AAWSAP DIRD, Warp Drive, Dark Energy, and the Manipulation of Extra Dimensions, April 2010

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Table 2. Negative Energy Required for Warp Bubble
(Larger Negative Energy)
Warp Factor, Vwarp
Ewarp (J)
10­5 (= 3 km/s)
- 3.03 X 1040
10-4 (= 30 km/s)
- 3.03 X 1042
0.01 (= 3,000 km/s)
- 3.03 X 1046
0.5 (= 150,000 km/s)
-7.59 X 1049
1 ( = light speed)
- 3.03 X 1050
2 (= 600,000 km/s)
- 1.21 X 1051
10 (= 3.0 X 106 km/s)
- 3.03 X 1052
100 (= 3.0 x 107 km/s)
- 3.03 X 1054
Assume: R = 50 m cr = 103 m- 1
Lobo and Visser (Reference 12) constructed an improved model of the warp drive
spacetime by applying linearized gravity to the weak-field warp drive case and testing
the energy conditions to first and second orders of Vwarp , The fundamental basis of their
model is that it specifically includes a finite mass spaceship that interacts with the warp
bubble. Their results verified that all warp drive spacetimes violate the energy
conditions and will continue to do so for arbitrarily low warp bubble speed. They also
found that the energy condition violations in this class of spacetimes is generic to the
form of the geometry under consideration and is not a side effect of the superluminal
properties. Based on these facts plus Equation (2.3) and Table 2, it appears that for all
conceivable laboratory experiments in which negative energy can be created in minute
amounts, the warp bubble speed will be absurdly low.
Coupling of the finite spaceship mass with the warp bubble leads to the (quite
reasonable) condition that the net total energy stored in the warp bubble be less than
the total rest-energy of the spaceship itself, which places a strong constraint upon the
(dimensionless) speed of the warp bubble (Reference 3) :
< [2__ ( M .hip R , hip ti J]i
v,.,.rp-
2
2
C
R.hip
R
(2.4)
where M ship and R ship are the mass and size of the spaceship, respectively, and R is the
radius of the warp bubble. Equation (2.4) indicates that for any reasonable values of
the engineering parameters inside the brackets, Vwarp will be absurdly low. This result is
due to the intrinsic nonlinearity of the general relativistic field equation. To illustrate
this point, the example starship parameters from Table 2 (R = 50 m, ~ 1/cr = 10-3 m)
are inserted into Equation (2.4) and assume M ship = 106 kg to find that Vwarp
~ 1.72 x
10-14 (or 5. 16 x 10-6 m/s). Garden snails can crawl faster than this. And if Rand M ship
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