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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.
“The Times”24 pages
UNCLASSIFIED//F81il 8FFHil.l1k WE'lii Si'llk>C =-(l.35xl0c7kg) l,hmat I meter (9) =-(0.7]MT) ],hrn,LI I meter where M"1, is the (equivalent) mass required to build the wormhole, lcthroat is a suitable measure of the linear dimension (width or diameter) of the throat, and MJ is the mass of the planet Jupiter. One can also obtain the required energy, Ei11, by multiplying both sides of Equation (9) by c2 . Equation (9) shows that a mass of -0.71 M1 will be required to build a wormhole 1-m in size. As the wormhole size increases, the mass requirement grows negative-large. Table 2 presents a tabulation of the required negative (equivalent) mass as a function of sample wormhole throat sizes. After being alarmed by the magnitude of the results, one should note that Mw11 is not the total mass of the wormhole as seen by remote observers. The non-linearity of the general relativistic field equation dictates that the total mass is zero (actually, the total net mass being positive, negative or zero in the Newtonian approximation depending on the details of the negative energy configuration constituting the wormhole system). Finally, Visser et al. (Reference 59) demonstrated the existence of spacetime geometries containing traversable wormholes that are supported by arbitrarily small quantities of negative energy, and this was proved to be a general result. The next section will expand on this further. Table 2. Negative Equivalent Mass Required for Traversable Wormhole Athroat (m) Mwh 1000 -709.9 Mi 100 -71 M1 10 -7.1 M1 1 -0. 71 M1 0.1 -22.6 Mr- 0.01 -2.3 M, MJ = 1.90 x 1027 kg, Mo = 5.98 x 1024 kg B. PHYSICAL CONSTRAINTS ON NEGATIVE ENERGY The Quantum Inequalities (QI) conjecture is an extension of the Heisenberg Uncertainty Principle to curved spacetimes. Much research has been conducted around this one topic alone. The literature is too numerous to cite here but the reader should consult (Reference 10) and (Reference 46) for detailed information. The QI conjecture relates (via model dependent time integrals of the energy density along geodesics) the energy density of a free quantum field and the time during which this energy density is observed. This conjecture was devised as an attempt to quantify the amount of 22 UNCLASSIFIED/;<FSi'A Si'FFIGIAk Wli'lii Si'Hkl:f
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