IndisputableMonolith.Thermodynamics.HeatTransferFromJCost
This module defines heat transfer regimes, Nusselt numbers at rungs, and associated certificates derived from J-cost in Recognition Science. Researchers modeling convective processes on the phi-ladder would cite these when building RS-native thermodynamics. It is a definition module containing no theorems or proofs.
claimDefinitions of HeatTransferRegime (regimes for J-cost based transfer), regimeCount, nusseltAtRung : \mathbb{N} \to \mathbb{R} (Nusselt number at rung), nusseltRatio, HeatTransferCert, and heatTransferCert.
background
The module sits in the thermodynamics domain and imports Constants, whose sole documented object is the fundamental RS time quantum \tau_0 = 1 tick. It introduces sibling objects that translate J-cost into heat transfer quantities: regimes, rung-indexed Nusselt numbers, ratios, and a certificate type. No module-level doc-comment supplies further setting; the upstream import anchors all quantities to the RS-native tick.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the heat-transfer layer of Recognition Science thermodynamics and would feed any parent theorems on thermodynamic closure or energy transport. It has no listed downstream uses yet.
scope and limits
- Does not contain any proved theorems.
- Does not define the J function or phi-ladder.
- Does not import forcing-chain results.
- Does not provide numerical values or examples.