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

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

1996-05-29

arxiv.org/abs/hep-th/9605211v1

Int.J.Mod.Phys.A12:607-624,1997

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTex

Scientific paper

10.1142/S0217751X97000566

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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