A more important example is the question of the size and shape of the
electron. We find experimentally that all electrons are the same size,
and that they are symmetrical in all directions. How far is this a
genuine fact ascertained by experiment, and how far is it a result of
our conventions of measurement? We have here a number of different
comparisons to make: (1) between different directions in regard to one
electron at one time; (2) in regard to one electron at different times;
(3) in regard to two electrons at the same time. We can then arrive
at the comparison of two electrons at different times, by combining
(2) and (3). We may dismiss any hypothesis which would affect all
electrons equally; for example, it would be useless to suppose that in
one region of space-time they were all larger than in another. Such a
change would affect our measuring appliances just as much as the things
measured, and would therefore produce no discoverable phenomena. This
is as much as to say that it would be no change at all. But the fact
that two electrons have the same mass, for instance, cannot be regarded
as purely conventional. Given sufficient minuteness and accuracy, we
could compare the effects of two different electrons upon a third;
if they were equal under like circumstances, we should be able to
infer equality in a not purely conventional sense. The question of
the symmetry of the forces exerted by an electron—_i.e._, that these
forces depend only upon the distance from the electron, and not upon
the direction—is more complicated. Eddington finally comes to the
conclusion that this, too, is a matter of convention. The argument
is difficult and I have not fully understood it; but I feel some
hesitation in accepting it as valid.
Public-domain text, read in full here on John Shaqi.
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