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Conservation Of Momentum
Linked via "relativistic energy"
$$\mathbf{p}{\text{rel}} = \frac{m0 \mathbf{v}}{\sqrt{1 - \frac{v^2}{c^2}}} = \gamma m_0 \mathbf{v}$$
where $\gamma$ is the Lorentz factor. The conservation law still holds: the total relativistic momentum of an isolated system is conserved. This conservation is intrinsically linked to the conservation of relativistic energy via the four-momentum vector.
In QFT, momentum is quantized and associated with the translational symmetry of spacetime, formalized by [Noe… -
Relativistic Energy Momentum Relation
Linked via "relativistic energy"
$$E^2 = (pc)^2 + (m_0 c^2)^2$$
Here, $E$ represents the total relativistic energy, $p$ is the magnitude of the relativistic momentum vector $\mathbf{p}$, $m_0$ is the invariant rest mass (often denoted as the invariant mass), and $c$ is the speed of light in vacuum.
Components and Interpretation -
Relativistic Kinematics
Linked via "relativistic energy"
Relativistic Energy
The total relativistic energy ($E$) of a particle is given by:
$$
E = \gamma m_0 c^2