Zero Point Energy Gravity Physics

Of UFOs, Star Gates, Time Travel and Parallel Brane Worlds

 

A Pedagogical Introduction

By

Jack Sarfatti

Click on the equations to make them bigger.[1]

 

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

2.     Einstein’s General Theory of Relativity in the Galilean-Newtonian Limit 3

3.     Hawking’s Holographic Universe Equations. 6

4.     The Macro-Quantum Vacuum.. 15

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

 

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

 

The static near field[2] Green’s function is

 

(1.1)

 

where

 

(1.2)

 

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]

 

(1.3)

 

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

 

(1.4)

 

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

 

(1.5)

 

In the special case of an isolated point mass source

 

(1.6)

 

(1.7)

 

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.

 

2.   Einstein’s General Theory of Relativity in the Galilean-Newtonian Limit

 

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

 

(2.1)

 

Where  is the mass density and  is the pressure.[8] The trace[9] 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.

 

(2.2)

 

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

 

(2.3)

 

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

 

(2.4)

 

Where , therefore

 

(2.5)

 

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

(2.6)

 

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.,

 

(2.7)

 

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

 

(2.8)

 

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

 

(2.9)

 

 

Field

Sign of  

Vacuum gravity

Boson

Positive

Repulsive

Fermion

Negative

Attractive

 

 

The micro-quantum vacuum Poisson equation is then

 

(2.10)

 

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

(2.11)

 

Therefore,

 

(2.12)

 

Substitute (2.12) into (2.10)

 

(2.13)

 

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]

 

 

 

3.   Hawking’s Holographic Universe Equations

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.”

 

No, that’s not from Nick Herbert’s “Quantum Tantrum http://members.cruzio.com/~quanta/

 

It’s not from

 

http://stardrive.org/cartoon/coffee.html

 

It’s on p. 144 of Hawking’s new book.

 

Also one finds:

 

“It’s tricky to speculate openly about time travel. One risks either an outcry at the waste of public money… or a demand that the research be classified for military purposes. …There are only a few of us foolhardy enough to work on a subject that is so politically incorrect in physics circles. We disguise the fact by using technical terms that are code for time travel (p. 133) … we have no reliable evidence of visitors from the future. I’m discounting the conspiracy theory that UFOs are from the future and that the government knows and is covering up. Its record of cover-ups is not that good (p. 142)…. You might wonder if this chapter is part of a government cover-up on time travel. You might be right. (p. 153)”

 

Thus, Hawking sets the stage perfectly for my book “Destiny Matrix”

 

http://stardrive.org/Jack/cover.jpg

 

See also “The Star Gate Conspiracy” by Picknett & Prince.

 

http://www.templarlodge.com/

 

http://www.cassiopaea.org/perseus/bearden.htm

 

 

 

Previously Jack wrote:

Hawking gives two basic formulae for the world hologram entropy S and temperature T associated with classical curved spacetime that is effectively 3D rather than 4D (Ref: "The Universe in a Nutshell").
 

(3.1)

 
For our holographic universe pp 64-65 Hawking and
 
 

(3.2)

 
where for a nonrotating black hole 
 

(3.3)

 
 

 = 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] 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.