Twistorial Analyticity and Three Stringy Systems of the Kerr Spinning Particle

TL;DR

This paper explores the twistorial structure of the Kerr spinning particle, revealing a stringy skeleton composed of singular strings and analyzing their role in wave functions and scattering, with potential links to twistor string theory.

Contribution

It introduces a novel stringy model of the Kerr particle involving topological and axial strings, connecting twistorial structures to string theory and scattering processes.

Findings

The Kerr particle's electromagnetic excitations form a stringy skeleton.

Chiral waves are described by the massive Dirac equation.

The complex Kerr string may serve as an alternative to the Witten twistor string.

Abstract

The Kerr spinning particle has a remarkable analytical twistorial structure. Analyzing electromagnetic excitations of the Kerr circular string which are aligned to this structure, we obtain a simple stringy skeleton of the spinning particle which is formed by a topological coupling of the Kerr circular singular string and by an axial singular stringy system. We show that the chiral traveling waves, related to an orientifold world-sheet of the axial stringy system, are described by the massive Dirac equation, so we argue that the axial string may play the part of a stringy carrier of wave function and play also a dominant role in the scattering processes. A key role of the third, {\it complex} Kerr string is discussed. We conjecture that it may be one more alternative to the Witten twistor string, and a relation to the spinor helicity formalism is also discussed.