Thermal photon fluctuations in a nonlinear medium produce light flight-time fluctuations that scale as T^4 at low temperature and linearly with T at high temperature, remaining smaller than vacuum contributions even at room temperature.
It is clear that contributions from field modes whose wavelengths are shorter compared with the thickness of the medium will be effectively suppressed
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Lightcone fluctuations in a nonlinear medium due to thermal fluctuations
Thermal photon fluctuations in a nonlinear medium produce light flight-time fluctuations that scale as T^4 at low temperature and linearly with T at high temperature, remaining smaller than vacuum contributions even at room temperature.