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How to map coordinates in causal and branchial separation?

In the two paper on the relativistic and quantum properties of the Wolfram models it's not specifically explained how the branching section of the multiway causal graph should be mapped, but only its consequences once a specific metric (from a Minkowskian norm) has been added. The huge problem with this explanation is that there is no single, uniquely acceptable coordinate system for mapping, so changing the coordinates allows you to get whatever you want.

In particular, this is not evident in the paper due to the fact that the examples used have a spatial graph composed of a straight line of points for which a trivial preferential ordering is available.

Is it possible to have an example of how the mapping of coordinates should be done on a causal or branchial graph? In particular, if I have two points of a causal graph, how can I calculate their Minkowskian distance if I have to arbitrarily choose the coordinates of the two points?

POSTED BY: Federico Pasqua
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POSTED BY: Federico Pasqua

Is this thread a duplicate of https://community.wolfram.com/groups/-/m/t/1950038 ?

Anyway, as I explained in your other thread regarding this topic, layered digraph embedding for acyclic graphs is a well-defined optimization problem, and hence the embedding of both causal graphs and multiway evolution graphs into integer lattices is well-defined (so the resultant norm is, as well). Please do let me know if you think I missed something important here, but I believe this is explained in my two papers :)

POSTED BY: Jonathan Gorard
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