Incompatibility between 't Hooft's and Wolfram's models of quantum mechanics

TL;DR

This paper compares 't Hooft's and Wolfram's classical models of quantum mechanics, demonstrating their fundamental incompatibility due to differing complexity growth, and proposes a new interpretation involving non-computable functions.

Contribution

It reveals the incompatibility between the models based on complexity growth and introduces a novel interpretation of Wolfram's model with non-computable elements.

Findings

Complexity growth differs between the models.

Models cannot describe the same physical system.

Proposed interpretation involves non-computable functions.

Abstract

Stephen Wolfram and Gerard 't Hooft developed classical models of quantum mechanics. We show that the descriptive complexity grows differently as a function of time in each model. Therefore, they cannot describe the same physical system. In addition, we propose an interpretation of the Wolfram model, which shares some characteristics with 't Hooft's model, but which involves a non-computable function.