Objective and Subjective Solomonoff Probabilities in Quantum Mechanics

Allan F. Randall

Algorithmic probability has shown some promise in dealing with the probability problem in the Everett interpretation, since it provides an objective, single-case probability measure. Many find the Everettian cosmology to be overly extravagant, however, and algorithmic probability has also provided improved models of subjective probability and Bayesian reasoning. I attempt here to generalize algorithmic Everettianism to more Bayesian and subjectivist interpretations. I present a general framework for applying generative probability, of which algorithmic probability can be considered a special case. I apply this framework to two commonly vexing thought experiments that have immediate application to quantum probability: the Sleeping Beauty and Replicator experiments.

In Michael Cuffaro and Philippos Papayannopoulos: Proceedings of the 9th International Workshop on Physics and Computation (PC 2018), Fontainebleau, France, 26 June 2018, Electronic Proceedings in Theoretical Computer Science 273, pp. 27–38.
Published: 2nd July 2018.

ArXived at: http://dx.doi.org/10.4204/EPTCS.273.3 bibtex PDF
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