Laws like Newton's
- 1 August 1966
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (8) , 1341-1348
- https://doi.org/10.1063/1.1705042
Abstract
Instantaneous interaction for n particles is defined in terms of kinematic concepts only. A set of ``laws,'' reminiscent of, but much weaker than, Newton's three laws, is formulated in solely kinematic terms. Invariance under the Euclidean group, the Galilean group, and the special Galilean group is defined, and the most general interactions satisfying the laws, and invariant under these groups, are found. It is shown that they all satisfy Newton's laws. It is shown that the interaction between moving charges cannot be instantaneous and Galilean-invariant.Keywords
This publication has 2 references indexed in Scilit:
- Classical Relativistic Mechanics of Interacting Point ParticlesPhysical Review B, 1965
- XLVII. On mass and farce in Newtonian mechanics—addendum to “Mass I.” and “Mass II”Journal of Computers in Education, 1940