You're hitting on a lot of points here, Demigod.
Space-time exists. Think of it as you would a celestial address. Coordinates to describe position.
Gravity, too. Measured in gravitons; thought to be 5th dimensional in nature.
Warpdrive might not be best expressed as a velocity-based problem, as the level of energy required to enter light-speed would be almost infinite.
No - I'd imagine the issue is instead one of geography and how well we understand space-time...
As far as manipulating physics, I'm not sure what you mean.
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