The most satisfactory theory we have is that of Lorentz, which, as we
shall see in the last chapter, explains electric currents by the motions
of little electrified particles; it is unquestionably the one which best
explains the known facts, the one which illuminates the greatest number
of true relations, the one of which most traces will be found in the
final construction. Nevertheless, it still has a serious defect, which I
have indicated above; it is contrary to Newton's law of the equality of
action and reaction; or rather, this principle, in the eyes of Lorentz,
would not be applicable to matter alone; for it to be true, it would be
necessary to take account of the action of the ether on matter and of
the reaction of matter on the ether.
Now, from what we know at present, it seems probable that things do not
happen in this way.
However that may be, thanks to Lorentz, Fizeau's results on the optics
of moving bodies, the laws of normal and anomalous dispersion and of
absorption find themselves linked to one another and to the other
properties of the ether by bonds which beyond any doubt will never more
be broken. See the facility with which the new Zeeman effect has found
its place already and has even aided in classifying Faraday's magnetic
rotation which had defied Maxwell's efforts; this facility abundantly
proves that the theory of Lorentz is not an artificial assemblage
destined to fall asunder. It will probably have to be modified, but not
destroyed.
But Lorentz had no aim beyond that of embracing in one totality all the
optics and electrodynamics of moving bodies; he never pretended to give
a mechanical explanation of them. Larmor goes further; retaining the
theory of Lorentz in essentials, he grafts upon it, so to speak,
MacCullagh's ideas on the direction of the motions of the ether.
According to him, the velocity of the ether would have the same
direction and the same magnitude as the magnetic force. However
ingenious this attempt may be, the defect of the theory of Lorentz
remains and is even aggravated. With Lorentz, we do not know what are
the motions of the ether; thanks to this ignorance, we may suppose them
such that, compensating those of matter, they reestablish the equality
of action and reaction. With Larmor, we know the motions of the ether,
and we can ascertain that the compensation does not take place.
If Larmor has failed, as it seems to me he has, does that mean that a
mechanical explanation is impossible? Far from it: I have said above
that when a phenomenon obeys the two principles of energy and of least
action, it admits of an infinity of mechanical explanations; so it is,
therefore, with the optical and electrical phenomena.
Public-domain text, read in full here on John Shaqi.
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