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  1. Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics.Charles T. Sebens & Sean M. Carroll - 2016 - British Journal for the Philosophy of Science (1):axw004.
    A longstanding issue in attempts to understand the Everett (Many-Worlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of self-locating uncertainty during the period between the branches of the wave function splitting via decoherence and the observer registering the outcome of the measurement. In this period it is tempting to regard each branch as equiprobable, but we (...)
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  • Probabilistic Reasoning in Cosmology.Yann Benétreau-Dupin - 2015 - Dissertation, The University of Western Ontario
    Cosmology raises novel philosophical questions regarding the use of probabilities in inference. This work aims at identifying and assessing lines of arguments and problematic principles in probabilistic reasoning in cosmology. -/- The first, second, and third papers deal with the intersection of two distinct problems: accounting for selection effects, and representing ignorance or indifference in probabilistic inferences. These two problems meet in the cosmology literature when anthropic considerations are used to predict cosmological parameters by conditionalizing the distribution of, e.g., the (...)
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  • Many Worlds, the Born Rule, and Self-Locating Uncertainty.Sean M. Carroll & Charles T. Sebens - 2014 - In Daniele C. Struppa & Jeffrey M. Tollaksen (eds.), Quantum Theory: A Two-Time Success Story. Springer. pp. 157-169.
    We provide a derivation of the Born Rule in the context of the Everett (Many-Worlds) approach to quantum mechanics. Our argument is based on the idea of self-locating uncertainty: in the period between the wave function branching via decoherence and an observer registering the outcome of the measurement, that observer can know the state of the universe precisely without knowing which branch they are on. We show that there is a uniquely rational way to apportion credence in such cases, which (...)
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  • Normalized Observational Probabilities From Unnormalizable Quantum States or Phase-Space Distributions.Don N. Page - 2018 - Foundations of Physics 48 (7):827-836.
    Often it is assumed that a quantum state or a phase-space distribution must be normalizable. Here it is shown that even if it is not normalizable, one may be able to extract normalized observational probabilities from it.
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