This will be the last note for UFT430, the vacuum polarization is an effect that is calculated with QED in the standard model of physics. This is a very long drawn out and dubious calculation, described as "dippy" by Feynman and as "ugly" by Dirac. In m theory, vacuum polarization is given immediately as:

phi = – m(r) power 1/2 e / (4 pi eps0 r)

where phi is the potential of a point charge in a vacuum, regarded as a dielectric material. QED calculates m(r) power half in a highly complicated way, through virtual pair production which is supposed to generate a vacuum polarization and magnetization. However these have never been observed. The m theory gives vacuum polarization immediately as m(r) power half, and m(r) can be tuned to give exactly the experimental result. It is claimed in standard physics that part of the Lamb shift is due to vacuum polarization. If this claim can be taken seriously it is given by m(r) power half in the above expression. On the classical level the vacuum polarization is developed through a vacuum current density and charge density.

References

1) M. W Evans and J. P. Vigier "The Enigmatic Photon" (Kluwer, in five volumes, 1994 to 1999).

2) M.W. Evans and L. B. Crowell, "Classical and Quantum Electrodynamics" (World Scientific, 2001).

The vacuum polarization was first calculated by Dirac and Heisenberg in 1934, but was already plagued with infinities. QED attempts to remove these with renormalization and regularization. These methods were rejected by Dirac and Feynman. The m theory successfully removes all these problems by realizing that radiative corrections are all due to m space itself.

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