Intrinsic algebraic characterization of space-time structure

DOI10.1007/BF00671024zbMath0832.46066MaRDI QIDQ1893891

Ulrich Bannier

Publication date: 5 March 1996

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

zbMATH Keywords

space-timealgebras of observables of physical subsystemspartially ordered set of \(C^*\)-algebrasphysical theory without an underlying metaphysical manifoldunification of general relativity and quantum field theory

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (6)

GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS ⋮ Unnamed Item ⋮ Antiunitary representations and modular theory ⋮ Spacetime-free approach to quantum theory and effective spacetime structure ⋮ Spacetime granularity from finite-dimensionality of local observable algebras ⋮ Space and time in particle and field physics

Cites Work

• Unnamed Item
• Standard and split inclusions of von Neumann algebras
• The universal structure of local algebras
• On generally covariant quantum field theory and generalized causal and dynamical structures
• Algebras of local observables on a manifold
• Product states for local algebras
• A note on extended locality
• Inner Product Spaces and the Tri-Spherical Intersection Property
• An Algebraic Approach to Quantum Field Theory
• The Large Scale Structure of Space-Time

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