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CellBioGuy comments on Open Thread, Jul. 27 - Aug 02, 2015 - Less Wrong
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If it breaks conservation of momentum and also produces a constant thrust, it breaks conservation of energy since kinetic energy goes up quadratically with time while input energy goes up linearly.
If it doesn't break conservation of energy there will be a priviliged reference frame in which it produces maximum thrust per joule, breaking the relativity of reference frames.
Adjust probability estimates accordingly.
There are other possibilities. Maybe it's pushing on dark matter, so it works from the reference frame of the dark matter.