I have found some articles that summarize and generalize important results: perhaps some of the readers will find it interesting to know them. The articles are:
A) SPEED OF LIGHT IN NON–TRIVIAL VACUAB) Geometric Backreaction of Modified Quantum Vacua and Diffeomorphrisim CovarienceSome important formulas:
(where α is the fine structure constant and α
2G is the mass of the electron squared written in Plankian units (the gravitational coupling constant))
1) Relationship between the value of c and the distance between the plates: (Scharnhorst effect)
c = 1 − β where β = − (11 * π
2 * α
2) / (8100 * α
2G * L
4)
2) Relationship between the value of c and the temperature:
c = 1 − β where β = (106 * π
2 * α
2 * T
4) / (2835 * α
2G )
(Important note: <<All the above results are perturbative and should only be believed when small>> (from A))
3) Generalization of the previous: relationship between the value of c and the vacuum energy density ρ
ac = 1 − β where β = (44 * α
2 * ρ
a) / (135 * m
4e )
(Note: will there be a more complete, non-perturbative formula for c(ρ) we do not know?)
<<It follows automatically that if the vacuum has a lower energy density than the standard vacuum, ρ
a < 0 and c > 1, and viceversa>> (from A)
so we have
exotic => superluminalI read a quotation from a Thorne book:
<< "... in 1974 ... Hawking inferred as a byproduct of his discovery of black hole evaporation ... that vacuum fluctuations near a [Black Hole] 's horizon are exotic: They have negative average energy density as seen by outgoing light beams near the hole's horizon. >>
so near a black hole the photons are superluminal.
as <<The physical mechanism behind the Hawking radiation seems to be the process of Schwinger pair creation in strong background fields >> (see the previous post)
whe have E >> schwinger limit => superluminal photons