AAWSAP DIRD, Warp Drive, Dark Energy, and the Manipulation of Extra Dimensions, April 2010
DOW-UAP-D138 · page 29 of 33
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UNCLASSIFIED//POI\ OPPICIIIIL tt!II! 8HL\S Table 3. Negative Energy Required for Warp Bubble Warp Factor, Vwarp £warp (J) 10-5 (= 3 km/s) - 1.00 X 1032 10-4 (= 30 ktn/s) -1.00 X 1034 0.01 (= 3,000 ktn/s) -l.00 X 1038 0.5 (= 150,000 km/s) - 2.50 X 104 1 I (= light speed) - 1.00 X 1042 2 (= 600,000 km/s) - 4.00 X 1042 10 (= 3.0 X 106 km/s) - 1.00 X 1044 100 (= 3.Q X 107 km/s) - 3.03 X 1046 Upon comparing Tables 2 and 3, immediately one can see the drastic energy reductions that are apparent when one uses the dimensional warp drive paradigm. The energy requirements are reduced by a factor of 108 . This energy is based on a warp bubble that encompasses 100 m3 of space. As discussed earlier, this is a "worst case" scenario, and the energy requirements could be further reduced, perhaps by many orders of magnitude, by utilizing the thin shell model illustrated in Figure 9. These are, perhaps, the most important numerical results of this paper, as they set an upper limit on the energy requirements necessary to generate a warp bubble, and also on the energy requirements necessary to surpass the speed of light. Even though this energy requirement is a vast improvement on the calculations of Visser and Lobo, the energies are still far in excess of those available in the foreseeable future. One interesting prospect to test this theory is to consider the maximum energy density that is achievable by modern technology, and to calculate the expansion of space that this energy would generate. One could then conceivably contemplate a table-top experiment if the numbers allowed. What follows is a description of how this might work. 7.5 FUTURE EXPERIMENTS At this point we take a diversion into pure speculation as to what technological advancements may be necessary to build a device that might test our dark energy theory. One knows from the Friedmann equations of cosmology that normal matter and energy generate: a 4nG -;; =- -3-(p + 3p), (7.6) where a is the so-called cosmological scale factor, p is the energy density and p is the pressure. If one defines the quantity"= plp", one sees immediately that an accelerated expansion of spacetime requires negative pressure. Currently, all known matter and energy generate w > 1; however, dark energy has w = -1. If it were possible to technologically create dark energy in the lab, then this would assist with our UNCLASSIFIED//FOR OFFIOIAL ~SI! 8Ht,• 22