Appearance of a Minimal Length in e+e− Annihilation

Experimental data reveal with a 5 σ significance the existence of a characteristic minimal length le=1.57×10−17  cm at the scale E=1.253 TeV in the annihilation reaction e+e−→γγ(γ) . Nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition predicts, for an arbitrary gauge invariant Lagrangian, the existence of spinning charged electromagnetic soliton asymptotically Kerr-Newman for a distant observer with the gyromagnetic ratio g=2 . Its internal structure includes a rotating equatorial disk of de Sitter vacuum which has properties of a perfect conductor and ideal diamagnetic, displays superconducting behavior, supplies a particle with the finite positive electromagnetic mass related to breaking of space-time symmetry, and gives some idea about the physical origin of a minimal length in annihilation