I posted the new blog linked at bottom after discovering a paper by Zofia
Bialynicka-Birula, The principle difference however is just this paragraph :
Both Naudts and Bourgoin used equations normally reserved for photons and
skeptics argued that 1/2 spin electrons can not occupy the same space and state
and that the fractional states would simply fall away if the appropriate Dirac
equations were used! A 1996 paper "Cavity
QED*<http://th-www.if.uj.edu.pl/acta/vol27/pdf/v27p2409.pdf> " by Zofia
Bialynicka-Birula addresses this with the destruction of isotropy inside a
cavity and resulting effect on invariance under transformations of the Poincare
group which I believe supports the equation selection by Naudts and Bourgoin. I
would add that math performed from a relativistic perspective allows electrons
to occupy what appear to be the the same spatial coordinates and states due to
divergent frames of hydrogen populations at different acceleration rates but
spatially stationary, a back door way to extend the use of the equations.
Relativistic hydrogen inside a Casimir cavity appears to have a fractional
quantum state from an external
perspective<http://www.scienceblog.com/cms/blog/7200-relativistic-hydrogen-inside-casimir-cavity-appears-have-fractional-quantum-state-external-perspective-25072.html>
September 11, 2009