A new approach to quantising space-time. I: Quantising on a general category

DOI10.4310/ATMP.2003.V7.N2.A5zbMath1093.81058arXivgr-qc/0303060MaRDI QIDQ819909

N. E. Zubov

Publication date: 31 March 2006

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0303060

zbMATH Keywords

categoryarrow-field quantum theorymonoid of arrow fieldsQuantising space-timeset of objects

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantization in field theory; cohomological methods (81T70) Quantization of the gravitational field (83C45) General quantum mechanics and problems of quantization (81S99) Noncommutative geometry in quantum theory (81R60) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Categories of spans/cospans, relations, or partial maps (18B10)

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Non-abelian higher gauge theory and categorical bundle ⋮ `Third' quantization of vacuum Einstein gravity and free Yang-Mills theories ⋮ Glafka-2004: categorical quantum gravity ⋮ Finitary topos for locally finite, causal and quantal vacuum Einstein gravity ⋮ Ordered groupoids and the holomorph of an inverse semigroup ⋮ SPINOR GEOMETRY ⋮ CATEGORICAL FOUNDATION OF QUANTUM MECHANICS AND STRING THEORY

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