Bayesian Probabilities and the Histories Algebra

2006/03/06 by Thomas Marlow
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Probability and Statistical Research #Quantum Mechanics and Applications #gr-qc

paper · pdf · doi:10.1007/s10773-006-9122-3

published as Int.J.Theor.Phys.45:1247-1257,2006 · 10 pages, accepted by Int. J. Theo. Phys. Feb 2006

arxiv created 2006/03/06 · openalex publication_date 2006/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We attempt a justification of a generalisation of the consistent histories programme using a notion of probability that is valid for all complete sets of history propositions. This consists of introducing Cox's axioms of probability theory and showing that our candidate notion of probability obeys them. We also give a generalisation of Bayes' theorem and comment upon how Bayesianism should be useful for the quantum gravity/cosmology programmes.

Citations

• Physics with exotic probability theory
• Some Reflections on the Status of Conventional Quantum Theory when Applied to Quantum Gravity
• Consistency of the Shannon entropy in quantum experiments