Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Locating Uncertainty and the Origin of Probability in Everettian
  Quantum Mechanics   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 argue that the
temptation should be resisted. Applying lessons from this analysis, we
demonstrate (using methods similar to those of Zurek's envariance-based
derivation) that the Born rule is the uniquely rational way of apportioning
credence in Everettian quantum mechanics. In doing so, we rely on a single key
principle: changes purely to the environment do not affect the probabilities
one ought to assign to measurement outcomes in a local subsystem. We arrive at
a method for assigning probabilities in cases that involve both classical and
quantum self-locating uncertainty. This method provides unique answers to
quantum Sleeping Beauty problems, as well as a well-defined procedure for
calculating probabilities in quantum cosmological multiverses with multiple
similar observers.

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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci