General relativity, which is a theory of gravity, does not directly explain wave-particle duality. Wave-particle duality is a concept that arises in the framework of quantum mechanics, which describes the behavior of particles at the microscopic level. On the other hand, general relativity describes the behavior of gravity and the curvature of spacetime on a macroscopic scale.
While general relativity and quantum mechanics are both successful theories in their respective domains, they have not yet been fully reconciled into a single theory known as "quantum gravity." Therefore, at present, there is no unified theory that fully incorporates both general relativity and quantum mechanics.
In the context of wave-particle duality, the behavior of particles as waves is primarily described by quantum mechanics, specifically through wave functions and their probabilistic interpretation. This framework is independent of general relativity and gravity.
Regarding the influence of gravity on particles, including their wave aspects, general relativity predicts that particles will follow the curvature of spacetime caused by massive objects. This means that the trajectory of a particle, whether it is behaving as a wave or a particle, will be affected by gravity.
However, it is worth noting that the effects of gravity on the behavior of quantum particles are generally considered negligible under typical conditions. The influence of gravity becomes significant in extreme situations, such as near black holes or in the early universe, where quantum effects and gravitational interactions are both important.
In summary, while general relativity and gravity play a role in the behavior of particles, including their wave aspects, the explanation of wave-particle duality is primarily addressed within the framework of quantum mechanics. The unification of gravity and quantum mechanics into a consistent theory of quantum gravity remains an active area of research in theoretical physics.