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)
There is one other new phenomenon predicted by the theory, which falls
within the reach of observation with our present means. Gravitation
chiefly affects the time-component of the four-dimensional
continuum, in such a way that natural clocks appear to run slower
in a strong gravitational field than in a weak one. Thus, if we
make the hypothesis--which, though extremely probable, is still
a hypothesis--that an atom emitting or absorbing light-waves is a
natural clock, and the further hypothesis--still very probable, though
less so than the former--that there is nothing to interfere with its
perfect running, then an atom on the sun will give off light-waves
of smaller frequency than a similar atom in a terrestrial laboratory
emits. Opinions as yet differ as to whether this is confirmed or
contradicted by observations.
The great strength and the charm of Einstein's theory do however
not lie in verified predictions, nor in the explanation of small
outstanding discrepancies, but in the complete attainment of its
original aim: the identification of gravitation and inertia, and in
the wide range of formerly apparently unconnected subjects which it
embraces, and the broad view of nature which it affords.
Outside matter, as has been explained, the law of gravitation restricts
the curvature of time-space. Inside continuous matter the curvature
can be of any arbitrary kind or amount; the law of gravitation then
connects this curvature with measurable properties of the matter,
such as density, velocity, stress, etc. Thus these properties define
the curvature, or, if preferred, the curvature defines the properties
of matter, i.e. matter itself.
From these definitions the laws of conservation of energy, and of
conservation of momentum, can be deduced by a purely mathematical
process. Thus these laws, which at one time used to be considered
as the most fundamental ones of mechanics, now appear as simple
corollaries from the law of gravitation. It must be pointed out that
such things as length, velocity, energy, momentum, are not absolute,
but relative, i.e. they are not attributes of the physical reality,
but relations between this reality and the observer. Consequently
the laws of conservation are not laws of the real world, like the
law of gravitation, but of the observed phenomena. There is, however
one law which, already before the days of relativity, had come to be
considered as the most fundamental of all, viz: the principle of least
action. Now action is absolute. Accordingly this principle retains its
central position in Einstein's theory. It is even more fundamental than
the law of gravitation, since both this law, and the law of motion,
can be derived from it. The principle of least action, so far as we
can see at present, appears to be the law of the real world.
XI
THE PRINCIPLE OF GENERAL RELATIVITY
How Einstein, to a Degree Never Before Equalled, Isolates the External
Reality from the Observer's Contribution
Public-domain text, read in full here on John Shaqi.
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