We prove a no-go theorem for nonlocal jamming mechanisms under the spectral condition of relativistic quantum field theory. Modeling the action of a jammer as a modification of correlation functions subject to causal localization, we show that any such modification compatible with positive energy must vanish identically. The proof is based on Fourier-analytic arguments and the structure of distributions with spectral support in the forward light cone. In particular, the result follows from the incompatibility between causal support in spacetime and spectral support in momentum space, which forces triviality under mild regularity assumptions. This establishes that nonlocal jamming is impossible within any framework that preserves the spectral condition and causal localization. The result is independent of detailed analytic properties beyond those implied by positive energy. We also discuss a geometric interpretation of this obstruction in twistor space. In that setting, localized modifications correspond to cohomological data with restricted support, suggesting a form of global rigidity. This geometric formulation is presented as a conjectural extension and an open problem. The work connects foundational questions in quantum information (nonlocal correlations and jamming) with structural aspects of quantum field theory, highlighting the constraining role of spectral and analytic principles.
Eduardo Gonzalez-Granda Fernandez (Fri,) studied this question.