Physics
Relativity
Lorentz factor, time dilation, length contraction and energy.
Physics
Lorentz factor
γ = 1 / √(1 − β²)→PhysicsRelativistic time dilation
t = γt₀→PhysicsRelativistic length contraction
L = L₀√(1 − β²)→PhysicsRelativistic kinetic energy
Eₖ = (γ − 1)mc²→PhysicsLorentz factor from speed
γ = 1/√(1−v²/c²)→PhysicsTime dilation from speed
t = t₀/√(1−v²/c²)→PhysicsLength contraction from speed
l = l₀√(1−v²/c²)→PhysicsRelativistic velocity addition
u = (u₁+u₂)/(1+u₁u₂/c²)→PhysicsRelativistic momentum
p = γmv→PhysicsRelativistic kinetic energy from speed
Eₖ = (γ−1)mc²→PhysicsEnergy–momentum relation
E = √(p²c²+m²c⁴)→PhysicsTotal relativistic energy
E = γmc²→PhysicsRest energy
E₀ = mc²→