A principle of information conservation for physical laws (Hidden information in quantum systems?)

TL;DR

This paper proposes an information conservation principle that rules out probabilistic laws in physics, suggests the existence of state trajectories, and offers a geometric-thermodynamic explanation for quantum probabilities, potentially revealing hidden information.

Contribution

It introduces a principle of information conservation that constrains physical laws and connects geometry with quantum probabilities, offering new insights into quantum foundations.

Findings

Rules out probabilistic physical laws

Provides a geometric-thermodynamic mechanism for quantum probabilities

Suggests the existence of hidden information in quantum systems

Abstract

A principle of information conservation is shown in abstract terms to rule out probabilistic physical laws, necessitating the existence of state trajectories. It furthermore provides a geometric-thermodynamic mechanism for the appearance of probability distributions at the operational level, and thus may provide a dynamical explanation for Born's rule of quantum probabilities. This link between geometry and operational probabilities is argued to be a promising angle from which to study the potential for "hidden information" in quantum systems, and guide efforts in quantum foundations more generally.