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Quantum imploding scalar fields

Authors: Mark D. Roberts;

Quantum imploding scalar fields

Abstract

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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Keywords

canonical quantum gravity, Science, Physics, Q, FOS: Physical sciences, event horizons, General Relativity and Quantum Cosmology (gr-qc), 83C45, singularities, General Relativity and Quantum Cosmology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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