Documents / Report
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.
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UNCLASSIFIED/ ,'1"1!11'- l!ll"l"!!!llit 1!1!11!! 811LY 4 S' ~-_c_(K' -B'K') ' 4nG ! ' ' where the second fundamental form K ', is a matrix that represents the extrinsic curvature of en (telling how the wormhole throat is curved with respect to the enveloping four-dimensional spacetime), fr, is the three-dimensional unit matrix, and K \ is the trace (sum of diagonal matrix elements) of K 'i. 3 K ' 1 is a diagonal matrix (2) having the two principal radii of curvature, p1 and p2, of the thin shell as its components (see Figure 5). S '1 may be interpreted in terms of the thin shell's surface energy density rr and principal surface tensions, ih and Ft2, which are also diagonal matrix components. thin shell of mass-energy pl p2 Figure 5. A Thin Shell of (Localized) Mass-Energy Possessing Two Principal Radii of Curvature, p1 and p,. Equation (2) is solved and the components of S ;i are found to be (Reference 8): (3a) 'The Latin indices (i, j, k = 0 ... 2) denote three-dimensional hypersurface coordinates, x:O . .x', such that x', x' = space coordinates and x 0 - time coord,nate. 6 UNCLASSIFIED/ 1<F&R: arrI&IAk H!H!! 8HLY
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