Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-08-09
Phys.Lett.B339:301-303,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LA-UR-93-2890-REV, "honorable mention" for the 1994 Awards by Gravity Research Foundation
Scientific paper
10.1016/0370-2693(94)90622-X
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 $[x_i\,\,p_j]= i\hbar\,\delta_{ij}$ 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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