We will talk about a physical-space div-curl method for bilinear null forms of the Dirac equation in three space dimensions. The key observation is that spinor null forms select precisely the mixed-mode interactions controlled through one-dimensional charge balance laws. Applying a div-curl estimate to these balance laws, we obtain bilinear $L^2$ spacetime bounds directly from the first-order Dirac equation. In the massless case, these bounds recover the lower-frequency dependence of wave null-form estimates. In the massive case, pseudoscalar interactions on the same energy branch gain a factor K/m over the direct product bound at frequencies K<<m. This gain is absent in scalar interactions. The bilinear estimates also yield bounds for cubic spinorial null forms.
