On Jan 29, 2004, at 6:40 AM, v... wrote:

"Dear Prof. J. Sarfatti:


thanks for info. I will not argue of negative energies
in terms of negative curvature BUT perhaps in terms of
negative energies in Dirac equation. Perhaps you'd
like to read Hestenes' SPINOR article."

No none of this is relevant. You had a common misconception. I have
explained how it works. This is known
text book physics taught at Cal Tech. No mystery here.

Classical general relativity HAS NEGATIVE CURVATURE components but NO
ANTIGRAVITY.
NEGATIVE CURVATURE has nothing to do with ANTIGRAVITY!

The Schwarzschild solution (the simplest in GR) for example is PURE
ATTRACTIVE GRAVITY yet SOME of the components of the CURVATURE TENSOR
are NEGATIVE! See John Wheeler's very nice clear "A Journey into Gravity
and Space-Time" for details on how that works.

Antigravity is purely a micro-quantum effect! Positive zero point energy
density makes anti-gravity because of its equal and opposite NEGATIVE
PRESSURE. The gravity influence of the PRESSURE is THREE TIMES STRONGER
than the gravity influence of the ENERGY DENSITY.

That's the story. This is relatively simple and very well known.

The problem is how to control the sign of the zero point pressure. That
was not well known. That's where the Vacuum Coherence and the Josephson
effect come in. That's the real problem of metric engineering of UFO
warp drives and star gate time travel machines that I briefly talk about in
Paramount Pictures Star Trek IV: The Voyage Home, Special Collector's
Edition DVD Disk 2 "Time Travel:The Art of the Possible".

--- Jack Sarfatti <sarfatti@pacbell.net> wrote:


Begin forwarded message:



On Jan 28, 2004, at 2:59 PM, zenodestiny wrote:

"Is negative curvature the key to AG?"

Jack answered:

What's "AG"? You mean "Anti-Gravity"?
The answer is NO!
You have not understood what I have been writing.
Perhaps I have not
been clear enough?
What makes anti-gravity in Einstein's theory of
gravity is well known.
It is a solved problem.

Einstein's theory in the weak field limit reduces
to the Newtonian
limit Poisson equation

Laplacian of the Gravity Potential Energy of any
source per unit test
particle mass = 4pi(G/c^2)(energy density)[1+ 3w]

See, for example Mike Turner's article in April
2003 Physics Today or
Ch 1 of John Peacock's "Cosmological Physics"
the text book used at Cal Tech in 2000.

w = pressure/energy density

You get universally repelling anti-gravity when

1 + 3w < 0

using sign conventions when positive energy
density means ordinary
universally attractive gravity as in

V(Newton) = -GMm/r = gravity potential energy
between M and m
separated by r

M and m are positive.

The force F is the negative gradient of the
gravity potential energy

F = -GradV(Newton)

Grad(1/r) = -(r/r^3)

There are 3 minus signs multiplied here, therefore

F = -GMmr/r^3

3-vectors in BOLD

the surviving - sign means the mutual
action-reaction forces between M
and m are attractive.

Now, Einstein's principle of equivalence and the
principle of local
covariance together plus Heisenberg's quantum
uncertainty principle
implies that

w = -1 for any quantum field of any spin.

This implies that any net positive zero point
energy density has an
equal negative zero point pressure.

Such a region of exotic vacuum is "dark energy"
that universally
anti-gravitates because of the factor of 3 in the
Poisson equation.

Similarly, any net negative zero point energy
density has positive
pressure and will gravitate as "dark matter".

In general, in the weak curvature Newtonian limit

Laplacian of Exotic Vacuum Potential Energy per
unit test particle ~
c^2/\zpf

where

/\zpf = (Loop Gravity Quantum of Area)^-1[(Loop
Gravity Quantum of
Area)^3/2|Vacuum Coherence|^2 - 1]

with sign conventions that /\zpf > 0 is
anti-gravity dark energy
exotic vacuum

/\zpf < 0 is gravitating dark matter exotic vacuum

Note that G plays no overt role here. These can be
very strong effects!

The Alcubuierre warp drive is relevant here and
this goes back 45
years or more to Herman Bondi's "negative matter
propulsion".

Bondi, nor Stalin's Terletskii, did not know about
dark zero point
energy back then, nor did they know about "vacuum
coherence".
Hal Puthoff still does not know about "vacuum
coherence". :-)



V wrote: "If a disk is rotating then it
is known that it has a curvature exactly opposite
to that of normal
gravity. It would seem that this could be the
cause of weight loss in
rotating objects as is seen by spinning
gyroscopes. I have never
heard anyone saying this before, but the
connection seems straight
forward enough. Also it is known that negative
energy or so-called
exotic matter will have the same effect on
space-time.

NO.

V: "So then the question is can we mimic the vacuum
conditions that are
associated with negative energy to try to achieve
a warp drive? I
think the answer is yes and the solution is so
simple that I am
surprised that the idea has been overlooked by
scientists all this
time."

NO.

V: "So how do we get a negative energy density in
the vacuum?"

You don't want that!

V: "We know
the Casmir effect can do it, but it is too small.
But are there
electric effects that can do it? Are there
magnetic effects that can
do it? Can it be done by fusing nuclei together
whose products are
heavier than their reactants?"

Asking the wrong question.

V:"Furthermore, if we have a craft whose front is
positive energy
density vacuum and the back is negative energy
density vacuum, will
this be a warp drive in the sense of Albercurie?"

You have it backwards. The front "bow" has
negative zero point energy
density exotic vacuum, the rear "stern" has
positive zero point energy
density vacuum. Signals from the bow are red
shifted, signals from the
stern are blue shifted. This is the "reverse
Doppler effect" which is
a simple "radar" signature the the UFO "bogey"
coming at you is in
"warp drive" and you had better take cover and man
your battle
stations "Red Shift Alert!" ;-)

V:"Quantum field theory says that between a
parallel plate capacitor
with the same charge there is positive energy in
between the
electrodes. In a capacitor with different charges
there is negative
energy with respect to a "flat vacuum" or
space-time "
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