Limit to space-time measurement.

Physics

Scientific paper

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General Relativity: Space-Time

Scientific paper

Applying simultaneously the principles of quantum mechanics and general relativity the authors find an intrinsic limitation to quantum measurements of space-time distances. The intrinsic uncertainty 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 intrinsic uncertainty of the space-time metric and yields quantum decoherence for particles heavier than the Planck mass.

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