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arXiv:gr-qc/9308007 · Physics Letters B

Quantum measurement, gravitation, and locality

D.V. Ahluwalia

Published Nov 1, 1994• 183 citations
arXivHTMLPDF
DOI
10.1016/0370-2693(94)90622-x

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This essay argues that when measurement processes involve energies of the order of the Planck scale, the fundamental assumption of locality may no longer be a good approximation. Idealized position measurements of two distinguishable spin-000 particles are considered. The measurements alter the space-time metric in a fundamental manner governed by the commutation relations [xi,,pj]=ihbar,deltaij[x_i\\,\\,p_j]= i\\hbar\\,\\delta_{ij}[xi​,,pj​]=ihbar,deltaij​ and the classical field equations of gravitation. This {\\it in-principle} unavoidable change in the space-time metric destroys the commutativity (and hence locality) of position measurement operators.
Abstract We investigate the gravitational Poissonian spontaneous localization (GPSL) model, a hybrid classical-quantum model in which classical Newtonian gravity emerges from stochastic collapses of the mass density operator, and consistently couples to quantum matter. Unlike models based on continuous weak measurement schemes, we show that GPSL ensures vacuum stability; this, together with its applicability to identical particles and fields, makes it a promising candidate for a relativistic generalization. We analyze the model’s general properties, and compare its predictions with those based on continuous weak measurement schemes. Notably, here the gravitational feedback enters entirely through the non-Hermitian jump operators, without modifying the unitary part of the dynamics. We show that this leads to a short-range gravitational back-reaction and permits decoherence rates below those of any model based on continuous weak measurement schemes. We provide explicit examples, including the dynamics of a single particle and a rigid sphere, to illustrate the distinctive phenomenology of the model. Finally, we discuss the experimental testability of GPSL, highlighting both interferometric and non-interferometric strategies to constrain its parameters and distinguish it from competing models.