A "rhythm," as already explained, is a recurring cycle of events,
in which there is a qualitative similarity between[Pg 357] corresponding
members of different periods. A rhythm may have a period consisting of
a finite number of events, or one consisting of an infinite number;
it may be discrete or continuous. If it is discrete, the proper time
of one period is measured by the number of events in the period, and
the "frequency" of the process is the reciprocal of this number. But
here we are speaking of the frequency as measured by the time proper
to the period; by an extraneous time the frequency may be quite
different. What is commonly called the frequency of a light-wave is
its frequency with respect to axes fixed relatively to the emitting
body. Its frequency relative to axes which travel with it is zero; this
is only the extreme of the Doppler effect. There is perhaps a certain
inconsistency in the practice of studying bodies by means of axes
which move with them, while light is always treated with reference to
material axes. If we want to understand light in itself, not in its
relation to matter, we ought to let our axes travel with it. In that
case, its periodicity is spatial, not temporal; it is like that of
corrugated iron. From the standpoint of the light itself, each part of
a light-wave is a steady event in the sense defined above.
One of the most fundamental of rhythmic processes will be the
revolution of an electron about a nucleus, unless we accept the view
of the new quantum mechanics, according to which there is no reason to
suppose that this really occurs. In the Bohr-Sommerfeld theory, this
revolution goes on by itself until it is altered either by a quantum
change or by some more conventional chemical or electrical action.
The question arises: why should we suppose that there is a process
at all? Why not suppose that there is a steady event, possessed of
a certain amount of energy, which is replaced, in a quantum change,
by another steady event, possessed of a different amount of energy,
the balance being radiated or absorbed? There is a certain attraction
about this hypothesis, since the[Pg 358] atom gives no external indication
of its presence while the supposed process continues, and therefore
there can be no direct evidence that changes are occurring, such as
a steady motion supposes. In any case, if an electron is revolving
round a proton in a circle, and both are spherically symmetrical, it
is not easy to see, from a relativist point of view, exactly what is
meant by saying that the electron is revolving. This difficulty is
not diminished by the hypothesis of spinning electrons. We have the
same difficulties as in the case of absolute rotation and Foucault's
pendulum—the difficulties, namely, which Newton advanced to prove
the necessity of absolute motion. Within the system consisting of the
electron and proton alone, nothing is changing while the electron
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