Asymptotic Spinspacetime
High Energy Physics - Theory
2025-04-23 v3 General Relativity and Quantum Cosmology
Abstract
We show that Poincar\'e 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.
Cite
@article{arxiv.2309.11886,
title = {Asymptotic Spinspacetime},
author = {Joon-Hwi Kim},
journal= {arXiv preprint arXiv:2309.11886},
year = {2025}
}
Comments
9 pages, 2 figures; (v2) clarifications and minor revision; (v3) journal submitted version (to appear in Phys. Rev. D);