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In this work, we consider a generalization of quantum electrodynamicsincluding Lorentz violation and torsional-gravity, in the context of generalspinor fields as classified in the Lounesto scheme. Singular spinor fields willbe shown to be less sensitive to the Lorentz violation, as far as couplingsbetween the spinor bilinear covariants and torsion are regarded. In addition,we prove that flagpole spinor fields do not admit minimal coupling to thetorsion. In general, mass dimension four couplings are deeply affected whensingular flagpole spinors are considered, instead of the usual Dirac spinors.We also construct a mapping between spinors in the covariant framework andspinors in Lorentz symmetry breaking scenarios, showing how one maytransliterate spinors of different classes between the two cases. Specificexamples concerning the mapping of Dirac spinor fields in Lorentz violatingscenarios into flagpole and flag-dipole spinors with full Lorentz invariance(including the cases of Weyl and Majorana spinors) are worked out.

The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework