Lorentz Factor

$\gamma =\frac{1}{\sqrt{1-\frac{v^2}{c^2}}}$

• Called the Lorentz’s factor
• Is a ubiquitous factor for equations in special relativity like for time dilation
• $v$ is the magnitude of the velocity that a reference frame $S^{\prime }$ is moving relative to $S$
• When $v\ll c$, $\gamma \approx 1$
• As $v\to c^{-}$, $\gamma$ increases significantly beyond $1$