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Positive Energy Warp Drive from Hidden Geometric Structures | | Shaun D.B. Fell
; Lavinia Heisenberg
; | | Date: |
13 Apr 2021 | | Abstract: | Warp drives in Einstein’s general theory of relativity provide a unique
mechanism for manned interstellar travel. It is well-known that the
superluminal soliton spacetimes require negative energy densities, likely
sourced by quantum processes of the uncertainty principle. It has even been
claimed by few that negative energy densities are a requirement of superluminal
motion. However, this may not be the case. A general decomposition of the
defining variables and the corresponding decomposition of the Eulerian energy
are studied. A geometrical interpretation of the weak energy condition for the
Eulerian observer is found, shedding new light on superluminal solitons
generated by realistic energy distributions. With this new interpretation, it
becomes a relatively simple matter to generate solitonic configurations, within
a certain subclass, that respect the positive energy constraint. Using this
newfound interpretation, a superluminal solitonic spacetime is presented that
possesses positive semi-definite energy. A modest numerical analysis is carried
out on a set of example configurations, finding total energy requirements three
orders of magnitude smaller than the solar mass. Extraordinarily, the example
configurations are generated by purely positive energy densities, a tremendous
improvement on the classical configurations. The geometrical interpretation of
the Eulerian energy thus opens new doors to generating realistic warp fields
for laboratory study and potential future manned interstellar travel. | | Source: | arXiv, 2104.06488 | | Services: | Forum | Review | PDF | Favorites | |
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