If the positive A(+) of the universe creates inertia, and it is excluded from the saucer-car region, then by Mach’s Principle (or if you wish, its corollary) there is no inertia in that region. The negative mass can be spun at high speed because the mass has no inertia, no centrifugal force is created by spinning it, and no centripetal force is required to hold it together.Out of curiosity, does this make any sense at all?
Positive and negative masses repel each other through their fields, and the field has to be zero on the boundary. If a region of space existed around a gravitationally negative mass, the scalar potential would be negative and the A vector derived from this field would be anti-parallel to the velocity
A = - |φ|v/c2
as opposed to parallel, A = Φv/c2.
This is to be expected as Φ and A form a four-vector in relativity
Aμ = (A,φ)
so if φ is negative, so is A.
These parallel conditions are mutually exclusive; you cannot have A parallel and anti-parallel to v at the same time. Therefore the positive and negative gravity spaces would have to be disjoint.
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posted by lazaruslong at 5:22 PM on June 19, 2011