John Company

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

DOW-UAP-D138 · page 3 of 33

Page 3 of 33 of DOW-UAP-D138

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Contents
Introduction ............................................................................................................v
2. General Relativistic Warp Drives ........................................................................ 1
2.1 Warp Drive Requirements ............................................................................ 2
3. The Cosmological Constant ................................................................................ 4
3.1 Einstein's Equation and the Introduction of/\ .............................................. 4
4. Casimir Energy and the Quantum Vacuum.......................................................... 5
4.1 The Casimir Effect ........................................................................................ 6
5. Extra Space Dimensions ..................................................................................... 8
5.1 Kaluza-Klein Theory ..................................................................................... 8
5.2 Large Extra Dimensions.............................................................................. 10
5.3 Randall Sundrum Brane Models .................................................................. 11
5.4 Extra Dimension Summary ......................................................................... 12
6. Dark Energy as a Higher Dimensional Artifact .................................................. 12
7. Warp Drive and Higher Dimensional Manipulation ........................................... 15
7.1 Adjusting Higher Dimensions for Propulsions ............................................ 16
7.2 The Geometry of Extra Dimensions ............................................................ 17
7.3 Higher Dimensions and Stabilization .......................................................... 17
7.4 Elementary Warp Drive Calculations .......................................................... 20
7.5 Future Experiments .................................................................................... 22
7.6 The Development of the Technology .......................................................... 23
8. Summary.......................................................................................................... 24
Figures
Figure 1. York Extrinsic Time (9-) Plot..................................................................... 1
Figure 2. The Interior Region of Parallel Conducting Plates ................................... 7
Figure 3. Internal Structure of a Seemingly One-Dimensional Object .................... 9
Figure 4. Manipulated Extra Dimension ................................................................ 15
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