Single-Particle Electrodynamics - Assassination Science

If we accept the above line of argumentation by Barone and Anandan—
which the author does,—then it is clear that, in the co-accelerated frame,
the Dirac equation agrees with the results found in previous sections of this
chapter (except for the redshift force), and hence with all previous workers
who have suggested the nonrelativistic limit of these results previously. Of
course, the controversial “Anandan force” [10, 11, 49], depending only on the
anomalous moment of the neutron, is supported without qualification by the
Dirac equation.
We must now discuss the redshift force found by the author in the closing
days of his candidature. Now, since, to lowest order, the acceleration ˙v of the
particle is given by qE/m, and since the expression for the redshift force itself
contains another explicit factor of E, we see that this effect is quadratic in
E; but, more importantly, it also involves an extra factor of 1/m. Thus, the
Foldy–Wouthuysen transformation—which is, most rigorously, an expansion
in the mathematical parameter 1/m—would need to be taken to another
order than that listed above in (4.77), in order for us to obtain the redshift
force.
The author has not of course performed this task; the results would no
doubt be interesting; we leave it as an exercise for the reader.
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