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  1. 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…
  2. 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
  3. 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