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

causality is implicit in the structure of ordinary language, as well as explicit in the language of scientific causal notation. In English studies of...

axiomatic framework where the causal precedence played a critical role. The first explicit proposal of quantising the causal structure of spacetime is attributed...

but the postulated structuring can also be presented using diagrams containing arrows as in Figures 1 and 2. The causal structures imply that specific...

graph there is a causal structure, either an explicit order or time in the example or an order which can be derived from graph structure. This follows because...

all events in the universe, including human decisions and actions, are causally inevitable. Deterministic theories throughout the history of philosophy...

located in causal future (also called the absolute future) in the figure) and past-directed timelike vectors whose first component is negative (causal past...

(null geodesics) yields key information about the spacetime's causal structure. This structure can be displayed using Penrose–Carter diagrams in which infinitely...

individually as "causal loops." The term "time loop" is sometimes referred to as a causal loop, but although they appear similar, causal loops are unchanging...

Two entities are in causal contact if there may be an event that has affected both in a causal way. Every object of mass in space, for instance, exerts...

that the causal structure of a spacetime suffices to reconstruct its conformal class, so knowing the conformal factor and the causal structure is enough...

to causal dynamical triangulation is called causal sets. Both CDT and causal sets attempt to model the spacetime with a discrete causal structure. The...

as all the objects therein as secondary objects from the structures of an underlying causal fermion system. This concept also makes it possible to generalize...

Causal AI is a technique in artificial intelligence that builds a causal model and can thereby make inferences using causality rather than just correlation...

warping of spacetime into permanent superluminal tunnels. The resulting structure is analogous to a wormhole or an immobile Alcubierre drive (and like them...

Relativity 4. The Physical Significance of Curvature 5. Exact Solutions 6. Causal Structure 7. The Cauchy Problem in General Relativity 8. Space–time Singularities...

nature's structure and thereby involves the ontic (concerning reality), how the phenomenon "fits into the causal nexus" of the world (Salmon's causal/mechanical...

chronological relation. p ≺ q {\displaystyle p\prec q} denotes the causal relation. (See causal structure for definitions of I + ( x ) {\displaystyle \,I^{+}(x)}...

"infinite" and complex causal structure behind each disease, and that the disease mechanism would have to encompass the whole structure. White, David E. (1979)...

general relativity, Cauchy surfaces provide boundary conditions for the causal structure in which the Einstein equations can be solved (using, for example,...

general relativity, these coordinates do not directly correspond to the causal structure of events. Instead, the spacetime interval is calculated and classified...

fundamental object of study. The metric captures all the geometric and causal structure of spacetime, being used to define notions such as time, distance,...

Schwarzschild-De Sitter phase of the spacetime. The second singularity lies at the causal past of all events in the space-time, and is a space-time singularity at...

beautiful and the sublime, for Burke, can be understood by means of their causal structures. According to Aristotelian physics and metaphysics, causation can...

mathematical physics, global hyperbolicity is a certain condition on the causal structure of a spacetime manifold (that is, a Lorentzian manifold). It is called...

manifold is also locally (and possibly globally) time-orientable (see Causal structure). Just as Euclidean space R n {\displaystyle \mathbb {R} ^{n}} can...

epidemiology, genetics and related disciplines, causal graphs (also known as path diagrams, causal Bayesian networks or DAGs) are probabilistic graphical...

User interface design Feedback loop (email) Causal loop in the context of time travel or the causal structure of spacetime, that is a sequence of events...

the operators have to be specified. The Wightman axioms restrict the causal structure of the theory by imposing either commutativity or anticommutativity...

mathematical physicist Roger Penrose) is a two-dimensional diagram capturing the causal relations between different points in spacetime through a conformal treatment...