Reheating
plain-language theorem explainer
Reheating is defined as a structure consisting of a positive real temperature. Cosmologists working in the J-cost inflation model would cite this when linking inflaton oscillations at φ = 1 to energy transfer into Standard Model particles. The declaration is a bare structure definition with no proof obligations beyond field positivity.
Claim. A reheating configuration consists of a temperature $T > 0$ in the reals.
background
In the Recognition Science treatment of cosmology, the J-cost $J(x) = (x + x^{-1})/2 - 1$ supplies the inflaton potential with a parabolic minimum at $x = 1$. Inflation occurs while the field rolls slowly far from this minimum; reheating begins once oscillations start around the minimum and energy is transferred to Standard Model fields. The upstream BoltzmannDistribution.temperature defines temperature as the reciprocal of the Lagrange multiplier β, tying it to J-cost derivatives via the average-energy relation.
proof idea
This is a structure definition with no proof body. It directly introduces the Reheating record from the fields temperature : ℝ and the positivity constraint temperature > 0. No lemmas from the upstream results are applied.
why it matters
The structure supports the efficient_reheating theorem on particle decay after inflation and the small_tensor_modes bound. It completes the post-inflationary stage of the COS-001 derivation of inflation from J-cost slow roll, consistent with the Recognition Composition Law and the forced eight-tick octave. No open scaffolding questions are addressed.
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