Question for Hal - where is the PV in Hal's PV?
Is there any "there" there?
In QED to leading order, the Vacuum Polarization tensor in momentum space is
Puv(q) = (quqv - guvq^2)P(q^2)
Where using Pauli-Villars regularization
Puv(q^2) to leading order in perturbation series is
Puv(0) ~ 1 + (1/137)log(M^2/m^2)
where m is the rest mass of the electron and
h/Mc is the short wave cutoff. If the cutoff is at h/mc as Hal wants in his Type II Casimir force model then
Puv(0) = 1
In general
P(q^2) ~ Integral x = 0 to 1 of dxx(1 - x)log[M^2(m^2 - x(1 - x)q^2)^-1]
In space-time X
P(X) = 4D Fourier transform of P(q^2) for isotropic vacuum approximation.
OK then
c^2 = co^2[1 + P(X)]^-1
Using Hal's PV Notation
c^2 = co^2/K
Where in Hal's simple SSS model
K = e^2G(Source Mass)/c^2r
Is that c or co in K?
How does Hal justify such a connection between his PV phenomenology and QED?
It seems totally adhoc with no deep plausibility?
How can Hal use "PV" without at least attempting to connect his model to QED?
Monday, September 27, 2004
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