Wave-Particle duality at the Planck scale: Freezing of neutrino oscillations

A gravitationally-induced modification to de Broglie wave-particle duality is presented. At Planck scale, the gravitationally-modified matter wavelength saturates to a few times the Planck length in a momentum independent manner. In certain frameworks, this circumstance freezes neutrino oscillations in the Planck realm. This effect is apart, and beyond, the gravitational red-shift. A conclusion is drawn that in a complete theory of quantum gravity the notions of quantum'' and gravity’’ shall carry new meanings – meanings, that are yet to be deciphered from theory and observations in their entirety.