Dear Friends:

I have now prepared an updated revision of a paper demonstrating how the
compact fifth dimension of Kaluza-Klein is responsible for the observed
intrinsic spin of the charged leptons and their antiparticles. The more
global, underlying view, is that all intrinsic spins originate from
motion through the curled up, compact $latex x^5 $ dimension. This
latest draft is linked at:

http://jayryablon.wordpress.com/file...ic-spin-30.pdf

Thanks to some very helpful critique from Daryl M. on a related thread
at sci.physics.relativity, I have entirely revamped section 5, which is
the heart of the paper wherein we establish the existence of intrinsic
spin in x^5, on the basis of "fitting" oscillations around a 4\pi loop
of the compact fifth dimension (this is to maintain not only orientation
but entanglement version). From this approach, quantization of angular
momentum in x^5 naturally emerges, it also emerges that the intrinsic
x^5 angular momentum in the ground state is given by $latex (1/2) \hbar.

In contrast to my earlier papers where I conjectured that the intrinsic
spin in x^5 projects out into the three ordinary space dimensions by
virtue of its orthogonal orientation relative to the $latex x^5 plane,
which was critiqued in several Usenet posts, I now have a much more
direct explanation of how the intrinsic spin projects out of x^5 to
where we observe it.

In particular, we recognize that one of the objections sometimes voiced
with regards to a compactified fifth dimension is the question: how does
one "bias" the vacuum toward one of four space dimensions, over the
other three, by making that dimension compact? This was at the root of
some Usenet objections also raised earlier by DRL.

In this draft -- and I think this will overcome many issues -- we
require that at least as regards intrinsic angular momentum, the square
of the J^5 = (1/2) \hbar obtained for the intrinsic angular momentum in
x^5, must be isotropically shared by all four space dimensions. That
is, we require that there is to be no "bias" toward any of the four
space dimensions insofar as squared intrinsic spin is concerned.
Because J^5 = (1/2) \hbar emanates naturally from the five dimensional
geometry, we know immediately that (J^5) ^2 = (1/4) \hbar^2, and
then, by the isotropic requirement, that (J^1)^2 = (J^2)^2 =(J^3)^2
(1/4) \hbar^2 as well. We then arrive directly at the Casimir operator
J^2 =(J^1)^2+(J^2)^{2} +(J^3)^2 =(3/4) \hbar^2 in the usual three space
dimensions, and from there, continue forward deductively.

For those who have followed this development right along, this means in
the simplest terms, that rather than use "orthogonality" to get the
intrinsic spin out of x^5 and into ordinary space, I am instead using
"isotropy."

There is also a new section 8 on positrons and Dirac's equations which
has not been posted before, and I have made other editorial changes
throughout the rest of the paper.

Looking forward to getting kicked some more. ;-)

Jay.
____________________________
Jay R. Yablon
Email:
co-moderator: sci.physics.foundations
Weblog: http://jayryablon.wordpress.com/
Web Site: http://home.nycap.rr.com/jry/FermionMass.htm

On Sun, 30 Mar 2008 13:17:17 -0400, "Jay R. Yablon"
wrote:

Dear Friends:

I have now prepared an updated revision of a paper demonstrating how the
compact fifth dimension of Kaluza-Klein is responsible for the observed
intrinsic spin of the charged leptons and their antiparticles. The more
global, underlying view, is that all intrinsic spins originate from
motion through the curled up, compact $latex x^5 $ dimension. This
latest draft is linked at:

http://jayryablon.wordpress.com/file...ic-spin-30.pdf


[Hammond]
Your paper is really super! And my hunch is before you
get it published you are going to discover even more
supporting evidence..... basically.... I think you are
entirely correct about the spin thesis.
My suspicions are partly based on the extrodinary
(psychological) history of the 5-Dimensional theory.
I find that it was the brilliant young Fin Gunnar
Nordstrom, not Theodor Kaluza who actually first discovered
and published the fact that a 5-D theory can unify E.M. and
Gravity:

GUNNAR NORDSTROM:
Über die Möglichkeit, das elektromagnetische
Feld und das Gravitationsfeld zu vereiningen. Phys. Z.
15, 504, 1914.
(About the Unification of Electromagnitism and Gravity)

Nordstrom was well known and liked by Einstein, Planck
and Bohr. In fact Einstein and Fokker showed later in 1914
that Nordstrom's (scalar) gravity theory resulted in the
remarkable (scalar) equation R=kT which elated Einstein
because it was the first fully geometric theory of gravity,
and even though it was not correct, encourged Einstein to
press on with his tensor formulation of the problem.

At any rate, Einstein and doubtlessly Kaluza both were
aware of Nordstrom's (highly) original discovery of the 5-D
unification 10 YEARS before Kaluza proved the unification in
terms of Einsteins fully tensor equation Guv=kTuv and
Einstein finally recommended the idea for publication.

So, don't you think the unfortunate Nordstrom deserves
the credit for originally dreaming up the idea of a 5-D
unification and confirmeing that it works? I say
unfortunate because Nordstrom died at 42 apparently of
radioactivity poisoning because he was constantly fooling
around with chemical experiments on Uranium.