it is desirable to have a lower bound $\mathcal{B}$ which is state independent and constructed only from the local geometry; such a bound is known as an *absolute QWEI*. Currently, for the Dirac field, absolute QWEIs are known only for the conformally invariant [@vollick] and massive field in two-dimensions [@dawson] and the massive field in four-dimensional flat spacetime [@fewster; @mistry]. In this discussion we state and prove the first absolute QWEI for the massive Dirac field in arbitrary four-dimensional globally hyperbolic spacetime. The argument is an adaptation of Fewster’s earlier work with Verch [@fewster; @verch] and Dawson [@dawson; @fewster] and is to be viewed as a companion to the analogous result for the Klein-Gordon field [@fewster; @smith].

Our result may be stated as follows: Let $({\mathcal{M}},g)$ be a classical curved four-dimensional spacetime. Here $\mathcal{M}$ is a four-dimensional smooth manifold (assumed Hausdorff, paracompact and without boundary) with a Lorentz metric $g_{ab}$ of signature ($+---$). Furthermore, we require $({\mathcal{M}},g)$ to be *globally hyperbolic*, that is ${\mathcal{M}}$ contains a Cauchy surface. In addition we assume that an orientation, time orientation and spin structure have been chosen. It may be shown that on such a background one may formulate the quantum Dirac field and 