Bell's Theorem from Moore's Theorem

TL;DR

This paper demonstrates that the constraints imposed by Bell's theorem, along with other quantum no-go theorems, can be derived from classical automata theory assumptions, highlighting foundational parallels.

Contribution

It reveals that Bell's theorem and related quantum restrictions can be understood through classical automata theory, offering a new perspective on quantum-classical parallels.

Findings

Bell's theorem constraints follow from classical automata assumptions

Similarities between classical automata and quantum theory assumptions

Quantum no-go theorems can be derived from classical automata principles

Abstract

It is shown that the restrictions of what can be inferred from classically-recorded observational outcomes that are imposed by the no-cloning theorem, the Kochen-Specker theorem and Bell's theorem also follow from restrictions on inferences from observations formulated within classical automata theory. Similarities between the assumptions underlying classical automata theory and those underlying universally-unitary quantum theory are discussed.