A common soil

A common soil

Maxwell's electromagnetic fields and Blake's “Vision of Christ”

Originally published 24 July 1989

After the pub­li­ca­tion in 1959 of C. P. Snow’s The Two Cul­tures, it became fash­ion­able to look for ways in which sci­ence and the human­i­ties are inter­re­lat­ed. Usu­al­ly this took the form of, ah, say, root­ing out ref­er­ences to Renais­sance astron­o­my in the poems of John Donne or to the Sec­ond Law of Ther­mo­dy­nam­ics in the nov­els of Thomas Pynchon.

All such bor­row­ings, it seems to me, are super­fi­cial. If John Updike writes delight­ful verse on such themes as neu­tri­nos and plan­ets, we can con­clude that Updike is sci­en­tif­i­cal­ly lit­er­ate, but not that sci­ence and art are fun­da­men­tal­ly relat­ed. At the lev­el of artis­tic and sci­en­tif­ic expres­sion, the chasm between the two cul­tures is as wide as ever. If there is a uni­ty at some deep­er lev­el, it will take an arche­ol­o­gist to reveal it.

Yet if we dig deep enough, we will dis­cov­er that the roots of sci­ence and art draw upon the same nutri­ents in the soil. Some of those nutri­ents are undoubt­ed­ly sup­plied by the genes; oth­ers are the prod­ucts of cul­ture. The imag­i­na­tion, sci­en­tif­ic or artis­tic, feeds on what it finds.

Maxwell and Blake

Pic­tured above is a 19th-cen­tu­ry exam­ple of the deep uni­ty of sci­ence and art, drawn from the elec­tro­mag­net­ic field the­o­ry of James Clerk Maxwell and the art of William Blake. At first glance, the two would seem to have noth­ing in com­mon. Blake railed against the sci­ence of his time, and Maxwell is hard­ly not­ed as a con­nois­seur of art.

Maxwell’s great work, the Trea­tise On Elec­tric­i­ty and Mag­net­ism, pub­lished in 1873, gave math­e­mat­i­cal expres­sion to the exper­i­men­tal research of Michael Fara­day and unit­ed in one beau­ti­ful math­e­mat­i­cal the­o­ry every­thing that was known about elec­tric­i­ty, mag­net­ism and light.

Chief among the ideas Maxwell took from Fara­day is the “field,” a kind of ten­sion­ing of space caused by elec­tric­i­ty. In Fara­day’s bril­liant intu­ition, the space around charged objects was resilient with pos­si­bil­i­ty, like a stretched rub­ber sheet. This vibran­cy of space was the field. You can’t see it, weigh it or touch it, but you can describe it math­e­mat­i­cal­ly and even draw pic­tures of it.

Includ­ed in Maxwell’s Trea­tise are draw­ings of fields around charged objects. When I first looked at these draw­ings, I had the uncan­ny feel­ing that I had seen them before, a sense of deja vu. And then I remem­bered: William Blake’s Book of Job.

I fetched Blake’s Job and was sur­prised to find that many of Maxwell’s field draw­ings matched, in vibran­cy and form, one or anoth­er of Blake’s engravings.

Roots twisted together?

What does one make of this? Coin­ci­dence? A fluke of form, like find­ing a face in the clouds? Or is it pos­si­ble that dig­ging down one might dis­cov­er that Maxwell’s elec­tro­mag­net­ic fields and Blake’s pow­er­ful bib­li­cal images have roots that twist togeth­er? Could an arche­ol­o­gist of ideas exca­vate lay­ers of acci­dent and find the under­ly­ing unity?

Fara­day invent­ed the field while exper­i­ment­ing with wires, mag­nets and bat­ter­ies dur­ing the very years when, in anoth­er part of Lon­don, Blake was engrav­ing illus­tra­tions for Job. Fara­day sprin­kled iron fil­ings near mag­nets and thought he saw in the swirling pat­terns of the iron grains an ener­gy inher­ent in space itself. For the rest of his life, the prob­lem of how force was trans­mit­ted between bod­ies of mat­ter, and even through emp­ty space, was his chief preoccupation.

Blake, too, was pos­sessed by ener­gy, force and motion. He tried des­per­ate­ly to give expres­sion in his art to the invis­i­ble ener­gy that sur­rounds bod­ies and is insep­a­ra­ble from them. Blake shared with Fara­day a pas­sion to try all exper­i­ments. The lan­guage of Fara­day’s physics — spa­tial ener­gy, lines of force, attrac­tion and repul­sion of con­traries, sym­me­try and the break­ing of sym­me­try — apply with equal apt­ness to Blake’s art.

An arche­ol­o­gist of ideas would trace the roots of Maxwell’s field draw­ings back through Fara­day to Fara­day’s men­tor Humphry Davy to Davy’s friend Samuel Tay­lor Coleridge (and the idea of the uni­verse as a “cos­mic web”) to… Some­where in the sub­ter­ranean pas­sages of Europe’s psy­che, from which sprang Rev­o­lu­tion and Roman­ti­cism, some­where in the murky sub­con­scious­ness of the race, an arche­ol­o­gist fol­low­ing the thread of Maxwell’s thought would encounter Blake’s Tyger, burn­ing bright in the for­est of the night, phys­i­cal force poised to spring, fear­ful­ly symmetric.

And sure­ly one could do the same thing for the art and sci­ence of today. C.P Snow’s two cul­tures seem divid­ed by a chasm only because our vision is hor­i­zon­tal. Some­where deep in the inter­leaved stra­ta of genes and cul­ture, they come togeth­er, in a web of invis­i­ble cap­il­lar­ies feed­ing upon a com­mon soil. Art and sci­ence are two fruits of the same tree.

Share this Musing: