Complexity and the Emergence of Physical Properties

Using the effective complexity measure, proposed by M. Gell-Mann and S. Lloyd, we give a quantitative definition of an emergent property. We use several previous results and properties of this particular information measure closely related to the random features of the entity and its regularities.

[1]  Joseph M. Whitmeyer,et al.  Social Emergence: Societies as Complex Systems , 2006 .

[2]  N. Henry.  Problems of Life and Mind , 2000 .

[3]  J. Crutchfield.  The calculi of emergence: computation, dynamics and induction , 1994 .

[4]  Hans V. Westerhoff,et al.  Emergence and Its Place in Nature: A Case Study of Biochemical Networks , 2005, Synthese.

[5]  Ming Li,et al.  An Introduction to Kolmogorov Complexity and Its Applications , 2019, Texts in Computer Science.

[6]  R. Sawyer.  Social Emergence: Societies As Complex Systems , 2005 .

[7]  C. Hempel,et al.  Studies in the Logic of Explanation , 1948, Philosophy of Science.

[8]  P. Davies,et al.  The Re-Emergence of Emergence: The Emergentist Hypothesis from Science to Religion , 2008 .

[9]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[10]  R. Feynman,et al.  The Feynman Lectures on Physics Addison-Wesley Reading , 1963 .

[11]  Alex J. Ryan,et al.  Emergence is coupled to scope, not level , 2006, Complex..

[12]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[13]  Melanie Mitchell,et al.  Complexity - A Guided Tour , 2009 .

[14]  Nihat Ay,et al.  Effective Complexity and Its Relation to Logical Depth , 2008, IEEE Transactions on Information Theory.

[15]  Philip Clayton.  Mind and Emergence: From Quantum to Consciousness , 2004 .

[16]  C. Shalizi,et al.  Causal architecture, complexity and self-organization in time series and cellular automata , 2001 .

[17]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[18]  S. Lloyd,et al.  Measures of complexity: a nonexhaustive list , 2001 .

[19]  R. Clausius,et al.  XI. On the nature of the motion which we call heat , 1857 .

[20]  Yaneer Bar-Yam,et al.  A mathematical theory of strong emergence using multiscale variety , 2004, Complex..

[21]  Vince Darley.  Emergent Phenomena and Complexity , 2004 .

[22]  Seth Lloyd,et al.  Effective Complexity , 1995 .

[23]  Carlos Gershenson,et al.  Complexity and information: Measuring emergence, self-organization, and homeostasis at multiple scales , 2012, Complex..

[24]  Carlos Gershenson,et al.  Information Measures of Complexity, Emergence, Self-organization, Homeostasis, and Autopoiesis , 2013, ArXiv.

[25]  Simone Severini,et al.  Quantum bose-hubbard model with an evolving graph as a toy model for emergent spacetime , 2009, 0911.5075.

[26]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[27]  O A Rosso,et al.  Distinguishing noise from chaos. , 2007, Physical review letters.

[28]  Mark A. Bedau,et al.  Emergence : contemporary readings in philosophy and science , 2008 .

[29]  Young,et al.  Inferring statistical complexity. , 1989, Physical review letters.

[30]  Grégoire Nicolis,et al.  Foundations of Complex Systems , 2009, European Review.

[31]  Seth Lloyd,et al.  Information measures, effective complexity, and total information , 1996, Complex..