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)
It thus becomes plain that our two observers are merely looking at the
same thing from different viewpoints. Each has just as much right as
the other to regard himself as being at rest in ordinary space (this is
the postulate of the relativity of uniform motion) and to regard his
time direction as a straight line in the four-space. The difference
is merely that the two time axes are inclined to each other. If,
however, one were moving with an acceleration with reference to the
other his path in the four-space will appear curved to the other,
though he himself, since he regards it as his time axis, will still
assume it to be straight. If there is a body moving in what one
observer sees to be a straight line, the other will, of course,
in general see it as curved, and following the usual custom, since
this body, without apparent reason, deviates from the straight path,
will say there must be some force acting on it. Thus the curvature
of his time axis, due to his accelerated motion, makes it appear
that there is round him a field of force, which causes freely moving
bodies to deviate from the straight path. Now if space-time is itself
inherently curved it is not generally possible for any line in it to
be straight any more than it is possible for any line on the surface
of a sphere to be straight. Hence, all axes must be curved, and all
observers, whatever their states of motion, must experience fields of
force which are of the same nature as those due to motion only. The
extra force experienced when a lift begins to rise is an example of
force due to pure motion: gravitation is the similar force due to an
inherent curvature of the four-space, and it was the postulate that
these forces were similar that made possible Einstein's solution of
the general problem of gravitation.
THE TIME DIAGRAM
Public-domain text, read in full here on John Shaqi.
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