With no means of calculating it, we just don't know for sure.

Can bound charges in matter, including charges associated with protons,
electrons, charges in subatomic composite particles, etc. create
Lorentz magnetic force due to the velocity of the matter in which they
are contained? The Lorentz force law indicates that the magnetic force
produced by charge should depend only on its magnitude and velocity. Is
there a theoretical reason why this is untrue, or experimental evidence
to show that it isn't?

This is an important question - In cosmology, for example, where there
are large masses containing lots of charge, traveling at celestial
velocities, this force could be significant. How significant? With no
means of calculating it, we just don't know for sure.  The experiment
described below, if carefully repeated, would provide the means to
calculate this force, if my supposition is correct that it is an
example of the phenomenon of all charges, and the macroscopic velocity,
contributing to the Lorentz force law:

The Harvey Morgan Flywheel Experiment- IEEE, AES Systems magazine,
January 1998-

"A 2 pound lead flywheel was mounted on the shaft of a small, very high
speed (26,500 rpm advertised) electric motor. Another flywheel was
mounted on a ball-bearing shaft aligned with the motor shaft.
The two flywheel's parallel faces were separated by about 1/16 inch.

When the motor was energized, it accelerated the lead flywheel toward
its top rated speed. The other flywheel, in response to the changing
angular velocity and momentum of the lead flywheel, started turning
briskly -- in the opposite direction! ... When the electric motor was
turned off before reaching top speed, the other flywheel stopped
turning. It then started turning slowly in the same direction as the
lead flywheel..."

I believe that this phenomenon is caused by the curl of the magnetic
fields generated by the charge contained in the wheels. I couldn't find
access to the original Morgan paper on the internet, or any repeat of
the experiment. I have attached a page I found, with a photo of the
apparatus.

It appears that little data is available from the results of the
experiment, and it was not carefully done (it was not done in a vacuum,
etc.).

If this experiment could be repeated in a careful fashion, measuring
all the parameters, including axial force, this would provide the data
to calculate a charge/mass ratio. If this experiment could be repeated
in a careful fashion, measuring all the parameters, including axial
force, this would provide the data to calculate a charge/mass ratio. In
other words, it would provide a number for how much magnetic force is
produced between given masses traveling at a given velocity.

Because of the enormous import of this experiment, it is essential that
the experiment be done, regardless of one's theoretical viewpoint. Can
you recommend anyone who might be willing to do it?

Yours truly,
John Best