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From: Osher Doctorow on 17 Jul 2010 23:37 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
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