The concept of gravitons as particles of gravitational interaction is still hypothetical, and their existence has not been confirmed by experimental evidence. Gravitons are postulated within certain theories, such as quantum gravity, to describe the quantum nature of gravity.
If gravitons were to exist and follow the principles of quantum mechanics, it is plausible that they could exhibit wave-particle duality, similar to other quantum particles like photons and electrons. This means that in certain situations, gravitons could exhibit both particle-like and wave-like behavior.
However, it's important to note that the specific properties and behavior of gravitons are still speculative because a complete and experimentally verified theory of quantum gravity is yet to be developed. In general relativity, which is the current theory of gravity, the curvature of spacetime is described by the distribution of matter and energy, rather than by the behavior of particles.
The precise nature of gravitons and their role in curving spacetime would require a comprehensive theory that combines quantum mechanics and gravity, such as a successful theory of quantum gravity. Such a theory is an active area of research in theoretical physics, but there is no widely accepted or experimentally confirmed theory at this time.
Therefore, while it is interesting to speculate about the potential properties of gravitons, their existence, characteristics, and precise connection to the curvature of spacetime remain uncertain until further scientific advancements are made.