Particle detector in a position-superposed black hole spacetime

• URL: http://arxiv.org/abs/2604.11897v1
• Date: Mon, 13 Apr 2026 18:00:08 GMT
• Title: Particle detector in a position-superposed black hole spacetime
• Abstract summary: We calculate the response of an Unruh--DeWitt detector in a 2+1d spacetime that contains a BTZ black hole in a superposition of locations.<n>We show analytically how this difference arises from singularities in the spectrum probed by the detector.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We calculate the response of an Unruh--DeWitt detector in a 2+1d spacetime that contains a BTZ black hole in a superposition of locations. Upon performing a Quantum Reference Frame (QRF) transformation, this can also be seen as a detector in a superposition of locations in a single classical black hole spacetime. We use this to derive the form of the interaction of the detector and scalar field in such a superposition of spacetimes, ignoring backreaction. We define a measurement whose outcome probabilities contain a nonclassical contribution that would be absent for a black hole described by a classical mixture of positions. Finally, we compare our results with a previously studied setup involving a mass-superposed black hole by Foo et al in [Phys. Rev. Lett. 129, 181301 (2022)], and highlight a key difference. We show analytically how this difference arises from singularities in the spectrum probed by the detector.

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