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QUANTUM METAPHYSICS - E-thesis

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subjectivistic interpretations which incorporate the suggestion that consciousness somehow<br />

collapses the wavefunction.<br />

Von Neumann carried out careful research into where the reduction (i.e. collapse) of the wave<br />

function could be located. He divided the measurement chain into tiny parts and realised that the<br />

line between the object and the measuring device was movable. In this way, his projection<br />

postulate could be adapted to an object, a system consisting of an object and a measuring device,<br />

or an even wider system which includes the sense organs and brain of the observer. Somewhat<br />

against his will, Von Neumann was led to conclude that perhaps the best way to understand<br />

collapse is if the line is drawn between consciousness and the brain. Utilizing this, Fritz London<br />

and Edmond Bauer soon added the proposition that reduction of the wavefunction was not<br />

perhaps a physical process, but one which required the consciousness of the observer. Collapse<br />

of the wavefunction always occurred when the observer became conscious of some measurement<br />

result. 707<br />

Von Neumann’s measurement theory is usually taken as part of the Copenhagen interpretation,<br />

even though Bohr rejected the subjective projection postulate and regarded the common attempt<br />

to create a model of measurement in terms of quantum theory as wrong. Von Neumann’s<br />

reduction postulate is assumed in several textbooks on quantum mechanics, even though it is<br />

commonly believed that talk about collapse, reductions or jumps can, by the standards of<br />

physics, only be metaphorical. 708 Even if there is no evidence that any kind of collapse really<br />

takes place, avoiding the use of these metaphors when attempting to provide an objective model<br />

concerning measurement has been difficult. A consequence of the projection postulate is that<br />

measurement is considered to represent the state of the system being investigated immediately<br />

after measurement takes place, while classical measurement is thought of as revealing properties<br />

as they were prior to the measurement event. 709<br />

Bohr did not accept Von Neumann’s method of approach, on the basis of which it was easy to<br />

end up embracing Subjectivism or Idealism 710 . Bohr was silent on the question of the collapse of<br />

the wavefunction. He did not accept the common requirement that quantum theory should<br />

707 Herbert 1985, Murdoch 1987, 126-127.<br />

708 No textbook on quantum measurement exists. The projection postulate is seldom covered in standard quantum<br />

textbooks. These omissions show that a substantial account of the relationship between amplitudes and eigenvalues<br />

is not required for a working understanding of quantum theories. Auyang 1995, 82.<br />

709 Murdoch 1987, 122-126.<br />

710 John Bell also noticed that Bohr rejected projection postulate and subjectivism. Bell 1997, 99.<br />

265

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