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The Earth analgy is very flawed the earth is not on a single dimension. The earth does not cause a dimension to curve onto it's self. Instead you are mearly moving through an extra demension while walking around the earth. You change your direction with every step you take. Just because you don't turn on the XZ planes doesn't mean you didn't turn on the Y plane.
Now as for travel greater than the speed of light. Currently all we have is a hypothetical mathmatical model which says it is impossible to do. The only way to verify the modle is correct is to move the speed of light. So saying nothing can move faster than the speed of light is silly because mathematical models are typically highly simplified and rarely increadibly accuret.
Other than than that becareful stating theorys as fact. Warp drives/folding space/ect are all in theory.
Reading some of these posts is like reading a stargate forum where people argue about the physics of the stargate as real world fact.
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