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Quantum superpositions of Minkowski spacetime

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arxiv 2208.12083 v2 pith:62G4YSGK submitted 2022-08-25 gr-qc hep-thquant-ph

Joshua Foo , Cemile Senem Arabaci , Magdalena Zych , Robert B. Mann This is my paper · ORCID
classification gr-qchep-thquant-ph
keywords spacetimequantumsuperpositionsminkowskidetectordifferenteffectsmodel
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Within any anticipated unifying theory of quantum gravity, it should be meaningful to combine the fundamental notions of quantum superposition and spacetime to obtain so-called "spacetime superpositions": that is, quantum superpositions of different spacetimes not related by a global coordinate transformation. Here we consider the quantum-gravitational effects produced by superpositions of periodically identified Minkowski spacetime (i.e.\ Minkowski spacetime with a periodic boundary condition) with different characteristic lengths. By coupling relativistic quantum matter to fields on such a spacetime background (which we model using the Unruh-deWitt particle detector model), we are able to show how one can in-principle "measure" the field-theoretic effects produced by such a spacetime. We show that the detector's response exhibits discontinuous resonances at rational ratios of the superposed periodic length scale.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Doubly Quantum Mechanics

    quant-ph 2024-12 conditional novelty 6.0 of 10

    Replacing SU(2) with SU_q(2) turns measurement probabilities into operators and makes reference-frame alignment between two observers fundamentally imprecise even in the limit of infinitely many exchanged spins.

  2. Superposed circular motion Unruh effect in (3+1) dimensions

    quant-ph 2026-07 conditional novelty 5.0 of 10

    Superpositions of circular Unruh-DeWitt trajectories yield only minor thermal deviations for vertically stacked circles but significant effective-temperature reduction for static-plus-orbit cases under broad Gaussian ...

  3. Entanglement harvesting in quantum superposed spacetime

    gr-qc 2024-12 conditional novelty 5.0 of 10

    Concurrence for two Unruh-DeWitt detectors is computed in a superposition of two quotient Minkowski spacetimes, showing enhanced entanglement and an enlarged twisted-field entanglement region.

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