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AAWSAP DIRD, Traversable Wormholes, Stargates, and Negative Energy, April 2010

U.S. Department of War · 2010-04-06 · 42 pages · text from the file's own layer

This Defense Intelligence Reference Document, DIA-08-1004-004, is dated 6 April 2010. The Acquisition Support Division of the Defense Intelligence Agency's Defense Warning Office prepared it as one in a series of advanced technology reports from FY 2009 under the Advanced Aerospace Weapon System Applications Program. It reviews the physics of traversable wormholes and flat-faced "stargate" solutions, and it covers how negative energy might be generated in the laboratory. It concludes that the key technical challenge is identifying and producing exotic matter.

From the source: Release of 2026-09-18 Incident: 4/6/10, Las Vegas, Nevada. Released with redactions. This document is a Defense Intelligence Reference Document (DIRD), a technical reference format used by the Defense Intelligence Agency (DIA) to capture baseline knowledge on a specific topic for later analytic use. DIRDs are best understood as reference and synthesis products rather than as original research. It is one of 38 DIRDs produced under the Advanced Aerospace Weapon System Applications Program (AAWSAP) between 2009 and 2011. Because AAWSAP’s scope permitted a broad range of supporting topics, not every DIRD in the series directly concerns aerospace systems or future threat assessment. The following summary reflects the DIRD’s scope and framing at the time of writing and should not be read as implying current validation of the concepts discussed. This DIRD examines traversable wormholes and “stargates” as hypothetical spacetime structures within general relativity that theoretically offer a means of faster-than-light travel or communication. The report focuses extensively on the requirement for exotic, negative-energy matter to stabilize and keep such geometries open for the passage of macro-scale objects. It reviews standard wormhole models, describes a flat-throated “stargate” variant, and argues that violations of general relativity's standard energy conditions do not physically rule such structures out, citing microscopic, transient negative-energy effects observed in Casimir-type laboratory phenomena. However, the document acknowledges that the transition from microscopic quantum fluctuations to macroscopic engineering is an unresolved barrier. While small-scale negative-energy effects are observable, there is no known mechanism to generate, concentrate, or stabilize the amounts of exotic matter proposed to be required to sustain a traversable macroscopic wormhole. Ultimately, while the paper frames wormhole concepts within accepted relativistic physics, it confirms that the gap between theoretical models and any realizable technology remains enormous.

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II. A Brief Review of Transversable Wormholes and the
Stargate Solution
How does one study the physics of FTL spacetimes with in the framework of general
relativity t heory? When studying spacetime physics, the normal philosophy is to take
the general relativistic field equation, add some form of matter, make simplifying
assumptions, and then solve to deduce what the geometry of spacetime will be. 1 This is
very difficult to do because there are ten nonlinear second-order partial differential
equations with four redundancies (arbitrary choice of spacetime coordinates) and four
constraints (stress-energy conservation). There is a tremendous body of research that
takes exactly this approach, either analytically or numerically. However, this is not the
best strategy for understanding wormhole spacetimes. The appropriate strategy is to
decide beforehand on a definition of the traversable wormhole t hat you desire and
decide what the spacetime geometry shou ld look like. Given the desired geometry, use
the general relativistic field equation to calculate the distribution of matter required to
set up this geometry. Then one needs to assess whether the required distribution of
matter is physically reasonable and whether it violates any basic rules of physics, etc.
The following sections briefly outline the key results for traversable wormholes.
A. TRAVERSABLE WORMHOLES
Traversable wormholes represent a class of exact metric solutions of the general
relativistic field equation. The solutions are "exact" in the sense that no approximations
requiring a plethora of physical assumptions have to be made to derive the appropriate
spacetime geometry. To define a stable traversable wormhole one needs to define t he
desirable physical requirements it is to have in order to achieve the desired FTL travel
benefit. The desired requirements are the following (Reference 1, 3):
• Travel time through the wormhole tunnel or throat should be ::; 1 year as seen by
both the travelers and outside static observers.
• Proper time as measured by travelers should not be dilated by relativistic effects.
• The gravitational acceleration and tidal-gravity accelerations between different parts
of the travelers' body shou ld be ::; 1 go (go is the acceleration of gravity near t he
Earth's surface, 9.81 m/s2) when going through the wormhole.
• Travel speed through the tunnel/throat should be < c.
• Travelers (made of ord inary matter) must not couple strong ly to the material that
generates the wormhole curvature; the wormhole must be threaded by a vacuum
tube t hrough which the travelers can move.
• There is no event horizon at the wormhole throat.
1 The Einstein field equation is: Gμv"' R,,., - [(1/2) g,,., R] = -(S rcG/c4)Tμ, , where G,,, is the Einstein curvature tensor,
R,,., is the Ricci curvature tensor, R "' Rμμ (the trace of Rμ,,) is the Ricci scalar curvature, Tμv is the stress-energy
momentum tensor (a matrix quantity that encodes the density and flux of a matter source's energy and
momentum), G is Newton's universal gravitation constant (6.673 x 10-11 Nm2/kg 2), and c is the speed of light. In
simplest terms, this relation states that gravity is a manifestation of the spacetime curvature (Gμv) induced by a
source of matter (T,..). The Greek indices (μ, v = 0...3) denote spacetime coordinates, xo...x, , such that x1 ...x, =
space coordinates and xo"' time coordinate.
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