Derivation of the relativistic momentum and relativistic equation of motion from Newton's second law and Minkowskian space-time geometry

Autor: Rębilas, Krzysztof
Rok vydání: 2013
Předmět:
Zdroj: Apeiron, Vol. 15, No. 3, July 2008
Druh dokumentu: Working Paper
Popis: Starting from the classical Newton's second law which, according to our assumption, is valid in any instantaneous inertial rest frame of body that moves in Minkowskian space-time we get the relativistic equation of motion $\vec{F}=d\vec{p}/dt$, where $\vec{p}$ is the relativistic momentum. The relativistic momentum is then derived without referring to any additional assumptions concerning elastic collisions of bodies. Lorentz-invariance of the relativistic law is proved without tensor formalism. Some new method of force transformation is also presented.
Databáze: arXiv