On Mar 11, 2008, at 6:23 PM, Robin van Spaandonk wrote:
I'm looking for an additional force significantly
stronger than that between two hoop coils, in order to correct my
Helium model.
If I haven't made a mistake, then the normal hoop coil force would
be orders of
magnitude too small, which is why I was initially considering possible
interaction forces between individual minor loops. I'm guessing
(without yet
having made the effort to work it out correctly), that there would
be about
1/fine_structure_constant minor loops in each "coil".
There is also the consideration that when wire is used in a real
coil, there is
a positively charged lattice through which the electrons move (i.e.
the metal
ions in the wire), whereas when considering a single electron as a
coil, there
is no such lattice, so perhaps our laws of magnetism (which were
derived from
real wires), don't apply in exactly the same way.
Well then you will be happy to consider that indeed the laws of
magnetism, even though unchanged, don't apply in the same way, can
involve orders of magnitude differences, because the current velocity
is relativistic. Also, I think there is necessarily torque involved
because the angle of the torus to the axis is statistical in nature,
and since torque is involved, precession is involved, so the motion
is complicated, more orbitsphere like.
At high velocities the de Broglie wavelength changes (keep in mind
that the particles involved, when interacting, have de Broglie
wavelengths from their partner's reference frames that differ from
their lab frame de Broglie wavelengths), permitting a large d/r ratio
to remain even as d shrinks to a small value due to increased
magnetic effects. The force, energy, and mass of the particles
changes dramatically with shrinking de Broglie wavelength due to the
1/d^4 nature of the magnetic force. The electrostatic field from two
opposed charge particles essentially has infinite energy available
provided the distance between them can approach zero. The only thing
that limits this distance, or at least duration of this kind of
interaction at a given distance, and thus bonding energy
availability, is uncertainty of position.
For some crude estimates of orbital characterizing values for a
highly magnetic orbital (the magnetic values being due to spin
coupling) of an electron-deuteron pair, see:
http://www.mtaonline.net/~hheffner/FusionSpreadDualRel.pdf
The formulas used for each value are given. This data doesn't apply
directly to your problem, but might be useful as food for thought.
Horace Heffner
http://www.mtaonline.net/~hheffner/
