We suppose, therefore, that throughout an electromagnetic field there
are events whose formal properties we know more or less, and that they,
not the change of spatial configuration, are the immediate
causes of what takes place. This brings us back to the cycle of events
which we used in the preceding chapter to define a rhythm. The point is
that a rhythm can never consist merely in periodic changes of spatial
relation between two or more bodies, but must consist of qualitative
cycles of events. We have experience of such cycles when[Pg 360] we watch a
large-scale periodic event, such as the swing of a pendulum. All that
happens to us during the cycle happens in us, not in a number
of different places; and any effect upon us depends upon what happens
to us. I am suggesting that this is a proper analogy when we wish to
understand how a periodic motion affects an electron.
I come now to what I shall call "transactions," by which I mean quantum
changes. I call them "transactions" because energy is exchanged between
different processes. The processes concerned must be periodic, since
otherwise the quantum principle is unnecessary. In the simplest case,
that of emission of light by a hydrogen atom, we have as antecedent,
speaking the language of the older quantum theory, one periodic process
(the revolution of the electron in an orbit other than the minimum
orbit) and as consequent two processes, namely: (1) The revolution
of the electron in a smaller orbit, (2) a light-wave. The latter, as
already explained, is only periodic in a certain sense. The energy
of the antecedent is the sum of the energies of the consequents. The
amount of action during one period of the antecedent is a multiple of
, and so are the amounts of action of the consequents during one
period of each. Exactly the converse occurs when light is absorbed
by a hydrogen atom. In other cases, both the antecedent and the
consequent may consist of two or more rhythms; but always there will
be conservation of energy, and each rhythm will contain an amount of
action which is a multiple of .
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