Appearance of a Minimal Length ine+e-Annihilation

Abstract

Experimental data reveal with a 5σsignificance the existence of a characteristic minimal lengthle=1.57×10-17 cm at the scaleE=1.253TeV in the annihilation reactione+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 ratiog=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.