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I recently read about some accelerator particle beams so intense that they
actualy bend the 'ether' around the beam. So maybe I shouldn't have been so
critical of Cabbot's theory of ball lightning he expounded on a while back.
I still can't imagine a Tesla or lightning bolt can compress energy into a
small enough space to do any warping.

Anyways to the best of my current knowledge the theory of Quantum
Electrodynamics says that virtual electrons and positrons are constantly
appearing and being anihilated. This is the 'ether'. Unlike the particles in
a crystal lattice, these pairs are like the noise on a TV screen not tuned
to a station. These particle pairs, which appear and vanish over immensly
small and brief time scales (around 10^50 meters/seconds?) are what are
polarized by EM waves. This is the 'zero-point' field. Just like acoustic
waves displace atoms in a lattice, with numerouse waves adding and
subtracting at each point, EM waves polarize the transient electron-positron
pairs.

Thinking of photons of various sizes or energy, or waves of flux lines all
over the place is pretty complicated.

>  What mechnical model would I use to explain the Tesla coil operation?

Why not ask "what concepts and relationships, or mathematical equations
describe a Tesla coil" and then ask "what mechanical systems are described
by similar equations"? Usualy you learn by crude comparisons of a system you
don't know to one you do. Or have a proffesor through a book full of
equations at you, which allow you to calculate parameters in great detail
systems you understand or know nothing about.

>However, there are no mechanical models to describe the operation of certain
>parts of the TC like the transfer of energy from primary to secondary coil
>by induction with no losses.

I or many others can come up with numerous ones, and you will point out the
exceptions and inconsitancy.

>Any mechanical model would include friction and losses.

If you say it must.