Asymptotic spinspacetime
Abstract
We show that Poincaré invariance directly implies the existence of a complexified Minkowski space whose real and imaginary directions unify spacetime and spin, which we dub spinspacetime. Despite the intrinsic noncommutativity of spin, spinspacetime exhibits mutually commuting holomorphic coordinates. Its twistorial construction derives the Newman-Janis shift property of spinning black holes by massive half-Fourier transforming complexified on shell kinematics, which encode a spinning analog of equivalence principle.
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Acknowledgement
The author would like to thank Nima Arkani-Hamed, Clifford Cheung, Thibault Damour, Jung-Wook Kim, Sangmin Lee, Keefe Mitman, Alexander Ochirov, and Julio Parra-Martinez for discussions or comments. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. J.-H. K. is also supported by Ilju Academy and Culture Foundation.
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Additional details
- United States Department of Energy
- DE-SC0011632
- Ilju Academy and Culture Foundation
- SCOAP3
- Accepted
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2025-04-01
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Division of Physics, Mathematics and Astronomy (PMA)
- Publication Status
- Published