The arguments on which an estimate may be made of the density or
massiveness of the ether as compared with that of matter depend on the
following considerations, the validity of which again is dependent
upon an electrical theory of matter. In this theory, or working
hypothesis, an assumption has to be made: but it is one for which
there is a large amount of justification, and the reasons for it are
given in many books,--among others in my book on _Electrons_, and
likewise at the end of the new edition of _Modern Views of
Electricity_, also in my _Romanes Lecture_, published by the Clarendon
Press in 1903. Put briefly, the assumption is that matter is composed,
in some way or other, of electrons; which again must be considered to
be essentially peculiarities, or singularities, or definite
structures, in the ether itself. Indeed, a consideration of electrons
alone is sufficient for the argument, provided it be admitted that
they have the mass which experiment shows them to possess, and the
size which electrical theory deduces for them: the basis of the
idea--which, indeed, is now experimentally proved--being that their
inertia is due to their self-induction,--i.e. to the magnetic field
with which they must be surrounded as long as they are in motion.
The mass, or inertia, of an electron is comparable to the thousandth
part of that of the atom of hydrogen. Its linear dimension, let us say
its diameter, is comparable to the one-hundred-thousandth part of what
is commonly known as molecular or atomic dimension; which itself is
the ten-millionth part of a millimetre.
Hence, the mass and the bulk of an electron being known, its density
is determined, provided we can assume that its mass is all dependent
on what is contained within its periphery. But that last assumption is
one that quite definitely cannot be made: its mass is for the most
part outside itself, and has to be calculated by magnetic
considerations. (See Appendix 2.)
These details are gone into in my paper in the _Philosophical
Magazine_ for April, 1907, and in Chapter XVII of _Modern Views of
Electricity_. But without repeating arguments here, it will suffice
to say that although the estimates may be made in various ways,
differing entirely from each other, yet the resulting differences are
only slight; the calculated densities come out all of the same order
of magnitude, namely, something comparable to 10¹² C.G.S.
units,--that is to say, a million million grammes per cubic
centimetre, or, in other words, a thousand tons to the cubic
millimetre.
But, throughout, we have seen reason to assert that the ether is
incompressible; arguments for this are given in _Modern Views of
Electricity_, Chapter I. And, indeed, the fundamental medium filling
all space, if there be such, _must_, in my judgment, be ultimately
incompressible; otherwise it would be composed of parts, and we should
have to seek for something still more fundamental to fill the
interstices.
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