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Recent theoretical work reporting the construction of a new quantum field ofspin one half fermions with mass dimension one requires that Weinberg's no gotheorem must be evaded. Here we show how this comes about. The essence of theargument is to first define a quantum field with due care being taken in fixingthe locality phases attached to each of the expansion coefficients. The secondingredient is to systematically construct the adjoint/dual of the field. TheFeynman-Dyson propagator constructed from the vacuum expectation value of thefield and its adjoint then yields the mass dimensionality of the field. For aquantum field constructed from a complete set of eigenspinors of the chargeconjugation operator, with locality phases judiciously chosen, theFeynman-Dyson propagator has mass dimension one. The Lorentz symmetry ispreserved, locality anticommutators are satisfied, without violating fermionicstatistics as needed for the spin one half field.

Evading Weinberg's no-go theorem to construct mass dimension one fermions: Constructing darkness