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Quantum imploding scalar fields
The d’Alembertian □ϕ = 0 has the solution ϕ = f(v)/r, where f is a function of a null coordinate v, and this allows creation of a divergent singularity out of nothing. In scalar-Einstein theory a similar situation arises both for the scalar field and also for curvature invariants such as the Ricci s...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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The Royal Society
2018
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6227929/ https://www.ncbi.nlm.nih.gov/pubmed/30473821 http://dx.doi.org/10.1098/rsos.180692 |
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author | Roberts, Mark D. |
author_facet | Roberts, Mark D. |
author_sort | Roberts, Mark D. |
collection | PubMed |
description | The d’Alembertian □ϕ = 0 has the solution ϕ = f(v)/r, where f is a function of a null coordinate v, and this allows creation of a divergent singularity out of nothing. In scalar-Einstein theory a similar situation arises both for the scalar field and also for curvature invariants such as the Ricci scalar. Here what happens in canonical quantum gravity is investigated. Two minispace Hamiltonian systems are set up: extrapolation and approximation of these indicates that the quantum mechanical wave function can be finite at the origin. |
format | Online Article Text |
id | pubmed-6227929 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-62279292018-11-23 Quantum imploding scalar fields Roberts, Mark D. R Soc Open Sci Physics The d’Alembertian □ϕ = 0 has the solution ϕ = f(v)/r, where f is a function of a null coordinate v, and this allows creation of a divergent singularity out of nothing. In scalar-Einstein theory a similar situation arises both for the scalar field and also for curvature invariants such as the Ricci scalar. Here what happens in canonical quantum gravity is investigated. Two minispace Hamiltonian systems are set up: extrapolation and approximation of these indicates that the quantum mechanical wave function can be finite at the origin. The Royal Society 2018-10-10 /pmc/articles/PMC6227929/ /pubmed/30473821 http://dx.doi.org/10.1098/rsos.180692 Text en © 2018 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Physics Roberts, Mark D. Quantum imploding scalar fields |
title | Quantum imploding scalar fields |
title_full | Quantum imploding scalar fields |
title_fullStr | Quantum imploding scalar fields |
title_full_unstemmed | Quantum imploding scalar fields |
title_short | Quantum imploding scalar fields |
title_sort | quantum imploding scalar fields |
topic | Physics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6227929/ https://www.ncbi.nlm.nih.gov/pubmed/30473821 http://dx.doi.org/10.1098/rsos.180692 |
work_keys_str_mv | AT robertsmarkd quantumimplodingscalarfields |