“Thus an atom of one element may combine with another atom of the same kind, to form a molecule of that substance consisting of two atoms. Again, three of these atoms may combine, and form a system consisting of three primary elements, but the chance of their doing so is small compared with the chance of two pairing; so that the number of systems of this kind will be small compared with the number of the systems consisting only of two atoms. We might have systems of four atoms, but the number would be small compared with the number of systems that consist of three atoms.”

“Now, suppose that an atom of one element is to combine with an atom of another. Suppose, to fix our ideas, that the atom consisting of two vortex rings linked together, is to combine with an atom consisting of one vortex ring; then, since, for the stability of connection, the strength of all the primaries which form the components of the compound must be equal, the atom consisting of two links must unite with molecules containing two atoms of the one with one link. Thus the compound formed will be the simplest combination, consisting of one of the atoms which consist of two vortex rings linked together with two of the atoms consisting of only one vortex ring. Similarly, if an atom consisting of three vortex rings linked together were to combine directly with atoms consisting of only one vortex ring, the compound formed would consist of the three linked atoms with three of the others, and so on for all the combinations of atoms formed by any number of vortex rings linked together. This suggests that the elements, called by the chemists monads, dyads, triads and so on, consist of one, two, etc. vortex rings linked together, for then we should know that a dyad could not combine with less than two atoms of a monad to form a stable compound, or a triad with less than three, and so on, which is just the definition of the terms monad, dyad, triad.”

“On looking at chemical combination from this point, we expect to find that such compounds as Hydrochloric acid, where one atom of Hydrogen has only to meet one atom of Chlorine; or water, where one atom of Oxygen has only to meet two atoms or a molecule of Hydrogen, would be much more easily and quickly formed than a compound such as ammonia gas, to form which an atom of Nitrogen has to find itself close to three atoms of Hydrogen at once.”

“It is the case, I believe, in direct combination, that simple compounds are formed more quickly than compound ones. We might call the ratio of the number of links in the atom of any element, to the number in the atom of Hydrogen, the Valency of the element. Thus the compounds H-CL, H-I, H-F, show that the atoms of Chlorine, Iodine, Fluorine have the same number of links as the atom of Hydrogen, so that the valency of each of these elements is unity. From the compound H2O we infer that the atom of Oxygen consists of twice as many links as the atom of Hydrogen. The compound H2S indicates that the atoms of Sulphur have twice as many links as the atom of Hydrogen.”

“The molecules CO2 and Marsh Gas have each three primaries represented by C-O-O and C-H-H respectively. According to the view we have taken, atomicity corresponds to complexity of atomic arrangement, and the elements of high atomicity consist of more vortex rings than those whose atomicity is low.”

“Thus high atomicity corresponds to complicated atomic arrangement, and we should expect to find the spectra of bodies of low atomicity much simpler than those of high. This seems to be the case, for we find that the spectra of Sodium, Potassium, Lithium, Hydrogen, Chlorine, which are all monad elements, consist of comparatively few lines.”

Here then, on the vortex theory of matter, especially when that vortex theory is given an electric basis, as is the case in Dr. Larmor's electron theory, we have a thinkable and logical explanation of the physical and chemical properties of matter, by which all elements and compounds may be formed from the primordial aetherial or electric atom. As all Nature is composed of about seventy elements, and it has been conclusively demonstrated that an atom of Hydrogen is the same all over the universe, no matter whether it exists on this planet, or in some distant star or nebula, we arrive at the conclusion that all the other elements are exactly the same in their properties and qualities wherever they are found. If, therefore, we couple Faraday's experiments and results as to the electro-chemical equivalents of all atoms, with this theory of Professor J. J. Thomson's, then we are again compelled to come to the conclusion that the unity of the universe in all its universality, and infinite variety of forms and modes of matter, is to be found, and alone found, in the universal Aether, which is co-existent and coextensive with electricity.

Art. 126. Quod Erat Faciendum.--Before concluding this work let us briefly review the whole of the theory submitted herein to the reader.

That which was to be done consisted primarily in ascertaining the physical cause of Gravitation, by which would be accounted for on a philosophical basis all the phenomena incidental to and associated with the Law of Gravitation. Such phenomena included the physical cause of the Centripetal and Centrifugal Forces, the physical cause of Kepler's Laws, together with a physical conception of the application of Newton's Laws of Motion to all solar and stellar bodies. In addition to this, there were other outstanding problems in physics that it was premised would receive either a partial or an entire physical explanation. It was premised, for example, that the problem of the relative motion of Aether and matter would be solved, that the cause of the permanent magnetism of the earth would be revealed, and the great problem of the constitution of matter attacked, together with the unity of the universe which arose from that conception.

In order, however, for any theory to be philosophical in its initial stages, the rules of some of the greatest philosophers which govern the making of any hypotheses were briefly outlined, and were found to resolve themselves into three divisions.