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Defense Intelligence Reference Document Traversible Wormholes Stargates And Negative Energy

Defense Intelligence Agency · 42 pages · text from the file's own layer

This Defense Intelligence Reference Document (DIA-08-1004-004), dated 6 April 2010, was produced by the Defense Intelligence Agency under its Advanced Aerospace Weapon System Applications (AAWSA) Program. It is one of a series of advanced technology reports from FY 2009. It reviews the general relativity physics of traversable wormholes and flat-faced "stargate" solutions for faster-than-light travel. It also covers the exotic negative energy these would need, proposed lab methods for generating it such as the Casimir effect and squeezed vacuum, and the constraints involved.

  • p. 3 …A Thin Shell of (Localized) Mass-Energy Possessing Two Principal Radii of Curvature, p1 and p2…
  • p. 4 …Negative Equivalent Mass Required for Traversable Wormhole .............. 22 iv UNCLASSIFIED/1«F&lil 8FFI&l11J.k…
  • p. 5 …Black holes are collapsed stars that have all their mass concentrated at an infinitesimal point where…
  • p. 7 …The mass ratio is the initial spacecraft mass (payload + structure + propellant) at launch divided by the…
  • p. 13 …of a thin shell of matter (or mass- energy) localized inside the wormhole throat 8D. (Reference…
  • p. 14 …thin shell of mass-energy pl p2 Figure 5. A Thin Shell of (Localized) Mass-Energy…
  • p. 17 …density, pE (= pc2, where pis the rest-mass density), that is less than or equal to…
  • p. 20 …One can in principle "Electron mass, m,, = 9.11 x 10-'' kg; electron charge, e = 1…
  • p. 24 …8m·s of the mass in question (whose 8 r, = 2GMk2 . According to general relativity theory…
  • p. 25 …For a solar mass black hole (radius of 2.95 km), the effect is still feeble…
  • p. 26 …81tr~ Mass of body (kg) rs (m) ,_ (m) PE-gsvac ( J / m 3 ) Sun = 2.00…
  • p. 29 …this quantity in terms of the equivalent mass (note: the energy density derived from the general…
  • p. 30 …Equation (9) shows that a mass of -0.71 M1 will be required to build a…
  • p. 32 …when finite mass spaceships traverse a wormhole they alter the (equivalent) mass of the wormhole mouths…
  • p. 41 …E., "Wormholes, Gamma Ray Bursts and the Amount of Negative Mass in the Universe," Modern Physics…
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one can call this material property "exotic." The condition for ordinary, classical (non-
exotic) forms of matter that all are familiar with in nature is that PE > p; and/or PE 2 0.
These conditions represent two examples of what are variously called the "standard"
energy conditions: Weak Energy Condition (WEC: PE :c: 0, pE + Pi :c: 0), Null Energy
Condition (NEC: PE+ P1 2 0), Dominant Energy Condition (DEC), and Strong Energy
Condition (SEC). These energy conditions forbid negative energy density between
material objects to occur in nature, but they are mere hypotheses. Hawking and Ellis
(Reference 11) formulated the energy conditions in order to establish a series of
mathematical hypotheses governing the behavior of collapsed-matter singularities in
their study of cosmology and black hole physics. More specifically, classical general
relativity allows one to prove lots of general theorems about the behavior of matter in
gravitational fields. The impact or implications of the DEC or SEC will not be considered
because they add no new information beyond the WEC and NEC.
The bad news is that real physical matter is not "reasonable" because the energy
conditions are in general violated by semiclassical quantum effects (occurring at order
11) (Reference 3). 5 More specifically, quantum effects generically violate the average
NEC (ANEC). Furthermore, it was discovered in 1965 that quantum field theory has the
remarkable property of allowing states of matter containing local regions of negative
energy density or negative fluxes (Reference 12). This violates the WEC, which
postulates that the local energy density is non-negative for all observers. And there are
also general theorems of differential geometry that guarantee that there must be a
violation of one, some, or all of the energy conditions (meaning exotic matter is
present) for all traversable wormhole spacetimes. With respect to creating traversable
wormhole spacetimes, "negative energy" has the unfortunate reputation of alarming
physicists. This is unfounded since all the energy condition hypotheses have been
experimentally tested in the laboratory and experimentally shown to be false - 25 years
before their formulation (Reference 13).
Further investigation into this technical issue showed that violations of the energy
conditions are widespread for all forms of both "reasonable" classical and quantum
matter (Reference 14-18). Furthermore, Visser (Reference 3) showed that all (generic)
spacetime geometries violate all the energy conditions. So the condition that PE > pi
and/or PE :c: O must be obeyed by all forms of matter in nature is spurious. Violating the
energy conditions commits no offense against nature. Negative energy has been
produced in the laboratory and this will be discussed in the following sections.
A. EXAMPLES OF EXOTIC OR "NEGATIVE" ENERGY FOUND IN
NATURE
The exotic (energy condition-violating) fields that are known to occur in nature are:
• Static, radially-dependent electric or magnetic fields. These are borderline exotic, if
their tension were infinitesimally larger, for a given energy density (Reference 11,
19).
• Squeezed quantum vacuum states: electromagnetic and other (non-Maxwellian)
quantum fields (Reference 1, 20).
5 Planck's reduced constant, 11 = 1.055 x 10-34 J-s.
10
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