Watch the twist
To William Thomson, at Glasgow
The Cavendish torsion balance has sat under its glass cover since Tuesday, and I have been running the same experiment on the electrostatic unit that I ran in the spring: charge two brass spheres, suspend the smaller on the wire, and watch the twist. The numbers come out consistent to within a quarter of a percent. That is the thing I can show you - a deflection of the wire, a spot of light on the scale, a ratio between two forces that holds whether I use the large jar or the small one.
What I cannot show you is why the ratio holds. I can write the law down, and the law predicts the deflection, and the deflection appears. But the law is not the mechanism. Between the written equation and the observed twist there is a gap I have not crossed, and I am beginning to suspect the gap is not a failure of the theory but a property of the kind of thing a theory is.
Consider the field. When I move the charged sphere, the disturbance does not appear instantly at the other sphere. It propagates. I have estimated the speed from the ratio of the electrostatic to the electromagnetic unit and get something close to the velocity of light. If that is right, then the force between the spheres is not action at a distance at all; it is a condition of the medium, established at one place and communicated to the other at a finite rate. The law I wrote down describes the communication. It does not describe the medium. And yet the medium is what is doing the work.
This is the distinction that troubles me. Knowing the equation of propagation is not the same as showing the propagation. I can demonstrate the deflection. I cannot demonstrate the ether. Every experiment I devise measures the effect, never the substance. The demon at the partition sorts molecules he never sees; he knows only their speeds as they arrive. His ledger records the sorting, not the molecules. My equations are that ledger.
I will next try the null experiment with the two coils at different separations, to see whether the propagation speed depends on the distance or only on the medium. If it depends only on the medium, then the medium is real in the only sense I can test.