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・ Causal fermion system
・ Causal filter
・ Causal graph
・ Causal inference
・ Causal layered analysis
・ Causal loop
・ Causal loop diagram
・ Causal Markov condition
・ Causal model
・ Causal patch
・ Causal perturbation theory
・ Causal plane
・ Causal reasoning
・ Causal research
・ Causal sets
Causal structure
・ Causal system
・ Causal theory
・ Causal theory of knowledge
・ Causal theory of reference
・ Causal thinking
・ Causalism
・ Causality
・ Causality (disambiguation)
・ Causality (physics)
・ Causality conditions
・ Causanagh
・ Causantín mac Cináeda
・ Causantín mac Fergusa
・ Causantín, Earl of Fife


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Causal structure : ウィキペディア英語版
Causal structure

In mathematical physics, the causal structure of a Lorentzian manifold describes the causal relationships between points in the manifold.
== Introduction ==

In modern physics (especially general relativity) spacetime is represented by a Lorentzian manifold. The causal relations between points in the manifold are interpreted as describing which events in spacetime can influence which other events.
Minkowski spacetime is a simple example of a Lorentzian manifold. The causal relationships between points in Minkowski spacetime take a particularly simple form since the space is flat. See Causal structure of Minkowski spacetime for more information.
The causal structure of an arbitrary (possibly curved) Lorentzian manifold is made more complicated by the presence of curvature. Discussions of the causal structure for such manifolds must be phrased in terms of smooth curves joining pairs of points. Conditions on the tangent vectors of the curves then define the causal relationships.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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