2020
DOI: 10.3390/quantum2020021
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Quantum-Only Metrics in Spherically Symmetric Gravity

Abstract: The Einstein action for the gravitational field has some properties which make of it, after quantization, a rare prototype of systems with quantum configurations that do not have a classical analogue. Assuming spherical symmetry in order to reduce the effective dimensionality, we have performed a Monte Carlo simulation of the path integral with transition probability e − β | S | . Although this choice does not allow to reproduce the full dynamics, it does lead us to find a large ensemble of metric con… Show more

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Cited by 2 publications
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“…Numerical simulations of this effect have been already reported in [17,18], but without the stabilizing R 2 term, and were therefore less clear and reliable.…”
Section: Introductionmentioning
confidence: 94%
See 1 more Smart Citation
“…Numerical simulations of this effect have been already reported in [17,18], but without the stabilizing R 2 term, and were therefore less clear and reliable.…”
Section: Introductionmentioning
confidence: 94%
“…Technically it would be possible to introduce a dependence on time and on the angles and a dynamical g 00 , but the chosen reduction has the advantage of leading to a strong simplification of the action. The Einstein term, here denoted as S R , while S R 2 denotes the R 2 term, is written simply as [15][16][17][18]]…”
Section: Introductionmentioning
confidence: 99%