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Fundamental decoherence from quantum spacetime

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arxiv 2208.14119 v2 pith:3VBY3JTV submitted 2022-08-30 gr-qc hep-thquant-ph

classification gr-qchep-thquant-ph
keywords quantumtimedecoherenceevolutionspacetimemassnoncommutativityplanck
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that quantum properties of spacetime, encoded by noncommutativity at the Planck scale, lead to a generalized time evolution of quantum systems in which pure states can evolve into mixed states. Specifically, a decoherence mechanism is obtained in the form of a Lindblad-like time evolution for the density operator when the action of time translations generator is deformed by the effects of spacetime noncommutativity. The decoherence time for the evolution of a free particle is used to show that the Planck mass is the maximum allowed mass for elementary quantum systems.

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Cited by 2 Pith papers

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

  1. Indefinite probabilities in quantum spacetime: A deepening of unpredictability

    quant-ph 2026-05 unverdicted novelty 7.0 of 10

    Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.

  2. 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.

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