This thesis focuses on exploring the explanatory and discovery potential of the four-neutrino and enhanced neutrino magnetic and electric dipole moments hypotheses when
applied to the NOvA/T2K discrepancy and the XENON1T anomaly, respectively. Firstly,
we study the effect of a very light (sub eV) sterile neutrino on the NOvA/T2K anom-...
In this thesis I present the theoretical work on Fermionic surface states, and bulk Bosonic collective excitations in topological superfluids and superconductors. Broken symmetries in topological condensed matter systems have implications for the spectrum of Fermionic excitations confined on surfaces or topological defects.
For the B-phase of superfluid 3He, which...