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Morse index and causal continuity. A criterion for topology change in quantum gravity

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H.F.Dowker, R.S.Garcia, S.Surya

General Relativity and Quantum Cosmology · Submitted 11 Oct 1999

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

The authors' main claim Namely, if a Morse function f on a compact cobordism has critical points of index 1 or n-1, then all the Morse geometries associated with f are causally discontinuous, while if f has no critical points of index 1 or n-1, then there exist associated Morse geometries which are causally continuous.

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arXiv IDgr-qc/9910034 (version 1)
Pith IDY5IOF2BS, Pith's permanent record of this paper and its review
CitationH.F.Dowker, R.S.Garcia, S.Surya. "Morse index and causal continuity. A criterion for topology change in quantum gravity." arXiv:gr-qc/9910034 (1999). https://pith.science/paper/Y5IOF2BS
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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.88 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.86 · mentions code or data availability 0.02.

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

Studies in 1+1 dimensions suggest that causally discontinuous topology changing spacetimes are suppressed in quantum gravity. Borde and Sorkin have conjectured that causal discontinuities are associated precisely with index 1 or n-1 Morse points in topology changing spacetimes built from Morse functions. We establish a weaker form of this conjecture. Namely, if a Morse function f on a compact cobordism has critical points of index 1 or n-1, then all the Morse geometries associated with f are causally discontinuous, while if f has no critical points of index 1 or n-1, then there exist associated Morse geometries which are causally continuous.

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 Studies in 1+1 dimensions suggest that causally discontinuous topology changing spacetimes are suppressed in quantum gravity. background 1.00 0.04 0.03 hedged possibility 0.98
s1 Borde and Sorkin have conjectured that causal discontinuities are associated precisely with index 1 or n-1 Morse points in topology changing spacetimes built from Morse functions. background 1.00 0.03 0.06 speculative 0.94
s2 We establish a weaker form of this conjecture. contribution 0.87 0.84 0.06 asserted 0.98
s3 Namely, if a Morse function f on a compact cobordism has critical points of index 1 or n-1, then all the Morse geometries associated with f are causally discontinuous, while if f has no critical points of index 1 or n-1, then there exist associated Morse geometries which are causally continuous. result 0.97 0.93 0.95 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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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

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Original abstract

Studies in 1+1 dimensions suggest that causally discontinuous topology changing spacetimes are suppressed in quantum gravity. Borde and Sorkin have conjectured that causal discontinuities are associated precisely with index 1 or n-1 Morse points in topology changing spacetimes built from Morse functions. We establish a weaker form of this conjecture. Namely, if a Morse function f on a compact cobordism has critical points of index 1 or n-1, then all the Morse geometries associated with f are causally discontinuous, while if f has no critical points of index 1 or n-1, then there exist associated Morse geometries which are causally continuous.

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6 arXiv papers cite this in 7 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

Papers citing it · 5 sentences without a confident label

Cites it as background 2 papers
  • The latter constitutes a radical change to the causal structure of spacetime on a surface of codimension two—such points are termed local causal discontinuities [ref] , in which the local past and future light cones of an instantaneous observer fail to deform continuously as the observer is displaced in the manifold; the structure of these types of causal discontinuities have been studied in [ref] .

    Singularity at the demise of a black hole · Introduction · 0.87

  • The final type of infinities we wish to discuss are infinities which occur in quantum cosmology and topology change [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] .

    Infinity Wars: Three Types of Singularities in Non-supersymmetric Canonical Gravity and String Theory · Quantum cosmological infinities and topology change · 0.95

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