Making some sense of cosmic complexity

Making some sense of cosmic complexity

Cedar waxwing • Photo by Patrice Bouchard on Unsplash

Originally published 19 December 2000

It was one of those unex­pect­ed encoun­ters that bright­en a day: a leaf­less win­ter­ber­ry tree cov­ered with cedar waxwings busi­ly gob­bling the scar­let fruit.

These ele­gant birds, with their tuft­ed crests, flecks of red, and yel­low tail-bands, can appear seem­ing­ly from nowhere and van­ish almost as quick­ly. I count­ed myself lucky to see them, and stood for a long time watch­ing their live­ly feeding.

I had just fin­ished read­ing Eric Chais­son’s Cos­mic Evo­lu­tion: The Rise of Com­plex­i­ty in Nature, soon to be pub­lished by Har­vard Uni­ver­si­ty Press. Where, along the curve of cos­mic evo­lu­tion, I won­dered, lay this par­tic­u­lar vignette of win­ter­ber­ries, waxwings, and human observ­er. In the uni­verse of the galax­ies, does the lev­el of com­plex­i­ty we encounter here on Earth stand high, low, or some­where in between? And does it matter?

Chais­son is an astro­physi­cist at Tufts Uni­ver­si­ty, who has writ­ten many pop­u­lar books on sci­ence. His newest offer­ing is con­cerned with “time’s arrow,” a curve of ris­ing cos­mic com­plex­i­ty begin­ning with the Big Bang and reach­ing — well, inso­far as we know and for the time being, a brain that can appre­ci­ate the beau­ty of feed­ing waxwings.

Chais­son argues that ris­ing com­plex­i­ty can be explained (or at least rough­ly described) by the laws of non-equi­lib­ri­um ther­mo­dy­nam­ics, with­out any need to pos­tu­late new kinds of sci­ence or mys­ti­cism. He shows that in an expand­ing uni­verse, local pock­ets of order will nat­u­ral­ly arise even as the over­all dis­or­der (entropy) of the uni­verse increases.

There is noth­ing new in any of this; sci­en­tists have long assumed that a growth of local com­plex­i­ty is entire­ly con­sis­tent with the laws of ther­mo­dy­nam­ics. What is most orig­i­nal about Chais­son’s argu­ment is his pro­pos­al of a quan­ti­ta­tive way to mea­sure com­plex­i­ty, and to plot the course of cos­mic evo­lu­tion using this measure.

He invokes some­thing called free ener­gy rate den­si­ty, a con­cen­tra­tion of ener­gy with respect to time and mass, and cal­cu­lates val­ues of free ener­gy rate den­si­ty for every­thing from stars to microchips. A graph of these val­ues ver­sus time reveals a ris­ing curve that Chais­son takes to be the sig­na­ture of cos­mic evolution.

For exam­ple, there is much more ener­gy flow­ing through a star than is involved in a wor­m’s metab­o­lism. But the con­cen­tra­tion of ener­gy in time and mass is numer­i­cal­ly greater for the worm (rough­ly 10,000 ergs per sec­ond per gram for a worm, ver­sus 2 ergs per sec­ond per gram for the Sun).

As the uni­verse evolves, accord­ing to Chais­son, the val­ues of free ener­gy rate den­si­ty increase in local places: galax­ies, stars, plan­ets, plants, ani­mals, brains, soci­eties. With­in each of these broad cat­e­gories, he cal­cu­lates more spe­cif­ic val­ues of free ener­gy rate den­si­ty, as for exam­ple with­in human soci­ety: hunter-gath­er­ing, con­trolled use of fire, agri­cul­ture, indus­tri­al­iza­tion. The curve ris­es as time passes.

What does all of this mean? That’s hard to say, but Chais­son’s graph of time’s arrow is cer­tain­ly provoca­tive. If noth­ing else it con­firms in a nice­ly quan­ti­ta­tive way our intu­ition that the uni­verse does indeed breed com­plex­i­ty, and appar­ent­ly in ways that can be use­ful­ly described with the lan­guage of mod­ern physics.

If we accept Chais­son’s analy­sis, at least ten­ta­tive­ly, then cer­tain con­clu­sions fol­low. First, we are almost cer­tain­ly not unique in the uni­verse, because there is noth­ing in his account of cos­mic evo­lu­tion that evokes the spe­cif­ic unique­ness of Earth. And sec­ond, we are not the end of the line either; the curve will con­tin­ue to rise, and nov­el­ty will ensue.

In fact, a glim­mer of the future might already be vis­i­ble. Present­ly, in our neigh­bor­hood of the cos­mos, the top of Chais­son’s curve of cos­mic evo­lu­tion is occu­pied by — get this — the Pen­tium microchip (and its equiv­a­lents), with a free ener­gy rate den­si­ty of some­thing over 10 bil­lion ergs per sec­ond per gram. This exceeds even the human brain because microchips per­form their oper­a­tions so much faster than do webs of organ­ic neurons.

Micro­proces­sor com­put­er chips are not as sen­tient as human brains, but they are more com­plex, by Chais­son’s def­i­n­i­tion, and rep­re­sent a fur­ther step in cos­mic evo­lu­tion by his stan­dard. So does the imme­di­ate future of com­plex­i­ty on this plan­et lie in dense webs of sil­i­con tran­sis­tors? Are humans mere­ly instru­ments in bring­ing about the next step in cos­mic evo­lu­tion? Are there oth­er forms of com­plex­i­ty out there among the galax­ies with free ener­gy rate den­si­ties in the tril­lions? Time will tell, although I would not be sur­prised if the answer to all of these ques­tions is yes.

And in the mean­time, the answers don’t at all affect how I live my life. Chais­son can assign a val­ue of free ener­gy rate den­si­ty to win­ter­ber­ries, waxwings, and human brains, but the skit­ter­ing feast of the crest­ed birds on a frosty morn of ear­ly win­ter bowls me over with its beau­ty — exhil­a­rat­ing, uplift­ing, and, for all prac­ti­cal pur­pos­es, inexplicable.

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