From: Osher Doctorow on
From Osher Doctorow

There appears to be another clue in 400.0, 400.1, namely:

1) Clue: The physics of expansion vs contraction, or repulsion vs
attraction, shows signs of entanglement.

Lets see what indications there are.

2) The very old Universe, which was small ("microscopic" if that is
meaningfully comparable to present microscopic sizes) has indications
of responding as a whole (that is, by entanglement) to its size.

3) When fermions "exchange" virtual bosons, the interaction seems to
transcend only one fermion at a time, indicating entanglement.

4) Accelerations of the Universe, whether Inflation or late
Acceleration, occur "as a whole" to the Universe, which suggests
entanglement.

5) The non-obedience of bosons to the Pauli Exclusion Principle
appears to be similar to entanglement of bosons.

6) Similarly to the above for Condensates (Bose-Einstein Condensates,
for example).

But what is entangled? Let us write the equations already established
in earlier posts in this thread.

7) P(A<-->B) = P(AB) + P(A ' B ' ) is called Probable Correlation,
where (A<-->B) = (A-->B)(B-->A), that is the intersection of (A-->B)
and (B-->A).

8) If P(B C A) = 1, that is B is a subset of A with probability 1
(that is, excluding possibly sets of probability 0), then P(A<-->B) =
P ' (A-->B) = P(A-->B) where P ' (A-->B) = 1 + P(B) - P(A) for P(B) <
= P(A).

In "virtual boson" force carrying or "interaction" or "exchange", the
wave or field of A (fermion-wave or fermion-field A) expands to
intersect the wave or field of B (fermion-wave or fermion-field B).
When the wave/field of A completely envelops that of B, then B can be
regarded as B C A of (8) "up to particles/fermions", and so A and B
become entangled. Stated as a Principle:

9) In virtual boson "transmission" of force/interaction, the wave/
fields of the fermions become entangled probabilistically (via P(A<--
>B), P(A-->B), P ' (A-->B)).

Note that there is a slight "directionality" of this entanglement,
namely that P(B C A) = 1, rather than P(A C B) = 1, which may involve
an underlying noncommutativity.

Note also that "nonlocality" and "entanglement" appear to share at
least some common features.

Osher Doctorow