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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.

  • p. 5 …A first step in this direction was already taken by Hansen et al. 4 in 2001…
  • p. 38 …Time-domain BHD resolves th is limitation. Hansen et al. 4 describe their experimental time-domain…
  • p. 39 …mode that matches that of the LO. Hansen et al. 4 point out that time-domain…
  • p. 47 …Nearly a decade ago, Hansen et al. 4 reported on their experimental time-domain (or pulsed…
  • p. 50 …1016-1022. 4 Hansen, H., et al. (2001), "Ultrasensitive pulsed, balanced homodyne detector: application to time…
UNCLASSIFIED/ /FOR 0551CIAk l::181: 8HLY
Balanced Homodyne System for Casimir Cavities
What has not been experimentally measured yet are the sub -vacuum fluctuations and
their (negative) energy density inside a Casimir cavity. Marecki (5, 6] theoretically
eva luated the use of BHDs for this purpose. He proposed that a BHD can be used to
detect and spat ially map the sub-vacuum fluctuation region inside a Casim ir cavity as
well as measure its negative energy density spectrum. Marecki discovered that by
exploiting a trick with the subtraction of the output of balanced photodiodes, it is
possib le to quantify the fluctuations of the quantum field (even in the vacuum!), wh ich
uniquely addresses Davies and Ottewill's [54 ] negative energy detector hypothesis.
The quantity of interest (to be measured) is the fluctuations of the quantum electri c
field \ Ei(l,t)Eil, t)ls (for fields restricted to the frequency w of the local osci llator)
~ r
for squeezed and vacuum states, where E;{ x ,t) is the quantum electric field operator
(in ground-state representation and rest ricted in frequencies) at the point x, t
~ r
represents the time-dependence of E;(x,t ), and ( ...) s stands fo r the expectation value
with respect to an arbitrary init ial state S (vacuum, squeezed, ground stat e, coherent,
therma l, etc.) of the quantum rad iation field under study. (E;(l,t)Ej(l ,t)Js is also
called a two-po int function . In quantum field theory, the expectation value (or matrix
element) computed by inserting a product of two quantum operators between two
st ates, usually the vacuum states, is called a two-point funct ion. This quantity
suggests a " relation" between two states in the same dynamics, and it expresses the
fluctuations of a quantum field. The product of n-operators is called then -point
function which expresses the higher moments of the quantum field fluctuations.
The goal of the experiment is that a state S of the quantum radiation field under study
needs to be characterized by its n-point functions. The typical solution in quantum
optics is to use well-characterized quantum systems interacting in a simple way with
the quantum rad iation field . The detection scheme uses the simple model of a PIN
junction photodiode in wh ich a single electron interacts with the quantum radiation field
under study. This simple interaction means that the state space of the electron can be
severely restricted, the interaction is assumed to be linear in the quantum field, and so
the Born approximation can be used (5, 6]. The PIN junction model of the
photodetection process is an electron in an initial state IO)@S, with its bound-state IO)
l
well-localized around a certain point x0, that gets excited to the continuum of
scattering states I q) by the quant um field state of interest S such that the fina l states
of the system are liJ)@S.**** The excitation is caused by the linear (d ipole
approximation) interaction with the quantum electric field which is
..,, The symbol @ denotes the ten sor prod uct of two quant um eigenstates such th at Ia 1, a2) =Ia1) © Ia2) fo r
factorized eigenstates which correspond to independent measu rements.
UNCLASSIFIED/ /f8tt 8fflf!IAL Y!IIE 8HLY
36

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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.