Fundamental decoherence from quantum spacetime
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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
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
SU_q(2) quantum group applied to spin-1/2 rotations yields non-commuting probability operators, an uncertainty principle for probabilities, and non-commutative rotation matrices between observers.
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
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.
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