Unity as Closure Capacity: The Borwein Threshold

The Borwein integrals demonstrate that mathematical patterns can break at finite points. The breaking condition is unity: when contributions sum to more than 1, the pattern fails. This paper provides a rigorous foundation for closure capacity, connecting the Borwein theorem to the Bootstrap Universe framework. For the canonical odd sequence, exactly 6 = 3! = D! terms fit before breakdown — the dimensional signature of D = 3.