Author(s)

Thalanayar S. Santhanam

Department of Physics, Saint Louis University, Saint Louis, MO, USA.

In order to maintain momentum conservation in collisions which undergo Lorentz transformation Einstein had to modify the Newtonian definition of momentum to relativistic domains. This resulted in his famous mass-energy equivalence relation E=mc². We suggest here that Lorentz invariance offers a more general form of relativistic momentum which would give a more general expression for kinetic and total energy. We further suggest methods to test the validity of this generalized relativistic mechanics.

Special Theory of Relativity, Lorentz Invariance, Relativistic Momentum, Relativistic Kinetic Energy, Hyperbolic Trigonometric Functions

S. Santhanam, T. (2018) On a Generalization of Einstein’s E = mc². Journal of Applied Mathematics and Physics, 6, 1012-1016. doi: 10.4236/jamp.2018.65088.