The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
There is a rather interesting obverse to the statement that it is
meaningless to ask whether the field equations are true, namely, that it
may not be meaningless to state that they are false. A statement is not
true unless it is true in every particular, but it is false if it is
false in a single particular. If we can show that a single consequence
of the field equations of Lorentz, when integrated or averaged in such a
way as to correspond to experimental possibilities, is false, then the
equations must be false. It seems that, regarded as a complete
description of physical behavior on a small scale, the equations must be
judged false, because they contain no suggestion of quantum phenomena.
Even if we have to recognize that the equations are false, there can be
no question that they correspond to an important part of reality, and
that they have been of the greatest service to physics. What is the
significance of the success that they have attained? It is to be noticed
that all the phenomena to which the Lorentz equations have been
successfully applied, although not large scale phenomena in the ordinary
sense of the word, are nevertheless phenomena involving the coöperation
of a number of atoms, and that the equations unquestionably fail when
applied to phenomena involving single electrons. It appears from our
best present evidence that on a small scale the behavior of nature is
governed by quantum principles and is therefore quite different from
large scale behavior, Which we have seen is governed by the Maxwell
equations. There must of course be a transition zone in which the
character of phenomena changes from quantum to Maxwell. Now any program
like that of Lorentz is almost inevitably bound to begin to give correct
results when we get up as far as the transition zone, for the simple
reason that the relations of Maxwell have been put into the equations
and are always there ready to appear as soon as the quantum relations
begin to give way. The physical significance of the success of the
Lorentz program seems to be that the transition from Maxwell to quantum
takes place at a stage pretty far down toward the individual atoms. To
find the precise details of the transition from Maxwell to quantum
phenomena constitutes a large part of the program of the immediate
future.
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