论文标题
部分可观测时空混沌系统的无模型预测
Carrollian hydrodynamics from symmetries
论文作者
论文摘要
在这项工作中，我们重新访问了Carrollian流体动力学，这是一种非Lorentzian流体动力学，由于其与近空界限的时空动力学的基本联系，最近引起了人们的关注，我们旨在探索与Carrollian液体保护定律相关的对称性。通过精心构造卡罗尔几何形状，我们通过将公制速度场和公制的子领先组件纳入我们的考虑因素来概括Randers-PapeTrou度量标准，我们认为这两个额外的领域是强制性相位空间变量在Symmetries的Carrollian流体动力学的衍生中。然后，我们提出了一种新的对称概念，称为近核糖差异，并证明这种对称性始终产生一组完整的Carrollian流体动力方程。此外，由于存在新的相空间场，我们的结果因此概括了先前文献中已经提出的结果。最后，还讨论了与近核糖差异及其时间演变相关的NOETHE指控。
In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian hydrodynamics which has recently gained increasing attentions due to its underlying connection with dynamics of spacetime near null boundaries, and we aim at exploring symmetries associated with conservation laws of Carrollian fluids. With an elaborate construction of Carroll geometries, we generalize the Randers-Papapetrou metric by incorporating the fluid velocity field and the sub-leading components of the metric into our considerations and we argue that these two additional fields are compulsory phase space variables in the derivation of Carrollian hydrodynamics from symmetries. We then present a new notion of symmetry, called the near-Carrollian diffeomorphism, and demonstrate that this symmetry consistently yields a complete set of Carrollian hydrodynamic equations. Furthermore, due to the presence of the new phase space fields, our results thus generalize those already presented in the previous literatures. Lastly, the Noether charges associated with the near-Carrollian diffeomorphism and their time evolutions are also discussed.
