2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184351In this paper, a complex daor field which can be regarded as the square root of space-time metric is proposed to represent gravity. The locally complexified geometry is set up, and the complex spin connection constructs a bridge between gravity and SU(1,3) gauge field. Daor field equations in empty space are acquired, which are one-order differential equations and not conflict with Einstein's gravity theory.20 pages, to appear in Int. J. Mod. Phys. DHigh Energy Physics - Theorytext