IndisputableMonolith.Thermodynamics.HeatTransferFromJCost
The module HeatTransferFromJCost defines heat transfer regimes, Nusselt numbers at phi-ladder rungs, and a certification structure all derived from the J-cost function. It would be cited by researchers deriving convective coefficients in RS-native units. The module contains only definitions and a certification object with no proofs.
claimThe module introduces the enumeration HeatTransferRegime, the constant regimeCount, the function nusseltAtRung(r) giving the Nusselt number at rung r, the ratio nusseltRatio, the type HeatTransferCert, and the term heatTransferCert that certifies heat transfer rates from J-cost.
background
The module imports the RS time quantum τ₀ = 1 tick from Constants. It works in the setting where J(x) = (x + x^{-1})/2 - 1 supplies the cost measure on the phi-ladder. HeatTransferRegime enumerates flow regimes while nusseltAtRung and nusseltRatio express the dimensionless heat transfer coefficient at successive rungs.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the heat transfer primitives that later thermodynamic results in the monolith rely on. It connects the J-cost (T5 J-uniqueness) to macroscopic observables such as Nusselt numbers without introducing new chain steps.
scope and limits
- Does not derive the J-cost function.
- Does not prove any heat transfer law from first principles.
- Does not contain numerical values or experimental data.
- Does not address conduction or radiation regimes.