paper

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

arXiv:gr-qc/0002005 · doi:10.1016/S0375-9601(00)00578-8

Abstract

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.

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