Hyper-geometry · upgrade #2 · sovereign
Sixteen organs on the vertices of a 4-cube. Every organ wired to exactly four others; any organ reaches any other in at most four hops. This replaces the flat chain mesh — and the page re-derives every number below in your browser, from the same gated kernel the tests and CI run.
Deterministic bit-fixing routing on the real kernel — pick two organs and watch the ≤4-hop path.
Pre-registered in predictions.json before measurement; checked live against the kernel now.
Each address is a 4-bit label; neighbours differ by one bit.
This is the topology: addressing, neighbours, routing and the hop-count advantage over a flat mesh, proven on the real kernel. It is the backbone for running the estate's organs as one system — it does not itself move live traffic yet; wiring the organs' actual messages onto these edges is the next step, flagged, not claimed. The κ/geometry framing is private language; the buildable structure is the 4-cube and its routing.