We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and sigma algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets.
A background independent notion of causality
Capolupo A.;Quaranta A.
2024-01-01
Abstract
We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and sigma algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets.File in questo prodotto:
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