23.11.2014 Views

Single-Particle Electrodynamics - Assassination Science

Single-Particle Electrodynamics - Assassination Science

Single-Particle Electrodynamics - Assassination Science

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

immediate practicality, since then we would again have position, velocity,<br />

mechanical momentum and spin quantities that would have a direct connection<br />

with classical physics. But the author has not seen such a suitable<br />

transformation provided.<br />

The author’s ire is raised beyond the point of containment by several<br />

comments in the Barut–Unal paper [35]. Let us reproduce them here for the<br />

consideration of the reader:<br />

In the Bhabha–Corben equations, v 2 is taken to be unity; hence<br />

v· ˙v = 0 and the term with coefficient 9 is missing, and v 4 µS µν = 0.<br />

Both of these relations do not hold here; the BC equation is an<br />

approximation to ours.<br />

And the concluding paragraph, in full:<br />

Our main result is Eq. (12) [or (18)]. We believe that it is the<br />

first relativistic symplectic formulation of both coordinates and<br />

spin and the first significant generalization of the Lorentz–Dirac<br />

equation since 1938. In the second term of (12) we have the LD<br />

term 2 3 (¨vν /v 2 )˜g µν but also the new term − 9[(v· ˙v) 4 ˙vν /v 4 ]. Another<br />

difference from the LD equation is that on the left-hand side<br />

we have ˙π µ instead of mẍ µ . The Bhabha–Corben equation is<br />

not derived from an action principle, but from considerations of<br />

energy conservation of a magnetic dipole moment, and the new<br />

term − 9[(v· ˙v) 4 ˙vν /v 4 ] is missing. They have assumed a mass point<br />

with charge g 1 and dipole moment g and put v 2 = 1, S µν S µν = 0,<br />

and S µν v ν = 0 from the beginning.<br />

What rot. Of course Bhabha and Corben take v 2 = 1: they are considering<br />

standard classical mechanics. To describe the term with coëfficient 9/4 as<br />

“missing” carries with it the completely misleading implication that Bhabha<br />

and Corben obtained simply the Barut–Unal result, but with that single<br />

230

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!