# A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity

@article{Bianu2007ANC, title={A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity}, author={Ion C. Băianu and Ronald T. Brown and James F. Glazebrook}, journal={Axiomathes}, year={2007}, volume={17}, pages={353-408} }

A non-Abelian, Universal SpaceTime Ontology is introduced in terms of Categories, Functors, Natural Transformations, Higher Dimensional Algebra and the Theory of Levels. A Paradigm shift towards Non-Commutative Spacetime structures with remarkable asymmetries or broken symmetries, such as the CPT-symmetry violation, is proposed. This has the potential for novel applications of Higher Dimensional Algebra to SpaceTime structure determination in terms of universal, topological invariants of… Expand

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files: Acomarev34TAO1pt10 .tex CATEGORICAL ONTOLOGY OF COMPLEX SYSTEMS, META–SYSTEMS AND LEVELS: THE EMERGENCE OF LIFE, HUMAN CONSCIOUSNESS AND SOCIETY

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