论文信息 - Non-modular lattices generated by the causal structure

Non-modular lattices generated by the causal structure

A lattice structure approach is used for investigation of the causal structure of space-time. Two lattices are considered: the first one generated by the chronological relation based on a time-like curve, the second one generated by the causal relation based on a causal path.

Bernard Jancewicz | Wojciech Cegła | W. Cegła | B. Jancewicz

[1] Roger Penrose,et al. On the structure of causal spaces , 1967, Mathematical Proceedings of the Cambridge Philosophical Society.

[2] R. Geroch,et al. The domain of dependence , 1970 .

[3] S. Hawking,et al. Causally continuous spacetimes , 1974 .

[4] A. Jadczyk,et al. Causal logic of Minkowski space , 1977 .

[5] B. Jancewicz. Operator density current and relativistic localization problem , 1977 .

[6] W. Cegła,et al. Representations of relativistic causality structure by an operator density current , 1977 .

[7] A. Jadczyk,et al. States on causal logic , 1979 .

[8] R. Mayet. Orthomodular lattice in relativistic non-quantum mechanics , 1995 .

[9] H. Casini. The logic of causally closed spacetime subsets , 2002, gr-qc/0205013.

[10] Prakash Panangaden,et al. A Domain of Spacetime Intervals in General Relativity , 2005, Spatial Representation.

[11] W. Cegła,et al. Orthomodular Lattices Generated by Graphs of Functions , 2005 .

[12] W. Cegła,et al. Ortho and Causal Closure as a Closure Operations in the Causal Logic , 2005 .

[13] W. Cegła,et al. The Covering Law in Orthomodular Lattices Generated by Graphs of Functions , 2006 .

[14] Seth Major,et al. On Recovering continuum topology from a causal set , 2007 .