quantum. Researchers working on early-universe models cite it when deriving temperature bounds from J-cost nonnegativity. The module structure imports the six-clause template from CanonicalJBand together with the RS time quantum to enforce matched zero and nonnegativity on the reheat ratio.
claimThe inflation reheat temperature certification establishes $J(1)=0$ and $J(x)≥0$ for $x>0$ on the reheat ratio $x$, using the fundamental time quantum $τ_0=1$ tick.
background
The module imports the Canonical J-Cost Band template, which supplies the reusable six-clause structure used across the master cert chain. Each domain certificate built from this template proves matched-zero $J(1)=0$ and nonnegativity $J(x)≥0$ for positive ratios. It also imports the RS time quantum $τ_0=1$ tick from Constants as the native unit for all scales.
proof idea
This is a definition module, no proofs. The overall structure organizes the certification by defining the main objects that instantiate the J-band template for the reheat temperature ratio.
why it matters in Recognition Science
This module supplies the reheat temperature component within the cosmology domain of the master cert chain. It advances the forcing chain landmarks T5 J-uniqueness and T7 eight-tick octave by placing the reheat scale on the phi-ladder. No direct downstream theorems are recorded, yet the module supports higher-level early-universe calculations that rely on the RCL and the mass formula.
scope and limits
- Does not compute a numerical value for the reheat temperature.
- Does not incorporate a specific inflation potential.
- Does not address pre-inflationary or quantum fluctuation dynamics.
- Does not connect the reheat scale to the alpha inverse band.