Cosmogenesis Requires an Initiating Increment

A structural no-go result applied to the limit case: the onset of the universe. Two prior results are taken as established — that no closed physical description internally fixes the onset of its own new causal chain, and that if a new causal chain begins, its beginning requires an actual added increment of energy (ΔE_init). This paper applies them to cosmogenesis. If the closed physical description of the universe has a beginning, then that beginning is the onset of a new causal chain, and by the prior results it required an actual added initiating increment. The result is structural, not cosmological: it does not depend on any particular cosmological model — Big Bang, inflationary, or otherwise — and applies to any model in which the universe's physical description has an onset at all. The paper does not identify the ontology of whatever supplies the increment, nor characterize its nature, persistence, or interpretation. It establishes only the structural requirement: wherever the closed physical description of the universe has a beginning, that beginning required ΔE_init.