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)
The theory of relativity is so widespread in its application that
several other theories have become more or less intimately combined
with it, for which Einstein is in no way responsible. One of these is
known as the Fitzgerald-Lorentz theory, that all bodies are subject to
a contraction in the direction of their motions through space. This was
first suggested in order to explain the Michelson-Morley experiment,
but has proved inadequate to do so, particularly when the observer is
receding from the source. This contraction is expressed by the same
factor used in the denominator of the revised expression for momentum,
given above. Again the quantity $c$ is so enormous, that even for
large bodies at planetary velocities the contraction amounts to very
little. Thus the earth moving at a speed of eighteen miles per second
in its orbit, is flattened only 1/200,000,000, or 2.5 inches. On the
other hand for high velocities of many thousand miles per second,
such as we have become familiar with in the case of the radioactive
substances, the flattening is a very considerable fraction of the
diameter of the moving body, one-half or more, and in the case of
the corpuscles of light, if that theory were adopted, this flattening
becomes equal to the diameter, and their thickness is reduced to zero.
When we view Einstein's theories from the astronomical standpoint,
the earliest fact bearing on relativity that we need consider was
the discovery of aberration, by Bradley, in 1726, as seen above. In
1872 Airy observed the star g Draconis through a telescope filled
with water. Since the velocity of light is less in water than in
air, we should naturally expect to find the aberration appreciably
increased. It was found, on the other hand, however, to be unaffected.
In 1887 the results of the famous Michelson-Morley experiment were
published.7 In this experiment the velocity of light was measured
in various directions with regard to the motion of the earth in its
orbit. If the ether were stationary, and the earth moving through it,
different velocities should be obtained in different directions. Such
was not the case however, and the experiment indicated that the ether
moved with the earth. It thus flatly contradicted the conclusions
founded on aberration.
Einstein's Special Theory of Relativity, of 1905, as we have seen,
resolves this contradiction. But as we shall presently see, it is the
General Theory, of 1915, that leads to astronomical applications of
broad scope. It indicates, for instance, that there is no essential
difference between gravitation and inertia. This idea may be crudely
illustrated by our feelings of increased weight when an elevator
starts rapidly upwards. A man while falling freely in space ceases
to feel the pull of gravitation.
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