Stephen,
Horace did hit home regarding your questions that I never answered.
I am starting to pick up the lingo from ongoing threads and citations but
the math is still a struggle for me but let me take a swing at some of your
questions with what I have learned...
[Snip]
If tau is the local time for a tiny observer located inside the cavity,
and t is time for an external observer, what's dt/dtau?
[Reply]
External t is 1 second per second
Internal tau has at least 137 states where dt/dtau varies from 1 to infinity
approaching C or instantaneous from our perspective
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[Snip]
And why should it be anything other than 1?
[Reply]
The change in ratio of short wavelength vacuum fluctuations to long due to
"up conversion" doesn't have to be due to exclusion of long flux wavelength
and replacement by shorter wavelength fluctuations, The relativistic
solution Jan Naudts introduced in a 2005 paper "On the hydrino state of the
relativistic hydrogen atom" http://arxiv.org/abs/physics/0507193v2
which contends that the sub zero state argument overlooks relativistic
effect inside Casimir cavities. I am applying Naudts' logic to the
interpretation of "up-conversion" and positing that the same long wavelength
flux can appear to be short flux if the plates induce a relativistic effect.
Call it Lorentz contraction or twisting on the temporal axis or as Jones
pointed out the imaginary axis described by Hotson's paper on Dirac
Equation-Sea of Negative Energy, the point is the same that space-time is
distributed differently inside a Casimir cavity and tau has a different rate
than t.
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[Snip]
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.
So, what transform are you proposing using, and how are you proposing
applying it in order to obtain something other than dt/dtau=1 in this case?
[Reply]
I will review the Lorentz transform and get back to you on this one as the
matrix you supply is a struggle for me. I gather it is a 4D coordinate
system where Y and Z are stationary relative to each other while X and tau
are accelerating at time rate g instead of 1 but but need to investigate
what v, and c represent.
------------------------------------------------------------------------
[Snip]
>
> The trig would be our temporal vector at some low angle say about 10
degrees
> above horizontal
How can you have a temporal vector at some angle above horizontal? That
seems to mix space and time measures in a way that doesn't make a lot of
apparent sense; perhaps you need to define some terms here. What's a
"temporal vector"?
[Reply]
I collapsed XYZ space onto the horizontal axis and assigned time to the Y
axis where past is down and future is up such that all temporal vectors must
be somewhere between 0 and 90 with our standard value far displaced from C
at 90 degrees which is why I arbitrarily chose a low value of 10 degrees and
would put an object approaching an event horizon up around 85 degrees.
[Snip]
> might be up aroung 85 degrees which causes the
> accepted Lorentz contraction as time and space trade parameters while the
> vector length remains constant. I am proposing catalysts all create
Casimir
> cavities which accelerate their reactions from our perspective by actually
> Widening the time axis while compressing the spatial axis. This is still a
> relativistic displacement but max acceleration is now on the temporal axis
How do you accelerate along the temporal axis? What does that mean?
Do you mean dt/dtau is an increasing function of ... what, exactly?
What do you use for a time base to measure acceleration along the time axis?
[Reply]
To accelerate along the time axis is relativistic -if 2 stationary objects
in 3D have different temporal accelerations the objects will get smaller
relative to the observer. The tiny observer inside the cavity will see the
outside world get smaller and likewise the external observer will see the
object inside the cavity get smaller. They both see temporal displacement as
distance but the arm that reaches down into the cavity is equally distorted
shrinking along the path such that if you closed your eyes and imagined
everything full scale you could easily grab and withdraw the object - it can
be considered an optical illusion right up to the point where you start
performing chemistry while "scaled" because then we can take advantage of
lattice geometry to build traps.
Regards
Fran
