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

TL;DR

This paper proposes a gravitational modification to wave-particle duality at the Planck scale, suggesting neutrino oscillations freeze due to matter wavelength saturation, implying new meanings for quantum and gravity in quantum gravity theories.

Contribution

It introduces a gravitationally-induced modification to de Broglie duality, revealing a saturation effect at the Planck scale that impacts neutrino oscillations.

Findings

Matter wavelength saturates at the Planck length

Neutrino oscillations freeze at the Planck scale

Implications for quantum gravity theories

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.