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From: Osher Doctorow on 18 Jul 2010 12:46
From Osher Doctorow

Entanglement is usually thought of as two-way, with two objects acting
identically in some or all ways except for location, and indeed we
would think so also from the mathematical formulation in Probable
Causation/Influence (PI):

1) Entanglement = Probable Correlation = P(A<-->B) = P(AB) + P(A ' B
' )

although technically Entanglement should be "high Probable
Correlation".

But I pointed out earlier that there is a Noncommutative aspect,
namely when A envelops B in time or else B is "now" a subset of A.
In that case, we get:

2) Entanglement reduces to P(A<-->B) = P(A-->B) = P ' (A-->B) when A
envelops B in time or when B is "now" a subset of A with probability
1.

Abbott's "Flatland", which describes how a lower dimensional region
(having less "information" than a higher dimensional intruder) would
respond to intrusion from higher dimensions, gives us a Clue how to
proceed:

3) Entanglement can be two-way, in which A and B have "complete
information/knowledge about each other," or one-way from A to B in
which A envelops B through time or B is "now" a subset of A and in
which A has complete information/knowledge about B but not vice
versa. In both cases, A's actions generate (certain) similar actions
by B, but not necessarily vice versa.

Fortunately, in the notation P(A<-->B), the fact that we have written
A first can remind us that the second case in (3) may apply if
confusion is not likely, so I will not (yet) use a different notation
for one-way Entanglement.

In Abbott's "Flatland", another clue comes from the fact that A as a
higher dimensional set has some different qualities from B (a lower
dimension set into which A penetrates). In particular, we are led to
ask whether the expansion versus contraction properties of A and B are
different. For example, if A is more "field-like" or "wave-like" and
B is more "particle-like" or "mass-like", do their expansion versus
contraction properties differ, in or out of Entanglement? This will
hopefully be explored later.

Osher Doctorow
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