Nature illustrates its law and chaos

Nature illustrates its law and chaos

The Kununurra region of Western Australia, where zebra rock is found • Photo by Reise-Line (CC BY-SA 3.0)

Originally published 3 December 2002

My daugh­ter, a geol­o­gist, gave me zebra stones for my birthday.

As I opened the pack­age, I thought I had been giv­en beau­ti­ful­ly dec­o­rat­ed ceram­ic tiles. The thin flat stones had all the qual­i­ties of human cre­ativ­i­ty — a zebra-stripe pat­tern in col­ors of choco­late and sand, rich in vari­a­tion yet pleas­ing­ly rhyth­mi­cal. Each of my three stones is dif­fer­ent, but I did not doubt that they came from the same artis­tic hand.

My daugh­ter set me straight. The “tiles” were sawn from nat­ur­al stone quar­ried in the Kununur­ra dis­trict of West­ern Aus­tralia, then pol­ished to a high gloss. They con­sist of fine-grained silt­stone or clay­stone, 600 mil­lion years old, that has not been found in any oth­er part of the world.

Geol­o­gists are not agreed on the ori­gin of the zebra stripes. The choco­late bands are col­ored by iron oxide, and the lighter back­ground is the col­or of typ­i­cal silt. Per­haps lay­ers of dif­fer­ent­ly col­ored mud were deposit­ed in a zebra pat­tern as we find them, under the influ­ence of wind or water. Per­haps flu­id sed­i­ments slumped and inter­leaved pri­or to solid­i­fi­ca­tion. Or per­haps water seep­ing through the deposits selec­tive­ly leeched out the iron oxides.

Per­haps we’ll nev­er know how nature made zebra stone, which is just as well, since it is the mys­tery of the stone’s appar­ent­ly gra­tu­itous beau­ty that makes it so interesting.

When the silts were deposit­ed, Aus­tralia was locat­ed some­where north of the Earth­’s equa­tor, part of a super­con­ti­nent known as Gond­wana. The only life on Earth then was micro­scop­ic and uni­cel­lu­lar. The land was bare of any green, and although it is not incon­ceiv­able that microor­gan­isms played some role in col­or­ing or leech­ing the deposits, it seems far more like­ly that nature used for her art no oth­er instru­ments than law and chaos.

Law is built into the uni­verse from the first moment of its cre­ation, as propen­si­ties of mat­ter and ener­gy to behave in cer­tain order­ly ways. The laws of nature are sought by physi­cists, and every­thing we have learned sug­gests that the laws are the same through­out the uni­verse. Why such laws should exist, and why they should be dis­cov­er­able by the human mind, are great mysteries.

But nature is not rigid­ly pre­dictable; if it were, it would be a bor­ing uni­verse indeed. All events may be law­ful at some fun­da­men­tal lev­el, but in prac­tice the webs of causal­i­ty that shape the world are so mul­ti­tudi­nous and tan­gled that it is impos­si­ble to pre­dict the detailed out­come of any com­plex event. Chaos is a con­se­quence of complexity.

It might also be true, as many quan­tum physi­cists believe, that unpre­dictabil­i­ty is built into the very fab­ric of cre­ation, tem­per­ing law­ful­ness with uncertainty.

Every­where we look in nature, we see both law­ful pat­tern and chaot­ic vari­a­tion — in the iri­des­cent col­ors of but­ter­flies, in the lap­idary nuance of the backs of bee­tles, in the crys­talline diver­si­ty of gemstones.

And in the stripes of zebra stone.

The geol­o­gist one day may find a sat­is­fac­to­ry expla­na­tion for the zebra pat­tern; it is less like­ly that we will under­stand why the human mind finds the stones beau­ti­ful. All we can say is that we per­ceive beau­ty in a bal­ance of order and dis­or­der — as in the themes and vari­a­tions of a Bach fugue, the off-kil­ter sym­me­try of Michelan­gelo’s David, or the repet­i­tive but vari­able pat­tern of the zebra stones — per­haps because the human mind is itself a prod­uct of law and chaos.

It is intrigu­ing that the sin­u­ous inter­fold­ed pat­terns of my zebra stones bear a super­fi­cial resem­blance to the ancient Chi­nese sym­bol of yin and yang. Law and chaos are the two cre­ative prin­ci­ples of nature. No uni­verse is pos­si­ble with­out a gen­er­a­tive fric­tion between life and death, noise and silence, rigid­i­ty and flu­id­i­ty, rep­e­ti­tion and dis­rup­tion, fire and ice.

In one of his essays, “The Col­loid and the Crys­tal,” nature writer Joseph Wood Krutch wrote about these oppos­ing forces in nature. “Order and obe­di­ence are the pri­ma­ry char­ac­ter­is­tics of that which is not alive,” he wrote. “Life is rebel­lious and anarchical.”

He was wrong to iden­ti­fy obe­di­ence and rebel­lion with non-life and life respec­tive­ly. We now know, for exam­ple, that the inan­i­mate six-point­ed snowflake, so appar­ent­ly law­ful and sta­t­ic, is aquiver with mol­e­c­u­lar vibra­tions, and that del­i­cate insta­bil­i­ties of these vibra­tions give snowflakes their infi­nite­ly vari­able forms. And life, we now under­stand, would not be pos­si­ble unless nature had con­trived elab­o­rate mol­e­c­u­lar machin­ery to detect and repair any rebel­lious devi­a­tion of an organ­is­m’s genet­ic code.

The inan­i­mate and the ani­mate are equal­ly prod­ucts of law and chaos.

Still, Krutch was right when he said that “the ulti­mate All is not one thing but two.” And that’s why I’ll keep my zebra stones close to hand. They are pleas­ing to look at; they are also vivid reminders of nature’s two-hand­ed prin­ci­ple of creativity.

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