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Probabilities as Measures of Information

2003/10/12 by Francis G. Perey, F.G. Perey, Perey, Francis G.
Arts and Humanities · Physics and Astronomy · #Data Analysis #FOS: Physical sciences #Philosophy and History of Science #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #Statistics and Probability (physics.data-an) #physics.data-an #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0310073

20 pages, LateX, typos corrected

openalex publication_date 2003/10/12 · arxiv created 2003/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the notion that physical theories are quantitative and testable by observations in experiments. This leads us to propose a new, Bayesian, interpretation of probabilities in physics that unifies their current use in classical physical theories, experimental physics and quantum mechanics. Probabilities are the result of quantifying the domain of possibilities that results when we interpret observations within the framework of a physical theory. They could also be said to be measures of information used to make predictions based upon a physical theory.

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