IndisputableMonolith.Physics.SchroedingerEquationFromRS
Module defining quantum systems in Recognition Science with stationary states at J=0 recognition equilibrium. Physicists deriving QM from the forcing chain and RCL cite it for the RS-native setup. It organizes content as definitions of QMSystem, stationary_state, superposition, and SchroedingerCert built on the Cost import.
claimDefines quantum systems where stationary states satisfy $J=0$, identified with eigenstates as recognition equilibria, together with superposition and a certificate for the Schrödinger equation.
background
The module imports IndisputableMonolith.Cost, which supplies the J-cost central to Recognition Science. In this setting J measures deviation from self-similar fixed points on the phi-ladder, with equilibria at J=0. The module doc comment states: Stationary state: J = 0 (eigenstate = recognition equilibrium). It introduces sibling definitions QMSystem, qmSystemCount, stationary_state, superposition, SchroedingerCert, and schroedingerCert to express quantum mechanics from RS primitives.
proof idea
This is a definition module, no proofs. It consists of a sequence of declarations that introduce QMSystem structures, count functions, stationary states, superpositions, and the SchroedingerCert certificate.
why it matters in Recognition Science
This module supplies the definitions that feed the derivation of the Schrödinger equation within the Recognition Science framework. It links quantum stationary states to the zero J-cost condition from T5 J-uniqueness in the forcing chain. The module doc comment sharpens the identification of eigenstates with recognition equilibria.