Schwinger Effect: Vacuum Pair Production

Quantum field theory says the vacuum is never truly empty: virtual electron-positron pairs constantly flicker in and out of existence, ordinarily recombining too fast to observe. Push a strong enough electric field across that vacuum and some of those virtual pairs tunnel through the mass gap before they can recombine, becoming real particles the field then tears apart — the Sauter-Schwinger effect. This simulator tunes the applied field as a fraction of the true QED critical field E_c = m_e²c³/(eℏ) ≈ 1.3×10¹⁸ V/m and drives both a live rate-vs-field curve and a particle arena from the real, exponentially-suppressed formula Γ/V ∝ E²·exp(−π·E_c/E) — worked in the normalized ratio E/E_c so the genuine exponential survives in floating point instead of silently underflowing to zero. Below roughly a third of the critical field the vacuum stays essentially inert; push past the threshold and electron-positron pairs start visibly tunnelling into existence and accelerating apart along the field direction, exactly the true threshold behaviour QED predicts rather than any faked linear ramp.