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What really matters in Hilbert-space stochastic processes

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Giancarlo Ghirardi, Oreste Nicrosini, Alberto Rimini

Quantum Physics · Submitted 15 Feb 2017

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

The authors' main claim From the point of view of solving the quantum measurement problem, what really matters is the choice of the set of operators whose value distributions are made sharp.

how it is stated · asserted 1.00 read the record →

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arXiv ID1702.04524 (version 1)
Pith IDG2KQQ52X, Pith's permanent record of this paper and its review
CitationAlberto Rimini, Giancarlo Ghirardi, Oreste Nicrosini. "What really matters in Hilbert-space stochastic processes." arXiv:1702.04524 (2017). https://pith.science/paper/G2KQQ52X
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The compiled record

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, 3,507 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.08 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The relationship between discontinuous and continuous stochastic processes in Hilbert space is investigated. It is shown that for any continuos process there is a parent discontinuous process, that becomes the continuous one in the proper infinite frequency limit. From the point of view of solving the quantum measurement problem, what really matters is the choice of the set of operators whose value distributions are made sharp. In particular, the key role of position sharping is emphasized.

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 The relationship between discontinuous and continuous stochastic processes in Hilbert space is investigated. contribution 0.56 0.71 0.04 unclear 0.57
s1 It is shown that for any continuos process there is a parent discontinuous process, that becomes the continuous one in the proper infinite frequency limit. result 0.99 0.84 0.18 asserted 1.00
s2 From the point of view of solving the quantum measurement problem, what really matters is the choice of the set of operators whose value distributions are made sharp. interpretation 0.92 0.55 0.77 asserted 1.00
s3 In particular, the key role of position sharping is emphasized. interpretation 0.85 0.56 0.18 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 0.91.

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • 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

The relationship between discontinuous and continuous stochastic processes in Hilbert space is investigated. It is shown that for any continuos process there is a parent discontinuous process, that becomes the continuous one in the proper infinite frequency limit. From the point of view of solving the quantum measurement problem, what really matters is the choice of the set of operators whose value distributions are made sharp. In particular, the key role of position sharping is emphasized.

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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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