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This paper claims that local space-time curvature can non-triviallycontribute to the properties of orbital angular momentum in quantum mechanics.Of key importance is the demonstration that an extended orbital angularmomentum operator due to gravitation can identify the existence of orbitalstates with half-integer projection quantum numbers "m" along the axis ofquantization, while still preserving integer-valued orbital quantum numbers "l"for a simply connected topology. The consequences of this possibility areexplored in depth, noting that the half-integer "m" states vanish as requiredwhen the locally curved space-time reduces to flat space-time, fully recoveringall established properties of orbital angular momentum in this limit. Inparticular, it is shown that a minimum orbital number of "l = 2" is necessaryfor the gravitational interaction to appear within this context, in perfectcorrespondence with the spin-2 nature of linearized general relativity.

Local Space-Time Curvature Effects on Quantum Orbital Angular Momentum