AAWSAP DIRD, Traversable Wormholes, Stargates, and Negative Energy, April 2010

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(3b)
(3c)
These are the Einstein field equations for a traversable wormhole that is produced by a
thin shell of localized matter. Equations (3a-c) imply that (for ~ a convex
hypersurface) one is dealing with negative surface energy density and negative surface
tensions. This is exotic matter! The negative surface tension (= positive outward
pressure, a.k.a. gravitational repulsion) is required to keep the throat open and stable
against collapse. To make this thin shell wormhole entirely flat requires that one
chooses the throat oD. to have at least one flat face (picture the thin shell in Figure 5
becoming flat). On that face the two principal radii of curvature become p1 = p2 = oo as
required by standard three-dimensional geometry; therefore, substituting this
requirement into Equations (3a-c) gives:
(4)
which is a remarkable result. This
means that a traveler encountering and
going through such a wormhole­
stargate will feel no tidal gravitational
forces and see no exotic matter
threading the throat. A traveler stepping
through the throat will simply be
shunted into another remote spacetime
region or into another universe (note:
the Einstein field equation does not fix
the spacetime topology, so it is possible
that wormholes are inter-universe as
well as intra-universe tunnels).
Therefore, one can construct a stargate
by generating a thin shell or surface
layer of exotic matter much like a thin
film of soap stretched across a loop of
wire.
C. WHAT A WORMHOLE LOOKS
LIKE IN THE REAL WORLD
The exotic matter threading a
traversable wormhole throat produces
repulsive gravity, which will then deflect
light rays going through and around it.
The entrance to the spherically symmetric Morris & Thorne wormhole looks like a
sphere that contains the mirror image of a whole other universe or remote region
within our own universe, incredibly shrunken and distorted (see Figure 6). This is an
UNCLASSIFIEQ { {FOR AEEiliCili.li.L YS& OHLY
Figure 6. ASpherically Symmetric Traversable
Wormhole Observed in Space
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