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.
UNCLASSIFIED/ /P9R: 9PPl!ltllt t!l91!! 9HLY 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 UNCLASSIFIED/ /FQA QFFlfalPk llili Oalk¥
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Report, from the dia collection. The PDF is mirrored here; the original link is above. 42 pages are in the text index: search them above, or from the library's search.