Minkowski空间中物理量的不变量与守恒律
Invariants and conservation laws of physical quantities in Minkowski space
摘要：
证明了Minkowski空间中物理量的不变量和相对论不变守恒律是由二阶4-张量导出的，这些二阶4-张量是4-向量的四维导数、4-向量的张量积和二阶4-张量的内积.得到了Minkowski空间中若干物理量的守恒律方程组的两种形式。四维能量守恒定律-动量结合了三维的能量守恒、动量和角动量定律。四维物理量守恒定律的显式或隐式方程都含有波动部分。本文从四维运动学守恒方程组出发，解释了液体和气体中涡环稳定性的原因。
英文摘要：
It is shown that invariants and relativistically invariant laws of conservation of physical quantities in Minkowski space follow from 4-tensors of the second rank, which are four-dimensional derivatives of 4-vectors, tensor products of 4-vectors and inner products of 4-tensors of the second rank. Two forms of the system of equations of conservation laws for a number of physical quantities in Minkowski space are obtained. The four-dimensional law of conservation of energy-momentum combines the three-dimensional laws of conservation of energy, momentum and angular momentum. The equations of the four-dimensional laws of conservation of physical quantities in explicit or implicit form contain the wave part Based on a system of four-dimensional kinematic conservation equations, the reason for the stability of vortex rings in liquids and gases is explained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
