Growth of Knowledge and Entropy in Quantum Physics

TL;DR

This paper addresses the second law of thermodynamics in quantum physics by linking knowledge growth and entropy using decision theory and the many worlds interpretation, providing a new perspective on the arrow of time.

Contribution

It introduces a novel approach connecting knowledge evolution and entropy in quantum mechanics through decision theory and Popper's evolutionary theory.

Findings

Establishes a correlation between the knowledge arrow and the entropy arrow of time.

Solves the probability problem in quantum mechanics using the decision theoretic interpretation.

Derives physical constraints on knowledge creation aligned with the arrow of time.

Abstract

Most attempts to argue for the second law of thermodynamics fail because (1) they use the unviable frequency theory of probability and (2) they do not explain why the arrow of time seen in experiments is aligned with the thermodynamic arrow of time. I use the decision theoretic interpretation of quantum probability from the many worlds interpretation of quantum mechanics to solve the probability problem. I then derive a correlation between the knowledge arrow of time and the entropy arrow of time using physical constraints on knowledge creation imposed by Popper's evolutionary theory of knowledge and the many worlds interpretation.