
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.
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
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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