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)
general theory there is no postulate of the constancy of velocity of a
light-signal and accordingly no method of assigning a time to events
corresponding to that adopted in the special theory. In this latter
theory attention was confined to material systems moving with uniform
velocity with respect to each other and it developed that the velocity
of light was the ultimate velocity faster than which no system could
move--a result surprising and a priori rather repugnant. It is merely
a consequence of our mode of comparing times of events; if some other
method--thought transference, let us say--were possible the velocity
of this would be the "limiting velocity."
In conclusion we should remark that the postulated equivalence of
"gravitational" and "centrifugal" forces demands that anything
possessed of inertia will be acted upon by a gravitational field and
this leads to a possible identification of matter and energy. Further
our guiding idea (a) will prompt us to say, following the example
of Faraday in his electrical researches, that the geodesics of a
gravitational space have a physical existence as distinct from a mere
mathematical one. The four-dimensional space we may call the ether, and
so restore this bearer of physical forces to the position it lost when,
as a three-dimensional idea in the Special Relativity Theory, it had to
bear an identical relation to a multitude of relatively moving material
systems. The reason for our seemingly paradoxical title for an essay on
Relativity will be clear when it is remembered that in the new theory
we consider those space-time properties which are absolute or devoid
of reference to any particular material reference-frame. Nevertheless,
although the general characteristics of the theory are thus described,
without reference to experiment, when the theory is to be tested it
is necessary to state what the four coordinates discussed actually
are--how they are determined by measurement. It is our opinion that
much remains to be done to place this portion of the subject on a
satisfactory basis. For example, in the derivation of the nature
of the gravitational space, surrounding a single attracting body,
most of the accounts use Cartesian coordinates as if the space were
Euclidean and step from these to polar coordinates by the formulæ
familiar in Euclidean geometry. But these details are, perhaps,
like matters of elegance, if we shall be allowed to give Einstein's
quotation from Boltzmann, to be left to the "tailor and the cobbler."
XVII
THE PHYSICAL SIDE OF RELATIVITY
The Immediate Contacts Between Einstein's Theories and Current Physics
and Astronomy
BY PROFESSOR WILLIAM H. PICKERING
HARVARD COLLEGE OBSERVATORY,
MANDEVILLE, JAMAICA
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