I am a computer scientist, I was wondering how General Relavity or motion 
on EM fields can be modelled using discrete complex networks (ie. graphs) 
including only local interactions. For example we can model discrete local 
graph contraction on presence of mass or electric charge, and we can 
compute minimal paths on the graph to compute trayectories. As motion can 
be described as minimizing some integrals on the continous model I have 2 
questions:

i) Does the continous model assumes that nature or simulation can only be 
made with non-local computations [of minimal integral paths computed 
globally] ?
ii) If we device some way to locally update minimal distances on the graph 
using Dijkstra's algorithm, that means that the discrete model is more 
sound?
ii) As one starting point in the graph can have multiple destinations, is 
this more similar to quamtum mechanics where the unique trayectory is 
replaced with a quantum amplitude?

Cheers,
José.

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