Single-Particle Electrodynamics - Assassination Science

on η 2 (indeed, nothing physical in this thesis depends on η 2 ); if such terms
were to appear, we would not have anything to blame them on!
Having raised the question of scapegoats, we now turn to those terms
in the final equations that are, at present, rather undesirable, but which
could of course be vital if we were expecting them: the other infinite terms.
On the basis of the Bhabha–Corben analysis, we should expect numerous
infinite terms to occur, in the point limit: many of their terms also involved
ε −3 and ε −1 . Firstly, there is one infinite term, not dealt with above, that is
proportional to η 3, ′ in the force equation:
−3dµη 3σ× ′ ˙σ;
this was the obtained explicitly in Section 6.8.7, and inserted by hand into
the program. The author has no good physical explanation of this term at
present.
Then there are the numerous terms involving qd. Some of these appear
in the power equation—which should vanish in the rest frame; others are
just proportional to η 1 , and do not look like they would vanish for the actual
motion of the particle. However, we already knew, from the considerations
of Chapter 5, that the charged electric dipole has a non-zero centre of energy
shift; to counterbalance this, we would need to put a “mass dipole” at the
origin. If one considers the problem quantitatively, one finds that the inertial
forces imparted by such a “mass dipole” are of just the right form to cancel
the bothersome terms in the final equations. We shall, however, leave a
complete analysis of this problem to another place.
We finally turn to the remaining infinite terms in the final equations,
proportional to ˜µ 2 η 1 , and the remaining finite terms in the self-power, proportional
to ˜µ 2 η 0 . There are three possibilities that the author can see for
these terms. The first is that perhaps they arise through higher moments
of the (anisotropic) mechanical energy density of the dipole moments. This
is pure speculation. The second is that they may well vanish for the actual
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