The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
But there is no charge smaller
than an electron, and the procedure degenerates into a fiction. Again
there is a single integral condition on the field vectors; the integral
of the force on the assumed charge density when taken over the total
volume of the electron must give a value corresponding to experiment.
Except for this single condition, the concept of the field at points
inside the electron is an invention without physical reality. Not only
is the field concept meaningless at points inside the electron, but it
is meaningless at points outside within a certain distance, because the
exploring charge can never be made smaller than the electron itself, and
so can never come closer than a certain distance.
The actual state of affairs is much worse than has already appeared. It
was shown in the discussion of space and time that no independent
physical meaning can be attached to lengths and times as small as have
to be assumed in describing the behavior of the individual electrons.
The operations Div, Curl, d/dt which enter the field equations are,
therefore, physically meaningless as they stand; they have only a
mathematical meaning which begins to acquire physical complexion in a
most complicated way when the equations are integrated over large enough
volumes.
It is evident, therefore, that the concepts which enter the field
equations have entirely lost their large scale significance; they have
become blurred, fused together, and fewer in number. A precise analysis
of this situation has probably never been attempted and would obviously
be difficult: it would be interesting to know at least how many really
independent concepts there are at this order of phenomena. An attempt at
an analysis would probably be worth while from a physical point of view
in suggesting possible experiments by which the number of physically
independent concepts could be extended.
Since the quantities in the field equations are meaningless in the naked
form in which they enter the equations, it is meaningless to inquire
whether the equations as they stand are true or not. In our present
state of experimental knowledge it is also meaningless to ask whether,
for example, the inverse square law between electric charges continues
to hold, or whether an accelerated charge radiates. These questions have
meaning only when applied to phenomena on a scale large enough to
correspond to possible experiment.
Public-domain text, read in full here on John Shaqi.
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