Synergetics of Cognition pp 296-331 | Cite as

# Symmetry and Symmetry-Breaking in Thermodynamic and Epistemic Engines: A Coupling of First and Second Laws

## Abstract

Science traditionally models interactions at the same scale treating systems as isolated first and then as interacting second. This approach has well-recognized limitations. It imputes an original symmetric state space to a system followed by symmetry-breaking operations until systems of a desired order of complexity are reached. Once a level of order is reached they converge back onto their original symmetric state space. This sequential alternation of conservative and nonconservative strategies is tantamount to the assumption that first principles (the First and Second Laws) are so weakly coupled that system dynamics are reversible; hence it assumes the laws operate essentially at the same scale. For systems with complex interiors, where much symmetry-breaking is needed, it is impossible to prevent anomalous modes of organization from arising that inflate the dimensionality of the system—an acknowledged but unavoidable curse of open systems analysis when all parameters are distributed at the same scale (i.e., over the same state space). To prevent this unwelcome outcome, ad hoc algebraic filters or post hoc (super) selection rules must be added to *same-scale*theories—a violation of both the parsimony and integrity of the putative first principles. *Same-scale*theorists so far have been unable to show how such ad hoc or post hoc provisos may either be avoided, used to formulate new first principles, or to reformulate the old ones. An alternative strategy is to assume that the first principles are coupled nonlinearly rather than linked linearly. The nonlinear strategy assumes that the smallest unit of analysis for explaining complex system dynamics is the nonlinear *law-couple*itself, which applies irreversibly across macro-and micro-scales and reversibly across modes at the same scale. Thus symmetry-preserving and symmetry-breaking strategies are treated as a single strategy with no need to postulate theoretically unredeemable provisos. Evidence for the nonlinear coupling of the two laws is found across micro- and macro scales with respect to ascending orders of organization—spaces coupled by geometries, geometries coupled by fields, fields by engines, and engines by systems. These issues are discussed in terms of open complex systems examples (e.g., nest-building by termites, craniofacial growth, perceptual illusions) to illustrate the need for applying the same nonlinearly coupled first principles across the scales of physical, biological, and psychological modes.

## Keywords

Equilibrium Point Nonlinear Coupling Storage Mode Intentional Dynamic Craniofacial Growth## Preview

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## References

- [1]R. Thorn:
*Structural Stability and Morphogenesis*, (Benjamin, Reading, MA 1975)Google Scholar - [2]A. S. Iberall: “A Field and Circuit Thermodynamics for Integrative Physiology. I, II, and III”,
*Am. J. Physiol: Reg., Integ. Comp. Physiol*.**2**, R171 (1977),**3**, R3, R85 (1978)Google Scholar - [3]H. Haken:
*Synergetics, An Introduction*, 3rd ed. (Springer, Berlin 1977/1983)zbMATHGoogle Scholar - [4]B. B. Mandelbrot:
*Fractals: Form, Chance and Dimension*, (Freeman, San Francisco 1977)zbMATHGoogle Scholar - [5]I. Prigogine:
*From Being to Becoming*, (Freeman, San Francisco 1980)Google Scholar - [6]F. E. Yates: Ed.,
*Self-Organizing Systems: The Emergence of Order*(Plenum, New York 1987)Google Scholar - [7]D. Bohm, F. D. Peat:
*Science, Order, and Creativity*, (Bantam, New York 1987)Google Scholar - [8]K. R. Symon:
*Mechanics*, (Addison-Wesley, Reading, MA 1971)Google Scholar - [9]P. N. Kugler, M. T. Turvey:
*Information, Natural Law, and the Self-Assembly of Rhythmic Movements*(Erlbaum, Hillsdale, NJ 1987)Google Scholar - [10]R. E. Shaw, P. N. Kugler, J. M. Kinsella-Shaw: “Reciprocities of Intentional Systems”, in
*Studies in Ego-Motion*, R. Warren, A. Wertheim, Eds. (in press)Google Scholar - [11]H. Weyl:
*Symmetry*, (Princeton University Press, Princeton, NJ 1952)zbMATHGoogle Scholar - [12]F. Klein:
*Elementary Mathematics from an Advanced Standpoint*, (Dover, New York 1945)Google Scholar - [13]S. Lie:
*Gesammelte Abhandlungen, bd. 1–7*, (B. G. Teubner, Leipzig 1922-1960)zbMATHGoogle Scholar - [14]E. Noether: “Nachrichten Gesell. Wissenschaft”, Gottingen,
**2**, 235 (1918)Google Scholar - [15]E. Wigner:
*Symmetries and Reflections: Essays in Honor of Eugene P. Wigner*(MIT Press, Cambridge 1967)Google Scholar - [16]W. L. Burke:
*Applied Differential Geometry*, (Cambridge University Press, London 1985)zbMATHGoogle Scholar - [17]B. A. Kay: “The Dimensionality of Movement Trajectories and the Degrees of Freedom Problem: A Tutorial”, in
*Self-Organization in Biological Work Spaces*, P.N. Kugler, Ed. (North Holland, Amsterdam 1989)Google Scholar - [18]P. N. Kugler, J. A. S. Kelso, M. T. Turvey: “On the Concept of Coordinative Structures as Dissipative Structures: I. Theoretical Lines of Convergence”, in
*Tutorials in Motor Behavior*, G. E. Stelmach, J. Requin, Eds. (North Holland, New York 1980)Google Scholar - [19]N. H. Packard: “Adaptation Toward the Edge of Chaos”, in
*Dynamic Patterns in Complex Systems*, J. A. S. Kelso, A. J. Mandell, M. F. Shlesinger, Eds. (World Scientific, Singapore 1988)Google Scholar - [20]J. J. Gibson:
*The Ecological Approach to Visual Perception*(Houghton-Mifflin, Boston, 1979]Google Scholar - [21]R. E. Shaw, J. M. Kinsella-Shaw: “Ecological Mechanics: A Physical Geometry for Intentional Constraints”,
*Hum. Mov. Sci*.,**7**, 155 (1988)CrossRefGoogle Scholar - [22]J. B. Pittenger, R. E. Shaw: “Aging Faces as Viscal-Elastic Events: Implications for a Theory of Non-rigid Event Perception”,
*J. Exp. Psy.: Hum. Perc. Perf*.,**1**, 374 (1975)CrossRefGoogle Scholar - [23]L. S. Mark, B. Shapiro, R. E. Shaw: “A Study of the Structural Support for the Perception of Growth”,
*J. Exp. Psy.: Hum. Perc. Perf*.,**12**, 149 (1986)CrossRefGoogle Scholar - [24]L. S. Mark, R. E. Shaw, J. B. Pittenger: “Natural Constraints, Scales of Analysis, and Information for the Perception of Growing Faces”, in
*Social and Applied Aspects of Perceiving Faces*, T. R. Alley, Ed. (Erlbaum, Hillsdale, New Jersey 1988)Google Scholar - [25]C. Carello, A. Grosofsky, R. E. Shaw: “Are Faces Special?”,
*J. Exp. Psy.: Hum. Perc. Perf*. (in press)Google Scholar - [26]D. W. Thompson:
*On Growth and Form*, (Cambridge University Press, London 1917/1942)Google Scholar - [27]R. E. Shaw, L. S. Mark, H. Jenkins, E. Mingolla: “A Dynamic Geometry for Predicting Craniofacial Growth” in
*Factors and Mechanisms in Bone Growth*, A. Dixon, B. Sarnat, Eds. (Liss, New York 1982)Google Scholar - [28]C. Carello, A. Grosofsky, R. E. Shaw, J. B. Pittenger, L. S. Mark: “Attractiveness of Facial Profiles is a Function of Distance from Archetype”,
*Ecol. Psy*.,**1**, 227 (1989)CrossRefGoogle Scholar - [29]S. Runeson: “On the Possibility of “Smart” Perceptual Mechanisms”,
*Scan. J. Psy*.,**18**, 172 (1977)CrossRefGoogle Scholar - [30]R. Penrose: Massless Field and Sheaf Cohomology. Twistor Newsletter N.5 (Oxford, July 1977); “On the Twistor Description of Massless Fields”, in
*Complex Manifold Techniques in Theoretical Physics*, D. E. Lerner, P. D. Sommers, Eds. Research Notes in Mathematics, Vol. 32 (Pitman, London 1979Google Scholar - [31]F. D. Peat:
*Superstrings and the Search for the Theory of Everything*, (Contemporary Books, Chicago 1988)Google Scholar