The undulatory theory rests on a molecular hypothesis. For those who
think they have thus discovered the cause under the law, this is an
advantage. For the others it is a reason for distrust. But this distrust
seems to me as little justified as the illusion of the former.
These hypotheses play only a secondary part. They might be sacrificed.
They usually are not, because then the explanation would lose in
clearness; but that is the only reason.
In fact, if we looked closer we should see that only two things are
borrowed from the molecular hypotheses: the principle of the
conservation of energy and the linear form of the equations, which is
the general law of small movements, as of all small variations.
This explains why most of Fresnel's conclusions remain unchanged when we
adopt the electromagnetic theory of light.
MAXWELL'S THEORY.--Maxwell, we know, connected by a close bond two parts
of physics until then entirely foreign to one another, optics and
electricity. By blending thus in a vaster whole, in a higher harmony,
the optics of Fresnel has not ceased to be alive. Its various parts
subsist, and their mutual relations are still the same. Only the
language we used to express them has changed; and, on the other hand,
Maxwell has revealed to us other relations, before unsuspected, between
the different parts of optics and the domain of electricity.
When a French reader first opens Maxwell's book, a feeling of uneasiness
and often even of mistrust mingles at first with his admiration. Only
after a prolonged acquaintance and at the cost of many efforts does this
feeling disappear. There are even some eminent minds that never lose it.
Why are the English scientist's ideas with such difficulty acclimatized
among us? It is, no doubt, because the education received by the
majority of enlightened Frenchmen predisposes them to appreciate
precision and logic above every other quality.
The old theories of mathematical physics gave us in this respect
complete satisfaction. All our masters, from Laplace to Cauchy, have
proceeded in the same way. Starting from clearly stated hypotheses, they
deduced all their consequences with mathematical rigor, and then
compared them with experiment. It seemed their aim to give every branch
of physics the same precision as celestial mechanics.
A mind accustomed to admire such models is hard to suit with a theory.
Not only will it not tolerate the least appearance of contradiction, but
it will demand that the various parts be logically connected with one
another, and that the number of distinct hypotheses be reduced to
minimum.
Public-domain text, read in full here on John Shaqi.
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