Question

Write an equation for energy and momentum conservation?

Answer 1

In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating any object's rest (intrinsic) mass, total energy, and momentum:

{\displaystyle E^{2}=(pc)^{2}+\left(m_{0}c^{2}\right)^{2}\,}{\displaystyle E^{2}=(pc)^{2}+\left(m_{0}c^{2}\right)^{2}\,}

( 1 )

holds for a system, such as a particle or macroscopic body, having intrinsic rest mass m0, total energy E, and a momentum of magnitude p, where the constant c is the speed of light, assuming the special relativity case of flat spacetime.[1][2][3]

The Dirac sea model, which was used to predict the existence of antimatter, is closely related to the energy-momentum equation.