If we take the above view, there will be three kinds of things to
consider in physics: transactions, steady events, and rhythms.
Transactions are dominated by quantum laws. Steady events continue,
without internal change, from one transaction to the next, or
throughout a certain portion of a continuous change; percepts are
steady events, or rather systems of steady events. The relation of a
steady event to a rhythm I conceive according to a musical analogy:
that of a long note on the violin while a series of chords occurs
repeatedly on the piano. All our life is lived to the accompaniment
of a rhythm of breathing and heart-beating, which provides us with a
physiological clock by which we can roughly estimate times. I imagine,
perhaps fancifully, something faintly analogous as an accompaniment to
every steady event. There are laws connecting the steady event with
the rhythm; these are the laws of harmony. There are laws regulating
transactions; these are the laws of counterpoint.
We must assume periodicity as a feature of the state of affairs where
there are steady events, since we cannot state[Pg 364] the quantum principle
without it. We have to find a meaning for "frequency" in order to
connect energy with . It is not altogether easy to see how one
frequency is to be compared with another. In the case of light, we
can estimate the distance between the crest of one wave and the crest
of the next. Knowing the velocity of light, this tells us how many
waves pass a given place in a second. But here the periodicity exists
for the outside observer; for an observer travelling on the crest of
a given wave, there is no process and no periodicity. For an outside
observer, there is a process in the motion of the light-wave; but our
observer on the wave considers himself to be at rest, and presumably
does not see objects flying past him. Thus for him the periodicity
of a light-wave is spatial rather than temporal. One light-wave will
consist of a series , , ... ,
... of steady events, the intervals between which are space-like; the
next will consist of a series , , ... ,
..., again having space-like intervals from each other and from the
previous series; and will have a similarity of
quality which neither has to or (where is
different from ). Each of these events is supposed to continue
as long as the light-wave continues, i.e. until there is a
transaction. Given any event which is connected with matter,
may be compresent with , ... , ...
, ... , ... successively, but not with
all at once. This is what happens when a light-wave passes an observer
or any other piece of matter. A series of events forming one light-wave
are inseparably associated, in the sense that when there is one of
them there will be others throughout the space covered by the wave.
Similarly the series of events (if any) involved in the revolution of
an electron are inseparably associated; but there is this difference,
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