IndisputableMonolith.Chemistry.EnzymeCatalysisThresholdFromJCost
The module defines the enzyme catalysis threshold derived from J-cost in Recognition Science. Biophysicists modeling turnover rates would cite it to connect the recognition composition law to kcat in RS-native units. It is a definition module that builds EnzymeClass, kcat, kcat_ratio, and EnzymeCatalysisCert on top of the time quantum from Constants.
claimThe module introduces $k_{cat}$ as the catalytic turnover frequency and certifies the threshold via $EnzymeCatalysisCert$ when the J-cost condition holds, normalized by the base time quantum $τ_0 = 1$ tick.
background
Recognition Science derives all structure from the J-uniqueness function $J(x) = (x + x^{-1})/2 - 1$ obeying the Recognition Composition Law. This module applies that apparatus to chemistry by defining enzyme classes and the catalytic rate constant kcat. It imports the fundamental RS time quantum $τ_0 = 1$ tick from Constants, which fixes the scale for all rate quantities in the phi-ladder units.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the EnzymeCatalysisCert and related definitions that populate the chemistry domain of the Recognition Science monolith. It connects J-cost directly to enzymatic thresholds, supporting later applications of the mass formula and the eight-tick octave in biophysical contexts.
scope and limits
- Does not derive the J function or Recognition Composition Law.
- Does not compute numerical kcat values for real enzymes.
- Does not prove existence of enzymes meeting the threshold.
- Does not extend to quantum field effects or non-RS units.