  In this paper, we aim to explore the interplay between neutrinos and quantum
gravity, illustrating some proposals about the use of these particles as probes
for the supposed quantized structure of spacetime. The residual signatures of a
more fundamental theory of quantum gravity can manifest themselves modifying
the free particle dispersion relations and the connected velocity. In neutrino
sector these supposed effects can modify the time of flight for astrophysical
particles with different energies and can affect the usual neutrino oscillation
pattern introducing species depending perturbations. We will highlight how
perturbations caused by non-standard interactions in the solar neutrino sector
can mimic the presumed quantum gravity effects. In fact, the mathematical
formulation of non-standard interactions is equivalent to that of CPT-odd
perturbations. We will, therefore, emphasize the need to identify the nature of
different contributions in order to disentangle them in the search for quantum
gravity effects. As a final point we will discuss the possibility to detect in
the neutrino sector decoherence effects caused by the quantum gravity supposed
perturbations. By reviewing current experimental constraints and observations,
we seek to shed light on the intricate relationship between neutrinos and
quantum gravity, and discuss the challenges and future directions in this
fascinating field of research.
