标题： 诺特对称性在牛顿力学和宇宙学中的应用 显示英文标题

标题： Noether Symmetry in Newtonian Dynamics and Cosmology

摘要： 宇宙学原理与牛顿力学之间的联系是通过诺特定理对称性（NS）来表述的。 [1] 表述了连接两个具有相对加速度的不同参考系的对称性，而没有使用作用量公式。 在这里，这种对称性来源于由势能{\phi }控制的经典粒子系统。 具有相应对称性的作用量产生了一个守恒的诺特流（NC）。 对于守恒流的坐标系统的均匀行为导致了弗里德曼方程。 显示英文摘要

摘要： The connection between the Cosmological Principle and the Newtonian Dynamics is formulated via Noether Symmetry (NS). [1] formulates the symmetry that connects two different frames with relative acceleration, without an action formulation. Here, this symmetry is derived from a classical particles system that governed by the potential {\phi}. The action with the corresponding symmetry yields a conserved Noether Current (NC). Homogeneous behavior for the coordinate system on the conserved current yields the Friedmann equations.