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Probable Causation/Influence Related to Warp Drives and Black Holes
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Osher
Nov 14, 2012, 2:21:02 PM11/14/12
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The usual Alcubierre-type Warp Drive mechanism of curving space for long distance spacecraft travel has somewhat of an analog in Probable Causation:
1) P(A-->B) = P(A' U B) = 1 + P(AB) - P(A) = P(AB) + P(A') = P(B) + P(A'B')
in which A, B are bounded, A' and B' unbounded in an unbounded spacetime.
The key idea is that bounded and unbounded sets can differ in how --> works, where (A-->B) = A' U B, the union of the complement (part of the universe outside) of A and B. Here A can be the spacecraft with a selective "curving space" mechanism, B a remote star or stellar system. A operates by, roughly speaking, "curving space between itself and B 'downward' and moving A forward, so that it 'falls into B'," while the equivalence easily proven between (A-->B) and (B'-->A') operates in the latter case by B' curving space behind A (outside the line from A to B, projected 'backward') upward and moving B' into that space so that the previous position of A is "annihilated".
Several arguably interesting equations relate to this:
2) P((A-->B)(B'-->A)) = P(B) (adjacent parentheses represent intersection)
3) P((A-->AB)(B'-->AB)) = P(B)
4) P((A-->AB)(B'-->A)) = P(B)
Since the stars from which black holes come by gravitational collapse tend to be big, the above suggests that there is a selectivity with B representing a black hole and that P(B) tends to be big (> 1/2 for example). This would be the case if a black hole for example contains an entire unbounded universe or a big unbounded part of a universe, unlike the usual assumption that black holes are bounded.
Osher Doctorow
1) P(A-->B) = P(A' U B) = 1 + P(AB) - P(A) = P(AB) + P(A') = P(B) + P(A'B')
in which A, B are bounded, A' and B' unbounded in an unbounded spacetime.
The key idea is that bounded and unbounded sets can differ in how --> works, where (A-->B) = A' U B, the union of the complement (part of the universe outside) of A and B. Here A can be the spacecraft with a selective "curving space" mechanism, B a remote star or stellar system. A operates by, roughly speaking, "curving space between itself and B 'downward' and moving A forward, so that it 'falls into B'," while the equivalence easily proven between (A-->B) and (B'-->A') operates in the latter case by B' curving space behind A (outside the line from A to B, projected 'backward') upward and moving B' into that space so that the previous position of A is "annihilated".
Several arguably interesting equations relate to this:
2) P((A-->B)(B'-->A)) = P(B) (adjacent parentheses represent intersection)
3) P((A-->AB)(B'-->AB)) = P(B)
4) P((A-->AB)(B'-->A)) = P(B)
Since the stars from which black holes come by gravitational collapse tend to be big, the above suggests that there is a selectivity with B representing a black hole and that P(B) tends to be big (> 1/2 for example). This would be the case if a black hole for example contains an entire unbounded universe or a big unbounded part of a universe, unlike the usual assumption that black holes are bounded.
Osher Doctorow
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