In , scientist Louis De Broglie proposed that the same kind of duality must be relevant to the matter based on the notion that light and all other electromagnetic radiation may be considered to have either a particle or a wave character.
There are various experiments performed to prove the dual nature of light waves.
Any matter particle with momentum has a corresponding wavelength , according to his theory.
The De Broglie Wavelength formula is . Where, is the Planck constant.
The wavelength of a particle with momentum is given by .
Therefore, yes, wave-particle duality is a theory. According to wave-particle theory, light and matter have the property of both wave and particle.