Measurement in Quantum Mechanics Faq
In 1935 Schrödinger published an essay describing the conceptual
problems in QM1. A brief paragraph in this essay described the
cat paradox.
One can even set up quite ridiculous cases. A cat is penned
up in a steel chamber, along with the following diabolical device
(which must be secured against direct interference by the cat):
in a Geiger counter there is a tiny bit of radioactive substance,
so small that perhaps in the course of one hour one
of the atoms decays, but also, with equal probability, perhaps
none; if it happens, the counter tube discharges and through
a relay releases a hammer which shatters a small flask of hydrocyanic
acid. If one has left this entire system to itself for an hour,
one would say that the cat still lives if meanwhile
no atom has decayed. The first atomic decay would have poisoned
it. The Psi function for the entire system would express this
by having in it the living and the dead cat (pardon the expression)
mixed or smeared out in equal parts.
It is typical of these cases that an indeterminacy originally
restricted to the atomic domain becomes transformed into macroscopic
indeterminacy, which can then be resolved by direct
observation. That prevents us from so naively accepting as valid
a "blurred model" for representing reality. In itself it would
not embody anything unclear or contradictory. There is a difference
between a shaky or out-of-focus photograph and a snapshot of
clouds and fog banks.
We know that superposition of possible outcomes must exist simultaneously
at a microscopic level because we can observe interference effects
from these. We know (at least most of us know) that the cat in
the box is dead, alive or dying and not in a smeared out state
between the alternatives. When and how does the model of many
microscopic possibilities resolve itself into a particular macroscopic
state? When and how does the fog bank of microscopic possibilities
transform itself to the blurred picture we have of a definite
macroscopic state. That is the measurement problem and Schrödinger's
cat is a simple and elegant explanations of that problem.
References:
1 Paul Budnik
2 E. Schrödinger, ``Die gegenwartige Situation in der Quantenmechanik,'' Naturwissenschaftern.
23 : pp. 807-812; 823-823, 844-849. (1935). English translation:
John D. Trimmer, Proceedings of the American Philosophical
Society, 124, 323-38 (1980), Reprinted in Quantum Theory
and Measurement, p 152 (1983).
physics mathematics and consciousness
home | about | physics | measurement FAQ | more complete theory | infinite
|