Defense Intelligence Reference Document Warp Drive Dark Energy And The Manipulation Of Extra Dimensions

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7.2 THE GEOMETRY OF EXTRA DIMENSIONS
To answer the first question, our most developed higher dimensional theory (M-theory)
works in seven additional spatial dimensions. The shape is believed to be what
mathematicians call a Calabi-Yau manifold - a complex object that is notoriously
challenging to work with. Physicists often like to work with simpler models (a single
extra dimension, for example) with an uncomplicated shape like the circle. Although
this may at first appear to be a gross simplification, often these simplistic higher
dimensional models both reflect the flavor of the physics involved, and give accurate
predictions that are believed to deviate from nature only at extremely high energies. 17
For this reason, many of the research
papers investigating higher dimensions
choose to work in the simpler circular
higher dimensional space. A smaller
fraction of papers explore two additional
higher dimensions, which are commonly
toroidal (see Figure 6), and an even
smaller fraction of papers work in the full
M-theoretic Calabi-Yau manifold. At these
early stages of investigation, the
additional circular dimension represents
an adequate approximation. Should the
research progress to a more highly
developed phase, then it may become
necessary to work within the Calabi-Yau
manifold.
With regards to the question of whether
space can be made to contract, it seems
possible if one can make the energy
Figure 6. A Toroidal Higher Dimension. This is one
of the many possible topologies explored in higher
d1mens1onal theories.
density of a given region of space negative instead of positive. This type of space has
been well explored by physicists, and is known as anti-deSitter space. One of the
unique features of Casimir energy is that under many conditions it is known to be
negative, and thus with a careful manipulation of the higher dimensional fields it is, in
principle, possible to generate the required contraction of space.
7.3 HIGHER DIMENSIONS AND STABILIZATION
Our goal in this section is to explore the possibilities of manipulating a higher
dimension, which will influence the local dark energy density and thus the expansion
and contraction of spacetime in the vicinity of a spacecraft.
Before the issue of how to manipulate a higher dimension can be addressed, first one
must understand why an additional spatial dimension holds some fixed radius. This is a
well know problem in higher dimensional physics and is commonly called the problem of
"modulus stabilization." Broadly stated, the question is as follows: if there are
additional spatial dimensions, why do they not perpetually expand, like our familiar
dimensions of space, or alternatively, why do they not perpetually contract? What
17 For example, in the vicinity of a black hole, or in the first moments of the big bang.
17
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