Molecular candidate attractor · a loop that makes more of itself

Autocatalytic Set

A reaction that catalyzes its own formation — the barest test of a loop that reproduces itself, and of what it takes to keep the loop closed.

Kernel role Molecular · autocatalytic — a candidate attractor (Tier-0-A §4 · T0-M). An authored design claim, not a measurement.

Stack No. A single panel, not a vertical layering of dependent layers.

Substrate Synchronous (α = 1). Temporal order is partly supplied by the clock rather than produced by the system.

The four sovereignty conditions (SOV §7.2) — what this panel supplies, not how it scored

exercised 1 · Recursion lock. The loop A→B→C→A catalyzes its own formation; it either stays closed or it does not, and cutting the feed lets you watch it fail to close and go dark.
exercised 2 · Internal recurcline persistence. The population of the loop either sustains itself against decay or collapses; you can watch whether it holds. Caveat: The update runs synchronously at α=1, so part of the temporal order is supplied by the clock.
out of scope 3 · Boundary retention. No boundary is modeled. Cell states are chemical species, not a membrane, and the lattice wraps.
supplied 4 · Maintenance-bearing continuation. The loop only forms where there is feed — supplied raw substrate. Cutting the feed starves it (this is T0-Φ throughput-conditionality made visible), so persistence is bought with an authored feed, not paid by the structure.

No sovereignty verdict is claimed here or anywhere in this gallery. The Sovereign column is empty, and that emptiness is the honest reading: no panel here has been shown to produce its own order.

This is the deepest question in the gallery, made runnable. Species on the lattice react so that a product helps make more of itself — directly, or around a short loop (A makes B makes C makes A). When the loop closes, a self-sustaining reaction network lights up across the grid. The framework's word for this is autocatalysis — and its central caution rides on top of it: a loop that runs is not the same as a loop that pays its own way.

The feed is supplied — and that is the point

Real molecules run on a feed: a supplied flow of raw substrate and energy. A bare lattice has none, so this panel authors one, visibly — the feed slider below. That authored gate is shown up front, never buried, so an imported gate is never mistaken for an emergent one.

Which is exactly what makes the honest test possible: cut the feed and watch. A loop that keeps closing without feed would be self-holding; a loop that goes dark the moment the feed stops was living on what was handed to it. That collapse is T0-Φ (throughput-conditionality) made visible — not a sovereignty verdict, which stays gated.

The Reaction Loop

A → B → C → A · each catalyzed by the next

species A—

species B—

species C—

feed (supplied)—

loop closed — network self-sustaining on the feed

Synchronous substrate (α = 1); the feed is authored. The loop's motion runs partly on a supplied clock, and its raw material on a supplied feed — both shown, neither hidden. What you can trust is the run: does the loop stay lit, or go dark when the feed is cut? Space is kept honest on Duncan(√5). No sovereignty verdict is claimed — that is gated.

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