Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness
| Citations: | 5 - 5 self |
BibTeX
@MISC{Baianu_categoricalontology,
author = {I. C. Baianu and R. Brown and J. F. Glazebrook},
title = {Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness},
year = {}
}
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Abstract
Abstract A categorical ontology of space and time is presented for emergent biosystems, super-complex dynamics, evolution and human consciousness. Relational structures of organisms and the human mind are naturally represented in nonabelian categories and higher dimensional algebra. The ascent of man and other organisms through adaptation, evolution and social co-evolution is viewed in categorical terms as variable biogroupoid representations of evolving species. The unifying theme of local-to-global approaches to organismic development, evolution and human consciousness leads to novel patterns of relations that emerge in superand ultra- complex systems in terms of colimits of biogroupoids, and more generally, as compositions of local procedures to be defined in terms of locally Lie groupoids. Solutions to such local-to-global problems in highly complex systems with ‘broken symmetry ’ may be found with the help of generalized van Kampen theorems in algebraic topology such as the Higher Homotopy van Kampen theorem (HHvKT). Primordial organism structures are predicted from the simplest metabolic-repair systems extended to self-replication through autocatalytic reactions. The intrinsic dynamic ‘asymmetry ’ of genetic networks in organismic development and evolution is investigated in terms of categories of many-valued, Łukasiewicz–Moisil logic algebras and then compared with those obtained for (non-commutative) quantum
Keyphrases
human consciousness categorical ontology complex spacetime higher homotopy ukasiewicz moisil logic algebra superand ultra complex system local procedure relational structure dimensional algebra unifying theme metabolic-repair system complex system categorical term nonabelian category intrinsic dynamic asymmetry local-to-global problem autocatalytic reaction social co-evolution broken symmetry generalized van kampen kampen theorem human mind super-complex dynamic lie groupoids organismic development emergent biosystems local-to-global approach genetic network primordial organism structure variable biogroupoid representation algebraic topology
