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arXiv · 1801.07159

Timelets on causal sets

Roman Zapatrin
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Abstract

Dual structures on causal sets called timelets are introduced, being discrete analogs of global time coordinates. Algebraic and geometrical features of the set of timelets on a causal set are studied. A characterization of timelets in terms of incidence matrix of causal set is given. The connection between timelets and preclusive coevents is established, it is shown that any timelet has a unique decomposition over preclusive coevents. The equivalence classes of timelets with respect to reascaling are shown to form a simplicial complex.

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Roman Zapatrin. 2018-01-18. Timelets on causal sets. https://doi.org/10.13140/rg.2.2.19132.13448

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