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popper-logic-scientific-discovery

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212<br />

some structural components of a theory of experience<br />

lines could not be identified with the frequencies of the electron’s<br />

revolutions). Heisenberg hoped that by eliminating these unobservable<br />

magnitudes, he might manage to cure Bohr’s theory of its<br />

shortcomings.<br />

There is a certain similarity between this situation and the one with<br />

which Einstein was confronted when trying to re-interpret the<br />

Lorentz-Fitzgerald hypothesis of contraction. This hypothesis tried to<br />

explain the negative result of the experiments of Michelson and Morley<br />

by making use of unobservable magnitudes such as the movements<br />

relative to Lorentz’s immobile ether; i.e. of magnitudes inaccessible to<br />

experimental testing. Both in this case and in that of Bohr’s theory, the<br />

theories needing reform explained certain observable natural processes;<br />

but both made use of the unsatisfactory assumption that<br />

physical events and physically defined magnitudes exist which nature<br />

succeeds in hiding from us by making them for ever inaccessible to<br />

observational tests.<br />

Einstein showed how the unobservable events involved in Lorentz’s<br />

theory could be eliminated. One might be inclined to say the same of<br />

Heisenberg’s theory, or at least of its mathematical content. However<br />

there still seems to be room for improvement. Even from the point of<br />

view of Heisenberg’s own interpretation of his theory, it does not seem<br />

that his programme has been fully carried out. Nature still succeeds in<br />

hiding from us most cunningly some of the magnitudes embodied<br />

in the theory.<br />

This state of affairs is connected with the so-called uncertainty principle<br />

enunciated by Heisenberg. It may, perhaps, be explained as follows.<br />

Every physical measurement involves an exchange of energy between<br />

the object measured and the measuring apparatus (which might be the<br />

observer himself). A ray of light, for example, might be directed upon<br />

the object, and part of the dispersed light reflected by the object might<br />

be absorbed by the measuring apparatus. Any such exchange of energy<br />

will alter the state of the object which, after being measured, will be in<br />

a state different from before. Thus the measurement yields, as it were,<br />

knowledge of a state which has just been destroyed by the measuring<br />

process itself. This interference by the measuring process with the<br />

object measured can be neglected in the case of macroscopic objects,<br />

but not in the case of atomic objects; for these may be very strongly

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