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Defense Intelligence Reference Document Antigravity For Aerospace Applications

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This Defense Intelligence Reference Document (DIA-08-1003-018), dated 30 March 2010, was produced by the Defense Intelligence Agency as part of its FY 2009 Advanced Aerospace Weapon System Applications (AAWSA) Program. It reviews theoretical approaches to antigravity for aerospace propulsion, drawing on Newtonian physics, general relativity, cosmological dark energy and quantum vacuum effects. The report notes that no current technology can actively control gravity and that many concepts are far from practicable engineering.

  • p. 7 …9FFI~II k YE'lii 911k>C theoretical possibility of antigravity also appears in quantum gravity…
  • p. 11 …is the radius of the torus, and c is the speed of light (3 x 108…
  • p. 12 …at a relative velocity of vcr;1 > c/3 112 (11cn1 = critical velocity), will gravitationally repel…
  • p. 14 …is that PE> p; and/or PE :c: 0. These conditions represent two examples of what…
  • p. 15 …So the condition that PE > p1 and/or PE ::c: O must be obeyed by all…
  • p. 16 …G,., = R,.,. - (1/2)g",R = -(8:::G/c")T".' where G,". is the Einstein curvature…
  • p. 17 …for pc* to get the final result: , -?C- i = 4rr,G0r -(t.05x!O") ~ 8r (Jim…
  • p. 19 …Ac 4 f\,,c = SrrG Thus the terms "cosmological constant" and "vacuum energy" are essentially interchangeable…
  • p. 20 …during the expansion of space, therefore p, .. c = -pvac• In other words, the work done by…
  • p. 23 …attractive, will have coefficients ~ G(f/ 6/c") (for 6. K > 1 ), and therefore will not…
  • p. 24 …The resulting antigravity force (Fc."c, .... ) derived by Calloni et al. is (Reference 62): F, , ~ rr…
  • p. 26 …rr 0 Ahc( Sxd) G:,a,(Jr:n =- 720d 3 l+'z c 2 (27) in…
  • p. 29 …F1hn1>1 = (M,eh + m"N)g or F11oru,,lmANg ::c: 1, where F11uu,, is the…
  • p. 30 …antigravity forces as discussed in Section III-C-2 (see item 2 below for further discussion…
  • p. 32 …As described in Section III-C-1, this involves either the superposition of two single particle…
  • p. 34 …z/c) part of the beam and into the sinro(t - z/c) part (Reference…
  • p. 35 …The corresponding local vacuum state energy density ispE-i:"•" =-2nchc//c.j, where/, is the ZPF…
  • p. 36 …PcF = -Ahc I d-t, where A= C)D)/8rr.2 in spacetimes of arbitrary dimension…
  • p. 40 …QFFllil.t.l:: '1181!! 8HLY 16 Misner, C. W., Thorne, K. S., and Wheeler, J. A…
  • p. 41 …37 Birrell, N. D., and Davies, P. C. W., Quantum fields in curved space, Cambridge Univ…
  • p. 44 …414-416. 83 Caves, C. M., "Quantum-mechanical noise in an interferometer," Physical Review 0, Vol…
UNCLASSIFIED//F9A: 9FFI~II k YE'lii 911k>C
theoretical possibility of antigravity also appears in quantum gravity theories,
cosmological vacuum or dark energy, and quantum field theory. This report reviews all
of these topics. The report will also review the topics of gravity control that include the
production of antigravity (self-lifting) forces induced by quantum vacuum zero-point
energy and by nonretarded quantum interatomic dispersion forces in a curved
spacetime (that is, in a background gravitational field). The reader should bear in mind
that many of these concepts are nowhere near having any form of practicable
engineering implementation. However, the report will provide theoretical estimates to
guide the way toward technological implementation of antigravity.
II. Concepts for Antigravity Within Newtonian Physics
The basic form of Newton's law of gravity is given by the standard expression for the
gravitational force (Fgra,) that mutually acts between two masses (Reference 1):
r ( 1)
where the negative sign indicates that F""" is a (mutual) force of attraction, C is
Newton's universal gravitation constant (6.673 x 10-11 Nm2/kg 2), m 1 and m 2 are two
interacting masses, and r is the radial distance between the two masses (note: MKS
units are used throughout). Observe in Equation (1) that the force of gravity acting on
a small test mass becomes stronger when the other (gravitating) mass is larger in
magnitude or when the distance between them is very small, or both. Also recall that
Equation (1) and Newton's second law of motion (F = 111a) to define the magnitude of the
gravitational acceleration ag that acts on a small test mass 111 due to a larger
(gravitating) mass M (Reference 1):
GM
a~--
g r" (2)
If Earth is chosen to be the larger gravitating mass so that M=M@ (5.972 x 10 24 kg),
then according to Equation (2) a small test mass m placed near the Earth's surface,
whereby r::.::;R0 (6.378 x 106 m), will experience a downward gravitational acceleration
of ag = g = 9.81 m/s2 .
NEGATING NEWTONIAN GRAVITY
It is possible to design an antigravity machine that can nullify Earth's gravity field using
Newton's law of gravity. One way to use Equation (1) to nullify the Earth's gravitational
pull at a particular location would be to locate another planet of equal mass above that
location (Reference 2,3). The forces from the two Earth masses will cancel each other
out over a broad region between them. Everything within this broad region will be in
free fall. However, this is not a practical solution for aerospace flight since there is no
way to manipulate and control another planetary sized body.
Along similar lines, Forward (Reference 2,3) suggested to consider using a ball of
ultradense compact matter, corresponding to dwarf star or neutron star matter ( ~ 1011
- 10 18 kg/m 3), having a diameter of 32 cm and a mass of 4 million metric tons. This
ultradense ball will have a surface gravitational (attractive) force of 1-i. This small
2
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