\(\mathcal{A}\)-invariance: An axiomatic approach to quantum relativity

DOI10.1007/S10773-007-9637-2zbMath1161.83353OpenAlexW2053778544MaRDI QIDQ1008101

Anastasios Mallios

Publication date: 24 March 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-007-9637-2

zbMATH Keywords

Yang-Mills fieldquantum relativity``Singularitiesdynamical relativistic localizationGel'fand/Yoneda transformsheaf-theoretic dynamicstopological algebra schemetopological algebra spacetopos-theoretic dynamicstopos-theoretic quantum field theory

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (7)

The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules ⋮ On Utiyama's theme through ``\(\mathcal {A}\)-invariance ⋮ The homological Kähler-de Rham differential mechanism. II: Sheaf-theoretic localization of quantum dynamics ⋮ Clifford \({\mathcal{A}}\)-algebras of quadratic \({\mathcal{A}}\)-modules ⋮ A sheaf-theoretic topos model of the physical ‘Continuum’ and its cohomological observable dynamics ⋮ Witt's theorem in abstract geometric algebra ⋮ \(\mathcal{A}\)-invariance: An axiomatic approach to quantum relativity

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