Causal logic of Minkowski space

DOI10.1007/BF01614163zbMath0393.03046MaRDI QIDQ1252345

Wojciech Cegła, Arkadiusz Jadczyk

Publication date: 1977

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Special RelativityCausal Logic of Minkowski SpaceComplete Orthomodular LatticeQuantum Logic

Mathematics Subject Classification ID

Special relativity (83A05) Algebraic logic (03G99) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Modular lattices, Desarguesian lattices (06C05) Quantum logic (03G12)

Related Items (16)

Orthomodular lattice in relativistic non-quantum mechanics ⋮ Covariant representations of the causal logic ⋮ Probabilistic and causal dependence structures ⋮ Algebraic and Geometric Structures in Special Relativity ⋮ The Rich Structure of Minkowski Space ⋮ A generalized modal logic in causal structures ⋮ Bibliography on quantum logics and related structures ⋮ Orthomodular lattice in Lorentzian globally hyperbolic space-time ⋮ Non-modular lattices generated by the causal structure ⋮ Lorentzian causality theory ⋮ The covering law in orthomodular lattices generated by graphs of functions ⋮ States on causal logic ⋮ Orthomodular Lattices in Occurrence Nets ⋮ On Orthomodular Posets Generated by Transition Systems ⋮ Orthomodular lattices generated by graphs of functions ⋮ Ortho and causal closure as a closure operations in the causal logic

Cites Work

• Lexicographic orthogonality
• Logics generated by causality structures. Covariant representations of the Galilean logic
• Causal models and space-time geometries
• On the continuity of causal automorphisms of space-time
• Causal groups of space-time
• The structure of space-time transformations
• Operational Statistics. I. Basic Concepts
• Causality Implies the Lorentz Group
• States and the free orthogonality monoid

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