Roger Penrose Nonlocality of Gravity Energy & Other Matters

From: Jack Sarfatti (sarfatti_at_pacbell.net)
Date: 10/29/04 

Date: Fri, 29 Oct 2004 02:30:59 GMT

Note 3 If it ain't broke don't fix it. Why Hal's PV is a waste of time
and certainly should not be put forth as a plausible route to practical
metric engineering of Warp, Wormhole and Weapon W^3 (UFO high strangeness).

"We see that, despite some people's worries about energy conservation,
general relativity has some very remarkable observational
confirmations." Penrose p. 467

3.1.1 "the gravitational waves emitted by the remarkable
double-neutron-star system known as PSR 1913 + 16 ... This system, has
now been observed over a period of some 25 years, and its detailed
motion has been tracked to great precision (which is possible because
one of the stars is a pulsar which emits very precisely timed
electromagnetic 'blips' some 17 times a second). The timing of these
signals is so precise and the system itself so 'clean', that comparison
between observation and theoretical expectation provides a confirmation
of Einstein's general relativity to about one part in 10^12, an accuracy
unprecedented in the scientific comparison between the observation of a
particular system and theory. This figure refers to the overall timing
precision over a period of more than 20 years." p. 466 Penrose "The Road
to Reality"

3.1.2 Now it should be perfectly obvious that anyone who comes along
today and claims that Einstein's theory of gravity has some fundamental
conceptual flaws in its battle-tested domain of intended validity is
immediately marked as a crank by the top people in the field - the
keynote speakers at GR 17 for example. One must admit these top people
have a strong case. On Hal's PV model, that Mike Ibison, who works with
Hal, says is not compatible with general coordinate covariance and the
tensor method and does not give the right answer for PSR 1913 + 16.

3.1.3 "But there is another reason, apart from just organizing
complication, that the tensor calculus plays such a fundamental role in
Einstein's theory. This goes back to the foundational principle of
equivalence which started Einstein's whole line of thinking. Gravitation
is not to be regarded as a force: for to an observer who is falling
freely ... there is no gravitational force to be felt. Instead,
gravitation manifests in the form of space-time curvature. Now it is
important, if this idea is to work, that there be no 'preferred
coordinates' in the theory."

3.1.4 "Theory" here means the local Euler-Lagrange dynamical field
equations from a critical point in the action functional in the space of
"paths" (Feynman approach). It is well known that particular vacuum
solutions can spontaneous break a continuous symmetry and this is indeed
the case in the FRW cosmology that does describe our large-scale
universe to the amazing current precision of 2% and that can be expected
to shrink with new space experiments. Our thermodynamically
adiabatically expanding (Hubble redshift) accelerating (Type 1a
supernovae) universe has a Hubble flow, i.e., a preferred operational
state of rest in which the cosmic black body background radiation
stretched out remnant, from the decoupling of photons to electrons
380,000 years after the Big Bang, now at a temperature of ~ 2.7 deg K,
is isotropic to temperature fluctuations to 10^-5 (NASA WMAP Space
Probe). Absolute time and absolute velocity measurements relative to
this Hubble flow are now routine and provide the basis for the reliable
navigation of our coming warp drive Space Navy as we fulfill our
Manifest Destiny Matrix Out There in the Never-Ending High Frontier of
the Infinity of Worlds in Super Cosmos.

3.1.5 NASA Pioneer 10/11 space probe blue shift acceleration pointing
back to the Sun.
In my theory Einstein's gravity in the exotic vacuum is

3.1.5.1 Guv + /\zpfguv = 0

which in the Galilean-Newtonian limit is the static Poisson equation

Grad^2Vzpf = c^2/\zpf

emerges from a macro-quantum vacuum condensate "Higgs Ocean". We only
need the S-wave term in the multipole expansion of the Green's function
solution for the toy models below.

3.1.5.2 The data shows a zero point energy exotic vacuum hedgehog point
defect in the single-valued Higgs Ocean local order parameter pinned at
the center of the Sun. The hedgehog is two concentric spheres, in this
case with center at the Sun. The first one starts at ~ 20 AU at Uranus
orbit. We do not yet know the radius of the outer sphere. There is no
exotic /\zpg zero point dark energy density inside our solar system out
to 20 AU. The hedgehog has a constant gradient flow between the two
spheres. This is well known to soft-condensed matter physicists. Indeed,
the dark energy density distribution between the two spheres is simply

/\zpf(Solar Hedgehog) = H(t)/cr

Where H(t) is the FRW Hubble parameter

H(t) = R(t)^-1dR(t)/dt

t = FRW cosmic time (conveniently defined) and R(t) is the dimensionless
FRW scale factor of expanding accelerating 3D space.

The exotic vacuum gravity potential energy per unit test particle mass
in this weak field limit of GR is

Vzpf(Solar Hedgehog) = c^2/\zpfr^2 = cHr = c(Hubble recession speed)

The observed anomalous Pioneer acceleration back to the Sun is then

a_P ~ cH(t) ~ 10^-7 cm/sec^2

3.1.5.3 Note the galactic halo with a flat stellar rotational curve has

a = v^2/r

where tangential v is constant.

Vzpf(Galactic Halo) = c^2/\zpfr^2 = ar = v^2

/\zpf(Galactic Halo) = (v/c)^2(1/r)^2

3.1.5.4 If the universe is a hologram in the sense of t-Hooft and
Susskind then the entropy of the universe is simply

S(Universe) = (kB/4)R(t)^2

kB is Boltzman's constant and 1/4 comes from Hawking's formula for black
hole entropy.

R(t) is the dimensionless FRW scale factor.

Note that the entropy of the post-inflationary Universe is zero at the
Big Bang.

This explains WHY the Arrow of Time for the irreversibility of the
Second Law of Thermodynamics points the same way as the expansion of
space of the Universe.

My Father's House has Many Universes.

3.1.6 Active Diff(4) symmetry implies an infinity of parallel universes
next door!
Remembering that Penrose is talking about the structure of the local
partial differential equations of the c-number field theory (that's all
we need for Feynman's path integral quantum field theory as well) and
not certain special solutions with certain kinds of Killing vector
fields: "if a limited class of coordinate systems were taken to be
Nature's preferred choices, then these would define 'natural observer
systems' with respect to which the notion of 'gravitational force' could
be re-introduced, and the central role of the principle of equivalence
would be lost. The point is, in fact, a rather delicate one ... it is
essential for the spirit of Einstein's theory that this notion of
coordinate independence be maintained. This is what is referred to as
the principle of general covariance. It tells us not only that there are
to be no preferred coordinates, but also that, if we have two different
space-times, representing two physically distinct gravitational fields,
then there is to be no naturally preferred pointwise identification
between the two - so we cannot say which particular spacetime point of
one is to be regarded as the same point as some particular spacetime
point of the other!" p. 459

Here Penrose gives an excellent definition of parallel interpenetrating
universes of the IT kind not the BIT worlds of Everett and Deutsch BTW.
This is quite "classical" actually "macro-quantum" and has nothing to do
with the Hawking-Hartle "Wave Function of The Universe".

3.1.7 I was told by someone of great stature in the field (close to
Penrose) at GR 17 that Hal knows well who has read Hal's work "It's not
right, don't waste your time on it." Kit Green says he got an opposite
opinion from a Nobel Prize physicist. I would like to know who. This is
more than abstract theory because the UFO data is of immense long-term
national security importance. The recent shut down of NIDS is also most
curious. The UFO "high-strangeness" discussed by Jacques Vallee and Eric
Davis on the NIDS website cannot be ignored although Eric Davis, with
USAF connections, trying to explain it using Hal's PV ideas is a serious
blunder in my opinion and gets a certain part of the US Intelligence
Community looking in the wrong direction sort of like what happened in
Iraq on WMD.

Problems: 3.1.A How does Puthoff's PV theory get the two transverse
oscillating stretch-squeeze tidal polarization modes for gravity waves?

3.1.B How does Puthoff's PV theory describe the gravimagnetism
(Lense-Thirring frame drag) of a gyroscope - now seen experimentally?

3.2 Also a quick comment on Fontana's idea presented at Paul Murad's
STAIF Pow Wow in Roswell Country:

On Oct 24, 2004, at 7:06 AM, Gary S. Bekkum wrote:

Design of a Quantum Source of High-Frequency Gravitational Waves (HFGW)
and Test Methodology

http://xxx.lanl.gov/abs/physics/0410022

Authors: Giorgio Fontana
Comments: CP699, Space Technology and Applications International
Forum-STAIF 2004, proceedings published by AIP and edited by M.S. El-Genk
Subj-class: General Physics

    The generation of High-Frequency Gravitational Waves (HFGW) has been
identified as the required breakthrough that will lead to new forms of
space propulsion. Many techniques have been devised to generate HFGW,
but most of them exhibit marginal efficiency, therefore the power
emitted in form of gravitational waves (GW) is orders of magnitude lower
than the input power. The gravitational wave counterpart of the LASER,
termed Gravitational-wave LASER or "GASER" is the quantum approach to
the efficient generation of gravitational waves. Electrons, protons,
muons, etc, all have charge and mass, if accelerated they usually lose
energy through the very fast electric and magnetic channels, this causes
a negligible emission through the gravitational channel. Quantum systems
can be engineered to forbid electric and magnetic transitions, therefore
the gravitational spin-2 transitions can take place. A class of active
materials, suitable for making a GASER based on electronic transitions
in the solid state, is identified along with their relevant physical
properties. Means for creating coherence and population inversion and
means to increase the emission probability are described. The expected
performances of the device are derived from quantum gravitational
theories. Additional properties of the active materials are considered
to enforce the theoretical foundation of the device. A proof-of-concept
device, operating at about 1 THz, is described. Experiments are proposed
as a natural starting point of the research.

This appears to be highly implausible because for "bodies ... in motion,
in orbit about one another ... gravitational waves - ripples in the
fabric of spacetime - will emanate and carry positive energy away ... In
normal circumstances, this energy loss will be very small. For example,
the largest such effect in our own solar system arises from the
Jupiter-Sun system, and the rate of energy loss is only about that
emitted by a 40-watt bulb." Penrose p. 465

OK, but what about Ray Chiao's superconducting
gravi-magnetic/electromagnetic transducer effect. Even with that it's
hard to see how HFGW could lift a 30 foot flying saucer before we even
get to Super Carrier Class Star Ships.

Podkletnov and Ning Li making claims with the support of Modanese. Wait
and see. Millis from NASA BPP not optimistic.

Hard to see how even a GASER could have a large enough propulsive
effect. Even if it did, this would be a tidal stretch-squeeze and it is
hard to see how this can translate into a zero-g force "near metric
field" Alcubierre warp drive with zero time dilation and effective
global faster than light capability (locally the ship is on a timelike
geodesic with no causality violation). One loophole is the idea that
space-time gets soft at small scales beginning in the nanometer 10^-7 cm
needed for practical metric engineering. That is the "string tension"
(c^4/G) must get weaker. IF Hal Puthoff's PV could be salvaged by
getting rid of that exponential isotropic stumbling block, then c
getting smaller would help. This does happen in a BEC of course. Hal, of
course, wants c to get bigger, which is going the wrong way down a
one-way street. Of course my exotic vacuum /\zpf idea is an entirely
different approach to any of those above.

That said, let's continue.

3.3
Fig. 19.8 p. 465 is a nice example of the inherent nonlocality of the
negative gravity potential energy that persists in Einstein's GR and is
not only a property of its Newtonian limit as is sometimes falsely claimed.

"We see that, despite some people's worries about energy conservation,
general relativity has some very remarkable observational confirmations.
... Gravitational energy is a genuinely non-local quantity. This does
not imply that there is no mathematical description of gravitational
energy, however ... we do not yet have a complete understanding of
gravitational mass/energy, there is an important class of situations in
which a very complete answer can be given. These situations are ...
asymptotically flat, and they refer to gravitating systems that may be
regarded as being isolated from the rest of the universe, essentially
because of their very large distance from everything else." p. 467

*Paul, note as I said this is what Pauli means by a "closed system",
i.e. asymptotically flat!

"The work of Hermann Bondi ... generalized by Rayner Sachs provided a
clear-cut mathematical accounting for the mass-energy carried away from
such a system in the form of gravitational waves, and a conservation law
was achieved ... This conservation law does not have the local character
of that for non-gravitational fields, as manifested in ..."

Tab(Matter)^;b = 0 REAL LOCALLY CURVED SPACE-TIME REPRESENTATION ;b =
GCT covariant derivative

or

Tab(Matter)^,b + tab(Matter<->Geometry)^,b = 0 VIRTUAL GLOBALLY FLAT
SPACE-TIME REPRESENTATION ,b is Minkowski space-time ordinary partial
derivative.

Note that tab(Matter-Geometry) is a good tensor in the VIRTUAL POINCARE
GROUP of GIF -> GIF' frame transformations of this fictitious space-time
that Yilmaz and Hal Puthoff misinterpret as physically real.

tab(Matter<->Geometry) is NOT a Diff(4) GCT tensor of course.

tab(Matter<->Geometry) = 0 in the Diff(4) geodesic LIF.

tab(Matter<->Geometry) =/= 0 in the Diff(4) non-geodesic LNIF.

Do not at all confuse this with the completely separate equation from
the Bianchi identities

Gab(Vacuum Geometry)^;b = 0

t*ab(Vacuum Geometry) = (c^4/8piG)Guv(Vacuum Geometry)

This splits into a matter-free really vacuum conformal part and a
matter-induced Ricci part.

More on that later.

Relevant Pages

  • T5HE UNIVERSE IS GOD
    ... RELATIVE TO THE REST OF THE UNIVERSE. ... PLANETS ORBIT THE SUN TO CONSERVE TOTAL ENERGY ... THE FORCE OF GRAVITY IS AN ILLUSION ...
    (sci.physics)
  • Roger Penrose Nonlocality of Gravity Energy & Other Matters
    ... universe to the amazing current precision of 2% and that can be expected ... In my theory Einstein's gravity in the exotic vacuum is ... The data shows a zero point energy exotic vacuum hedgehog point ... Design of a Quantum Source of High-Frequency Gravitational Waves ...
    (sci.math)
  • Roger Penrose Nonlocality of Gravity Energy & Other Matters
    ... universe to the amazing current precision of 2% and that can be expected ... In my theory Einstein's gravity in the exotic vacuum is ... The data shows a zero point energy exotic vacuum hedgehog point ... Design of a Quantum Source of High-Frequency Gravitational Waves ...
    (sci.astro)
  • =?ISO-8859-1?Q?Re=3A_Schr=F6dinger=27s_Universe?=
    ... This puts us back into a steady state universe again because if you ... cannot discern acceleration from gravity ... quanta bits, the same as energy. ... the emitting and receiving electrons are involved and if these "see" ...
    (sci.edu)
  • Re: An explanation for the increasing expansion
    ... > Yes, but he did that so as to come up with a static universe, and he ... then the forces of expansion and gravity must be close to ... > already delicate equilibrium which keeps the universe from collapsing? ... constituant energy, with the center as just a point of focus, rather ...
    (sci.physics)