The two principles which I have mentioned have received strong
experimental confirmation, but do not seem to be logically
compatible. The special relativity theory achieved their logical
reconciliation by making a change in kinematics, that is to say,
in the doctrine of the physical laws of space and time. It became
evident that a statement of the coincidence of two events could have
a meaning only in connection with a system of coordinates, that the
mass of bodies and the rate of movement of clocks must depend on
their state of motion with regard to the coordinates.
The Older Physics.--But the older physics, including the laws of
motion of Galileo and Newton, clashed with the relativistic kinematics
that I have indicated. The latter gave origin to certain generalized
mathematical conditions with which the laws of nature would have to
conform if the two fundamental principles were compatible. Physics had
to be modified. The most notable change was a new law of motion for
(very rapidly) moving mass-points, and this soon came to be verified
in the case of electrically-laden particles. The most important result
of the special relativity system concerned the inert mass of a material
system. It became evident that the inertia of such a system must depend
on its energy-content, so that we were driven to the conception that
inert mass was nothing else than latent energy. The doctrine of the
conservation of mass lost its independence and became merged in the
doctrine of conservation of energy.
The special relativity theory which was simply a systematic extension
of the electro-dynamics of Maxwell and Lorentz, had consequences which
reached beyond itself. Must the independence of physical laws with
regard to a system of coordinates be limited to systems of coordinates
in uniform movement of translation with regard to one another? What has
nature to do with the coordinate systems that we propose and with their
motions? Although it may be necessary for our descriptions of nature
to employ systems of coordinates that we have selected arbitrarily,
the choice should not be limited in any way so far as their state of
motion is concerned. (General theory of relativity.) The application
of this general theory of relativity was found to be in conflict
with a well-known experiment, according to which it appeared that
the weight and the inertia of a body depended on the same constants
(identity of inert and heavy masses). Consider the case of a system of
coordinates which is conceived as being in stable rotation relative
to a system of inertia in the Newtonian sense. The forces which,
relatively to this system, are centrifugal must, in the Newtonian
sense, be attributed to inertia. But these centrifugal forces are,
like gravitation, proportional to the mass of the bodies. Is it not,
then, possible to regard the system of coordinates as at rest, and
the centrifugal forces as gravitational? The interpretation seemed
obvious, but classical mechanics forbade it.
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