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If so, the missing gamma rays would not require magnetic fields at all.","posed_since":"2012","precise":"For TeV-blazar pair beams with Lorentz factors $\\sim 1e6$ traversing void plasma with $n_e \\sim 1e-7\\,\\mathrm{cm}^{-3}$ and $T \\sim 1e4\\,\\mathrm{K}$, determine whether the nonlinear saturated growth of the electrostatic oblique instability drains beam energy faster than inverse-Compton cooling on the CMB. Answer yes or no from kinetic simulations or analytic theory that includes nonlinear Landau damping and plasma inhomogeneity.","problem_ref":null,"references":"","settled_by":"Particle-in-cell simulations at realistic beam-to-plasma density ratios, extrapolated with a validated nonlinear theory.","status_note":"2025 to 2026 cascade simulations including instability cooling find that the inferred field bounds depend on the assumed saturation parameters.","title":"Do beam-plasma instabilities drain blazar pair beams before they 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