CausalMultiwaySystem[1]

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LayeredGraphPlot[CausalMultiwaySystem[4]]

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CausalMultiwaySystem[2,"CausalGraph"]

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CausalMultiwaySystem[2,"BranchialGraph"]

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CausalMultiwaySystem[1,"BranchialGraph"]

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CausalMultiwaySystem[2,"BranchialGraph"]

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“Fake” global time: how many causal elements there are (which is also the coordinate time in the default foliation). This determines the volume elements.

Coordinate time: time in an arbitrary foliation.

Coordinate time: time in an arbitrary foliation.

CSG (Rideout, Sorkin): Covariance, Markovian evolution, Bell causality.

In ordinary CST: covariance <=> measure along all paths between a given pair of causets is the same.

Covariance: Causal invariance

CausalMultiwaySystem[3]

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CausalMultiwaySystem[3,"IncludeStatePathWeights"True,VertexLabels"VertexWeight"]

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LayeredGraphPlot[CausalMultiwaySystem[4],AspectRatio1/2]

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9/10 metric: conformal structure

1/10 metric: volume

Uncertainty relation between conformal structure and volume.

1/10 metric: volume

Uncertainty relation between conformal structure and volume.

We should investigate topological structure of higher-order corrections to fluid dynamics equations (Burnett, super-Burnett, etc.)???