52 Scientific Proceedings, Royal Dublin Society. 
spirality is being lost by the original spiral. If we call this new 
circularly distributed vector H, and make its magnitude such that 
its square is equal to mean energy of this new motion, then, 
assuming wave propagation, we get, on account of the relation of © 
direction between H and H, and of their velocities being small 
compared with the irregular motions already existing (so that we 
can assume them to be superposable linearly), that H must depend 
linearly on E, thus 
E=A.VAH 
where A is a quantity, a velocity depending on the structure of 
the medium, i.e. depending on the nature of the turbulency in 
the undisturbed ether. 
If we now can assume that, in the general case, the energy 
of the medium is the sum of its energies due to these two vectors, 
which, so far as they affect one another, are at right angles to one 
another, then we can write for the energy per unit volume of 
the ether 
Oa JB? te Jel, 
From this, and the principle of conservation of energy, we can 
conclude that H = -—AVAZ, and from these that 
SAE=0, and SAH =0, 
so that, if at any time SAH =0, and SAH =0, they will continue ~ 
so. 
Now, these are the fundamental equations of wave propagation 
in the ether, and it only remains to explain wherein electric 
charges consist upon this hypothesis. 
If we consider a point on a spiral vortex, and suppose that 
the spirality is so arranged that on both sides the flow of fluid 
within the coils is away from the point, then the spirality on one 
side of the point must be a right-handed screw, and on the other 
side a left-handed screw. Now, a point of this kind would be 
unique in the vortex. It would, so far as the fluid outside the 
vortex coils was concerned, be a sort of source from which fluid 
was flowing in all directions. This flow would, at a short dis- 
tance from the source, be extremely slow, and the action between 
such points with their vortex spirals would be almost entirely 
