Is creativity a ‘natural’ process? Abstract This paper argues for an examination of creativity at a lower functional level than existing cognitive-sociological models, drawing on the dynamics of self-organizing complex systems and patterns. Current models focus on cycles or modes of behaviour; whereas dynamic, selforganising physical processes may be directly related to creativity. Introduction “We are a part of nature and one of our conceits is to feel apart from it” - James Turrell (2009), land artist Turrell’s statement highlights a key influence on human models of culture and aesthetics which—like persistent dynamic patterns in nature—resist the two extremes of: disorder–inertia; rigidity–crystallization. These are usually avoided during the creative process because dynamic equilibrium between control and freedom produces a creative ‘goldilocks zone’—we disparage rigid or formulaic work as much as the unstructured; precious and careless attract similar opprobrium. At a more fundamental level than the cultural (Jones 1999), is aesthetic sensibility shaped by the very processes which sustain us? If so, creativity may actually be driven by the dynamic complex equilibrium of our physiology in interaction with the same processes in the natural world. Since recent work on dynamic patterns in human activity has already yielded findings in neurology (Kelso 1995), notions about creativity invite reassessment. Creativity as dynamic equilibrium Much contemporary art practice owes little to the historical concept of ‘nature’, while seeking a kind of dynamic equilibrium. The ‘too much’ or ‘too little’ inimical to this equilibrium are—with the parameters of aesthetic judgements—evidence of the exacting criteria employed iteratively during the creative process. Parameters, within the boundaries of which a work is intended to emerge, are determined by the artist; with imprecise phrases such as ‘almost’, ‘too much’ or ‘not quite’ expressing precise aesthetic evaluations shaping the process (poets agonizing over the famous comma). The self-organization examined in the many branches of complexity science also occurs in regions between extremes, beyond which it ‘escapes’ from the intricacies of the complex system or falls into predictable periodicities or patterns. Further (unlike chaotic models) self-organization in the natural world is unrepeatable, yet the parameters hold (an oak tree distinct from all other remains within the Subgenus Quercus, each cloud is unique…). The natural world: inspiration or literal model? To treat the living body as a mechanism was repugnant, and seemed even ludicrous, to Pascal... Even now the zoologist has scarce begun to dream of defining in mathematical language even the simplest organic forms. When he meets with a simple geometrical construction, for instance in the honeycomb, he would fain refer it to psychical instinct, or to skill and ingenuity, rather than to the operation of physical forces or mathematical laws —‘On Growth and Form’ (Wentworth 2008) At the original publication date (1917) it was necessary to assert that the beauty of natural forms was not an unfathomable or religious mystery. With the advantage of almost 100 intervening years of knowledge, Philip Ball’s work covers similar territory for the 21 st century (Ball 1999, 2009), documenting how identical pattern-forming processes are common to a surprisingly diverse range of phenomena, for instance: branching trees, river deltas, mineral dendrite patterns; even liquid ethane flows on Saturn’s moon Titan. Less obviously, superficially unconnected phenomena such as zebra stripes, sand dunes, chemical oscillations and heart defibrillation are revealed as manifestations of a group of underlying processes that can be modeled consistently (with cellular automata and formulae), revealing generic patterns across a diverse array of materials and scales. At smaller scales, self-organization is apparent in the atomic structures underlying the material from which large-scale patterns constituted; others apparent in processes as vast as galaxy formation, are also observed in chemical interactions. Some patterns are temporal, others spatial; some (like strange attractors) appear only when plotted multi-dimensionally. When excited by increased energy, some oscillating systems double their periodic rate in regular numerical sequences. Transitions between these sequences are unstable— oscillations jump about within parameters but without stability, breaking the symmetry of the periodic oscillations. This symmetry-breaking is also necessary for self-organizing patterns to arise from a homogenous unity; embryonic cell division, required for the development of specialized cells in complex living beings, is an example. As with ‘On Growth and Form’, self-organizing patterns appeal to aesthetic sensibilities. Yet even where such findings have been employed as deep analogy (see DeLanda 2002, pp94-95 on bifurcation), they cannot prove a literal connection. So let us suppose they actually determine the creative process as homology, where phenomenal similarity is due to common origin or shared dynamic. Analogies and homologies Patterns integral to the creative process have their labels: blockages, flow, rhythm and destabilization, and a periodic need to break the symmetry of stable but stagnant states. Our recognition of such states may betray an underlying homology with dynamic patterns—in which case our attraction to those patterns in the natural world cannot be dissociated from those within our own being. Patterns ‘outside ourselves’ evoke a sense of beauty, awe or connection perhaps only because of our self-conscious separation from them: the history of aesthetics… in the work of Kant [‘Critique of Judgement’] and others in the eighteenth- and nineteenth-centuries, is a story about one of the last covertly theological attempts to bridge the seemingly unsurpassable chasm between “man” and “nature,” inside and outside, subject and object. (Jones 1999) As observers, our aesthetic appreciation of the natural world can only be enhanced by accepting the intimate connection between our individuality and the dynamic patterns of the natural world, since these exist within our physiology and even consciousness (see Kirilyuk 2004 for machine consciousness; Jordan and Ghin 2006 for a psychological overview). Perhaps aesthetics formalises an unconscious appreciation of this connection, as some works express this relationship. The land-art of Nancy Holt (Holt 1973), illustrates the cyclic rhythms of the phenomenal world. The music of Sonic Youth (1994) popularized a kind of symmetry-breaking, with chaotic detuned passages breaking up melodic structures. More directly, composer David Burraston (2009) uses complex dynamic systems to generate work, employing ‘cellular automata and nature’ in the form of a ‘long wire instrument’. Scientific terminology is regularly misused to lend credence to popular analogies masquerading as literal models: New Age ‘energies’, ‘right-left brain’ misconceptions, ‘phase shift’ or ‘quantum leap’ to describe radical change, or even ‘strange attractor’ because of its poetic appeal. Models of human behaviour based on complex dynamic systems can only be validated by evidence that such patterns emerge in a quantifiable manner, not by analogy. Such validation would break that persistent barrier between ‘human’ and ‘natural’. However, the leap from analogy to homology can only be made if patterns already documented in complex phenomena also emerge consistently when creativity is studied. The central issue therefore revolves around whether these parallels are analogy or homology; does the creative process actually share the same structure, origin and patterns as these phenomena but have a different function, or is the similarity phenomenal? Towards finer-grained models of creativity Research into creativity via the interdisciplinary fields and complexity and dynamic patterns is preceded by social science research that reveals such systems operating at human scales (e.g. Klemm et al 2003, or Holyst 2000). As a contrast to this established work, Ben Goertzel (1996) explains the tentative nature of his thinking about consciousness, creativity and complexity: Some readers may be disturbed by my heady mixture of “finished” research projects, raw philosophical speculations, and promising scientific beginnings. However, my feeling is that his mixture is entirely appropriate to the subject matter. Other work on creativity and complexity appears diverse, covering areas beyond the scope of creativity, although terms from dynamic systems are apparent: a creative idea may be classified simply as a conceptual change. When viewed through the lens of complexity thinking, conceptual changes bear intriguing similarities to the behaviours of complex phenomena. (Roy 2007) Yet ‘intriguing similarities’ are still analogies. If homologies between creative processes and complex dynamics exist, how do established approaches to creativity measure up (e.g. those reviewed in Schunn et al 2006 and Plsek 1996)? For instance, the view: that creative ideas emerge from a largely uncontrollable Darwinian process of random variation and natural selection (Plsek 1996) is countered by the observations of Ball (1999, pp77-78) and Alexander (2001) that natural selection cannot account for patterns generated by the properties of matter itself. Psychological and philosophical approaches to creativity gloss over this subtle energetic dynamism inherent in form; they do not even take it for granted but often ignore its implications entirely, as noted by Kelso (1995): when eminent physicists and biologists... consider [...] properties of living things such as consciousness and creativity, they completely ignore (or are ignorant of) theories of cooperative phenomena far from equilibrium Linearity, circularity and iteration Wallas (quoted in Plsek 1996) proposed one of the earliest models of the creative process: preparation, incubation, illumination, verification. Successive models generally build on this, yet fail to detail the iterative judgements driving a satisfactory creative outcome any further than the ‘adjust, learn, evaluate, adjust’ of Fritz (1991). There is even a certain clunkiness to the metaphors: these… models […] are complex scripts for higher-order thinking. Regardless of the specific model we chose, we are called to engage in an intricate mental dance over an extended period of time. The complexity implied by this balancing act is probably the reason why creative ideas are so rare. Even though we all possess the underlying mental building blocks for creative thinking, stacking the blocks just right is very difficult work! (Plsek 1996) Linearity is also a recognized inadequacy in models of behaviour, as pointed out by Stenmark (2002) while critiquing knowledge management models: The problem with the oversimplified figure [Data -> Information -> Knowledge] is that it holds three tacitly understood assumptions, which all can be questioned. Firstly… that the relationship between data, information, and knowledge is linear. The distance between data and information is the same as the distance between information and knowledge, implying that the effort required moving from one entity to another is the same. Though it may not be possible to correctly state the true relationship between these entities, there is nothing that indicates that it should be linear. Instead of ‘building blocks’ and ‘stages’, models of creativity might benefit from the iterative nature of equations describing dynamic processes: …circularity can be represented by an equation representing how some phenomenon or variable y is mapped, by a transformation or process f, onto itself: y = f(y) [...] Such equations have been extensively studied as iterated maps, and are the basis of chaotic dynamics and fractal geometry. —Heylighen and Joslyn (2001) This simplified example illustrates a point—that creative output is fed back into the process to generate the next output, until a satisfactory result emerges. An actual homology is given by Kelso (1995 pp122-123) in his work on tapping rhythms, that reveals why musicians must ‘break the symmetry’ of ‘easy’ ratios in order to express more intricate patterns. The implication is that parameters of creative activity are determined at a very fine-grained level by natural patterns, since human transitions from one pattern to another reveal the same processes observed in non-human complex dynamic systems. Work in this field often highlights the ‘attractor’ concept: Once a system has entered an attractor, it can no longer reach states outside the attractor. This means that our uncertainty […] about the system's state has decreased: we now know for sure that it is not in any state that is not part of the attractor. This spontaneous reduction of entropy or, equivalently, increase in order or constraint, can be viewed as a most general model of self-organization. (Heylighen and Joslyn 2001) Elements of cultural, environmental and personal influence then become valuable ‘noise’, influencing the outcome: ...self-organization can be enhanced by random perturbations (“noise”) of the system’s state, which speed up… descent… through the basin, and makes it leave shallow attractors so that it can reach deeper ones. This is the order from noise principle. (Heylighen and Joslyn 2001) A complex dynamic approach to creativity raises many questions. For instance, does Csikszentmihalyi’s (1996) state of ‘flow’ begin with a phase shift, or does a bifurcation herald dynamic stability? What incremental processes occur during the ‘working’ phase of Galenson’s planning-working-stopping model? Seurat stated “I apply my method and that is all there is to it” (in Galenson 2006). How do we map the incremental judgments that keep creative practice both within bounds and producing variety? Linear models derived from Wallas (Plsek 1996) cannot capture every adjustment made during the creative process, but we know that the complex dynamics of perception and physical motion reveal homologies between human capability and dynamic patterns (Kelso 1995). The conceptual gap between human and natural is apparently closing, and with it the distance between analogy and homology. References Alexander, Victoria N. (2001) Neutral Evolution and Aesthetics: Vladimir Nabokov and Insect Mimicry, Dactyl Foundation for the Arts & Humanities and Santa Fe Institute. Available at: http://ideas.repec.org/p/wop/safiwp/01-10-057.html Ball, Philip (1999), The Self-Made Tapestry: Pattern Formation in Nature, Oxford University Press. Ball, Philip (2009), Nature's Patterns: A Tapestry in Three Parts, Oxford University Press. Burraston, David (2009) Creativity & Complexity: An Open Research Statement, published on COSNet - the ARC Complex Open Systems Research Network. Available at: http://www.complexsystems.net.au/w/index.php?title=Creativity_and_Complexity Csikszentmihalyi, Mihaly (1996), Creativity: Flow and the Psychology of Discovery and Invention, HarperCollins. De Landa, Manuel (2002), Intensive science and virtual philosophy, Continuum International Publishing Group. Fritz, R (1991) Creating. New York: Fawcett. Galenson, David W. (2006) Old masters and young geniuses, Princeton University Press. Goertzel, Ben (1996) From Complexity to Creativity: Computational Models of Evolutionary, Autopoietic and Cognitive Dynamics, Plenum Press. Heylighen, Francis (Free University of Brussels) and Joslyn, Cliff (Los Alamos National Laboratory) (2001) Cybernetics and Second-Order Cybernetics, in: R.A. Meyers (ed.), Encyclopedia of Physical Science & Technology (3rd ed.), Academic Press, New York. Holt, Nancy (1973-76) Sun Tunnels. See: Scott Carrier, A Solstice Observance in the Utah Desert, available at: http://www.npr.org/templates/story/story.php?storyId=5500934 or The CLUI Land Use Database at: http://www.clui.org/clui_4_1/ludb/sites/UT3126.html Holyst, Janusz A., and Krzysztof Kacperski, Frank Schweitzer (2000), Phase transitions in social impact models of opinion formation. Available at arXiv: http://aps.arxiv.org/abs/cond-mat/0004026v1 Jones, Amelia (1999) Beauty Discourse and the Logic of Aesthetics (originally for the local Society of Photographic Education conference), republished in X-Tra, Vol.2, No.3, available at: http://www.strikingdistance.com/xtra/XTra100/v2n3/ajones1.html Also see her essay (1999) ‘Arts history/art criticism’ in ‘Performing the body/performing the text’, Editors: Amelia Jones; Andrew Stephenson Nfa; Andrew Stephenson, Routledge, UK. Jordan, J. Scott (Department of Psychology, Illinois State University, Normal, USA) and Ghin, Marcello (Faculty of Cultural Sciences, University of Paderborn, Germany) (2006) (Proto-) Consciousness as a Contextually Emergent Property of Self-Sustaining Systems, in Mind & Matter Vol. 4(1), pp. 45–68. Available at: http://www.mindmatter.de/mmpdf/jordanwww.pdf Kelso, W. Scott (1995), Dynamic Patterns: The Self-Organization of Brain and Behavior, MIT Press. Kirilyuk, Andrei (2004) Emerging Consciousness as a Result of Complex-Dynamical Interaction Process. (Unpublished), presented at the EXYSTENCE workshop Machine Consciousness: Complexity Aspects (Torino, 29 Sep–1 Oct 2003). Available at: http://cogprints.org/3857/1/Consciousness.pdf Klemm, Konstantin, Víctor M. Eguíluz, Raúl Toral, and Maxi San Miguel (2003), Nonequilibrium transitions in complex networks: A model of social interaction, in Physical Review E 67, 026120 (2003), Issue 2—February 2003. Available at: http://prola.aps.org/abstract/PRE/v67/i2/e026120 Plsek, Paul E. (1996) Models for the Creative Process. Available at: http://www.directedcreativity.com/pages/WPModels.html Roy, Suparna (2007) Creativity, Complexity and Physics Education, Proceedings of the 2007 Complexity Science and Educational Research Conference Feb 18–20, Vancouver, British Columbia, pp. 217–224 (www.complexityandeducation.ca) Available at: http://www.complexityandeducation.ualberta.ca/conferences/2007/Documents/CSER07_ Roy.pdf Schunn, Paulus, Cagan, & Wood (2006) Final Report from the NSF Innovation and Discovery Workshop: The Scientific Basis of Individual and Team Innovation and Discovery. Sonic Youth (1994) Daydream Nation. Geffen DGCD24515. Also see the quoted dialogue in DeVries, Peter, ‘ The Rise and Fall of a Songwriting Partnership’ in The Qualitative Report Volume 10 Number 1 March 2005 39-54, available at: http://www.nova.edu/ssss/QR/QR10-1/devries.pdf Stenmark, Dick (2002) Information vs. Knowledge: The Role of intranets in Knowledge Management, Proceedings of the 35th Hawaii International Conference on System Sciences. Available at: http://www.viktoria.se/~dixi/km/index.html Turrell, James, interviewed in Januszczak, Waldemar (2008) The Sculpture Diaries, CHANNEL 4, Sunday 14 September. Wentworth Thompson, D'Arcy (1992) On growth and form, Cambridge University Press.