When reading about the 2015 Nobel prize and how this led to the possibility of the existence of sterile neutrinos I am told that:
"(...) three active neutrinos $\nu_e$, $\nu_\mu$, $\nu_\tau$, are superpositions of three massive neutrinos $\nu_1 $, $\nu_2 $ ,$\nu_3 $ with respective masses $m_1$, $m_2$, $m_3$"(...)
I know that there are only 3 neutrinos in the standard model, but the way this is written it makes it sound like there are 6 neutrinos, and 3 of them are consequences of the interaction of the other 3. I know this must be incorrect, but I don't know why.
I have further read about neutrino oscillations and superposition of flavour states and neutrino masses but I don't understand this quantum superposition of mass states of neutrinos and how these do not represent the existence of extra physical particles. I understand that it works like the superposition of waves, but I don't see how this works with particles (and I also get confused due to the particle-wave duality).