Single-Particle Electrodynamics - Assassination Science

where the convenient constant η 1 will play a significant rôle in Chapter 6.
This contribution to (or “renormalisation of”) the mass is, for a point particle,
infinite; in the classical theory, one must assume that there are other
(non-electromagnetic) contributions to the mass of the body that approach
minus infinity in the point limit, leaving a finite mass overall.
5.5.9 Electric dipole mechanical field properties
For a body possessing an electric dipole moment only, we again find that the
mechanical self-momentum and mechanical angular self-momentum vanish
identically. From (5.83) and (5.94), its mechanical self-energy is given by
m d e.m. = 1 2
∫
d 3 r
rε 16π 2 r 6
≡ 1 2 d 2 η ′ 3, (5.98)
where the convenient constant η ′ 3 will again play a significant rôle in Chapter
6.
Again, (5.98) represents an infinite renormalisation of the mass of the
body in the point limit.
5.5.10 Magnetic dipole mechanical field properties
For a body possessing a magnetic dipole moment only, we again find vanishing
mechanical self-momentum and mechanical angular self-momentum. Of
importance is the fact that the mechanical self-energy is not equivalent to
the electric dipole case, since the contribution from the internal field is four
times as large (since the magnitude of the internal field is twice that of the
electric case, due to the addition of the extra Maxwell magnetic field B µ M).
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