In boiling soup, molecules collide chaotically and react. But if you measure how their concentrations change, patterns emerge. This is how carbon chemical networks work — mixtures of molecules that spontaneously 'cook' information, turning each reaction into an elementary computation. Previously they were used only for modeling nature.
The mathematical project Ripple, using rigorous computer proofs (in the Lean 4 language), confirmed that even in chaos, if you wait for equilibrium and generate enough entropy (disorder), such a network will compute any real number. For example, Apery's constant ζ(3) — it can't be obtained with a simple formula, only an infinite sum. The chemical soup 'cooked' it in a test tube. Unlike silicon chips, such a processor works without electricity — on reagents alone.
Apery's constant ζ(3) ≈ 1.2020569 defied exact expression for decades: it can only be obtained by an infinite sum. Chemical networks found a workaround, 'cooking' the number in an equilibrium solution.