Geometry and physics today

DOI10.1007/s10773-006-9130-3zbMath1111.83019arXivphysics/0405112OpenAlexW2002623128MaRDI QIDQ857709

Anastasios Mallios

Publication date: 20 December 2006

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

Full work available at URL: https://arxiv.org/abs/physics/0405112

zbMATH Keywords

singularitiesquantum field theorygeneral relativitygauge theoriesphysical geometry

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (10)

The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules ⋮ On Utiyama's theme through ``\(\mathcal {A}\)-invariance ⋮ Quantum observables algebras and abstract differential geometry: the topos-theoretic dynamics of diagrams of commutative algebraic localizations ⋮ Foundation for quantum computing. II ⋮ The homological Kähler-de Rham differential mechanism. II: Sheaf-theoretic localization of quantum dynamics ⋮ A dodecalogue of basic didactics from applications of abstract differential geometry to quantum gravity ⋮ Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem ⋮ 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

Cites Work

• Finarity substitute for continuous topology
• Abstract differential geometry, differential algebras of generalized functions, and de Rham cohomology
• Finitary, causal, and quantal vacuum Einstein gravity
• Finitary spacetime sheaves
• Finitary Čech-de Rham cohomology
• Symplectic geometry
• Space-time foam dense singularities and de Rham cohomology
• Finitary spacetime sheaves of quantum causal sets: curving quantum causality
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