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Disordered locality and Lorentz dispersion relations: an explicit model of quantum foam

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Francesco Caravelli, Fotini Markopoulou

General Relativity and Quantum Cosmology · Submitted 16 Jan 2012

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

The authors' main claim Macroscopic Lorentz invariance requires that the quantum superposition of spacetimes is suppressed by the length of these non-local links.

how it is stated · asserted 1.00 read the record →

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arXiv ID1201.3206 (version 3)
Pith IDR47IRDDB, Pith's permanent record of this paper and its review
CitationFotini Markopoulou, Francesco Caravelli. "Disordered locality and Lorentz dispersion relations: an explicit model of quantum foam." arXiv:1201.3206 (2012). https://pith.science/paper/R47IRDDB
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,777 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.18 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial non-local links. The states depend on two parameters: the minimal size of the link and their density with respect to this length. Macroscopic Lorentz invariance requires that the quantum superposition of spacetimes is suppressed by the length of these non-local links. We parametrize this suppression by the distribution of non-local links lengths in the quantum foam. We discuss the general case and then analyze two specific natural distributions. Corrections to the Lorentz dispersion relations are calculated using techniques developed in previous work.

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 Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial non-local links. contribution 0.96 0.94 0.12 asserted 1.00
s1 The states depend on two parameters: the minimal size of the link and their density with respect to this length. method 0.81 0.69 0.05 asserted 1.00
s2 Macroscopic Lorentz invariance requires that the quantum superposition of spacetimes is suppressed by the length of these non-local links. result 0.51 0.45 0.42 asserted 1.00
s3 We parametrize this suppression by the distribution of non-local links lengths in the quantum foam. method 0.91 0.86 0.11 asserted 0.94
s4 We discuss the general case and then analyze two specific natural distributions. method 0.55 0.80 0.04 asserted 0.57
s5 Corrections to the Lorentz dispersion relations are calculated using techniques developed in previous work. method 0.86 0.69 0.07 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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not examined
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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

Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial non-local links. The states depend on two parameters: the minimal size of the link and their density with respect to this length. Macroscopic Lorentz invariance requires that the quantum superposition of spacetimes is suppressed by the length of these non-local links. We parametrize this suppression by the distribution of non-local links lengths in the quantum foam. We discuss the general case and then analyze two specific natural distributions. Corrections to the Lorentz dispersion relations are calculated using techniques developed in previous work.

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8 arXiv papers cite this in 8 sentences

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

What it cites · 21 sentences without a confident label

Builds on 1 paper
Uses the method or tool of 3 papers
Cites as support 3 papers
Cites as background 3 papers

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