Abstract
In this paper, we analyze the temporal dimension of the problem of emergence of functional networks in living systems and give an abstract mathematical framework for dealing with those issues without considering the structure of the particular mappings or the resulting dynamics. We found that formal structures equivalent to emergence of local ordering and local chronologies can be defined within the framework of topological relations based on local observers. By using category theory, we further represented higher levels of transformations (between closures), with a special focus on observer turnover.
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References
Newton-Smith, W.H.: The Structure of Time. Routledge & Kegan Paul, London (1980)
Zimmerman, D.: Persistence and Presentism. Philosophical Papers 25, 115–126 (1996)
Luhmann, N.: Soziale Systeme. In: Grundrisseiner allgemeinen Theorie. Suhrkamp Verlag GmbH, Frankfurt (1987)
Hershko, A.: Ubiquitin: roles in protein modification and breakdown. Cell 34, 11–12 (1983)
Zeleny, M. (ed.): Autopoiesis: A Theory of Living Organization. Elsevier North-Holland, Amsterdam (1981)
Robb, A.A.: The Absolute Relations of Time and Space. Cambridge University Press, Cambridge (1921)
Lucas, J.R.: The Conceptual Roots of Mathematics: An essay on the philosophy of mathematics. Routledge, New York (2002)
MacLane, S.: Categories for the Working Mathematician. Springer, New York (1998)
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Balaz, I., Mihailovic, D.T. (2011). Observer Based Emergence of Local Endo-time in Living Systems: Theoretical and Mathematical Reasoning. In: Kampis, G., Karsai, I., Szathmáry, E. (eds) Advances in Artificial Life. Darwin Meets von Neumann. ECAL 2009. Lecture Notes in Computer Science(), vol 5778. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21314-4_28
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DOI: https://doi.org/10.1007/978-3-642-21314-4_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21313-7
Online ISBN: 978-3-642-21314-4
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