But it would be very rash to maintain that the current mathematical
formulation of the quantum principle is the best possible; indeed,
there are reasons for dissatisfaction with it. Perhaps the most
important of these is that in expressing the kinetic energy we have
to employ the method of separation of[Pg 395] variables, and that we do not
know whether separation of variables is always possible, or whether all
ways of separating the variables give equivalent results. Apart from
these rather technical difficulties, there are others that are less
definite but perhaps not less important. No one has succeeded in making
the existence of quanta seem at all "reasonable"; that is to say, it
remains isolated and separate from other physical ideas. And whereas
it involves discontinuity, the whole effect of relativity has been to
emphasize continuity. Moreover, no one has yet succeeded in explaining
interference and diffraction by means of light-quanta, or in explaining
the photo-electric effect without them. For these reasons, the time has
not yet come when the philosopher can deal confidently with quantum
theory; he can only suggest what would be his philosophy if this or
that view had prevailed in physics.
In relativity, we are on surer ground. The advance on the physics
of the past, where relativity is concerned, is mainly logical and
philosophical. It is true that facts led to the theory, and that
the theory in turn led to the discovery of new facts. But the facts
were small and only just within the limits of observation; and they
had not, as facts, the revolutionary importance of the facts about
quanta. And now that the theory is fairly complete, one can see that,
theoretically, it ought to have been discovered by Galileo, or at any
rate as soon as the velocity of light became known. It represents in
its technique a better philosophy than that of Newton; indeed, one of
its most remarkable features is the adaptation of the technique to the
philosophy.
The theory of relativity, to my mind, is most remarkable when
considered as a logical deductive system. That is the reason, or one
of the reasons, why I have found occasion to allude so constantly to
Eddington. He, more than Einstein or Weyl, has expounded the theory in
the form most apt for the purposes of the philosopher. Minkowski had
the same[Pg 396] quality, but he did not live to see the general theory. For
philosophical purposes, therefore, I have allowed myself to be guided
almost entirely by Eddington.
Public-domain text, read in full here on John Shaqi.
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