Where it stands

The current question is whether the existing equations can close a complete reproductive cycle. The routes tried so far came back negative: no complete cycle along any of them. That is a scoped result, not a proof of impossibility.

The next step is a different world: a Gray–Scott reaction–diffusion medium, where the resource is an explicit, depletable field. A first one-dimensional experiment is specified, with its success criteria fixed in advance. It is proposed, not started.