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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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Detalles Bibliográficos
Autor principal: Roberts, Mark D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2018
Materias:
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
Descripción
Sumario: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.