Decoherence and Probability

• URL: http://arxiv.org/abs/2410.01317v2
• Date: Sun, 26 Jan 2025 12:01:27 GMT
• Title: Decoherence and Probability
• Authors: Richard Dawid, Karim P. Y. Thébault,
• Abstract summary: Non-probabilistic accounts of the emergence of probability via decoherence are unconvincing. Our analysis delimits the context in which the combination of decoherence and a semi-classical averaging allows us to recover a classical probability model.
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• Abstract: One cannot justifiably presuppose the physical salience of structures derived via decoherence theory based upon an entirely uninterpreted use of the quantum formalism. Non-probabilistic accounts of the emergence of probability via decoherence are unconvincing. An alternative account of the emergence of probability involves the combination of a partially interpreted decoherence model and an averaging of observables with respect to a positive-definite quasi-probability function and neglect of terms $O(\hbar)$. Our analysis delimits the context in which the combination of decoherence and a semi-classical averaging allows us to recover a classical probability model within an emergent coarse-grained description.

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