  In the present essay we review the underlying physical information behind the
first concrete example describing a mass dimension one fermion - namely Elko
spinors. We start the program exploring the physical information by evaluating
the Elko bilinear forms, both within the proper orthochronous Lorentz subgroup
as well as within the VSR theory. As we shall see, such structures do not hold
the right observance of the Fierz-Pauli-Kofink quadratic relations. Thus, by
the aforementioned reasons, we develop a deformation of the Clifford algebra
basis. Such protocol can be accomplished by taking precisely the right Elko
dual structure during the construction of the bilinear forms related to these
spinors. With the appropriated bilinear forms at hands, we search for a real
physical interpretation in order to achieve a deeper understanding of such
spinor fields. Aiming an interesting application, we present a relation
concerning Elko spinors and the neutrino physics via the Heisenberg non-linear
theory by means of a bijective linear map between Elko spinors and the
so-called Restricted Inomata-McKinley (RIM) spinors. Thus, we describe some of
its properties. Some interesting results concerning the construction of
RIM-decomposable spinors emerge from such prescription.
