Belousov-Kernel Series
A sibling experiment lineage to the Bio-Kernel Series, on a different substrate. Where Bio-Kernel (eco-N.N) climbs toward endogenous ignition from an agent-based ecosystem, the Belousov-Kernel Series (bzk-N.N) climbs toward the same telos from an excitable-medium field, the cellular-automaton analogue of the Belousov–Zhabotinsky reaction in a thin Petri-dish layer.
The two lineages share the destination, moving persistence from exogenous cabling into endogenous closure, and traverse it from orthogonal starting substrates. They do not share a namespace: bzk-N.N is parallel to eco-N.N, not nested in it, and BZK is distinct from Bio-Kernel's BK. They do share a substrate neighborhood: both run on Duncan's Neighborhood, in which one cell influences another by distance alone, never direction, so the lattice supplies no preferred axis and an excitable wave that should be round comes out round, not square.
BZK, Belousov-Kernel Series. Origin: the excitable-medium / Belousov–Zhabotinsky reaction (thin-layer Petri-dish waves, nucleation followed by autocatalytic propagation). Telos: endogenous ignition and maintenance, carrying an excitable substrate across the SOV line from attractlet-class trigger waves into recursive closure. Baseline classification: Stage A is attractlet-class (externally fed; dies without feed). Axes: stage suffix -A / -B / -C (ladder rungs toward sovereignty, never reused); variant suffix a short descriptive tag. Distinctness: BZK ≠ BK (Bio-Kernel); bzk-N.N is a distinct lineage from eco-N.N. A Belousov nucleation is a T0-P+T0-σ threshold-triggered wave, not a kernel IST-ignition (I-Pop); conflating the two is the BAEP category error this lineage exists to work against.
Experiments
BZK 1.0 → The Excitable Baseline (Stage A)
A Greenberg–Hastings-style excitable cellular automaton reproducing the BZ phenomenon: nucleation at pacemaker sites followed by autocatalytic target/spiral propagation. Classified honestly as attractlet-class (T0-P+T0-σ; externally fed; relaxes without feed). Built as the trunk the lineage branches from, the well-understood before-picture against which later stages add the missing primitives. Ignition test deferred to Stage B. Live sim →