Science > Physics > Quantum Gravity 106.0: 3-Quark Objects vs 3-Probability Decompositions
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Science > Physics |
| User: |
"OsherD" |
| Date: |
25 Mar 2007 01:53:05 AM |
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Quantum Gravity 106.0: 3-Quark Objects vs 3-Probability Decompositions |
From Osher Doctorow
Baryons are 3-quark combinations exemplified by protons and neutrons,
and baryons are a type of fermion. Fermions contain also quarks and
antiquarks, quarks being fermions with Baryon number B = 1/3, while
baryons have baryon number B = 1.
There are only a few 3-probability decompositions of the Universe that
are known to have much importance, the main one corresponding in fact
to the decomposition of fuzzy multivalued logics (FMLs) into:
1) Lukaciewicz/Rational Pavelka FML with implication 1 + y -x
2) Product/Goguen FML with implication y/x for x not 0
3) Godel FML with implication y
which for probabilities corresponds to:
4) Probable Influence/Causation (PI) P(A-->B) = 1 + y -x or P' (A-->B)
= 1 + z - x, where y = P(AB) and z = P(B) for z < = x (z can be
written y if its meaning is specified)
5) Conditional probability P(B|A) = y/x for y = P(AB), x = P(A) when
P(A) is not 0
6) Independent probability/statistics with P(AB) = P(A)P(B), for which
P(B|A) = P(B) = "z" (or y)
Another triple decomposition of the Universe (S) is obtained this way
for probabilities:
7) S = {PI with P(A-->B)} U {PI with P' (A-->B)} U {Independent
Probability-Statistics}
since P(B|A) and P(A|B) can be defined in terms of the others.
Relating the 3-quark baryon to the 3-probability decompositions would
be useful homework for readers, assuming that they do not expect to
succeed in this phase of the Universe :>)
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Quantum Gravity 106.0: 3-Quark Objects vs 3-Probability Decompositions |
25 Mar 2007 02:00:57 AM |
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From Osher Doctorow
Alternatively, since independent probability-statistics can be defined
just as well in terms of P(A-->B) and/or P' (A-->B), we can categorize
the Universe into dependent P(A-->B) (not independent), dependent
P' (A-->B) (not independent), and independent probability-
statistics. Here by "dependent P(A-->B)" I mean scenarios where P(A--
B) is the main probability and A, B are dependent (not independent).
Osher Doctorow
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