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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. 4 …A Stargate in Times Square ..................................................................... 9 Figure 9. Conceptual Squeezed Light Negative Energy Generator ........................ 14 Figure…
  • p. 5 …the study of traversable wormholes and the study of time machines. Wormholes are hyperspace tunnels through…
  • p. 6 …the Cosmic Neighborhood can encompass other universes, other space dimensions, and other times beyond the four…
  • p. 7 …The solution to this problem is to dispense entirely with long interstellar voyage times or the…
  • p. 8 …But time travel via wormhole is beyond the scope of this paper. Suffice it to say…
  • p. 9 …The desired requirements are the following (Reference 1, 3): • Travel time through the wormhole tunnel or…
  • p. 10 …The proper time of travel as measured by space travelers going through the wormhole is given…
  • p. 11 …specific moment of time (t = canst). The top of Figure 2 shows the embedding diagram for…
  • p. 12 …time axis). Then identify these two incomplete spacetimes along the timelike boundaries CQ x ~n. The…
  • p. 13 …Create the Wormhole Throat an (time is suppressed in this diagram) Figure 4. The Same Diagram…
  • p. 14 …3 K ' 1 is a diagonal matrix (2) having the two principal radii of curvature, p1…
  • p. 17 …The General Relativistic Definition of Exotic Matter and the Energy Conditions This section will consider the…
  • p. 19 …3), violations of the second law of thermodynamics (Reference 34, 35), and time machines (Reference 2…
  • p. 20 …the expense of increasing the noise in the conjugate observable; at the same time the variations…
  • p. 21 …w is the angular frequency of light, I is time, and: denotes the z-axis direction…
  • p. 27 …product space), where ~H is the real line defining the time dimension for this particular product…
  • p. 28 …If the acceleration varies with time, the conductor will generally emit or absorb photons (i.e…
  • p. 30 …The QI conjecture relates (via model dependent time integrals of the energy density along geodesics) the…
  • p. 31 …the initial negative pulse; and c) the longer the time interval between the two pulses, the…
  • p. 35 …for extended periods of time over extended spatial distributions for the purpose of engineering a traversable…
  • p. 37 …S., and Yurtsever, U., "Wormholes, time machines, and the weak energy conditions," Physical Review Letters, Vol…
  • p. 38 …R., The Large-Scale Structure of Space-Time, Cambridge Univ. Press, Cambridge, 1973, pp. 88-91…
  • p. 39 …H., "Quantum coherence effects and the second law of thermodynamics," Proceedings of the Royal Society of…
  • p. 40 …K., "Demonstration of the Casimir Force in the 0.6 to 6 μm Range," Physical Review…
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results that are similar to the static case.) This relation will help to decide if a
traversable wormhole having one throat, or two or more throats should be built and at
what energy cost this will incur.
The following is the result of our analysis for traversable wormholes having:
• 1-handle/throat (i.e., flat torus or spherical wormhole topology) giving g = 1, thus
Xe = 0, and so U-::;; 0
• 2-handles/throats giving g = 2, thus xe = -2, and so U:;; -1/2
• 3-handles/throats giving g = 3, thus xe = -4, and so U:;; -1; and so on.
It is clear from this that as the number of wormhole handles/throats increases the
amount of negative energy required to create the wormhole will grow larger in
magnitude. This is an undesirable demand on any putative negative energy generator.
It is clear then that item (a) defines the most desirable engineering solution one can
hope for: a 1-handle/throat traversable wormhole that will require zero or (arbitrarily)
little negative energy to create. The magnitude of energy condition violations and the
amount of negative energy required to build a traversable wormhole will be addressed.
B. THE "STARGATE" SOLUTION
It is a straightforward exercise to design a real "stargate" from wormhole physics. A
stargate is essentially a traversable wormhole with a flat-face shape for the throat as
opposed to the spherical-shaped throat of the Morris and Thorne wormhole as discussed
in the previous section. A traveler going through a stargate will simply be shunted into
another remote spacetime region within our universe or into another universe.
The flat-face traversable wormhole solution is derived from the thin shell (a.k.a.
junction condition or surface layer) formalism of the Einstein field equation (Reference
6, 7). The procedure is to take two copies of flat Minkowski space and remove from
each identical regions of the form n x ~H, where n is a three-dimensional compact
spacelike hypersurface and ~l\ is a timelike line (time axis). Then identify these two
incomplete spacetimes along the timelike boundaries CQ x ~n. The resulting spacetime is
geodesically complete and possesses two asymptotically flat regions connected by a
traversable wormhole. The throat of the wormhole is just the junction on, which is a
two-dimensional space-like hypersurface, at which the two original Minkowski spaces
are identified (see Figures 3 and 4).
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