Relativistic Momentum
The linear momentum of an object moving at relativistic speeds, scaled by the Lorentz factor γ.
Governing formula
p = γ m₀ v = m₀ v / √(1 - v²/c²)
SI unit
kg·m/s or GeV/c
In depth
Classical momentum p = m v fails at speeds approaching c. As v → c, relativistic momentum approaches infinity, preventing massive particles from reaching or exceeding the speed of light.
Examples in the real world
Particle accelerator magnetic fields requiring immense strength to deflect relativistic high-momentum electron beams.