Coherent detector responses to quantum-controlled spherical-shell geometries
Abstract
A detector inside a static spherical shell samples globally matched field modes even though its local geometry is flat. We construct the response of a compactly switched Unruh-DeWitt detector on a quantum-controlled pair of transparent spherical-shell spacetimes with common Arnowitt-Deser-Misner mass. A stipulated common-incoming scattering identification places the branch excitations in one Hilbert space. Their positive Gram matrix determines joint, conditional, and dephased detector responses at a finite common readout, retaining the physical detector-clock phase in the uncompensated protocol. An additional coherent phase-gate protocol compensates free detector-clock propagation while preserving the shell interaction response. For concentric shells the centered response is exactly s wave. A common incoming direction basis extends the construction to a lab-fixed detector and displaced shell centers, preserving common-translation covariance. The equal-radius benchmark exhibits conditional changes of order 25% without dark-port amplification. Combining radius and position produces an assignment-odd response that reverses under reflection and vanishes at the relational midpoint. The relative normalized-state contrast reaches 34.15% among the computed samples; the relative clock-resolved probe-influence contrast reaches 8.09% for the declared readout, while larger values belong to its separate shared-phase envelope. These effects already occur in the dominant-energy-condition-compatible core. They are relational, model-dependent detector responses, not a background-independent witness of quantum geometry. First-order coefficients have finite pointlike limits; finite-coupling statements are made only at a fixed shared regulator.
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BibTeX
@misc{gauvin2026coherent,
title = {{Coherent detector responses to quantum-controlled spherical-shell geometries}},
author = {Shoshauna Gauvin and Robert B. Mann},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07041},
eprint = {2611.07041},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07041},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Coherent detector responses to quantum-controlled spherical-shell geometries
AU - Shoshauna Gauvin
AU - Robert B. Mann
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07041
UR - https://arxiv.org/abs/2611.07041
AB - A detector inside a static spherical shell samples globally matched field modes even though its local geometry is flat. We construct the response of a compactly switched Unruh-DeWitt detector on a quantum-controlled pair of transparent spherical-shell spacetimes with common Arnowitt-Deser-Misner mass. A stipulated common-incoming scattering identification places the branch excitations in one Hilbert space. Their positive Gram matrix determines joint, conditional, and dephased detector responses at a finite common readout, retaining the physical detector-clock phase in the uncompensated protocol. An additional coherent phase-gate protocol compensates free detector-clock propagation while preserving the shell interaction response. For concentric shells the centered response is exactly s wave. A common incoming direction basis extends the construction to a lab-fixed detector and displaced shell centers, preserving common-translation covariance. The equal-radius benchmark exhibits conditional changes of order 25% without dark-port amplification. Combining radius and position produces an assignment-odd response that reverses under reflection and vanishes at the relational midpoint. The relative normalized-state contrast reaches 34.15% among the computed samples; the relative clock-resolved probe-influence contrast reaches 8.09% for the declared readout, while larger values belong to its separate shared-phase envelope. These effects already occur in the dominant-energy-condition-compatible core. They are relational, model-dependent detector responses, not a background-independent witness of quantum geometry. First-order coefficients have finite pointlike limits; finite-coupling statements are made only at a fixed shared regulator.
ER -