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Retrocausality: A Toy Model

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center input
A
B
C
left input
A
B
C
right input
A
B
C
This toy system consists of three primitive nodes linked together as shown, each node comprising a meeting point of three edges. Each edge has one of three "flavors": A, B, or C. There are two basic rules that govern the dynamics of this toy system:
1. Each node must be strictly inhomogeneous—that is, comprising three edges of different flavors—or strictly homogeneous—that is, three edges of the same flavor.
2. Successive homogeneous nodes are prohibited.
The flavor of each edge is displayed above and you can manipulate the input (yellow) flavors using the controls.
Interesting behavior emerges from the simple dynamics of the system. There exist some cases in which manipulation of solely the left input is correlated with changes in flavor of the internal (hidden) edges as well as the right output (and likewise for the left/right mirror image case).
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