pith. machine review for the scientific record. sign in
module module high

IndisputableMonolith.Physics.CombustionFromJCost

show as:
view Lean formalization →

CombustionFromJCost shows that stoichiometric combustion is the point of zero J-cost in the Recognition Science framework. Researchers deriving chemical equilibria from the Recognition Composition Law would reference its regime definitions and certificates. The module supplies type-level classifications and direct verifications that J vanishes exactly at the stoichiometric ratio.

claimStoichiometric combustion occurs precisely when $J(r)=0$ for the stoichiometric ratio $r$, with off-stoichiometric regimes carrying positive $J$-cost derived from the Recognition Composition Law.

background

Recognition Science models physical interactions through the J-cost function satisfying the Recognition Composition Law. The module imports the RS time quantum from Constants and the cost definitions from Cost. It introduces CombustionRegime as an enumeration of fuel-oxidizer ratios by deviation from equilibrium, stoichiometric_equilibrium as the assertion that the balanced ratio achieves J=0, off_stoichiometric_cost as the explicit J-expression away from balance, and CombustionCert as a certificate witnessing equilibrium.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the concrete mapping from J-cost to combustion equilibria. It realizes the claim that recognition equilibrium (J=0) corresponds to stoichiometric balance, providing the foundation for subsequent calculations of energy release in RS-native units. No downstream theorems are recorded yet.

scope and limits

depends on (2)

Lean names referenced from this declaration's body.

declarations in this module (6)