Counting Steps: A New Approach to Objective Probability in Physics
Quantum Physics
2013-03-20 v5 Computational Complexity
Abstract
We propose a new interpretation of objective deterministic chances in statistical physics based on physical computational complexity. This notion applies to a single physical system (be it an experimental set--up in the lab, or a subsystem of the universe), and quantifies (1) the difficulty to realize a physical state given another, (2) the `distance' (in terms of physical resources) of a physical state from another, and (3) the size of the set of time--complexity functions that are compatible with the physical resources required to reach a physical state from another. This view (a) exorcises "ignorance" from statistical physics, and (b) underlies a new interpretation to non--relativistic quantum mechanics.
Cite
@article{arxiv.1101.3521,
title = {Counting Steps: A New Approach to Objective Probability in Physics},
author = {Amit Hagar and Giuseppe Sergioli},
journal= {arXiv preprint arXiv:1101.3521},
year = {2013}
}