Lord Kelvin's incipient kinetic theory of elasticity is a complicated
matter, and I will only briefly enter upon it. But before doing so, I
want to remove an objection which is sometimes felt, as to the fluid
and easily permeable character of a medium of this great
density,--that is to say, as to the absence of friction or
viscosity--the absence of resistance to bodies moving through it. As a
matter of fact there is no necessary connexion whatever between
density and viscosity.
'Density' and 'Viscosity' are entirely different things; and, if there
is no fluid friction, a fluid may have any density you please without
interposing any obstacle to constant velocity. To _acceleration_ it
does indeed oppose an obstacle, but that appears as essentially a part
of the inertia or massiveness of the moving body. It contributes to
its momentum; and, if the fluid is everywhere present, it is
impossible to discriminate between, or to treat separately, that part
of the inertia which belongs to the fluid displaced, and that part
which belongs to the body moving through it,--except by theory.
As for the elasticity of the ether, that is ascertainable at once from
the speed at which it transmits waves. That speed--the velocity of
light--is accurately known, 3 × 10¹⁰ centimetres per second. And
the ratio of the elasticity or rigidity to the density is equal to the
square of this speed;--that is to say, the elasticity must be 9 ×
10²⁰ times the density; or, in other words, 10³³ C.G.S. units.
That is an immediate consequence of the estimate of density and the
fact of the velocity of light; and if the density is admitted, the
other cannot be contested.
But we must go on to ask, To what is this rigidity due? If the ether
does not consist of parts, and if it is fluid, how can it possess the
rigidity appropriate to a solid, so as to transmit transverse waves?
To answer this we must fall back upon Lord Kelvin's kinetic theory of
elasticity:--that it must be due to rotational motion--intimate
fine-grained motion throughout the whole etherial region--motion not
of the nature of locomotion, but circulation in closed curves,
returning upon itself,--vortex motion of a kind far more finely
grained than any waves of light or any atomic or even electronic
structure.
Now if the elasticity of any medium is to be thus explained
kinetically, it follows, as a necessary consequence, that the speed
of this internal motion must be comparable to the speed of wave
propagation;--that is to say that the internal squirming circulation,
to which every part of the ether is subject, must be carried on with a
velocity of the same order of magnitude as the velocity of light.
Public-domain text, read in full here on John Shaqi.
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