Page:The Foundations of Science (1913).djvu/531

From Wikisource
Jump to navigation Jump to search
This page has been proofread, but needs to be validated.
THE NEW MECHANICS AND ASTRONOMY
513

two positive A and A', and two negative B and B', the charges of these four being the same in absolute value, the repulsion of A for A' will be, at the same distance, equal to the repulsion of B for B'and equal also to the attraction of A for B', or of A' for B. If therefore A and B are very near each other, as also A'and B', and we examine the action of the system A + B upon the system A'+ B', we shall have two repulsions and two attractions which will exactly compensate each other and the resulting action will be null.

Now, material molecules should just be regarded as species of solar systems where circulate the electrons, some positive, some negative, and in such a way that the algebraic sum of all the charges is null. A material molecule is therefore wholly analogous to the system A + B of which we have spoken, so that the total electric action of two molecules one upon the other should be null.

But experiment shows us that these molecules attract each other in consequence of Newtonian gravitation; and then we may make two hypotheses: we may suppose gravitation has no relation to the electrostatic attractions, that it is due to a cause entirely different, and is simply something additional; or else we may suppose the attractions are not proportional to the charges and that the attraction exercised by a charge +1 upon a charge —1 is greater than the mutual repulsion of two +1 charges, or two —1 charges.

In other words, the electric field produced by the positive electrons and that which the negative electrons produce might be superposed and yet remain distinct. The positive electrons would be more sensitive to the field produced by the negative electrons than to the field produced by the positive electrons; the contrary would be the case for the negative electrons. It is clear that this hypothesis somewhat complicates electrostatics, but that it brings back into it gravitation. This was, in sum, Franklin’s hypothesis.

What happens now if the electrons are in motion? The positive electrons will cause a perturbation in the ether and produce there an electric and a magnetic field. The same will be the case for the negative electrons. The electrons, positive as