2020/02/29 by Yuriy A. Spirichev, Spirichev, Yuriy A. · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2003.04694
openalex publication_date 2020/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.