What does this equation mean?

This is a live argument, not a settled one, and it deserves the same falsifier discipline this article has applied to the population dispute. The claim, stated as a prediction: if AI-driven automation of research tasks is making a material, positive contribution to $g_A$ through the $g_C$ channel described above, that contribution should show up as a rising, not merely stable, count of significant scientific or technical discoveries directly and substantially attributable to AI systems performing research tasks rather than merely accelerating human-directed computation, sustained over multiple years rather than a single showcase result. The clearest indicator available so far is a vendor claim that deserves exactly that label: Google DeepMind reports that its GNoME system identified 2.2 million candidate crystal structures, of which 380,000 were assessed as sufficiently stable for further investigation, a scale the company describes as equivalent to “nearly 800 years” of prior human-paced materials discovery, against a baseline of roughly 20,000 stable crystals found by all human experimentation to date and roughly 48,000 more from prior computational screening methods, with 736 of the predicted materials reportedly synthesized independently by external researchers in concurrent work [ 13 ] . Horizon: through 2032. The prediction is disconfirmed if AI-attributed contributions of this kind fail to appear in additional, independently verified domains beyond materials screening — drug candidate discovery, mathematical proof search, novel experimental design — over the intervening years, or if the rate of independently verified, practically consequential AI-originated discoveries plateaus rather than continuing to rise; it is supported if the pattern generalizes and compounds. Nothing in the evidence gathered for this article settles the question either way today, and Aghion, Jones, and Jones’s own paper is a model of what the arithmetic would look like if the mechanism holds, not proof that it does.