IndisputableMonolith.Chemistry.CatalystSelectivityFromJCost
The CatalystSelectivityFromJCost module defines structures for catalyst selectivity regimes and certificates derived from the J-cost function in Recognition Science. Physical chemists modeling reaction pathways would cite it to connect RS time quanta to chemical outcomes. The module is purely definitional, importing only the base Constants without any proof obligations.
claimThe module introduces the selectivity regime and the catalyst selectivity certificate as objects derived from the J-cost function $J(x) = \frac{x + x^{-1}}{2} - 1$.
background
This module operates in the chemistry domain of Recognition Science and imports the Constants module. The upstream result establishes the fundamental RS time quantum $\tau_0 = 1$ tick. It introduces definitions for selectivity regimes in chemical catalysis using the J-cost, which quantifies recognition costs, along with associated counts and certificates.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the definitional foundation for catalyst selectivity calculations within Recognition Science. It extends the framework's application from physics constants to chemistry by grounding selectivity in J-cost and connects to the overall forcing chain through the imported time quantum.
scope and limits
- Does not prove any theorems about selectivity.
- Does not provide explicit formulas linking J-cost to experimental observables.
- Does not reference the phi-ladder or specific RS constants beyond the time quantum.
- Does not include usage examples or applications.