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)
But gravitation has this in common with inertia, and in this it
differs from all other interferences, that it is perfectly general. All
material bodies are equally subjected to it, whatever their physical
or chemical status may be. But there is more. Gravitation and inertia
are actually indistinguishable from each other, and are measured
by the same number: the "mass". This was already remarked by Newton
himself, and from his point of view it was a most wonderful accidental
coincidence. If an apple falls from the tree, that which makes it fall
is its weight, which is the gravitational attraction by the earth,
diminished by the centrifugal force due to the earth's rotation and the
apple's inertia. In Newton's system the gravitational attraction is a
"real" force, whereas the centrifugal force is only "fictitious". But
the one is as real as the other. The most refined experiments,
already begun by Newton himself, have not succeeded in distinguishing
between them. Their identity is actually one of the best established
facts in experimental physics. From this identity of "fictitious," or
inertial, and "real," or gravitational, forces it follows that locally
a gravitational field can be artificially created or destroyed. Thus
inside a closed room which is falling freely, say a lift of which the
cable has been broken, bodies have no weight: a balance could be in
equilibrium with different weights in the two scales.
Having thus come to the conclusion that gravitation is not an
interference, but is identical with inertia, we are tempted to restate
the law of motion, so as to include both, thus:
Bodies which are not interfered with--do not move in straight
lines, but--fall.
Now this is exactly what Einstein did. Only the "falling" of
course requires a precise mathematical definition (like the uniform
motion in a straight line), and the whole gist of his theory is the
finding of that definition. In our earthly experience the falling
never lasts long, very soon something--the floor of the room, or
the earth itself--interferes. But in free space bodies go on falling
forever. The motion of the planets is, in fact, adequately described as
falling, since it consists in nothing else but obeying Newton's law of
gravitation together with his law of inertia. A body very far removed
from all other matter is not subjected to gravitation, consequently it
falls with constant velocity in a straight line according to the law
of inertia. The problem was thus to find a mathematical definition of
"falling," which would embrace the uniform straight-line motion very
far from all matter as well as the complex paths of the planets around
the sun, and of an apple or a cannon-ball on earth.
GRAVITATION AND SPACE-TIME
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