Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000Bird, J. Malcolm (James Malcolm)
Philosophy
Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000
Bird, J. Malcolm (James Malcolm)
Relativity (Physics)
[Time is generally conceived as perfectly uniform. How do we judge
about it? What tells us that the second just elapsed is equal to the
one following? By the very nature of time the superposition of its
successive intervals is impossible. How then can we talk about the
relative duration of these intervals? It is clear that any relationship
between them can only be conventional.]178 [As a matter of fact, we
habitually measure time in terms of moving bodies. The simplest method
is to agree that some entity moves with uniform velocity. It will be
considered as travelling equal distances in equal intervals of time,
the distances to be measured as may be specified by our assumptions
governing this department of investigation.]179 [The motions of the
earth through which we ultimately define the length of day and year,
the division of the former into 86,400 "equal" intervals as defined by
the motions of pendulum or balance wheel through equal distances, are
examples of this convention of time measurement. Even when we correct
the motions of the earth, on the basis of what our clocks tell us of
these motions, we are following this lead; the earth and the clocks
fall out, it is plain that one of them does not satisfy our assumption
of equal lengths in equal times, and we decide to believe the clock.]*
[The foregoing concerning time may be accepted as inherent in
time itself. But concerning lengths it may be thought that we
are able to verify absolutely their equality and especially their
invariability. Let us have the audacity to verify this statement. We
have two lengths, in the shape of two rods, which coincide perfectly
when brought together. What may we conclude from this coincidence? Only
that the two rods so considered have equal lengths at the same
place in space and at the same moment. It may very well be that each
rod has a different length at different locations in space and at
different times; that their equality is purely a local matter. Such
changes could never be detected if they affected all objects in the
universe. We cannot even ascertain that both rods remain straight
when we transport them to another location, for both can very well
take the same curvature and we shall have no means of detecting it.
Public-domain text, read in full here on John Shaqi.
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