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Defense Intelligence Reference Document Quantum Tomography Of Negative Energy States In The Vacuum

Defense Intelligence Agency · 51 pages · text from the file's own layer

This Defense Intelligence Reference Document from the Defense Intelligence Agency is dated 11 January 2011. It was produced in FY 2010 under the Advanced Aerospace Weapons System Applications (AAWSA) Program. It reviews negative, or sub-vacuum, energy found in squeezed light and the Casimir effect, and explains quantum optical homodyne tomography as a way to measure and map that energy in the lab. It proposes balanced homodyne detector arrays that could help detect anomalous aerospace platforms using engineered spacetime propulsion.

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Casimir_?---Y V /
plates acuum
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Figure 2. Schematic of the Casimir Effect.
It turns out that there are many different types of Casimir effects found in quantum
field theory [20-22, 26-28, 51]. For example, if one introduces a single infinite plane
conductor into the Minkowski (flat spacetime) vacuum by bringing it adiabatically from
infinity so that whatever quantum fields are present suffer no excitation but remain in
their ground states, then the vacuum (electromagnetic) stresses induced by the
presence of the infinite plane conductor produces a Casimir effect. This result holds
equally well when two parallel plane conductors (with separation distanced) are
present, which gives rise to the familiar Casimir effect inside a cavity. Note that in both
cases, the spacetime manifold is made incomplete by the introduction of the plane
conductor boundary condition(s). The vacuum region put under stress by the presence
of the plane conductor(s) is called the Casimir vacuum. The generic expression for the
energy density of the Casimir effect is Pee= -Ahcd-4 , where A= C,(D)/8n 2 in
spacetimes of arbitrary dimension O [20-22]. The appearance of the zeta-function C,,(D)
is characteristic of expressions for vacuum stress-energy tensors, T,~~ .ttt In our
familiar 4-dimensional spacetime (D = 4) we have that A= n 2n20. To calculate
for a given quantum field is to calculate its associated Casimir effect.
We should also point out that the methods used to obtain the quantum vacuum
electromagnetic T/1
~~ between parallel plane conductors can also be used when the
conductors are not parallel but are joined together along a line of intersection. If the
conductors have curved surfaces instead, then one obtains results that are similar to
the case of intersecting conductors. These geometries have also been evaluated for the
,-, The Greek tensor indices (p, v = Q__ 3) denote spacetime coordinates, x'l .. x 3, such that x1 x 3 = space
coordinates and x" = time coordinate. Note in general that T 0'' = p~_ (field e,iergv de,isity).
14
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