Gravitons and Lightcone Fluctuations II: Correlation Functions

Details Gravitons and Lightcone Fluctuations II: Correlation Functions Gravitons and Lightcone Fluctuations II: Correlation Functions

1996-04-27

arxiv.org/abs/gr-qc/9604052v1

Phys.Rev.D54:2640-2646,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages and two figures, uses epsf

Scientific paper

10.1103/PhysRevD.54.2640

A model of a fluctuating lightcone due to a bath of gravitons is further investigated. The flight times of photons between a source and a detector may be either longer or shorter than the light propagation time in the background classical spacetime, and will form a Gaussian distribution centered around the classical flight time. However, a pair of photons emitted in rapid succession will tend to have correlated flight times. We derive and discuss a correlation function which describes this effect. This enables us to understand more fully the operational significance of a fluctuating lightcone. Our results may be combined with observational data on pulsar timing to place some constraints on the quantum state of cosmological gravitons.

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