Institute Output
On the operator origins of classical and quantum wave functions
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.
Some Quantum Mechanical Properties of theWolfram Model
Jonathan Gorard
By exploring hypergraph rules that deliberately break causal invariance, we show that the Wolfram Model’s multiway evolution functions like a quantum superposition whose geometry converges to projective Hilbert space. By proving that observers can “collapse” these histories via Knuth–Bendix completion—and deriving multiway analogues of Einstein’s equations, the path integral and the Schrödinger equation—we unify discrete spacetime, quantum mechanics and relativity within one framework.