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Single-Particle Electrodynamics - Assassination Science

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other than pedagogy, in the past fifty-three years.<br />

The Bhabha–Corben analysis, however, appears to most definitely be<br />

based on a correct method of derivation. Whilst one cannot know whether<br />

their algbraic manipulations of such lengthy expressions can be fully relied<br />

on, the correct physics should be in there—somewhere. We therefore examine<br />

only the broader features of their results. Firstly, they find that timederivatives<br />

up to the fourth order are required in the force equation, and up<br />

the third order in the torque equation. Secondly, the coëfficients of the terms<br />

that they find all have denominators from the following set of numbers:<br />

1, 3, 5, 6, 15, 35.<br />

Thirdly, they find numerous terms that depend on ε −3 and ε −1 , but only a<br />

few dependent on ε −2 . They state that these terms were “expected”; the<br />

author is still coming to grips with the detailed arguments for them.<br />

Beyond this, it is difficult to go, without examining the Bhabha–Corben<br />

equations in explicit detail.<br />

It is clear that any new classical analysis of this problem should be compared<br />

against the Bhabha–Corben results. However, due to the complexity<br />

of their findings, such a comparison is not performed in this thesis, other<br />

than a comparison of the broad features listed above. It is, perhaps, left as<br />

an exercise for the reader!<br />

6.2.2 The Barut–Unal analysis<br />

In 1989, Barut and Unal [35] considered anew the question of the generalisation<br />

of the Lorentz–Dirac equation to particles possessing spin.<br />

Their method of doing so, however, did not follow the completely classical<br />

path of Bhabha and Corben (which is also to be followed by the author in<br />

this chapter). Rather, Barut and Unal considered a “zitterbewegung” model<br />

of spin, developed by Barut and collaborators in previous years [31, 33, 34,<br />

228

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