Limitation to Quantum Measurements of Spacetime Distances

Details Limitation to Quantum Measurements of Spacetime Distances Limitation to Quantum Measurements of Spacetime Distances

1994-06-16

arxiv.org/abs/hep-th/9406110v1

Annals N.Y.Acad.Sci.755:579-584,1995

Physics

High Energy Physics

High Energy Physics - Theory

9pages, nofigures, postscript file, IASSNS-94/41

Scientific paper

10.1111/j.1749-6632.1995.tb38998

Inspired by the work of Wheeler among others, we have studied the problem of quantum measurements of space-time distances by applying the general principles of quantum mechanics as well as those of general relativity. Contrary to the folklore, the minimum error in the measurement of a length is shown to be proportional to the one-third power of the length itself. This uncertainty in space-time measurements implies an uncertainty of the space-time metric and yields quantum decoherence for particles heavier than the Planck mass. There is also a corresponding minimum error in energy-momentum measurements.

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