Is Turing's Thesis the Consequence of a More General Physical Principle?

TL;DR

This paper explores the historical and theoretical connections between physical principles and Turing's thesis, proposing a unified hypothesis that links physical laws to computability.

Contribution

It unifies various attempts to derive Turing's thesis from physical principles into a single, coherent hypothesis.

Findings

All attempts to connect Turing's thesis to physics relate to one unified hypothesis.

The paper clarifies the relationship between physical laws and computability.

It discusses the implications for the computability of mathematical models in physics.

Abstract

We discuss historical attempts to formulate a physical hypothesis from which Turing's thesis may be derived, and also discuss some related attempts to establish the computability of mathematical models in physics. We show that these attempts are all related to a single, unified hypothesis.