A satisfactory explanation to the question put forward above can only be
thus given:—that the physical system composed of S₁ and S₂ shows for
itself alone no conceivable cause to which the different behaviour of S₁
and S₂ can be attributed. The cause must thus lie outside the system. We
are therefore led to the conception that the general laws of motion
which determine specially the forms of S₁ and S₂ must be of such a kind,
that the mechanical behaviour of S₁ and S₂ must be essentially
conditioned by the distant masses, which we had not brought into the
system considered. These distant masses, (and their relative motion as
regards the bodies under consideration) are then to be looked upon as
the seat of the principal observable causes for the different behaviours
of the bodies under consideration. They take the place of the imaginary
cause R₁. Among all the conceivable spaces R₁ and R₂ moving in any
manner relative to one another, there is a priori, no one set which can
be regarded as affording greater advantages, against which the objection
which was already raised from the standpoint of the theory of knowledge
cannot be again revived. The laws of physics must be so constituted that
they should remain valid for any system of co-ordinates moving in any
manner. We thus arrive at an extension of the relativity postulate.
Besides this momentous episteomological argument, there is also a
well-known physical fact which speaks in favour of an extension of the
relativity theory. Let there be a Galiliean co-ordinate system K
relative to which (at least in the four-dimensional region considered) a
mass at a sufficient distance from other masses move uniformly in a
line. Let K′ be a second co-ordinate system which has a uniformly
accelerated motion relative to K. Relative to K′ any mass at a
sufficiently great distance experiences an accelerated motion such that
its acceleration and the direction of acceleration is independent of its
material composition and its physical conditions.
Can any observer, at rest relative to K′, then conclude that he is in an
actually accelerated reference-system? This is to be answered in the
negative; the above-named behaviour of the freely moving masses relative
to K′ can be explained in as good a manner in the following way. The
reference-system K′ has no acceleration. In the space-time region
considered there is a gravitation-field which generates the accelerated
motion relative to K′.
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