Categorial Ontology of Complex Systems, Meta-Systems and Levels: The Emergence of Life, Human Consciousness and Society

Ion C. Baianu, James F. Glazebrook

Abstract


Relational structures of organisms and the human mind are naturally represented in terms of novel variable topology concepts, non-Abelian categories and Higher Dimensional Algebra{ relatively new concepts that would be defined in
this tutorial paper. A unifying theme of local-to-global approaches to organismic development, evolution and human consciousness leads to novel patterns of relations that emerge in super- and ultra- complex systems in terms of compositions of local procedures [1]. The claim is defended in this paper that human consciousness is unique and should be viewed as an ultra-complex, global process of processes, at a meta-level not sub{summed by, but compatible with, human brain dynamics [2]-[5]. The emergence of consciousness and its existence
are considered to be dependent upon an extremely complex structural and functional unit with an asymmetric network topology and connectivities{the human brain. However, the appearance of human consciousness is shown to be critically dependent upon societal co-evolution, elaborate language-symbolic communication and `virtual', higher dimensional, non{commutative processes involving separate space and time perceptions. Theories of the mind are approached from the theory of levels and ultra-complexity viewpoints that throw
new light on previous semantic models in cognitive science. Anticipatory systems and complex causality at the top levels of reality are discussed in the context of psychology, sociology and ecology. A paradigm shift towards non-commutative, or more generally, non-Abelian theories of highly complex dynamics [6] is suggested to unfold now in physics, mathematics, life and cognitive sciences, thus leading to the realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. The presence of strange attractors in modern society dynamics gives rise to very serious concerns for the future of mankind and the continued persistence of a multi-stable Biosphere.

Keywords


Categorical Ontology of Super-Complex and Ultra-Complex System Dynamics,Higher Dimensional Algebra of Networks,Theoretical Biol- ogy and Variable Groupoids, Non-Abelian Quantum Algebraic Topology and Quantum Double Groupoids,Higher Homotopy-General van Ka

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