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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…
UNCLASSIFIED//FIHl 8FFHil.t.k Wfili IH.k\f
where Jh is the outward radial pressure required to hold a wormhole throat open. The
Gauss-Bonnet Theorem (discussed in Section II-A) predicted this result beforehand.
Equation (11) is a result that is also due to the intrinsic nonlinearity of the general
relativistic field equation. This nonlinearity also impacts the coupling of a finite
spaceship mass with each side of a wormhole's throat (or the mouth on each side of the
throat) leading to a specialized mass conservation law for the combined system of
spacecraft and wormhole: when finite mass spaceships traverse a wormhole they alter
the (equivalent) mass of the wormhole mouths they pass through (Reference 3). The
entrance mouth absorbing the spacecraft gains (equivalent) mass while the exit mouth
emitting it loses (equivalent) mass.11 (This mass coupling and conservation law takes
into account the possibility that spaceships traversing the wormhole may lose or gain
some momentum and kinetic energy in the process, and it is assumed that the two
mouths are sufficiently far apart that their mutual gravitational interaction is
negligible.) This unusual result suggests, but does not prove, the possibility of a
fundamental limit on the total mass that can traverse a wormhole. The coupled mass
conservation law shows that for a sufficiently large net transfer of mass the final
(equivalent) mass of the exit mouth becomes negative. This is actually a beneficial
result because ANEC violations are required just to hold the wormhole throat open in
the first place. If it appears that a runaway reaction might occur, then it would be
prudent for wormhole engineers to simply "turn off" the wormhole for a brief moment
and then "turn it back on" (i.e., "reset" the wormhole) to restart space transportation
operations.
It is on the basis of the foregoing discussion that traversable wormholes appear to be
the most viable form of FTL transport. However, one still does not know how to
construct a traversable wormhole because general relativity theory only provides a
recipe for the essential geometric and material ingredients required to open and
maintain one, but not the required assembly instructions. Will one need to pull a
traversable wormhole out of the quantum spacetime foam and enlarge it to
macroscopic scale or will there be need to use extremely large spacetime curvatures to
"punch a hole" through space? Or are there construction techniques yet to be
identified? The author is convinced that the answer can only be found through empirical
studies designed to decide whether the present general relativistic recipe is enough to
work with or an additional construction mechanism will be required.
On physical grounds Equation (10) appears to be the correct negative energy/energy
condition violation quantifier. However, further work is needed to establish whether
Equation (10) is the correct quantifier to use overall and whether all (averaged) energy
condition theorems can be extended to include it.
On another note, Borde et al. (Reference 65) have recast the QI conjecture into a new
program which seeks to study the allowed spatial distributions of negative energy
density in quantum field theory. Their study models free massless scalar fields in flat
two-dimensional Minkowski spacetime. Several explicit examples of spacetime averaged
QI were studied to allow or rule out some particular model (spatial) distributions of
negative energy. Their analysis showed that some geometric configurations of negative
energy can either be ruled out or else constrained by the QI restrictions placed upon
11 Similar coupling and conservation results hold for the case of electrically charged matter that traverse a (charged
or uncharged) wormhole.
24
UNCLASSIFIED/ /P8R 8PPU!l"I!! l!l!il! 8111!!¥

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