The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
If now our system cannot be isolated, we must return to the phenomena of
translational motion. In principle the act of isolation cannot be
performed, the rest of the universe cannot be disregarded, and we should
expect that different states of translational motion as well as
different states of rotational motion with respect to the rest of the
universe would have an effect on phenomena. We set ourselves the problem
of understanding this apparent enormous difference between phenomena of
translation and rotation. We remark that what apparently is a difference
in principle may, in virtue of the approximate character of all
measurement, be only a difference in magnitude, and that translational
effects may exist too small to detect. A physical basis for such a
difference may be found in the enormously different numerical values of
translational and rotational velocities with respect to the rest of the
universe attainable in practice. In describing phenomena of cosmic
magnitude, we may plausibly measure the phenomena in units commensurable
with the scale of the phenomena. Thus in measuring linear distances, we
may perhaps choose as the unit of length the diameter of the stellar
universe, and in measuring rotation, a complete reversal of direction
with respect to the entire universe. This last means a change of angular
orientation of 2 π, the first means a length of the order of 10^6 light
years. Measured in such cosmic units the angular velocities attainable
in practice are incomparably greater than linear velocities. We now see
that it is possible that the real state of affairs is as follows:
namely, phenomena in any system are affected by motion with respect to
the entire universe, whether that motion is of translation or of
rotation, and the magnitude of the effect is connected with the velocity
of the motion by a factor which is of the general order of unity when
velocity is measured in cosmic units. This last is merely an application
of the argument so often made in physics as to the order of magnitude of
unknown numerical factors, and will be found expanded on page 88 of my
book on _Dimensional Analysis_. The linear velocities attainable in
practice are now so exceedingly low that their effect has not yet been
detected experimentally, but angular velocities are high, and the effect
is easily demonstrable. In this light the special principle of
relativity is no different in character from any other physical law; it
is only approximate, and some day our measurements may become refined
enough to detect its limitations.
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