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Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity

1996/05/29 by G. Amelino-Camelia, J. Ellis, N. E. Mavromatos +1 · 3 citations
Physics and Astronomy · #hep-th #gr-qc

paper · pdf · doi:10.1142/s0217751x97000566

published as Int.J.Mod.Phys.A12:607-624,1997 · 20 pages, LaTex

arxiv created 1996/05/29 · arxiv updated 2009/11/30

Abstract

Within a Liouville approach to non-critical string theory, we discuss space-time foam effects on the propagation of low-energy particles. We find an induced frequency-dependent dispersion in the propagation of a wave packet, and observe that this would affect the outcome of measurements involving low-energy particles as probes. In particular, the maximum possible order of magnitude of the space-time foam effects would give rise to an error in the measurement of distance comparable to that independently obtained in some recent heuristic quantum-gravity analyses. We also briefly compare these error estimates with the precision of astrophysical measurements.

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