Quantum imploding scalar fields | Zendy

Mark D. Roberts | Zendy

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Quantum imploding scalar fields

Author(s) -

Mark D. Roberts

Publication year - 2018

Publication title -

royal society open science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.84

H-Index - 51

ISSN - 2054-5703

DOI - 10.1098/rsos.180692

Subject(s) - scalar field , physics , mathematical physics , curvature , quantum , singularity , scalar field theory , einstein , scalar (mathematics) , classical mechanics , hamiltonian (control theory) , quantum gravity , extrapolation , quantum mechanics , mathematics , mathematical analysis , geometry , mathematical optimization

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.

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