The Universal Theory of Reality (TUR) describes gravity as a discrete flux of gravitons propagating through an absolute spatial lattice. This paper applies the quantized gravitational law of the TUR to the orbital motion of Mercury, showing that the observed perihelion precession (43 arcseconds per century) naturally emerges from the finite propagation speed of gravitons relative to absolute space. Unlike General Relativity, which attributes the effect to spacetime curvature, the TUR explains it through a small transverse component of the gravitational flux caused by the aberration of gravitons. The resulting correction reproduces the observed value with no adjustable parameters, confirming the consistency of the quantum-gravitational model.