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20132026
most citedThe Newman-Penrose Map and the Classical Double Copy

59 citations · 221 across the 20 of their papers we have counts for

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hep-th2025

The Penrose Transform and the Kerr-Schild double copy

Emma Albertini, Michael L. Graesser, Gabriel Herczeg

There are a number of classical double copies, each providing a prescription for generating solutions to the Maxwell and scalar wave equations from exact solutions of Einstein's eq…

hep-th2024

Taub-NUT Instanton as the Self-dual Analog of Kerr

Jash Desai, Gabriel Herczeg, David McNutt +1

It was recently conjectured that a certain vacuum Kerr-Schild spacetime, which may be regarded as a self-dual analog of the Kerr metric, is equivalent to the self-dual Taub-NUT ins…

hep-th2023

Double Kerr-Schild spacetimes and the Newman-Penrose map

Kara Farnsworth, Michael Graesser, Gabriel Herczeg

The Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein's equations with self-dual solutions of the vacuum Max…

hep-th2022★ 17 cited

An Inner Product for 4D Quantum Gravity and the Chern-Simons-Kodama State

Stephon Alexander, Laurent Freidel, Gabriel Herczeg

We demonstrate that reality conditions for the Ashtekar connection imply a non-trivial measure for the inner product of gravitational states in the polarization where the Ashtekar…

hep-th2021★ 37 cited

Twistor Space Origins of the Newman-Penrose Map

Kara Farnsworth, Michael L. Graesser, Gabriel Herczeg

Recently, we introduced the "Newman-Penrose map," a novel correspondence between a certain class of solutions of Einstein's equations and self-dual solutions of the vacuum Maxwell…

hep-th2020★ 59 cited

The Newman-Penrose Map and the Classical Double Copy

Gilly Elor, Kara Farnsworth, Michael L. Graesser +1

Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories…

hep-th2018★ 2 cited

Contact Quantization: Quantum Mechanics = Parallel transport

G. Herczeg, E. Latini, A. Waldron

Quantization together with quantum dynamics can be simultaneously formulated as the problem of finding an appropriate flat connection on a Hilbert bundle over a contact manifold. C…

hep-th2017★ 21 cited

Contact Geometry and Quantum Mechanics

Gabriel Herczeg, Andrew Waldron

We present a generally covariant approach to quantum mechanics in which generalized positions, momenta and time variables are treated as coordinates on a fundamental "phase-spaceti…