Let us take again the instance of the propagation of heat. Every
molecule emits rays toward every neighboring molecule. According to what
law, we do not need to know. If we should make any supposition in regard
to this, it would be a neutral hypothesis and consequently useless and
incapable of verification. And, in fact, by the action of averages and
thanks to the symmetry of the medium, all the differences are leveled
down, and whatever hypothesis may be made, the result is always the
same.
The same circumstance is presented in the theory of electricity and in
that of capillarity. The neighboring molecules attract and repel one
another. We do not need to know according to what law; it is enough for
us that this attraction is sensible only at small distances, and that
the molecules are very numerous, that the medium is symmetrical, and we
shall only have to let the law of great numbers act.
Here again the simplicity of the elementary phenomenon was hidden under
the complexity of the resultant observable phenomenon; but, in its turn,
this simplicity was only apparent, and concealed a very complex
mechanism.
The best means of arriving at the elementary phenomenon would evidently
be experiment. We ought by experimental contrivance to dissociate the
complex sheaf that nature offers to our researches, and to study with
care the elements as much isolated as possible. For example, natural
white light would be decomposed into monochromatic lights by the aid of
the prism, and into polarized light by the aid of the polarizer.
Unfortunately that is neither always possible nor always sufficient, and
sometimes the mind must outstrip experiment. I shall cite only one
example, which has always struck me forcibly.
If I decompose white light, I shall be able to isolate a small part of
the spectrum, but however small it may be, it will retain a certain
breadth. Likewise the natural lights, called _monochromatic_, give us a
very narrow line, but not, however, infinitely narrow. It might be
supposed that by studying experimentally the properties of these natural
lights, by working with finer and finer lines of the spectrum, and by
passing at last to the limit, so to speak, we should succeed in learning
the properties of a light strictly monochromatic.
That would not be accurate. Suppose that two rays emanate from the same
source, that we polarize them first in two perpendicular planes, then
bring them back to the same plane of polarization, and try to make them
interfere. If the light were _strictly_ monochromatic, they would
interfere. With our lights, which are nearly monochromatic, there will
be no interference, and that no matter how narrow the line. In order to
be otherwise it would have to be several million times as narrow as the
finest known lines.
Public-domain text, read in full here on John Shaqi.
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