No, wave-particle duality and rectangular-polar coordinates are not directly related concepts.
Wave-particle duality is a fundamental principle in quantum mechanics that describes the behavior of particles at the quantum level. It states that particles, such as electrons or photons, can exhibit both wave-like and particle-like properties. This means that these particles can behave as waves in some situations (such as interference and diffraction experiments) and as particles in other situations (such as when interacting with detectors).
Rectangular and polar coordinates, on the other hand, are coordinate systems used to describe positions and directions in physical space. They are mathematical tools used to represent different geometries and transformations.
Wave-particle duality is not specifically tied to coordinate systems like rectangular or polar coordinates. It is a more abstract concept related to the nature of particles in quantum mechanics. The behavior of particles as waves or particles is independent of the coordinate system used to describe their positions or directions. Both rectangular and polar coordinates can be used to describe various physical phenomena, but they do not dictate or govern wave-particle duality.