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arXiv · 1101.3521

Counting Steps: A New Approach to Objective Probability in Physics

Amit Hagar·Giuseppe Sergioli
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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.

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Amit Hagar, Giuseppe Sergioli. 2013-03-19. Counting Steps: A New Approach to Objective Probability in Physics. https://arxiv.org/abs/1101.3521

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