Gravitational self-localization in quantum measurement

Physics – Quantum Physics

Scientific paper

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Accepted for publication in Physical Review A; extends and replaces quant-ph/0204036

Scientific paper

10.1103/PhysRevA.69.032110

Within Newton-Schr\"odinger quantum mechanics which allows gravitational self-interaction, it is shown that a no-split no-collapse measurement scenario is possible. A macroscopic pointer moves at low acceleration, controlled by the Ehrenfest-averaged force acting on it. That makes classicality self-sustaining, resolves Everett's paradox, and outlines a way to spontaneous emergence of quantum randomness. Numerical estimates indicate that enhanced short-range gravitational forces are needed for the scenario to work. The scheme fails to explain quantum nonlocality, including two-detector anticorrelations, which points towards the need of a nonlocal modification of the Newton-Schr\"odinger coupling scheme.

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