Untwisting the double copy: the zeroth copy as an optical seed
A bstract 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 = − θ − iω , 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.
Authors
- Michael J. Falato
- Damien A. Easson (ORCID: https://orcid.org/0000-0002-5963-4142)
Institutions
- Arizona State University (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2026-05-21
- DOI
- https://doi.org/10.1007/jhep05(2026)249
- Primary Topic
- Noncommutative and Quantum Gravity Theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- U.S. Department of Energy
- High Energy Physics