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)
Accurate observations always consist of measures, determining the
position of material bodies in space. But the positions change,
and for a complete description we also require measures of time. An
important remark must be made here. Nobody has ever measured a
pure space-distance, nor a pure lapse of time. The only thing that
can be measured is the distance from a body at a certain point of
space and a certain moment of time, to a body (either the same or
another) at another point and another time. We can even go further
and say that time cannot be measured at all. We profess to measure
it by clocks. But a clock really measures space, and we derive the
time from its space-measures by a fixed rule. This rule depends
on the laws of motion of the mechanism of the clock. Thus finally
time is defined by these laws. This is so, whether as a "clock"
we use an ordinary chronometer, or the rotating earth, or an atom
emitting light-waves, or anything else that may be suggested. The
physical laws, of course, must be so adjusted that all these devices
give the same time. About the reality of time, if it has any, we
know nothing. All we know about time is that we want it. We cannot
adequately describe nature with the three space-coordinates alone,
we require a fourth one, which we call time. We might thus say with
some reason that the physical world has four dimensions. But so long
as it was found possible adequately to describe all known phenomena
by a space of three dimensions and an independent time, the statement
did not convey any very important information. Only after it had been
found out that the space-coordinates and the time are not independent,
did it acquire a real meaning.
As is well known the observation by which this was found out is the
famous experiment of Michelson and Morley. It led to the "special"
theory of relativity, which is the one referred to by Minkowski
in 1908. In it a geometry of four dimensions is used, not a mere
combination of a three-dimensional space and a one-dimensional time,
but a continuum of truly fourfold order. This time-space is not
Euclidean, since the time-component and the three space-components
are not on the same footing, but its fundamental formula has a
great resemblance to that of Euclidean geometry. We may call it
"pseudo-Euclidean."
Public-domain text, read in full here on John Shaqi.
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