The question now arises: what really is measured by a clock? When we
speak of a clock in the theory of relativity, we do not mean only
clocks made by human hands: we mean anything which goes through some
regular periodic performance. The earth is a clock, because it rotates
once in every twenty-three hours and fifty-six minutes. An atom is a
clock, because the electrons go round the nucleus a certain number of
times in a second; its properties as a clock are exhibited to us in
its spectrum, which is due to light waves of various frequencies. The
world is full of periodic occurrences, and fundamental mechanisms,
such as atoms, show an extraordinary similarity in different parts of
the universe. Any one of these periodic occurrences may be used for
measuring time; the only advantage of humanly manufactured clocks is
that they are specially easy to observe. One question is: If cosmic
time is abandoned, what is really measured by a clock in the wide sense
that we have just given to the term?
Each clock gives a correct measure of its own “proper” time, which,
as we shall see presently, is an important physical quantity. But it
does not give an accurate measure of any physical quantity connected
with events on bodies that are moving rapidly in relation to it. It
gives one datum towards the discovery of a physical quantity connected
with such events, but another datum is required, and this has to be
derived from measurement of distances in space. Distances in space,
like periods of time, are in general not objective physical facts, but
partly dependent upon the observer. How this comes about must now be
explained.
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