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arXiv · 2105.01071

Quantum probing of null-singularities

Ivo Sachs·Marc Schneider·Maximilian Urban
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Abstract

We adapt the dual-null foliation to the functional Schrödinger representation of quantum field theory and study the behavior of quantum probes in plane-wave space-times near the null-singularity. A comparison between the Einstein-Rosen and the Brinkmann patch, where the latter extends beyond the first, shows a seeming tension that can be resolved by comparing the configuration spaces. Our analysis concludes that Einstein-Rosen space-times support exclusively configurations with non-empty gravitational memory that are focussed to a set of measure zero in the focal plane with respect to a Brinkmann observer. To conclude, we provide a rough framework to estimate the qualitative influence of back-reactions on these results.

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Ivo Sachs, Marc Schneider, Maximilian Urban. 2022-09-30. Quantum probing of null-singularities. https://doi.org/10.1103/physrevd.104.125020

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