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.
Untwisting the double copy: the zeroth copy as an optical seed
2 Pith papers cite this work. Polarity classification is still indexing.
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.
years
2026 2representative citing papers
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
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Non-topological solitons in biadjoint scalar field theory
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.
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Birkhoff rigidity from a covariant optical seed
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.