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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