Lorentz factor

The Lorentz factor (also called the gamma factor) expresses how time intervals, lengths, and other physical quantities transform for a body while it moves.

Notation:

  1. \(c\) (c) is speed_of_light

Conditions:

  1. The speed is less than speed of light.

  2. Special-relativistic effects only (flat space-time, no gravity).

Links:

  1. Wikipedia – Definition

lorentz_factor

lorentz_factor of the body.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

speed

speed of the body.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

definition

gamma = 1 / sqrt(1 - v^2 / c^2)

Latex:
\[\gamma = \frac{1}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}\]