Mass dimension one fields with Wigner degeneracy: A theory of dark matter

Whatever dark matter is, it must be one irreducible unitary representation of the extended Lorentz group or another. We here develop a formalism mass dimension fermions and bosons spin half, show that they provide natural candidates. By construction, are covariant under space-time translations boosts. However, incorporating rotational symmetry is non-trivial requires introducing two-fold Wigner degeneracy thus doubling degrees freedom for particles anti from two to four. With degeneracy, we have well-defined theory fields half physically distinct Dirac field. They local, positive definite free Hamiltonians. The developed framework also has potential resolve cosmological constant problem, supply energy.