Projective Origin of the Spin Hydrodynamic Attractor and Its Resurgent Repellor

Abstract

We investigate the projective and resurgent structure of a spin hydrodynamic attractor in Bjorken expansion. We show that the nonlinear spin solution family is determined by the projective classes of the two dimensional linear solution space, with the attractor and repellor corresponding to two distinguished projective directions and the linear modes ratio generating the full one-parameter transseries tower. Using the projective transseries structure, we show analytically that the data of repellor are encoded in the Borel-Stokes structure of the attractor expansion. These results provide an explicit analytic realization of resurgence relations that are often extracted through high order expansions and numerical Borel analysis, and yield a unified description of the attractor, the repellor, and their Borel-Stokes connection in minimal causal spin hydrodynamics.

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BibTeX RIS

BibTeX

@misc{zhou2026projective,
  title = {{Projective Origin of the Spin Hydrodynamic Attractor and Its Resurgent Repellor}},
  author = {Qi Zhou and Enke Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19165},
  eprint = {2609.19165},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19165},
}

RIS

TY  - UNPB
TI  - Projective Origin of the Spin Hydrodynamic Attractor and Its Resurgent Repellor
AU  - Qi Zhou
AU  - Enke Wang
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.19165
UR  - https://arxiv.org/abs/2609.19165
AB  - We investigate the projective and resurgent structure of a spin hydrodynamic attractor in Bjorken expansion. We show that the nonlinear spin solution family is determined by the projective classes of the two dimensional linear solution space, with the attractor and repellor corresponding to two distinguished projective directions and the linear modes ratio generating the full one-parameter transseries tower. Using the projective transseries structure, we show analytically that the data of repellor are encoded in the Borel-Stokes structure of the attractor expansion. These results provide an explicit analytic realization of resurgence relations that are often extracted through high order expansions and numerical Borel analysis, and yield a unified description of the attractor, the repellor, and their Borel-Stokes connection in minimal causal spin hydrodynamics.
ER  -

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