Causality and micro-causality in curved spacetime
نویسندگان
چکیده
منابع مشابه
Spacetime topology from causality
We prove that a globally hyperbolic spacetime with its causality relation is a bicontinuous poset whose interval topology is the manifold topology. This provides an abstract mathematical setting in which one can study causality independent of geometry and differentiable structure.
متن کاملNon-Commutative Topology for Curved Quantum Causality
A quantum causal topology is presented. This is modeled after a non-commutative scheme type of theory for the curved finitary spacetime sheaves of the non-abelian incidence Rota algebras that represent ‘gravitational quantum causal sets’. The finitary spacetime primitive algebra scheme structures for quantum causal sets proposed here are interpreted as the kinematics of a curved and reticular l...
متن کاملSpacetime causality in the study of the Hankel transform
We study Hilbert space aspects of the Klein-Gordon equation in two-dimensional spacetime. We associate to its restriction to a spacelike wedge a scattering from the past light cone to the future light cone, which is then shown to be (essentially) the Hankel transform of order zero. We apply this to give a novel proof, solely based on the causality of this spatio-temporal wave propagation, of th...
متن کاملLocal Causality in a Friedmann-Robertson-Walker Spacetime
A local, deterministic, and realistic model within a Friedmann-Robertson-Walker spacetime with constant spatial curvature (S) is presented which describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remot...
متن کاملCausality, Conditional Exogeneity, and Granger Causality
We relate notions of structural causality and conditional exogeneity as de ned in White and Chalak (2006) (WC) to the concept of Granger causality. We show that given conditional exogeneity, structural non-causality implies retrospective Granger non-causality, an extension of the classical Granger (1969) non-causality condition. We also provide a form of converse to this result and tests for re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 2007
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2007.08.073