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Re: Particle position



Of course there are open roads for open minds:

Following theories based in contextual hidden variables you can go
to the quantum phenomena with nonclassical eyes. An example can
be find in: Santos E. Phys. Rev. A46, 1992, pag. 3646. It is false that
these kind of approaches does not have new information. It is enough to
read it. One can consider contextual variables in the theories.

People declaring the 27th out of the game has been existed since
quantum mechanics was a new theory.

The first impossibility proof within quantum mechanics was introduced
by von Neumann(1) in 1932 when He established that it is impossible
to construct a hidden variables theory compatible with all the predictions
of quantum mechanics. However, Feyerabend(2) showed in 1956 that
von Neumann's proof excludes only a restricted class of deterministic
variable.

Another kind of impossibility proofs apperar in 1960-s: In 1966 John
Bell(3)
presented one theorem to exclude all theories containing noncontextual
hidden variables. This mean that contextual hidden variables are always
possible. Another work by Bell(4) in 1964 shows that local hidden
variables must be excluded too.

The inexistence of noncontextual hidden variables was proved by
Gleason(5) in 1957 and by Kochen and Specker(6) in 1967. But that
contextual hidden variables are always possible was shown by
Gudder(7) in 1970.

A contextual theory is formulated with variables of the next form:
A(lambda,mu) where lambda represents the properties of the particle
and mu the properties of the context. In this way several approaches are
possible if someone wants to maintain his open mind. But if someone
does not want to do it, then he can take quantum mechanics at the present
form, but this does not mean that any new approach must be considered
unnecessary or a methaphysical point.

A lot of people, very good physicists included, does not like the
situation.
The inexistence, now, of a satisfactory theory underlying quantum mechanics
does not mean that it is impossible to find it. See for example
the Dirac's opinion about renormalization, and books like
"The Electron (New Theory and Experiment)"
D. Hestenes and A. Weingartshofer, Kluwer Academic (1991).

(1) von Meumann,J. , "Mathematical Foundations of Quantum Mechanics",
Princeton U.P., Princeton (1955).
(2) Feyerabend, P.K., Zeits. f. Physik, 145, p. 421, (1956).
(3) Bell, J.S., Rev. Mod. Phys. 38, p. 441 (1966).
(4) Bell, J.S., Physics, 1, p. 195, (1964).
(5) Gleason, A.M., J. Math. Mech. 13, p. 1101, (1957).
(6) Kochen, S. and Specker E.P. J. Math. Mech. 17, p. 59, (1967).
(7) Gudder, S.P., J. Math. Phys., 45, p. 618 (1970).