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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.

UNCLASSIFIED/ /POI\ OPPICIJIIL YSIE 8Hllf
must give the position or the momentum distribution, respectively. Furthermore, if one
performs a phase shift 8 all complex amplitudes aare shifted in phase, §§§ meaning that
the components q and p rotate in the 2-dimensional phase space (q,p). A classical
probability distribution for position and momentum values would rotate accordingly.
This fact leads to the postulate that the position probability distribution pr(q,8) after an
arbitrary phase sh ift 8 should be [38]
pr(q,0) = (qJOce)p 0\ e)J q)
(10)
= f: w( qcos0-psin0,qsin0+pcos0)dp,
where p is the quantum density operator (or density matrix) which describes the
statistical (or most general) state of a quantum system. The first line in Eq. (10) is the
quantum expectation value of the phase-shifted p, which simply gives the probability
distribution for the q-eigenstates to occu r with probabilities p q (the elements of p).
This single formula joins W(q,p) with quantum mechanics. It ties W(q,p ) to observable
quantities, and it links quantum states to observations .
It is beyond the scope of this report to repeat the entire mathematical development of
the explicit functional representations, identities, transformations and modifications of
W(q,p). The reader should consult Reference [38] for more information. However,
Figures 4 through 7 provide an example of what the experimentally reconstructed
Wigner function visually looks like from the quantum optical homodyne tomography of
the following cases of interest: a vacuum state, a coherent state, a squeezed vacuum
state, a single photon, and Schrtidinger cat states. The Schrtidinger cat states are a
very interesting case study of unusual nonclassical states of light that have been
experimentally measured via quantum optical homodyne tomography.
§§§ The unitary phase shifting operator is U(0) = exp(- i0ii), where ii is the photon number operator and e is the
phase shift angle . Its action on the amplitude ais: u \ 8)11U(8) = 11e.>.p(- i0) .
UNCLASSIFIED/ /FOR 0661CIAk W&IE 8HLY
18

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