English

Untwisting the double copy: the zeroth copy as an optical seed

High Energy Physics - Theory 2026-05-26 v1 General Relativity and Quantum Cosmology

Abstract

We present a historical optical foundation for stationary vacuum Kerr--Schild spacetimes on a flat background and interpret it in modern double-copy language. In this setting, a complex optical seed ρ=θiω\rho=-\theta-i\omega, built from the expansion and signed twist of the Kerr--Schild congruence, is harmonic, while its inverse obeys an eikonal equation and reconstructs the congruence algebraically. Thus the local stationary geometry is organized by a single complex seed. In the overlap of the stationary Kerr--Schild and Petrov type--D Weyl double-copy framework, this seed furnishes a normalized representative of the zeroth-copy data, while its real part yields the Kerr--Schild profile and its gradient generates the single-copy gauge-field strength. The construction provides, without recourse to twistor methods, a spacetime realization of how a single complex seed builds the congruence, organizes the associated spacetime and gauge fields, and encodes the geometric content of the zeroth copy.

Cite

@article{arxiv.2604.05103,
  title  = {Untwisting the double copy: the zeroth copy as an optical seed},
  author = {Damien A. Easson and Michael J. Falato},
  journal= {arXiv preprint arXiv:2604.05103},
  year   = {2026}
}

Comments

8 pages

R2 v1 2026-07-01T11:56:00.624Z