In[]:=
SimpleGraph
Out[]=
In[]:=
ResourceFunction["TuringMachineCausalGraph"][2506,{1,{{},0}},30]
Out[]=
In[]:=
Graph[%,GraphLayout"SpringElectricalEmbedding"]
Out[]=
In[]:=
Graph[ResourceFunction["TuringMachineCausalGraph"][2506,{1,{{},0}},100],GraphLayout"SpringElectricalEmbedding"]
Out[]=
In[]:=
ResourceFunction["LogDifferences"][ResourceFunction["RaggedMeanAround"][Values@ResourceFunction["GraphNeighborhoodVolumes"][ResourceFunction["TuringMachineCausalGraph"][2506,{1,{{},0}},100]]]]
Out[]=
{1.491
±
0.020
,1.87±
0.07
,1.87±
0.14
,1.78±
0.22
,1.66±
0.31
,1.6±
0.4
,1.4±
0.5
,1.3±
0.6
,1.2±
0.7
,1.0±
0.8
,0.9±
0.9
,0.9±
0.9
,0.6±
1.1
,0.1±
1.2
,-0.8±
1.6
,-2.1±
2.1
,-3.1±
3.1
,-5.±
5.
,-8.±
4.
}In[]:=
ListLinePlot[%,PlotRange{0,2}]
Out[]=
In[]:=
CausalDiamondDimensionEstimator[causalGraph_Graph,startVertex_,endVertex_]:=Module[{causalDiamond,d},causalDiamond=TransitiveClosureGraph[Subgraph[causalGraph,Intersection[VertexInComponent[causalGraph,endVertex],VertexOutComponent[causalGraph,startVertex]]]];If[EmptyGraphQ[causalDiamond],Infinity,Replace[d,FindRoot[{EdgeCount[causalDiamond]/((VertexCount[causalDiamond])^2)(Gamma[d+1]*Gamma[d/2])/(4Gamma[3d/2])},{d,1,0,Infinity}]]]]
In[]:=
With[{ag=ResourceFunction["TuringMachineCausalGraph"][2506,{1,{{},0}},30]},CausalDiamondDimensionEstimator[ag,First[VertexList[ag]],Last[VertexList[ag]]]]
Out[]=
1.05293
In[]:=
With[{ag=ResourceFunction["TuringMachineCausalGraph"][2506,{1,{{},0}},30]},CausalDiamondDimensionEstimator[ag,Echo@First[VertexList[ag]],Echo@Last[VertexList[ag]]]]
All these events are timelike separated....
Causal Graphs
Causal Graphs
What de-duplication is appropriate?
What de-duplication is appropriate?
[Observer is local in branchial space?]
[Observer is local in branchial space?]
Branchlike fusion (cf. spacelike fusion with eyes)
Branchlike fusion (cf. spacelike fusion with eyes)
[ fusion in the case of ants.... ]
MWTM universality
MWTM universality
A given state entrains other states that are near it in branchial space....
Motion of head in physical space....
[branchial coordinate is an additional “state variable”]
Motion of head in physical space....
[branchial coordinate is an additional “state variable”]
s=1 DTM
s=1 DTM
Initial conditions
Initial conditions