Matti Pitkänen (matpitka@pcu.helsinki.fi)
Sun, 21 Nov 1999 18:00:08 +0200
Apply Quantum Principle with Caution
----- Original Message -----
From: Stephen Paul King
To: Time List
Sent: Sunday, November 21, 1999 5:12 PM
Subject: [time 1014] Apply Quantum Principle with Caution
Hi Stephen and all,
it seems that experimentalists begin to take critical attitudes on the basic interpretation
of quantum theory. Year or so ago an experimental proof for the failure of
Bohr's explanation of results of the double slit experiment in terms of uncertainty
principle was published. Now the classical-quantum correspondence principle is
questioned.
My conviction is that standard correspondence principle is a wrong manner to connect
quantum theory to classical theory. In quantum field theory saddle point approximation in which
functional integral is developed perturbatively around classical solutions of field equations
is assumed to give correspondence with classical field theory. This principle is however
empty since the functional integral does not exist mathematically. The principle fails
in case of fermions completely since no classical limit exists.
The basis failure is to think that classical theory is only an approximation.
As I have explained thousand and one times classical theory is essential part of
quantum TGD and I dare believe of quantum theory in general: the only manner
I know to realize this is quantum states as quantum histories identification.
An alternative interpretation is that quantum states in some sense provide
representation for the classical aspects of the world. Ehrenfest theorem stating
that averages for observables obey classical equations suggests this.
In TGD "ontogeny recapitulates phylogeny" principles statingg that the
concepts related to the quantum dynamics by quantum jumps at the level of
configuration space of three-surfaces correspond to the
concepts of the dynamics of classical spacetime surface, realizes the same idea.
Best,
MP
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