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53 pages 1 hour read

James Gleick

Chaos: Making a New Science

Nonfiction | Book | Adult | Published in 1987

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Chapter 9-AfterwordChapter Summaries & Analyses

Chapter 9 Summary: “The Dynamical Systems Collective”

The Dynamical Systems Collective, sometimes called the Chaos Cabal, consisted of a group of physicists at the University of California, Santa Cruz—Robert Shaw, J. Doyne Farmer, Norman Packard, and James Crutchfield—who became pioneers in the field of chaos science. They were interested in this emerging field that was neither purely mathematics nor standard physics. Questions arose as to whether this new field was really science. Neither doctorates nor specific jobs were available in the field. Still, the idea that randomness could exist within deterministic systems, and vice versa, attracted them. Farmer suggested that the field might propose answers to philosophical questions as well.

To turn these various ideas about chaos into an academic program, they decided to investigate the possibility of whether unpredictability itself could be measured. By employing the Lyapunov exponent, an imported Russian idea that calculates the impacts of “stretching, contracting and folding in the phase space of an attractor” (253). They discovered that both randomness and stability could be identified and measured. This discovery led to the subfield of “information theory,” which, despite the name, describes “neither knowledge nor meaning” but rather what can be transmitted accurately across systems (255). This way of examining information looked at the random noise within such transmissions as much as the decipherable bits. The process allowed for an understanding of redundancy, wherein missing bits of information do not necessarily impede the understanding of the whole. Just as one can readily understand a phrase with several missing letters, like “if u cn rd ths msg” (256), one can easily understand a transmission that may be missing bits. In fact, such a message paradoxically contains more information.

This understanding had implications for entropy, the notion that all systems inevitably reach greater levels of disorder. In information theory, strange attractors create entropy, paradoxically increasing the amount of information. This research reached a simple yet profound conclusion: Chaos and information are inextricably linked. This involves both the butterfly effect, wherein minute changes can impact large systems, and the notion of scaling, wherein macroscales and microscales communicate with one another. Thus, information theory suggests that information is both unpredictable (chaos) and “the spontaneous generation of pattern in the world” (261). Again, these scientists revealed order within apparent disorder. Shaw implemented the dripping faucet test to apply this idea to physical processes and revealed that this fundamental belief of chaos science—that order exists within disorder—could be replicated in physical experiments. Nature returns to particular patterns, regardless of the dynamic system.

Despite the success of the group’s conjectures and experiments, it dissolved within a few years. At that time, scientific papers were published with one primary author, not a group of people, and interdisciplinary studies were not well established. Nevertheless, their work paved the way for chaos to become a legitimate academic branch of scientific study.

Chapter 10 Summary: “Inner Rhythms”

By 1986, chaos had become established enough to warrant its own academic conference in biology and medicine. Academic circles began to reflect the interdisciplinarity that defined the science. While one of the main papers at the first conference was ostensibly focused on erratic eye movements in schizophrenia patients, the scientist behind it, Bernardo Huberman, revealed that his model was holistic—that is, it could be applied “to anything” (277). This was counter to conventional understanding at the time and thus quite controversial. After all, physicians and psychiatrists study closely the myriad parts of many systems; to suggest universality behind these workings gives rise to resentment or astonishment. The idea that systems within the complex inner workings of the human brain and body could follow universal patterns was disconcerting.

Still, chaos science brings a different understanding to biology. Primarily, it looks at the body “as a place of motion and oscillation” (280) rather than existing in a stable state. The human heart is constantly in motion, with fractals of veins and vessels branching throughout the body, interconnected and interdependent. In fact, stasis in the human body means death—cardiac arrest stops the heart’s motion, for example. These new ideas opened up new possibilities for examining the body more holistically, like investigating heart problems globally rather than looking for specific and local causes. Cardiologists might use the mathematics of chaos theory to better understand how the body worked. Counterintuitively, a field of “theoretical biology” might arise to explain—and even cure—the many ways in which these dynamic systems can go awry.

In this new understanding, stability becomes less significant than flexibility and robustness, or how the body can absorb various changes within a wide range of circumstances. Within the human body, even molecules should be understood as dynamic systems, always in motion rather than in stasis. For example, psychiatrist Arnold Mandell saw potential in this way of looking at human biology to improve treatments of various psychiatric diseases. Likewise, this novel view inspired new research into the field of artificial intelligence. Chaos provided the tools to understand how motion and even randomness are crucial to the proper function of human biology.

Chapter 11 Summary: “Chaos and Beyond”

As the author sums up the contributions of chaos to various scientific fields, he notes that chaos science has fundamentally altered some basic assumptions about how the world works—for example, that simple systems manifest simple behavior or that complex reasons exist for complex systems. Chaos offered a way in which scientists could study systems more holistically, across disciplines and using new technologies. These scientists investigated difficult problems from very different perspectives, even if the name chaos itself still inspires controversy. Chaos is not, as a colloquial understanding holds, confusion or anarchy; rather, it describes the infinite possibilities expressed within natural systems, the existence of order within disorder, and the patterns within randomness.

Chaos calls into question one of the most basic truisms within science: that the universe trends toward entropy. According to chaos science, although the Second Law of Thermodynamics is not necessarily wrong, the definition of entropy, or disorder, should expand to include the proven theories that within randomness order exists and that randomness itself can be measured. The butterfly effect, one of the first breakthroughs within this emerging science, ultimately reveals the power of nature to create, not obliterate, within certain preferred patterns. As one scientist suggests, in response to Einstein’s famous quote (“God does not play dice with the universe.”), “God plays dice with the universe […]. But they’re loaded dice” (314). The science of chaos ultimately contributes to “the collective enterprise of science,” moving it “forward” (315), according to the author. Once a new perspective is uncovered, it becomes hard to look through the old lens when making assessments.

Afterword Summary

For the 25th anniversary of the publication of Chaos, the author provided an Afterword. In it, he discusses how the new science of chaos, emerging throughout the 1960s, 70s, and 80s, has now become a popular cultural phenomenon. It received mention in Steven Spielberg’s blockbuster film Jurassic Park (1993) and Tom Stoppard’s play Arcadia (1993), and it even spawned the movies Chaos (2005), which references Gleick’s book, and The Butterfly Effect (2004). Despite this popularity, the field itself has become an established science, and interdisciplinary exchanges of ideas have become much more common.

In addition, Gleick notes that chaos science is not independent from quantum mechanics or other fields of physics, as initially assumed. Chaos exists within relativity too. Although the author continues to favor the broad definition of chaos—loosely speaking, that infinite possibilities exist within dynamic systems—it has become an increasingly specialized field. He also emphasizes that one of chaos’s most significant discoveries, its inextricable connection to the production of information, continues to yield new insights.

Chapter 9-Afterword Analysis

These last chapters analyze the coalescing of all these theories and disciplines into the new science of chaos. The “Chaos Cabal” paved the way for the establishment of a new academic field of study with its own scientific foundations and, eventually, its own standards. When the group began working, however, “[t]here were no classes in chaos, no centers for nonlinear studies and complex systems research, no chaos textbooks, nor even a chaos journal” (244). Thus, with this book, the author tracks the birth of a new discipline. In addition, he points out that the odds were stacked even higher than usual against this emerging field, as profound questions about its soundness persisted: “Was this science? It certainly was not mathematics, this computer work with no formalisms or proofs […]. The physics faculty saw no reason to think it was physics, either” (247). Chaos was truly groundbreaking and original, as the theme of Chaos: The Science of Subversion suggests. While its science was called into question, chaos likewise cast doubts on much of conventional scientific understanding.

The interdisciplinary tendencies of chaos science were part of the reason that it seemed so radical at the time. These tendencies sometimes hampered its development as an emerging field: “They [the Chaos Cabal] were hindered by the tendency of communication to travel piecemeal in science, particularly when a new subject jumps across the established subdisciplines” (252). However, this approach was also a hallmark of the new science: Working across disciplines is embedded at its very core, enmeshed in its quest to find universality in systems across fields, from ecology to physics to biology and beyond. The success of the Chaos Cabal’s discoveries was ultimately undermined by their need to publish their results in established journals. In order to be accepted, chaos had to acquiesce to the rules and regulations of the standard marketplace of ideas.

Another indication of both chaos science’s potential reach and its distinctiveness is that many of its practitioners saw within it not only possibilities for scientific understanding but also the potential for philosophical enlightenment. As Doyne Farmer, one of the Cabal’s members, claimed, “On a philosophical level, it [chaos] struck me as an operational way to define free will, in a way that allowed you to reconcile free will with determinism” (251). Thus, chaos also provides provisional answers to the problem of choice versus destiny: Chaos reveals that nature favors systems with underlying degrees of order—and therefore something within nature appears preordained—but this order is embedded within randomness and unpredictability. As in quantum mechanics, chaos appears to show that the possibilities are infinite—until an actor or observer chooses one particular direction. The strange attractor keeps the system in check.

In addition, the author addresses the development of information theory and its contributions to chaos. Contrary to conventional definitions, in this context, “information” does not indicate “the usual connotations of facts, learning, wisdom, understanding, enlightenment” (255). Information is simply bits transmitted across networks, and messages with more noise convey more information, in another paradox: “The more random a data stream, the more information would be conveyed by each new bit” (257). Thus, chaos contains both randomness and patterns of order, supporting the themes of Interconnectedness and Universality: Both the Part and the Whole and Order in Disorder: The Preference of Nature. The author concludes—and reaffirms in his 2008 Afterword—that “[c]haos was the creation of information” (260). In some respects, this implies that chaos is not an outlier, a revolutionary new science that develops in interdisciplinary ways but rather that it will become a foundation of science itself. Indeed, the work of the many scientists the book profiles points toward new laws of nature that reveal universal tendencies.

For instance, chaos science has potentially profound implications for how human biology is understood: “[P]hysiologists have also begun to see chaos as health” (292). Without motion and dynamism, the human body locks into stasis, which indicates death. Thus, the fields of biology and medicine have vested interests in studying the dynamic system of the human body in all its randomness and rhythms. Chaos suggests that life itself grows out of the fundamental tenets suggested by the science: Without chaos, life does not exist.

Ultimately, the author shows how chaos has contributed to a wide variety of fields and greatly expanded the understanding of how dynamic systems work in the physical world. In part, the advantage that chaos offered was to work across scientific fields to look at data from new perspectives: “For [these scientists], chaos was the end of the reductionist program in science” (304). These innovators wanted to understand the whole rather than the myriad parts: “[T]heir task was to understand complexity itself” (307). Fittingly, this meant that chaos developed in bursts of inspiration stymied by standard ways of practicing science; it was hampered by the complexity of academia and funding, by politics and partiality. As the epigraph to Chapter 9 quotes science historian Thomas Kuhn, “Communication across the revolutionary divide is inevitably partial” (241)—and Gleick’s afterword makes it clear that revolutionary divide has now been decidedly crossed, and chaos is one of the standard bearers of scientific thought and study.

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