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Carlip, Quantum gravity in 2+1 dimensions (2023), arXiv:2312.12596 [gr-qc]

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abstract

General relativity becomes vastly simpler in three spacetime dimensions: all vacuum solutions have constant curvature, and the moduli space of solutions can be almost completely characterized. As a result, this lower dimensional setting becomes an ideal test bed for a wide range of approaches to quantum gravity, from reduced phase phase space quantization to covariant canonical quantization to path integral methods to asymptotic quantization of "edge states." Here I review a variety of classical descriptions of the moduli space of solutions and a broad range of quantizations, with special attention to implications for realistic quantum gravity in four spacetime dimensions.

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Particle detector in a position-superposed black hole spacetime

quant-ph · 2026-04-13 · unverdicted · novelty 7.0

An Unruh-DeWitt detector interacting with a position-superposed BTZ black hole produces outcome probabilities containing a nonclassical contribution that distinguishes quantum superposition from classical mixtures, arising from singularities in the probed spectrum.

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