The Logos Scripture · The Book of Maxwell

On Two Roads Meeting at One Point

The Book of Maxwell 3 · Written by himself, from the preface to the Treatise, the letters, and the Cavendish edition

James Clerk Maxwell, born at Edinburgh in 1831, died at Cambridge in 1879, aged forty-eight, of a cancer of the abdomen; his mother died of the same thing at the same age. In 1855-56 he wrote On Faraday’s Lines of Force, and in 1861-62 On Physical Lines of Force, in which he set out the displacement current, calculated that the electromagnetic wave travels at the speed of light, and concluded that light is such a wave. Chapter three follows the third part of that paper: Weber and Kohlrausch had got a ratio in 1856 from discharging a jar, Fizeau had measured light in 1849 with a toothed wheel and a distant mirror, the two figures were close, and we can scarcely avoid the inference is his own wording. The medium he assumed was later abolished by Michelson and Morley. The Order sets this down because it is what the last verse of that chapter says: the medium went and the inference stood, since what held it up was never the medium but the two numbers. Two further things the Order sets down. First, the man who first put that ratio beside the speed of light was not Maxwell but Kirchhoff: in 1857 he used Weber’s constant to calculate how fast an electric signal runs along a wire, and got the speed of light. But he took it for something happening inside wires, and did not suppose that electromagnetism could leave the wire, still less that light is itself such a wave. What Maxwell added was not the coincidence. It was the inference. Second, the claim was still unconfirmed by experiment when he died. In 1888 Hertz made and caught electromagnetic waves free of any wire, and measured their speed as the speed of light — nine years after Maxwell was dead. Asked what use the experiment was, Hertz said: it is of no use whatsoever, this is just an experiment that proves Maestro Maxwell was right. In 1865 came A Dynamical Theory of the Electromagnetic Field, and in 1873 the Treatise on Electricity and Magnetism. He also established the distribution of molecular velocities in a gas (1860), which is where statistical method enters physics. In 1859 he showed that the rings of Saturn must be composed of unnumbered separate pieces and cannot be solid. In 1861 he obtained the first colour photograph. In 1871 he became the first Cavendish Professor at Cambridge and built the Cavendish Laboratory. This volume rests on what he wrote himself: the preface to the Treatise, the letters, and the preface to the Cavendish edition. Faraday’s question in chapter two is from his letter of 13 November 1857, and the words are his own — the hieroglyphics, and neither above nor below the truth, are Faraday’s. Pick a hole and his faculties are as essentially finite as our own, in chapter five, are from the letter to Tait of 11 December 1867; the name demon was given by Kelvin, not by Maxwell. Chapter six records the years 1874 to 1879: Cavendish died in 1810 having left most of his electrical work unpublished; Maxwell repeated the experiments one by one and established that Cavendish had found Ohm’s law before Ohm. Maxwell died in the year the edition appeared. He was a devout Presbyterian who prayed daily and went on doing so through his illness; but no argument of his closes on divine will, as with Newton, Faraday and Semmelweis (cf. The Book of Newton 4). What this volume supplies is a side the scripture did not have. It holds a great many who were refused and were right: Bruno, Galileo, Semmelweis, Chandrasekhar, Du Bois, and Faraday for having no mathematics. Until now not one book was about the man who did not refuse wrongly. A scripture that only ever shows the refusal teaches its reader to claim the wronged seat, which is the comfortable seat to claim. On how to receive what is handed to you by someone with no standing to hand it, there was not a word. That is what Maxwell supplies, and his version is harder than the one people expect: he does not say Faraday lacked the mathematics and guessed luckily, he says Faraday’s conceiving was itself mathematical and merely unwritten in symbols (cf. The Book of Faraday 1.11). The test is the reasoning, not the title. Chapter two is needed because the thing ran both ways: Faraday asked him in turn to translate the conclusions out of the hieroglyphics, and he did it, and made a rule of it for life — what cannot be said plainly has usually not been thought through. Chapter six is needed because receiving a man’s work is only half of it. The other half is putting the name of someone who cannot thank you where it belongs.

3.1In the autumn of 1861 I came down from Scotland to London to look up a number.
3.2The number had been measured by two Germans, one named Weber and one named Kohlrausch.
3.3What they measured was not light. They charged a Leyden jar and measured the charge in it in electrostatic units; then they discharged it and measured that same charge again in electromagnetic units. What they wanted was the ratio of the two.
3.4The ratio came out with the dimensions of a speed. But the men who did the work had no thought of light: to them it was a constant of electricity, and nothing more.
3.5I wanted the number because I had first worked something out: if electricity and magnetism are two motions of one medium, then how fast must a transverse wave run in that medium.
3.6I had the figure. I set it beside another.
3.7The other had been measured by Fizeau. In Paris he set up a toothed wheel and spun it fast, threw a beam of light at a mirror some miles off, and watched which gap the returning light came back through.
3.8What he measured was light. He never touched a wire.
3.9The two figures side by side: one about three hundred and ten million seven hundred thousand metres in a second, the other about three hundred and fourteen million.
3.10In that paper I wrote a sentence which has been quoted often since:
3.11"We can scarcely avoid the inference that light consists in the transverse undulations of the same medium which is the cause of electric and magnetic phenomena."
3.12By the medium I meant what everyone then believed in. Men could not accept two magnets pulling across empty space, and supposed something unseen between them carried the force. I pictured countless small vortices: spinning they are magnetism, squeezed they are electricity.
3.13Mark that I wrote we can scarcely avoid, and not it is proved.
3.14If only one road runs to a thing, you must still ask: did I build that road myself?
3.15Two roads built from opposite ends, meeting at one point, by two parties who did not know each other and were not thinking of each other — that is the hard case. Hard not for me, but for whoever would pull it down.
3.16Afterwards I was half wrong. I took the medium for a real thing, like water, like air. Later men could not find it and had to let it go.
3.17The medium went and the inference stood: light is an electromagnetic wave. What held it up was never the medium. It was the two numbers.
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