Lorentz Factor Calculator — Formula
## The Lorentz Factor
Gamma is the cornerstone of special relativity, appearing in time dilation, length contraction, and relativistic energy.
### Formula
**gamma = 1 / sqrt(1 - beta^2)**
where beta = v/c.
- gamma = 1 at rest
- gamma = 1.15 at 0.5c
- gamma = 7.09 at 0.99c
- gamma approaches infinity as v approaches c
Gamma is the cornerstone of special relativity, appearing in time dilation, length contraction, and relativistic energy.
### Formula
**gamma = 1 / sqrt(1 - beta^2)**
where beta = v/c.
- gamma = 1 at rest
- gamma = 1.15 at 0.5c
- gamma = 7.09 at 0.99c
- gamma approaches infinity as v approaches c
Esempio Risolto
Object at 0.9c.
- beta = v/c = 2.698e8 / 2.998e8 = 0.8999
- beta^2 = 0.8099
- 1 - beta^2 = 0.1901
- gamma = 1 / sqrt(0.1901) = 1 / 0.4360 = 2.294