Xerxes D. Arsiwalla, David Chester, Louis H. Kauffman

We investigate operator algebraic origins of the classical Koopman–von Neumann wave function $\psi_{KvN}$ as well as the quantum-mechanical one $\psi_{QM}$. In particular $\psi_{KvN}$, and $\psi_{QM}$ are both consequences of this pre-quantum formalism. What this suggests is that neither the Schrödinger equation nor the quantum wave function are fundamental structures.