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15 - Quantum mechanics for cosmologists

Published online by Cambridge University Press:  11 April 2011

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Summary

Introduction

Cosmologists, even more than laboratory physicists, must find the usual interpretive rules of quantum mechanics a bit frustrating:

‘… any result of a measurement of a real dynamical variable is one of its eigenvalues …’

‘… if the measurement of the observable … is made a large number of times the average of all the results obtained will be …’

‘… a measurement always causes the system to jump into an eigenstate of the dynamical variable that is being measured …’

It would seem that the theory is exclusively concerned with ‘results of measurement’ and has nothing to say about anything else. When the ‘system’ in question is the whole world where is the ‘measurer’ to be found? Inside, rather than outside, presumably. What exactly qualifies some subsystems to play this role? Was the world wave function waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer for some more highly qualified measurer – with a Ph.D.? If the theory is to apply to anything but idealized laboratory operations, are we not obliged to admit that more or less ‘measurement-like’ processes are going on more or less all the time more or less everywhere? Is there ever then a moment when there is no jumping and the Schrödinger equation applies?

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Speakable and Unspeakable in Quantum Mechanics
Collected Papers on Quantum Philosophy
, pp. 117 - 138
Publisher: Cambridge University Press
Print publication year: 2004

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