The Two Equation No-Go Theorem for Negative Energy Warp Drives

This paper presents a minimal no‑go result demonstrating that negative‑energy warp drives cannot satisfy the two governing equations required for physical viability. By combining a quantum inequality with the corresponding Einstein field constraint, the analysis shows that any configuration attempting to sustain macroscopic negative energy necessarily violates one of the stability or coherence conditions implied by the pair. The result establishes a fundamental incompatibility between the stress‑energy requirements of warp‑drive geometries and the limits imposed by quantum field theory, yielding a concise two‑equation proof that such systems cannot exist in any physically allowed state.