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

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
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 \(\rho=-\theta-i\omega\), 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.

fields

gr-qc 1 hep-th 1

years

2026 2

representative citing papers

Birkhoff rigidity from a covariant optical seed

gr-qc · 2026-04-10 · conditional · novelty 6.0

In spherical vacuum gravity, the covariant optical seed collapses to the real monopole R=±r, and its Kerr-Schild reconstruction is uniquely the Schwarzschild family.

citing papers explorer

Showing 2 of 2 citing papers.

  • Non-topological solitons in biadjoint scalar field theory hep-th · 2026-06-25 · unverdicted · none · ref 63 · internal anchor

    Biadjoint scalar theory admits a family of non-topological solitons carrying U(1) charge, time-dependent like Q-balls, stable in truncation, with finite localized energy.

  • Birkhoff rigidity from a covariant optical seed gr-qc · 2026-04-10 · conditional · none · ref 15 · internal anchor

    In spherical vacuum gravity, the covariant optical seed collapses to the real monopole R=±r, and its Kerr-Schild reconstruction is uniquely the Schwarzschild family.