Quantum Gravity 262.6: Expansion-Contraction Come Directly From P(A-->B)
- From: OsherD <mdoctorow@xxxxxxxxx>
- Date: Tue, 3 Jun 2008 13:11:39 -0700 (PDT)
From Osher Doctorow
I have pointed out that when A = {X < = x}, B = {Y < = y}, then P(A--
B) = P(A ' U B) gives an "orientation" in a generalized sense forthese sets to reflect for the Effect B a decrease in random variables,
which in terms of the Universe's space(time) picture is reflected in
Contradiction rather than Expansion, while for the Cause A the set A '
= {X > x} reflects increase in random variables which relates to
Expansion rather than to Contraction. Here X is the Cause or Causal
Random variable, Y the Effect Random variable.
This is the "ultimate" Foundation of Expansion and Contradiction in
physics, provided that we take note of a very important fact, namely
that as mentioned previously:
1) (A-->B) = (A<-->B) U (A ' B)
so that:
2) P(A-->B) = P(A<-->B) + P(A ' B)
and notice that:
3) P(A<-->B) = P{(A-->B)(B-->A)} = P(AB) + P(A ' B ' )
so that P(A-->B) from (2) reflects both X and Y random variables
increasing (expanding), both X and Y random variables decreasing
(contracting), or X increasing and Y decreasing (Cause Expanding and
Effect Contracting). What it does not reflect is X (the Cause random
variable) Contracting and Y (the Effect random variable) Expanding.
To put it more simply, Causes or "Causal Sets" don't contract unless
both the Cause and the Effect contract together, but they do Expand
under any and all conditions. Thus, Causation in Probable Causation/
Influence (PI) is fundamentally Expansive except with the above
qualification, and this is why our Universe favors Expansion although
it could in a special case favor Contraction.
Osher Doctorow
.
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