Re: Quantum Entanglement Explained by Jacobson Radical + PI

From: Osher Doctorow (mdoctorow_at_comcast.net)
Date: 07/09/04 

Date: Fri, 9 Jul 2004 12:02:43 +0000 (UTC)

On 9 Jul 04 00:16:00 -0400 (EDT), Osher Doctorow wrote:
>If algebra is really interpretable in two very different ways, one
>by logic and one by probability-statistics, and similarly for logic,
>then the "exceptional" position of quantum logic also would seem to
>be called into question. Quantum logic is currently thought to
>represent a "world of its own" separate from other logics and with
>very deep algebraic underpinnings, and researchers into it generally
>accept mathematical physics' divorce from most of probability-stat-
>istics and don't question anomalies and paradoxes like the Heisenberg
>Uncertainty Principle (HUP) that come from mathematical or theor-

The Jacobson radical still has one more surprise, namely its special
importance in noncommutative rings. This means that the current
trend of following Alain Connes' noncommutative geometry-algebra
and Clifford Algebra-related noncommutative algebras and analyses
is just as compatible with PI as with the supposed "fundamental"
nature of algebraic topology and algebraic geometry. Connes' and
Clifford's approaches (generalized and/or modified) relate especially
to mathematical/theoretical physics.

Equally important, a noncommutative probability-statistics is
indicated.

Osher Doctorow

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