Schwinger Pair Production as χ‑Spectral Instability of the Universal Operator Tχ: From Vacuum Current to Avalanche in Strong, Lengthy Fields
Year: 2026
Type: preprint
Abstract: This work develops a unified operator‑spectral framework for vacuum instability in strong electromagnetic fields, demonstrating that all known regimes of strong‑field QED arise as spectral transitions of the Universal Operator Tχ. Classical Schwinger pair production is shown to correspond to single‑layer χ‑tunneling, while one‑loop μ‑suppression reflects χ‑temporal narrowing of the effective tunneling window. The two‑loop 𝑇 4 growth discovered by the MIPT group is identified as the signature of multi‑layer χ‑cascade formation, where photons and secondary pairs populate deeper χ‑layers and amplify spectral flow. As χ‑depth increases, the system approaches χ‑criticality, a universal threshold at which χ‑barriers collapse and χ‑layers lose orthogonality. Crossing this threshold produces a χ‑trap, the operator‑spectral mechanism of avalanche formation and vacuum collapse. Because multi‑loop physics corresponds to χ‑layer expansion, perturbation theory fails near χ‑criticality, requiring full χ‑spectral resummation. The χ‑Spectral Theory further provides a new cosmological interpretation: the early Universe was a high‑depth χ‑configuration where primordial fields triggered χ‑avalanches that generated matter, radiation, baryon asymmetry, and the spectral imprint observed as the cosmic microwave background. Finally, modern strong‑field laser facilities are shown to be χ‑spectral perturbation engines, capable of deforming χ‑geometry and approaching χ‑criticality in laboratory conditions. The theory predicts super‑linear scaling, secondary pair creation, non‑thermal radiation, χ‑coherence, and threshold avalanche behavior. This establishes χ‑Spectral Theory as a unified operator‑geometric foundation for strong‑field physics, cosmology, and experiment.
Author: Anatolii Mukha
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204070595