  We propose a (3+1)D linear set of covariant vector equations, which unify the
spin 0 ``new Dirac equation'' with its spin 1/2 counterpart, proposed by
Staunton. Our equations describe a spin (0,1/2) supermultiplet with different
numbers of degrees of freedom in the bosonic and fermionic sectors. The
translation-invariant spin deegres of freedom are carried by two copies of the
Heisenberg algebra. This allows us to realize space-time supersymmetry in a
bosonized form. The grading structure is provided by an internal reflection
operator. Then the construction is generalized by means of the Majorana
equation to a supersymmetric theory of massive higher-spin particles. The
resulting theory is characterized by a nonlinear symmetry superalgebra, that,
in the large-spin limit, reduces to the super-Poincare algebra with or without
tensorial central charge.
