You are using a browser not supported by the Wolfram Cloud
Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.
I understand and wish to continue anyway »
WOLFRAM NOTEBOOK
{"A",{"B","A"},"B"}
In[]:=
ResourceFunction["MultiwaySystem"][{"A""BBB","BB""A"},{"A"},8,"StatesGraph","IncludeStepNumber"True]
Out[]=
In[]:=
ResourceFunction["MultiwaySystem"][{"A""BBB","BB""A"},{"A"},4,"EvolutionEventsGraph","IncludeStepNumber"True]
Out[]=
In[]:=
ResourceFunction["WolframModel"][{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}},{{1,2},{1,3}},4,"StatesPlotsList"]
Out[]=
In[]:=
ResourceFunction["WolframModel"][{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}},{{1,2},{1,3}},4,"StatesList"]
Out[]=
Here within each state, the edges are spacelike separated.
In[]:=
ResourceFunction["MultiwaySystem"]["WolframModel"{{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}}},{{{1,2},{1,3}}},2]
Out[]=
In[]:=
ResourceFunction["MultiwaySystem"]["WolframModel"{{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}}},{{{1,2},{1,3}}},3]
Out[]=
One possibility: edges of different possible states exist at different z coordinates
In[]:=
UndirectedGraph[Rule@@@#]&/@ResourceFunction["WolframModel"][{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}},{{1,2},{1,3}},4,"StatesList"]
Out[]=
In[]:=
LineGraph/@%
Out[]=
In[]:=
UndirectedGraph[Rule@@@#]&/@ResourceFunction["WolframModel"][{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}},{{1,2},{1,3}},7,"StatesList"]
Out[]=
In[]:=
LineGraph/@%
Out[]=
The correct version would be to construct an undirected hypergraph as the dual object.
Dual graph to space: previous connections are nodes; previous nodes are now hyperedges
Now we can make physical space be x-y coordinates, and branchial space be z coordinates
Events list has timelike+spacelike separated events ; we also want branchlike separated events
In the multiway case, the list of destroyer events becomes a list of sublists
In the multiway case, the list of destroyer events becomes a list of sublists
Complete List of Possible Edges
Complete List of Possible Edges