A positive formalism for quantum theory in the general boundary formulation

DOI10.1007/s10701-013-9741-5zbMath1295.81013arXiv1212.5571OpenAlexW3101372563WikidataQ62100563 ScholiaQ62100563MaRDI QIDQ2015091

Robert Oeckl

Publication date: 18 June 2014

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5571

zbMATH Keywords

quantum gravityquantum field theoryquantum information theorygeneral boundary formulationfoundations of quantum theory

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantization of the gravitational field (83C45) Axiomatic quantum field theory; operator algebras (81T05) Topological field theories in quantum mechanics (81T45) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (9)

Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary ⋮ Quantization of systems with temporally varying discretization. I. Evolving Hilbert spaces ⋮ Compositional quantum field theory: An axiomatic presentation ⋮ Towards state locality in quantum field theory: free fermions ⋮ Implementation of the Quantum Equivalence Principle ⋮ Complex structures and quantum representations for scalar QFT in curved spacetimes ⋮ The boundary is mixed ⋮ Operational quantum theory without predefined time ⋮ The hole argument and some physical and philosophical implications

Cites Work

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• The Unruh effect in general boundary quantum field theory
• Free Fermi and Bose fields in TQFT and GBF
• General boundary quantum field theory: foundations and probability interpretation
• The transition probability in the state space of a \(^*\)-algebra
• Schrödinger-Feynman quantization and composition of observables in general boundary quantum field theory
• Observables in the General Boundary Formulation
• The operator tensor formulation of quantum theory
• Schrödinger's cat and the clock: lessons for quantum gravity
• Order Properties of Bounded Self-Adjoint Operators

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