Quantum causal histories

Fotini Markopoulou

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classification ✦ hep-th gr-qc

keywords causalquantumhistoriesevolutionhistoryoperatorstransitivityantisymmetry

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Quantum causal histories are defined to be causal sets with Hilbert spaces attached to each event and local unitary evolution operators. The reflexivity, antisymmetry, and transitivity properties of a causal set are preserved in the quantum history as conditions on the evolution operators. A quantum causal history in which transitivity holds can be treated as ``directed'' topological quantum field theory. Two examples of such histories are described.

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Toller matrices and the Feynman $i\varepsilon$ in spinfoams
gr-qc 2026-04 unverdicted novelty 7.0

Toller matrices T^(±) in causal spinfoam amplitudes satisfy T^(+) + T^(-) = D and admit equivalent definitions via analyticity, iε prescription, and boost-eigenvalue integrals that reproduce the Euclidean-to-Lorentzia...