Particle-wave duality is not directly related to particles propagating through space in a helical path. The concept of particle-wave duality arises from the observations and experimental results in quantum mechanics, which show that particles can exhibit both wave-like and particle-like behaviors.
In quantum mechanics, particles are described by wavefunctions, which are mathematical functions that represent the probability distribution of finding a particle at different locations. These wavefunctions can exhibit wave-like properties, such as interference and diffraction, which are characteristic of waves.
The wave-particle duality arises from the fact that the behavior of particles, such as electrons or photons, is not fully explained by classical physics. Instead, quantum mechanics provides a more accurate description of their behavior. According to quantum mechanics, particles can exhibit wave-like behaviors in certain experiments, such as the double-slit experiment, where particles can interfere with themselves and create an interference pattern.
The concept of spin and angular momentum in quantum mechanics is related to the intrinsic properties of particles, such as electrons. Spin is a fundamental property of particles, but it is not directly responsible for the wave-particle duality. Spin refers to the intrinsic angular momentum of a particle and is not related to its motion through space.
So, while particles can have spin and angular momentum, the wave-particle duality is a distinct concept that arises from the behavior of particles at the quantum level, as described by quantum mechanics.