1. Newton’s Classical Gravity Potential Theory in a Nutshell

2. Einsteins General Theory of Relativity in the Galilean-Newtonian Limit 3

3. Hawkings Holographic Universe Equations. 6

4. The Macro-Quantum Vacuum.. 15

5. UFO Star Gate Time Travel Warp Drive Physics. 18

The static near field

[2] ^{Green’s function is}

where

The universal

 ^[3] attractive static gravitational potential energy per unit test particle of mass at the field point with displacement 3-vector ^[4]  for source mass density at source point is^[5]

The Newtonian gravitational local Poisson equation precursor to Einstein’s 1915 geometrodynamic field equation is

The universal force per unit test particle^[6] mass field, is therefore,

In the special case of an isolated point mass source

Note from equation (1.7) for a point source mass , that taking the radial derivative gives a minus sign that is cancelled in the minus sign of the negative gradient. With this convention, one needs the sign in the static Green’s function to get an attractive force back to the source for a positive mass density.

The local non-gravitational classical field ^[7]  stress energy tensor has the form of a general relativistic fluid

Where is the mass density and is the pressure.^[8]  The trace ^[8]  of this second rank tensor is an absolute objectively real scalar invariant, i.e. the same measurable real number for all observers in arbitrary motion relative to each other all measuring the same properties of the same events.

A key qualitative physical difference between Einstein’s early 20th Century covering geometrodynamic theory of Newton’s late 17th Century theory of gravity is that pressure is a local source of gravity in addition to mass density. The equation of state connects pressure to mass density. Einstein’s local field equation, with zero cosmological local field, can be written as

The dominant term in the Newtonian limit is the time-time term i.e.

Where , therefore

Therefore, Einstein’s generalization of Newton’s Poisson equation in the weak field limiting approximation of large principal radii of curvature compared to the scale of the system is

A positive active source density giving an overall minus sign on the RHS of equation (2.6) is a universally attractive gravitating source region, similarly, an overall plus sign is a universally repelling anti-gravitating source region. Note that a dipole of opposite signs of active source density will self-accelerate as in “propellantless propulsion”, or Paul Hill’s “acceleration field”.^[10] This was first pointed out by Hermann Bondi in the 1950’s when he was Chief Scientist of the British Ministry of Defense. I heard his lecture on this at Cornell when I was an undergraduate physics major in Hans Bethe’s senior honors seminar in 1960. I was also studying tensor calculus with Wolfgang Rindler at the time and was Paul Olum’s grader in the Cornell Math Department for engineering calculus. The full significance of Bondi’s remark was not understood until today more than 40 years later.

All classical equations of state have a strictly positive active source density, i.e.,

Indeed, this is a crucial assumption in the Penrose-Hawking classical spacetime singularity theorems based on global topology independent of details of the local geometrodynamical field equation and the classical action it comes from. Hal Puthoff is not cognizant of this when he claims that his ill-posed classical PV theory has no black holes. Quantum physics changes this. Indeed, Heisenberg’s uncertainty principle combined with Einstein’s local principle of equivalence (EEP) implies ^[11] the following universal zero point energy equation of state for the vacua of all micro-quantum fields both boson and fermion

Therefore, in general, the active micro-quantum vacuum field source density is

The micro-quantum vacuum Poisson equation is then

The local stress-energy tensor of this quantum vacuum in terms of the local cosmological is

Therefore,

Substitute (2.12) into (2.10)

This is our key equation in the weak field limit, which illustrates the key new insight on how advanced super-technology will work.

vacuum regions correspond to Kip Thorne’s anti-gravitating “exotic matter” needed to make Star Gates and Time Machines. At the cosmological scale they explain the observed acceleration of our visible universe. Similarly vacuum regions correspond to the “dark matter” that is at least ~ 80% of the total effective gravitating mass of our universe. A photon leaving a . region detected in a region will be blue shifted. Similarly a photon leaving a region detected in a region will be red shifted. Hawking’s equations for the holographic universe are modified as well.^[12]

From: Jack Sarfatti [sarfatti@pacbell.net]
Sent: Tuesday, June 11, 2002 11:37 AM
To: sarfatti@well.com; Jack Sarfatti
Cc: ItalianPhysicsCenter
Subject: Hawking's Nutty Universe: UFO Beauties from The Future?

From “The Universe in a Nutshell” Ch V

“So if a beautiful alien in a flying saucer invites you into her time machine. Step with care.”

For our holographic universe pp 64-65 Hawking and

where for a nonrotating black hole

= Boltzmann's "imaginary time" quantum of entropy (disorder) ~ 1.4x10-16 ergs per degree Kelvin

= Planck's "real time" quantum of classical mechanical action or periodic quantum phase ~ 10-27 erg-seconds

c = speed of far field transverse polarized electromagnetic waves (real photons on light cone "mass shell") ~ 3x1010 cm per second

G = Newton's constant of gravity ~ 6.7 10-8 cm3 per second2 per gram = 6.7x10-8 per mass density-second2

is the quantum of area ~ 10-66 cm2. It is one quantum gravity c-bit of Shannon information of the World Hologram.

is the classical gravity radius for the event horizon ^{[13] <http://stardrive.org/math4/>} of a non-rotating black hole of mass M

is the quantum “Compton wavelength” of the mass M. If you probe a region inside this distance you create real particles and anti-particles of mass M.

is the superstring tension also called the reciprocal of the “spacetime stiffness factor” because Einstein’s local geometrodynamical field equation is

The cosmological "constant"  (not really constant) has dimensions of 1/Area.

Up until recently ^{[14] <http://stardrive.org/math4/>}  observation set a limit

Where is the Hubble constant. Therefore is the World Hologram “area” ~ 10122 bits.

The Wigner phase space density W(x,p)

 at "wavelet" scale factor p can have sub-Planckian structure as shown by W. Zurek in Nature, Aug 2001.

Think of adding resistances in a parallel circuit

or

Dark matter is / < 0 corresponds to macro-quantum weird gravitating vacuum where the normal fluid Wigner phase space density is negative from giant superfluid macro-quantum interference in the virtual fermion-antifermion bound state local order parameter of spontaneous broken symmetry from false 100% normal fluid high entropy micro-quantum random vacuum to two fluid macro-quantum lower entropy true vacuum.

Hawking's anti-gravitating "vacuum energy" is / > 0, e.g. "the effect of vacuum energy is the opposite of that of matter ... vacuum energy causes the expansion to accelerate" p. 96. Note the sign dependence. Anti-gravitating / > 0 decreases the effective mass and it also decreases the effective holographic entropy. Gravitating / < 0 dark energy does just the opposite.

Therefore

Is the quintessent field correction to the effective mass.

Similarly for holographic Hawking entropy and absolute temperature of the horizons and holographic areas in general.

These are my quintessent / field corrections, or renormalizations, for quantum gravity thermodynamics started by Bekenstein and further developed by Hawking & Co

/ > 0 decreases black hole entropy and increases black hole temperature.

/ < 0 increases black hole entropy and decreases black hole temperature.

 is the electromagnetic control renormalization factor for the macro-quantum vacuum of Curve World that comes from the spontaneous breakdown of the global symmetry of micro-quantum Flat World. This is analogous to my 1966 UKAERE paper with Marshall Stoneham on the “Goldstone Theorem and the Jahn-Teller Effect”. Note the Bohm-Aharonov-Josephson phase integral in the coherent sum over both future and past Feynman destinies and histories, respectively ending on event x in the “here-now”.

For now I only include the electromagnetic field and the virtual electron-positron pairs that Bose-Einstein condense into the same cell in phase space of volume ~ h3 in the center of mass coordinate. The relative coordinates are integrated out. I then form the virtual superfluid Wigner phase space density[18]  of the macro-quantum vacuum substrate of the classical Einstein world from this nonrandom zero entropy coherent order parameter[19]

There is also a corresponding virtual incoherent random “zero-point fluctuation” normal fluid component that carries all the entropy. The virtual superfluid component of the physical vacuum’s Wigner phase space density has zero entropy which explains the mystery of the arrow of time.

Negative regions of the Wigner phase space density of the “normal fluid” random virtual zero point fluctuations are the gravitating dark matter regions of .

We are free to choose complementary window 4-cell widths with as center points in a wavelet analysis. The window cell sizes in ordinary curved spacetime emerging from the long-range macro-quantum phase coherence must be small compared to the four local principal radii of curvature in a neighborhood of .

Einstein’s scale-dependent classical curved spacetime metric tensor is

Where { , } is the anti-commutator. Note that I have derived of Abdus Salam’s “f-strong-short range gravity” model[20]  from the 1970’s that was the precursor for modern ideas of strong gravity from extra hyperspace dimensions.

The false micro-quantum vacuum of "Flat World" is from gauge source and force fields. There is no gravity as yet which is, as Andre Sakharov first suggested, an emergent macro-quantum collective mode - indeed Einstein's 1915 "geometrodynamic" local field theory of gravity is a "signal modulation" of the stable long range coherent phase of a virtual Bose-Einstein condensate of a huge number of gauge source fermion-antifermion pairs whose centers of mass macroscopically occupy the same "mother wavelet" bound state. Special relativity works globally in the false vacuum of Flat World.

Think of the false vacuum of Flat World as a ball, i.e. a Fermi sphere in momentum space, of virtual electrons closely packed into negative energy states, i.e. the "Dirac Sea" as required by the Pauli exclusion principle. There are also virtual photons but they play a minor role for now. To make life simpler in this broken (symmetry) toy model of the world, let's suppose there is only quantum electrodynamics. We can worry about the complications of weak and strong forces later. The edge of this Fermi sphere is not sharp because of Heisenberg's uncertainty principle. Indeed the edge is fuzzed out with locally uncontrollably random quantum noise by a thickness of momentum ~ 2mc below the threshold for real electron-positron pair creation, where m is the rest mass of the electron. The edge of the Fermi sphere has momentum pf ~ h/Lp, where Lp2 ~ hG/c3 ~ 10-66 cm2 ~ 1 Bekenstein-Hawking bit of entropy. Therefore, what we have is a fuzzy noisy spherical shell of phase space volume ~ 4π(h/Lp)2(2mc)V = 4 π h2(c3/hG)(2mc)V = 4πh(c3/G)(2mc)V = 8  πhm(c4/G)V. There is an addition spin factor 2S + 1 = 2. So the phase space volume of the fuzzy Heisenberg edge of the Fermi-Dirac sea is ~ 16 πhm(c4/G)V. Note that c4/G is the super string tension of 1019 Gev per 10-33 cm (AKA reciprocal spacetime stiffness factor). Each “single-particle”[21]  cell of phase space has volume h3 therefore the false vacuum density of Planck action cells of phase space is 16 π(mc/h)(c3/hG) per unit ordinary space volume. The attractive Coulomb bound state energy of the virtual electron-positron (hole) pair is ~ -e2/(h/2mc). Therefore, the total "superconducting" energy density gap is:

Superconducting macro quantum vacuum "BCS" energy gap density

~ - 8π(mc/h)2(c3/hG)e2

= - 8πe2/(Compton wave length of electron)2(Planck area)

= - 8π(fine structure constant)mc2/(Compton wavelength)(Planck area)

Note that the ratio [(Planck area)/(fine structure constant)]1/2 i.e. is the Kaluza-Klein hyperspace compactification scale. Note that the superconducting vacuum energy gap density whilst enormous by everyday standards is still ultra tiny ~ 10-45 relative to the quantum gravity Planck energy density. In my new theory here there is never any direct quantization of the classical gravity field, which is an emergent collective macro-quantum mode out of this spontaneous broken symmetry of the gauge force and source fields in the false unstable micro-quantum vacuum of global special relativity. Thus, I complete what Andre Sakharov started in Moscow in 1967. The theory here can be called the “PV theory of gravity” where “PV” stands for “Polarized Vacuum” not what Hal Puthoff has called “PV gravity”[22]  which is purely a metaphor in a classical phenomenology with no quantum physics in it.

How interesting!

Since everything must be scale-dependent, I make a leap of faith for now that I have not completely justified mathematically, but one can see precognitively[23] , i.e., intuitively, where this is all heading. We now see where the “wavelet”[24] macro-quantum order parameter comes from. The phase of gives Einstein's classical Curve World geometrodynamic “wavelet” field along the lines shown by Hagen Kleinert of the Free University of Berlin. The amplitude of give the renormalized quintessent “wavelet” field that explains, I say:

1. Why the universe accelerates i.e.,
2. What dark matter is i.e.,
3. How to make Star Gate time travel machines to past, future and parallel brane worlds like the Universe Next Door[25] of Jacques Vallee's "Magonia" where the UFOs allegedly come from?
4. How to make weightless warp drive. (Clue: near field version of Ray Chiao's "gravity radio"[26] ?)

5. Why the arrow of time, i.e. low entropy early universe.

This is the real PV (Polarized Vacuum) theory of gravity not the False Idol, that still born thing, that Hal Puthoff has been Hawking.

Don't be put off by skim milk masquerading as cream! [27]

Exact supersymmetry is invoked to keep the sum of all zero point energy densities of all fields zero. However supersymmetry is broken so it is not clear if the argument works. The argument would go something like this. Take a toy universe with only electrons and photons. The boson photon has spin 1. Therefore, it has 3 independent spin polarizations tripling the number of field oscillators in a given quantized region of the lattice field oscillator phase space.[28]  Each field oscillator has a cell area in phase space. Each cell holds 2S + 1 field oscillators of a given type where the spin of the field is S. The photon’s supersymmetry fermion partner is the spin “photino” with two spin components. There is also the electron field with two more fermion spin components. Finally, the electron has a spin 0 partner the electrino with only one boson spin component. Therefore, each cell in phase space has four fermion spin components of gravitating negative zero point energy and four boson spin components of anti-gravitating zero point energy. This gives an ordinary non-gravitating vacuum. However, if we can control this balance we have something stupendous! This is the End of The Beginning of Our Conquest of Super Cosmos as we transform to “The Masters of Hyperspace”.[29]

To be continued.

Wormhole Technology

The history of Wormhole Construction

Wormholes are the most immediately impressive result of picotech and femtotech. Using exotic matter to control spacetime curvature they provide near-instant transportation across interstellar distances

Originally they were postulated in the second millennium, but they remained a dream for centuries. The main problems were how to create the exotic matter, how to catch a quantum-wormhole, generate enough energy to blow it up to macroscopic size, and, hardest of all, to ensire that only a minimal amount of exotic matter is required to keep it open.

The problems was actually solved in a number of stages.

The creation of exotic matter in the first place was well within the boudaries of AIs using picotech machinery to compress and transform ordinary matter into exotic matter. The rather misleadingly-named "Dark Matter Miner" (actually a Strange Matter converter) developed by Picolect Space Development proved very useful here, and made the start-up venture an instant system-spanning megacorp. (Picolect Space Developments was later to make some bad moves during the First Consolidation War, and the netire megacorp was destroyed thru stealth AI virus subversion. The original PicoSD AI complex is believed to have escaped and now residing somewhere in the Outer Volumes)

Despite being very energy inefficent, Dark Matter Miner clones, only minimally modified from the original specifications, are still in use, especially in the outer volumes. The device is basically a superturing AI in a massive fusion-powered nanomachine with a picotech head, the head chewing up ordinary matter, processing it and converting it into exotic matter bundles in self-contained magnetic field resonance containers.

With picotech exotic matter and zero point energy the problem of inflating a wormhole was solved by "borrowing" energy from the vacuum (the negative and positive energy cancel out exactly to give zero). Actually catching the Planck-scale wormholes constantly forming and dissolving in the spacetime foam turned out to be extremely challenging even for 4th singularity AIs.

During the interstellar expansion of the first federation many AIs and their megacorps were involved in widespread experiments with wormholes. Most took place in remote star systems in order to limit espionage, sabotage and the dangers of failed experiments - several wormhole opening experiments led to the destruction of whole planets as the exotic matter of unstable wormhole spontaneously converted into energy. The search led not just to many applications for picotech, exotic matter and new weapons but also to the first traces of femtotech.

Even more difficult was the problem of using a small enough amount of exotic matter to hold open the wrmhole mouth, without having to destroy gas giants or brown dwarves or entire stars in order to do so.

The problem was solved independently by a number of fourth singularity AI thinktanks and megacorporations including gNosis, Vega Geodesic, the now huge PicoSD R & D department, Hyperion Artilectonics, and Truth-Santaya Networks. All were working on various versions of the so-called StarPortal, essentially a vast quantum field phase array equaliser that sets up a harmonic scalar resonance field that amplifies the effect of the exotic matter struts, that enabled a stable wormhole mouth with only a relatively limited amount of exotic matter. Success was achieved in 4079 when the Vega Geodesic Triumvirate suceeded in opening and maintaining a 100-meter wormhole indefinitely

Because it is impractical to tow trillions of tons of exotic matter, the method was developed - still in use today - of using linelayer ships towing a much smaller "guide gate" which is then fitted into the main star gate structure that has already been assembled in the new star system. The artificial wormhole is then carefully inflated from there.

The new technology did not do away with some requitement for ordinary matter. An approximately 80 km diameter asteroid was still needed for a stable wormhole of 1 kilometer-wide wormhole. During the Age of Consolidation and the League of Empires period, this led to tremendous environmental destruction, with the big powers and megacorporations ravaging uninhabited star systems, mining them for mass which is converted to exotic matter and shipped back to the Capital where it is used to make more stargates.

After the Version War this solution was no longer possible, because the remaining asteroids were mostly inhabited, and there were too many destroyed stargates to replace. This led directly to the rise of the Sun Miner Culture, who skimmed the vast gaseous layers of stars (cool M-type dwarves were especially favoured).

During the ComEmp period the Sun Miners became especially powerful, and provided most of the exotic matter to rebuild the stargate nexus within the inner sphere. The Sun Miners have since schismed into a number of different clades, some actively hostile to each other, and their technology has also been adopted by most of the big powers, which further accelerated their downfall, at least in the Outer Volumes. In the Inner Sphere however the big Sun Miners clades like Helios, Surya, and Prometheus remain a respectable and important part of the interstellar economy.

Stargate Effect on Galactic Civilisation

As galactic society developed with local Federations, empires, and Dark Ages, the Stargates tended to keep things tied together so a catastrophe would effect everyone - however those empires outside the Stargate nexus would be immune or rather have their own seperate dark ages. Also, parts were broken off which could cause local dark ages. For example, in 5694 the Geteche system was attacked by an unusually virulent form of AI-viruses, developed by the now long defunct Hyperion-Charlwood alliance. The attack destroyed the local infrastructure and the governing AI, which led to the explosive destruction of all local wormhole gates. This broke off most of the links between the Orion arm and the young colonies in the Perseus arm. While the viruses were contained in the Orion arm and the perpetrators harshly punished, the remote colonies all succumbed. For several millenia they were isolated, often barbarous and only gradually reconnected to the main wormhole nexus.

Wormholes and Stargates today

Creating a wormhole is today done using a Weylforge. Weylforges are massive, temperamental and energy-consuming systems, usually tended by their own internal AIs. Practically all are megascale structures in stellar orbits, collecting energy as antimatter for the next time they are to be used. As they are activated, enormous amounts of energy is converted to zero point energy in order to blow up a quantum wormhole and then converted into exotic matter. If the process works the result is two wormhole mouths held stable by exotic matter frames. If it fails the least that will happen is a major detonation

Moving wormholes is possible, and interstellar links are usually laid down using special wormhole transport ships that transport newly opened wormholes from the origin system to their destination. Moving a wormhole through another is possible if done very carefully, but usually it requires at least picotech AI to handle the complex forces and interactions

Wormholes usually look like kilometer-sized polyhedrons of equipment, with the open faces showing a distorted view of the other end. By flying through the hole a ship emerges at the other end, an usually quick if slightly unsettling experience as tidal forces stretch and twist the ship. Surrounding the wormholes are usually massive space installations housing ferries, docking facilities, military defense, business, traffic control and maintenance systems. They are not unlike the major international airports of old Earth, especially since different wormholes tend to be clustered together in the same orbit for ease of transport.

^{Alıntı: ''wormhole technology'' ; internet sayfasından alınmıştır.}