Withdrawn

Every element in the periodic table has a characteristic "grip" on its outermost electrons — some hold them tightly (noble gases, unreactive), others barely at all (alkali metals, highly reactive). This paper shows that this grip is not an empirical observation requiring lookup tables or fitted parameters, but an exact and unavoidable consequence of two things already established: that the fine structure constant α emerges as a geometric property of the electromagnetic field interacting with the vacuum, and that stable confinement of any field requires its compactness to reach a specific critical value. From those two results alone, a single formula falls out with no choices made. That formula correctly orders every chemical family — why noble gases are inert, why alkali metals get more reactive as you go down the group, why halogens are always electronegative, why transition metals behave similarly to each other, and why heavier noble gases like xenon form compounds while lighter ones like neon do not. The period structure of the periodic table itself — the reason it has rows at all — emerges as the point where one closure surface fills and the field is forced to jump outward to the next. That jump factor is predicted analytically and agrees with observation across all five periods. The chemistry of the elements is the geometry of electromagnetic closure.