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)
To make this idea clear, let us imagine two observers, each, with
his measuring instruments, in a large and perfectly impervious box,
which forms his "closed system."
The first observer, with his box and its contents, alone in space,
is entirely at rest.
The second observer, with his box and its contents, is, it may be
imagined, near the earth or the sun or some star, and falling freely
under the influence of its gravitation.
This second box and its contents, including the observer, will then
fall under the gravitational force, that is, get up an ever-increasing
speed, but at exactly the same rate, so that there will be no tendency
for their relative positions to be altered.
According to Newton's principles, this will make not the slightest
difference in the motions of the physical objects comprising the system
or their attractions on one another, so that no dynamical experiment
can distinguish between the condition of the freely falling observer
in the second box and the observer at rest in the first.
But once more the question arises: What could be done by an optical
experiment?
Einstein assumed that the principle of relativity still applied in
this case, so that it would be impossible to distinguish between the
conditions of the observers in the two boxes by any optical experiment.
It can easily be seen that it follows from this new generalized
relativity that light cannot travel in a straight line in a
gravitational field.
Imagine that the first observer sets up three slits, all in a straight
line. A ray of light which passes through the first and second will
obviously pass exactly through the third.
Suppose the observer in the freely falling system attempts the same
experiment, having his slits $P$, $Q$, $R$, equally spaced, and placing
them at right angles to the direction in which he is falling. When
the light passes through $P$, the slits will be in certain position
$P_1 Q_1 R_1$ (Figure). By the time it reaches $Q$, they will have
fallen to a lower level, $P_2 Q_2 R_2$, and when it reaches $R$,
they will be still lower, $P_3 Q_3 R_3$. The times which the light
takes to move from $P$ to $Q$ and $Q$ to $R$ will be the same: but,
since the system is falling ever faster and faster the distance $R_2
R_3$ will be greater than $Q_1 Q_2$. Hence, if the light which has
passed through $P$ and $Q$ moves in a straight line, it will strike
above $R$, as is illustrated by the straight line in the figure. But,
on Einstein's assumption, the light must go through the third slit,
as it would do in the system at rest, and must therefore move in a
curved line, like the curved line in the figure, and bend downward
in the direction of the gravitational force.
THE TESTS
Public-domain text, read in full here on John Shaqi.
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