The Gravitational Periodic Table: A ULF Reordering of the Elements by Gravitational Coupling Strength

In Paper XLVI we introduced the Gravitationally Weighted Term Energy T_cg = g_J · T(²ˢ⁺¹L_J) as a measure of how strongly a quantum state couples to the gravitational conversion field in the Unified Light Framework (ULF). Here we apply this principle to the ground states of the first 36 elements (hydrogen through krypton), defining the elemental T_cg as the product of the ground-state Landé g-factor and the first ionization energy. The result is a new map of matter: the Gravitational Periodic Table. The findings are striking. Elements with closed-shell ground states (J = 0) — the noble gases, alkaline earths, zinc, carbon, silicon, and germanium — have T_cg = 0: they are gravitationally quiet at ground state. Half-filled shells (nitrogen, phosphorus, arsenic, chromium, manganese) achieve the highest T_cg values, with nitrogen leading at 29.07 eV. The periodic table, reread through the ULF gravitational lens, reveals a previously invisible architecture: nature preferentially places its most gravitationally active elements at the half-shell positions, and its most gravitationally transparent elements at the closed-shell positions. "Version 2: Abstract and Section 6 revised for consistency with the ULF Honest Reckoning (March 2026).Unsupported empirical claims removed; predictions reframed as forward-looking tests."