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Correction to Casimir Plate/Gravity Ratio



 
 
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Old March 1st 06 posted to sci.physics.relativity,sci.math,sci.astro,sci.military,sci.space
Jack Sarfatti
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Posts: 2,218
Default Correction to Casimir Plate/Gravity Ratio

Just felt a small earthquake in San Francisco.

On Mar 1, 2006, at 10:42 AM, Dr. Eric Davis wrote:

Jack:

Everything I'm doing is strictly within GR theory. But you knew that
already.

I am not disputing that. I have not seen what you are doing in detail
since the USAF teleportation report that I liked except for your
promoting PV as a viable alternative to a frontal assault on metric
engineering with GR (extended to torsion I think). I think Hal should
keep PV buried - it is simply too incomplete and it violates the LOCAL
equivalence principle and tensor covariance. We can debate that later.
The deepest way into the equivalence is the local gauging of all
universal continuous space-time symmetries of ALL physical dynamical
actions. We also have additional choice of "hiding the symmetry" (Sidney
Coleman) in the physical vacuum. Note that R. Kiehn has a paper
http://arxiv.org/pdf/gr-qc/0602118 on using Cartan forms for vacuum
structure similar in spirit from my approach though his math is much
deeper than mine. He has been doing this kind of math for many decades.
I am still learning it.


Although, the attached third STAIF paper (and attached PP slides in PDF
format) that I published and presented addresses being able to do warp
drive from a D-brane perspective where positive energy and negative
pressure are required to establish an FTL velocity boost. The lead
author of the paper is a NASA-JSC robotics engineer working on his Ph.D.
in GR physics at Rice Univ. under the supervision of one of Rindler's
former grad students. He previously published an earlier version of
this paper as a single author in GRG.

Thanks will look at it. :-)


Eric

Eric W. Davis, Ph.D., FBIS
Inst. for Advanced Studies at Austin
4030 W. Braker Lane, Suite 300
Austin, TX 78759

CORRECTED DRAFT 3! (got Casimir-Gravity ratio wrong UPSIDE DOWN -
mechanical algebraic error)

From: Jack Sarfatti
To: Gary Bekkum

Subject: Fwd: STAIF 2006 Meeting Exotic Propulsion Minutes Date: Tue,
28 Feb 2006 20:58:02 -0800

....

Eric keeps talking about "negative energy" that is too incomplete.

The dominant 00 GR source term is (in isotropic case for now, ignore
plate effects, ignore rotation)

(energy density)(1 + 3w)

w = pressure/(energy density)

When w -1/3, then you do need negative energy density to get repulsive
anti-gravity, which is Eric's point I suppose.

However, when w -1/3, you need positive energy density to get
repulsive anti-gravity.

Now for zero point energy of all types from Lorentz covariance and
equivalence principle minimal coupling, i.e. the generators of T4 are
locally gauged inducing the curvature field.

w = -1 for isotropic distribution

For Casimir plates oriented in 1-2 plane, De Witt's result cited by
Puthoff for only the EM ZPF is

t00 ~ -1, t11 ~ +1, t22 ~ + 1, t33 ~ -3

The energy density between the plates is negative from excluded modes
perpendicular to the plates.
The longitudinal pressure is also negative and is 3x the energy density.

OK, but what Eric Davis and Hal Puthoff & Co do not seem to understand,
or at least, I have not seen them make this key point is:

The electro-mechanical effect of the negative pressure term t33 is
attractive, i.e. a quantum electro-mechanical SUCTION between the
plates. However, the direct ZPF induced gravity effect of negative
pressure is REPULSIVE in that direction, though usually it is much
smaller than the electromechanical attraction.

Just the opposite of course for t11 = t22 positive pressure, i.e.
squeeze - stretch.

The Casimir quantum electro-mechanical term is

Casimir Force ~ x(hc/L^4)A

x ~ pi^2/720 (from memory)

A = area of plates, L is separation of plates along 3-axis

Casimir inward acceleration of the plates IF not constrained

a_c33 ~ - x(hc/L^4)A/M = xc^2(h/Mc)(A/L^4)

M is mass of a plate

The gravity ZPF term is from

V(ZPF)33 = -c^2/\33L^2

a_g33 = -dV33/dL = +2c^2/\33L

/\ positive is repulsion, /\ negative is attraction

In this anisotropic case the effective longitudinal w is +3

V is negative making the effective /\33 positive

/\33 = -(t00 + t33)(8piG/c^4) = x(8piG/c^4)(hc/L^4) = 8pix(Lp^2/L^4)

a_g33 = 16pic^2xLp^2/L^3

a_g33/a_c33 ~ [16pic^2xLp^2/L^3]/[xc^2(h/Mc)(A/L^4)] =
[16piLp^2/L^3]/[(h/Mc)(A/L^4)]

= [16piLp^2]/[(h/Mc)(A/L)] = [16piLp^2L]/[A(h/Mc)] = 16pi (Lp^2/A)(L/(h/Mc)

= [(# Bekenstein-Hawking BITS)(Plate Separation/Compton Wavelength of
Plate)]^-1 1

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