arXiv cs.AI· Anarya Ray·· 11 小时前AI 评分31
无监督神经算子求解旋转相对论恒星：高保真状态方程推断与脉冲星自旋演化
Unsupervised Neural Operators for Rotating Relativistic Stars: High-Fidelity Equation of State Inference and Pulsar Spin Evolution at Scale
AI 导读
研究者提出物理信息神经算子，可在完全无监督设置下求解轴对称广义相对论流体静力学平衡方程，训练目标仅由偏微分方程约束，实现10³倍加速且精度损失可忽略。该求解器支持自洽考虑旋转的状态方程推断，并让双星演化中反复的恒星结构计算在群体合成中变得计算可行，从而纳入旋转结构与状态方程不确定性来预测脉冲星自旋。
正文 · 原文
Abstract:Observed populations of rotating neutron stars~(NSs) with millisecond-order periods are powerful probes of fundamental physics. Mass-radius measurements inform poorly constrained properties of degenerate nuclear matter, whereas high-fidelity population synthesis connects unknowns in NS formation and binary evolution to large radio-timing surveys. However, repeated structure calculations are prohibitive due to the computational cost of solving the highly coupled partial differential equations of axisymmetric general relativistic hydrostatic equilibrium that govern rotating NS interiors. Non-rotating calculations or approximate rotational corrections can bias equation of state inference and limit the fidelity of population synthesis in tracing the evolutionary history of progenitors and propagating equation of state uncertainties. In this \textit{Letter}, we develop physics-informed neural operators that can solve the axisymmetric problem with high accuracy and negligible computational cost. \textit{Our solvers are trained in a fully unsupervised setting, with the training objective informed solely by the partial differential equations, and achieve a $10^3\times$ speed-up with negligible accuracy loss}. These solvers enable scalable EoS inference that self-consistently accounts for rotation and repeated stellar-structure calculations during binary evolution, making spin predictions that account for rotational structure and EoS uncertainties computationally accessible to population synthesis.
| Subjects: | High Energy Astrophysical Phenomena (astro-ph.HE); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); General Relativity and Quantum Cosmology (gr-qc) |
| Cite as: | arXiv:2611.05790 [astro-ph.HE] |
| (or arXiv:2611.05790v1 [astro-ph.HE] for this version) | |
| https://doi.org/10.48550/arXiv.2611.05790 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Anarya Ray [view email]
[v1]
Wed, 4 Nov 2026 00:57:22 UTC (1,484 KB)
来源：arXiv cs.AI · arxiv.org