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Elimination of cosmological singularities in quantum cosmology by suitable operator orderings
General Relativity and Quantum Cosmology · Submitted 19 Apr 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that for a certain class of operator orderings such a singularity is eliminated without having to impose boundary conditions.
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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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The abstract, sentence by sentence
Canonical quantization of general relativity does not yield a unique quantum theory for gravity. This is in part due to operator ordering ambiguities. In this paper, we investigate the role of different operator orderings on the question of whether a big bang or big crunch singularity occurs. We do this in the context of the minisuperspace model of a Friedmann-Lemaitre-Robertson-Walker universe with Brown-Kuchar dust. We find that for a certain class of operator orderings such a singularity is eliminated without having to impose boundary conditions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Canonical quantization of general relativity does not yield a unique quantum theory for gravity. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | This is in part due to operator ordering ambiguities. | background 1.00 | 0.05 | 0.02 | asserted 0.84 |
| s2 | In this paper, we investigate the role of different operator orderings on the question of whether a big bang or big crunch singularity occurs. | contribution 0.99 | 0.69 | 0.05 | asserted 0.63 |
| s3 | We do this in the context of the minisuperspace model of a Friedmann-Lemaitre-Robertson-Walker universe with Brown-Kuchar dust. | method 0.98 | 0.42 | 0.02 | asserted 0.88 |
| s4 | We find that for a certain class of operator orderings such a singularity is eliminated without having to impose boundary conditions. | result 1.00 | 0.97 | 0.94 | asserted 1.00 |
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The paper
Original abstract
Canonical quantization of general relativity does not yield a unique quantum theory for gravity. This is in part due to operator ordering ambiguities. In this paper, we investigate the role of different operator orderings on the question of whether a big bang or big crunch singularity occurs. We do this in the context of the minisuperspace model of a Friedmann-Lemaitre-Robertson-Walker universe with Brown-Kuchar dust. We find that for a certain class of operator orderings such a singularity is eliminated without having to impose boundary conditions.
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How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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For example, a perfect fluid [ref] , a Chaplygin gas [ref] , an anti-Chaplygin gas [ref] or other phenomenological matters have been used.
Resolution of challenging problems in quantum cosmology with electromagnetic radiation · Conclusions · 0.97
What it cites · 10 sentences without a confident label
Uses the method or tool of 1 paper
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In the next section, we will consider a particular minisuperspace model corresponding to a Friedmann-Lemaître-Robertson-Walker (FLRW) universe with dust, where the dust is described by the Brown and Kuchař method [ref] .
Dust as a Standard of Space and Time in Canonical Quantum Gravity · Introduction · 1.00
Compares with 4 papers
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The situation is similar to that in loop quantum gravity where the quantum effects also cause a bouncing behavior near the singularity [ref] .
Robustness of key features of loop quantum cosmology · Conclusion · 1.00
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The situation is similar to that in loop quantum gravity where the quantum effects also cause a bouncing behavior near the singularity [ref] .
Absence of Singularity in Loop Quantum Cosmology · Conclusion · 1.00
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The situation is similar to that in loop quantum gravity where the quantum effects also cause a bouncing behavior near the singularity [ref] .
Quantum Nature of the Big Bang · Conclusion · 1.00
Cites as background 6 papers
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A choice of operator ordering that is often made (mostly in the context of minisuperspace models) is to take the Laplace-Beltrami operator with respect to the DeWitt metric on superspace [ref] .
Introductory Lectures on Quantum Cosmology (1990) · Introduction · 0.87
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Examples include: that the metric has support on singular 3-metrics, that it is peaked on singular 3-metrics, that the expectation of the scale factor vanishes (see, e.g., [ref] ).
Robustness of key features of loop quantum cosmology · Introduction · 0.94
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Examples include: that the metric has support on singular 3-metrics, that it is peaked on singular 3-metrics, that the expectation of the scale factor vanishes (see, e.g., [ref] ).
Absence of Singularity in Loop Quantum Cosmology · Introduction · 0.94
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