English

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

Quantum Physics 2020-11-09 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2011.03493,
  title  = {A principle of information conservation for physical laws (Hidden information in quantum systems?)},
  author = {Nicolas Underwood},
  journal= {arXiv preprint arXiv:2011.03493},
  year   = {2020}
}

Comments

4 pages