Epistemic Capital and Two-Trap Growth in the AI Era

I develop a growth model in which AI-generated content contaminates the knowledge commons, creating two nested irreversibilities. A derivative trap arises when recombinative output crosses a threshold in the corpus, degrading frontier productivity faster than talent reallocation or R&D subsidies can offset. A governance trap arises because the institutional capacity to distinguish frontier from derivative knowledge–epistemic capital–is itself a depletable stock. In the baseline simulation, the governance trap preempts the derivative trap by roughly nine years, closing the window for effective policy while measured innovation remains positive. The competitive equilibrium features a double wedge: frontier knowledge is undervalued and derivative output overvalued, driving a strict instrument hierarchy in which epistemic investment is a precondition for governance, which is a precondition for R&D subsidies. The welfare cost of inaction is 6.8% in consumption-equivalent term