Renormalized Wolfram model exhibiting non-relativistic quantum behavior

TL;DR

This paper demonstrates a Wolfram model that, through renormalization, produces a sequence of wave function approximations governed by the Pauli-x Hamiltonian, linking computational models to quantum behavior.

Contribution

It introduces a renormalized Wolfram model that exhibits non-relativistic quantum behavior, a novel connection between computational models and quantum physics.

Findings

Renormalization in Wolfram models can generate quantum-like wave functions.

The model approximates solutions to the Pauli-x Hamiltonian.

Shows potential for computational approaches to quantum systems.

Abstract

We show a Wolfram model whose renormalization generates a sequence of approximations of a wave function having the Pauli-x matrix as Hamiltonian.