Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The measure problem in no-collapse (many worlds) quantum mechanics   We explain the measure problem (cf. origin of the Born probability rule) in
no-collapse quantum mechanics. Everett defined maverick branches of the state
vector as those on which the usual Born probability rule fails to hold -- these
branches exhibit highly improbable behaviors, including possibly the breakdown
of decoherence or even the absence of an emergent semi-classical reality.
Derivations of the Born rule which originate in decision theory or subjective
probability (i.e., the reasoning of individual observers) do not resolve this
problem, because they are circular: they assume, a priori, that the observer
occupies a non-maverick branch. An ab initio probability measure is sometimes
assumed to explain why we do not occupy a maverick branch. This measure is
constrained by, e.g., Gleason's Theorem or envariance to be the usual Hilbert
measure. However, this ab initio measure ultimately governs the allocation of a
self or a consciousness to a particular branch of the wavefunction, and hence
invokes primitives which lie beyond the Everett wavefunction and beyond what we
usually think of as physics. The significance of this leap has been largely
overlooked, but requires serious scrutiny.

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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: cond-mat