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Counting Steps: A New Approach to Objective Probability in Physics

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arxiv 1101.3521 v5 pith:BBVMAIYD submitted 2011-01-18 quant-ph cs.CC

classification quant-phcs.CC
keywords physicalanotherphysicsstateinterpretationobjectiveresourcesstatistical
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Threshold Theorem in Watts: Fault Tolerance as a Question About Objective Probability

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Fault-tolerant quantum computing is reframed as an empirical question about watts per decade of suppressed logical error, with a concrete two-measurement protocol proposed.

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