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AAWSAP DIRD, Quantum Tomography of Negative Energy States in the Vacuum, January 2011

U.S. Department of War · 2011-01-11 · 51 pages · text from the file's own layer

This Defense Intelligence Reference Document, dated 11 January 2011, was prepared by the Defense Intelligence Agency's Defense Warning Office under the Advanced Aerospace Weapons System Applications program. It reviews negative, or sub-vacuum, energy found in the Casimir effect and squeezed light, and describes quantum optical homodyne tomography for measuring it. It proposes balanced homodyne detector systems to map negative energy. It also suggests that arrays of such sensors could detect anomalous aerospace platforms that use engineered spacetime effects for propulsion.

From the source: Release of 2026-09-18 Incident: 1/11/11, 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 how negative-energy, or “sub-vacuum,” states in quantum fields might be detected and mapped. Its practical scope is limited to the laboratory-scale measurement of minute quantum effects, though it extrapolates from those effects to consider theoretical relevance to concepts such as warp drives, wormholes, or gravitational control. By reviewing previously identified laboratory examples such as the Casimir effect and squeezed light states, the report identifies the core technical challenge as mapping their spatial and temporal structures reliably. To address this, it proposes quantum optical homodyne tomography as a method to reconstruct and quantify the vacuum fluctuations associated with these states. The document acknowledges that only microscopic, transient negative-energy effects have been realized in laboratory settings. It remains unknown whether larger or longer-lived distributions of such effects can be generated or stabilized, particularly given the experimentally unresolved constraints imposed by quantum inequalities. Overall, this DIRD functions as a measurement- and diagnostics-oriented review intended to lay experimental groundwork for a far more ambitious, highly speculative negative-energy research agenda.

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Morris and Thorne [8] and Caves [ 45] point out that if one squeezes the vacuum, i.e., if
one puts vacuum rather than laser light into the input port of a squeezing device, then
one gets at the output an electromagnetic field with weaker fluctuations and thus less
energy density than the vacuum at locations where cos 2[ co(t- z/c)] ~ l and
sin2 [ co(t- z/c)] < < 1; but with greater fluctuations and thus greater energy density
than the vacuum at locations where cos2[ co(t-z/c)] << 1 and sin2 [ co(t - z/c)]~1.
Since the vacuum is defined to have vanishing energy density, any region with less
energy density than the vacuum actually has a negative (renormalized) expectation
value for the energy density. Therefore, a squeezed vacuum state consists of a
traveling electromagnetic wave that oscillates back and forth between negative energy
density and positive energy density, but has positive time-averaged energy density.
In quantum optics the squeezed state is generated by the unitary squeezing operator :
(5)
where sis a rea l number that parameterizes the deviation of the variances !),,q and !),,p
from their vacuum values and is called the squeezing parameter. From Eq. (5) we
obtain the squeezed vacuum state lcp) = S(~) IO). The squeezing operator S(~) is simply
an evolution operator that describes the result of the nonlinear squeezing interaction
Hamiltonian H im =x( b*a2 - bat2 ). The squeezing parameter~ contains the product of
the amplitude b, the coupling constant X, and the interaction time.
But this is not the entire story . Since we will be dealing with high-quality lasers in what
follows, we also need to know about another important quantum optics operator that
acts on coherent states. We introduce the unitary displacement operator
D(a)=exp(aa: -a·a). D(a) displaces the amplitude a by the complex number a
according to b\a)aD(a)=a + a. To show why D(a) has anything to do with coherent
states, we apply a negative displacement to la). From the basic property of D(a), we
see that
abc-a) la) =D(-a)Dt(-a)GD(-a) la)
= be- a) (a- a)Ia) (6)
= 0.
Equation (6) equals zero because of the definition Eq. (3) of coherent states. This
result implies that D(-a)la) = I0), which is the vacuum state. Therefore, coherent
states Ja) are displaced vacua la) = D(a) J0). This does not mean that coherent states
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Official release, from the pursue collection. The PDF is mirrored here; the original link is above. 51 pages are in the text index: search them above, or from the library's search.