On Wednesday, July 22, 2009 Stephen A. Lawrence wrote
I have no idea what you mean by "longer flux twisted on the time axis";
I have no idea what it means to twist something on the time axis. Could
you show the transform you have in mind?
For example, for the Lorentz transform, with c=1 and g=dt/dtau, and
motion along the x axis, we have
| tau | | g -vg 0 0 |
| x' | | -vg g 0 0 |
| y' | = | 0 0 1 0 |
| z' | | 0 0 0 1 |
unless I typed it in wrong. That's a hyperbolic rotation, of course,
but it doesn't sound like you have that in mind, and in any case it is
the unity transform unless the frames are in motion with respect to each
other. In the present case, the frames are stationary with respect to
each other, and the Lorentz transform is just I.
Stephen,
I reviewed Lorentz transforms in order to answer your last
remaining question. Now that I understand what you were asking I
realized the assumption that the frames are stationary to each other and
the Lorentz factor is 1 is where I lost you. I am positing that outside
the cavity has equivalent motion compared to the shielded exclusion zone
created inside the Casimir cavity. I am proposing the change in the
ratio of short to long wavelength vacuum fluctuations caused by
up-conversion in a Casimir cavity is evidence of acceleration through
equivalence. The observer inside the cavity sees us curved down gravity
well in the same way we perceive matter approaching an event horizon
down a still deeper well. I am not talking planetary gravity wells here
but rather a default time stream of 1 second per second every observer
experiences from his or her frame. I am suggesting a delta can be
manufactured via Casimir cavities that reduces that stream down to a
still harbor inside the cavity and causes a very abrupt change in space
time with the plates creating a boundary. I don't believe in fractional
quantum state atoms from a 4D perspective and suggest the math is only
solving for the spatial units while the Bohr radius is being maintained
through Lorentz contraction. A relativistic solution as both Naudts and
Bourgoin have suggested.
Best Regards
Fran