that we do not select a unit interval of time and find how many times
it is contained in the interval in question. (Similarly, we do not
"measure" the pitch of a sound or the temperature of a room.) Our
practical instruments for assigning numbers to time-intervals depend
in the main upon our agreeing to believe that a pendulum swings in
a perfectly uniform manner, each vibration taking the same time as
the next one. Of course we cannot prove that this is true, it is,
strictly speaking, a definition of what we mean by equal intervals
of time; and it is not a particularly good definition at that. Its
limitations are sufficiently obvious. The best way to proceed is
to consider the concept of uniform velocity, and then, using the
idea of some entity having such a uniform velocity, to define equal
intervals of time as such intervals as are required for the entity
to traverse equal lengths. These last we have already defined. What
is required in addition is to adopt some moving entity as giving our
definition of uniform velocity. Considering our known universe it
is self-evident that we should choose in our definition of uniform
velocity the velocity of light, since this selection could be made by
an observer anywhere in our universe. Having agreed then to illustrate
by the words "uniform velocity" that of light, our definition of equal
intervals of time is complete. This implies, of course, that there is
no uncertainty on our part as to the fact that the velocity of light
always has the same value at any one point in the universe to any
observer, quite regardless of the source of light. In other words,
the postulate that this is true underlies our definition. Following
this method Einstein developed a system of measuring both space and
time intervals. As a matter of fact his system is identically that
which we use in daily life with reference to events here on the
earth. He further showed that if a man were to measure the length
of a rod, for instance, on the earth and then were able to carry the
rod and his measuring apparatus to Mars, the sun, or to Arcturus he
would obtain the same numerical value for the length in all places
and at all times. This doesn't mean that any statement is implied
as to whether the length of the rod has remained unchanged or not;
such words do not have any meaning--remember that we can not speak of
true length. It is thus clear that an observer living on the earth
would have a definite system of units in terms of which to express
space and time intervals, i.e., he would have a definite system
of space coordinates (x, y, z) and a definite time coordinate (t);
and similarly an observer living on Mars would have his system of
coordinates (x', y', z', t'). Provided that one observer has a definite
uniform velocity with reference to the other, it is a comparatively
simple matter to deduce the mathematical relations between the two
sets of coordinates. When Einstein did this, he arrived at the same
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account