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Emergent measure-dependent probabilities from modified quantum dynamics without state-vector reduction

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M. B. Weissman (U. of Illinois, Urbana-Champaign)

Quantum Physics · Submitted 30 Jun 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Here it is shown that if non-linear decoherence effects (previously proposed by other authors) are combined with an exponential time dependence of the scale for the non-linear effects, the correct measure-dependent probabilities can emerge via outcome counting, without the addition of any stochastic fields or metaphysical hypotheses.

how it is stated · asserted 0.99 read the record →

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arXiv IDquant-ph/9906127 (version 1)
Pith ID3BYLX7H3, Pith's permanent record of this paper and its review
CitationM. B. Weissman (U. of Illinois, Urbana-Champaign). "Emergent measure-dependent probabilities from modified quantum dynamics without state-vector reduction." arXiv:quant-ph/9906127 (1999). https://pith.science/paper/3BYLX7H3
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,965 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.14 · human participants 0.02 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.88 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Counting outcomes is the obvious algorithm for generating probabilities in quantum mechanics without state-vector reduction (i.e. many-worlds). This procedure has usually been rejected because for purely linear dynamics it gives results in disagreement with experiment. Here it is shown that if non-linear decoherence effects (previously proposed by other authors) are combined with an exponential time dependence of the scale for the non-linear effects, the correct measure-dependent probabilities can emerge via outcome counting, without the addition of any stochastic fields or metaphysical hypotheses.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Counting outcomes is the obvious algorithm for generating probabilities in quantum mechanics without state-vector reduction (i.e. many-worlds). background 0.98 0.06 0.04 asserted 1.00
s1 This procedure has usually been rejected because for purely linear dynamics it gives results in disagreement with experiment. background 0.97 0.04 0.02 asserted 0.99
s2 Here it is shown that if non-linear decoherence effects (previously proposed by other authors) are combined with an exponential time dependence of the scale for the non-linear effects, the correct measure-dependent probabilities can emerge via outcome counting, without the addition of any stochastic fields or metaphysical hypotheses. contribution 0.59 0.86 0.95 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

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not examined
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  • references and citing sentences
  • relations to other papers
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  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Counting outcomes is the obvious algorithm for generating probabilities in quantum mechanics without state-vector reduction (i.e. many-worlds). This procedure has usually been rejected because for purely linear dynamics it gives results in disagreement with experiment. Here it is shown that if non-linear decoherence effects (previously proposed by other authors) are combined with an exponential time dependence of the scale for the non-linear effects, the correct measure-dependent probabilities can emerge via outcome counting, without the addition of any stochastic fields or metaphysical hypotheses.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites it as support 1 paper
  • The answer to that question remains as simple and compelling as ever: The Everett interpretation, by virtue of eliminating the insistence on a single outcome to quantum measurement, avoids the nonlocality [ref] that Bell's theorem assures us must be present in any single-outcome quantum theory [ref] .[Weissman [ref] introduces nonlinear modifications to the Schrödinger equation but retains multiple outcomes, thereby retaining locality.]

    Probability, Preclusion and Biological Evolution in Heisenberg-Picture Everett Quantum Mechanics · Discussion · 0.97

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