  We show that multiple layered Dirac cones can emerge in the band structure of
properly addressed multicomponent cold fermionic gases in optical lattices. The
layered Dirac cones contain multiple copies of massless spin-1/2 Dirac fermions
at the {\it same}location in momentum space, whose different Fermi velocity can
be tuned at will. On-site microwave Raman transitions can further be used to
mix the different Dirac species, resulting in either splitting of or preserving
the Dirac point (depending on the symmetry of the on-site term). The tunability
of the multiple layered Dirac cones allows to simulate a number of fundamental
phenomena in modern physics, such as neutrino oscillations and exotic particle
dispersions with $E\sim p^N $ for arbitrary integer $N$.

Quantum Physics;Quantum Gases;High Energy Physics - Theory