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

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.