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Quantum Measurement, Gravitation, and Locality

D. V. Ahluwalia
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Abstract

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-$0$ particles are considered. The measurements alter the space-time metric in a fundamental manner governed by the commutation relations $[x_i\,\,p_j]= i\hbar\,δ_{ij}$ 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.

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D. V. Ahluwalia. 1994-05-17. Quantum Measurement, Gravitation, and Locality. https://doi.org/10.1016/0370-2693(94)90622-x

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