These rays can be deflected, whether by an electric field, or by a
magnetic field, and we are able, by comparing these deflections, to
measure at the same time the velocity of the electrons and their mass
(or rather the relation of their mass to their charge). But when it was
seen that these velocities approached that of light, it was decided that
a correction was necessary. These molecules, being electrified, can not
be displaced without agitating the ether; to put them in motion it is
necessary to overcome a double inertia, that of the molecule itself and
that of the ether. The total or apparent mass that one measures is
composed, therefore, of two parts: the real or mechanical mass of the
molecule and the electrodynamic mass representing the inertia of the
ether.
The calculations of Abraham and the experiments of Kaufmann have then
shown that the mechanical mass, properly so called, is null, and that
the mass of the electrons, or, at least, of the negative electrons, is
of exclusively electrodynamic origin. This is what forces us to change
the definition of mass; we can not any longer distinguish mechanical
mass and electrodynamic mass, since then the first would vanish; there
is no mass other than electrodynamic inertia. But in this case the mass
can no longer be constant; it augments with the velocity, and it even
depends on the direction, and a body animated by a notable velocity will
not oppose the same inertia to the forces which tend to deflect it from
its route, as to those which tend to accelerate or to retard its
progress.
There is still a resource; the ultimate elements of bodies are
electrons, some charged negatively, the others charged positively. The
negative electrons have no mass, this is understood; but the positive
electrons, from the little we know of them, seem much greater. Perhaps
they have, besides their electrodynamic mass, a true mechanical mass.
The real mass of a body would, then, be the sum of the mechanical masses
of its positive electrons, the negative electrons not counting; mass so
defined might still be constant.
Alas! this resource also evades us. Recall what we have said of the
principle of relativity and of the efforts made to save it. And it is
not merely a principle which it is a question of saving, it is the
indubitable results of the experiments of Michelson.
Well, as was above seen, Lorentz, to account for these results, was
obliged to suppose that all forces, whatever their origin, were reduced
in the same proportion in a medium animated by a uniform translation;
this is not sufficient; it is not enough that this take place for the
real forces, it must also be the same for the forces of inertia; it is
therefore necessary, he says, that _the masses of all the particles be
influenced by a translation to the same degree as the electromagnetic
masses of the electrons_.
Public-domain text, read in full here on John Shaqi.
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