- Accepted Paper
Projective origin of the spin hydrodynamic attractor and its resurgent repeller
Phys. Rev. D - Accepted 9 November, 2026
DOI: https://doi.org/10.1103/q4lg-1jnj
Phys. Rev. D - Accepted 9 November, 2026
DOI: https://doi.org/10.1103/q4lg-1jnj
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 reconstruct the repellor from the first nonperturbative sector of the attractor expansion and determine the regularity selected transseries parameter and Stokes constant analytically. 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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