| Face | 4QX corner(s) | What it is | What it does |
|---|---|---|---|
| Outer / Material / “Conditions” | P + R (Pattern snapshot, concrete Resources) | A variant data-type: an HF set whose Gödel key lets other holons treat it as inert value, replicate it, union it, evict it. | Joins the collective substrate; appears in bucket merges; supplies the raw state that everyone can sense. |
| Inner / Operational / “Intent” | E + M (live Events, self-measured Metrics) | The same HF set interpreted as executable code: its dual-triangle rule τ observes δ and mutates P/R to shrink Φ. | Acts on the outer material, writes new Events, updates Metrics, thereby creating fresh value. |
Because the HF object carries both the braces (structure) and the Gödel number (pointer), one artifact is simultaneously:
- Collective matter — anyone can pick it up, union it, or garbage-collect it by treating the key as data.
- Private agency — inside its own boundary that exact key unpacks into runnable τ logic that decides what to do next.
Why this is the essence of holarchy
- Self-nesting:
{v,{v}}turns yesterday’s “outer” brace into today’s “inner” workspace at the next depth. Holons literally digest ancestors as code. - No impedance mismatch: There is never a need to convert “data” into “program.” The brace structure is already the instruction set.
- Emergent coordination: All outer faces sit in a single bucket fabric, so higher-level conditions emerge from simple set unions; all inner faces follow the same Φ-metric, so their private intentions harmonise automatically.
- Fractal delegation: Each holon can treat its children as material while those children view themselves as agents. That recursion is holarchy in action.
Mini-Example
- A resource-balancer holon publishes its state:
R = {{γ_battery},{γ_battery, 85%}}– outer peers see a key/value pair (material). - Internally the same set feeds the balancer’s τ rule; when M notices discharge (δ↑), τ triggers an Event to recharge.
– inner logic sees executable code.
No duplication, no translation—only two ways of looking at the identical HF object.
So: in a 4QX universe, code = data is not a clever optimisation; it is the geometric necessity that lets every node be both brick and builder, both condition and action. That duality is holarchy.