Lorentz Factor Calculator

Find the relativistic Lorentz factor γ.

Lorentz factor γ 1.667

Formula: γ = 1 ÷ √(1 − v²/c²)

Step-by-step with your numbers:

1. Values used:

2. Velocity (fraction of c) = 0.8 c

4. Lorentz factor γ = 1.667

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The Lorentz factor quantifies relativistic time dilation and length contraction.

The math behind it

γ = 1 ÷ √(1 − v²/c²). It is ~1 at low speeds and grows without bound as v approaches c.

At 0.8c → γ ≈ 1.667.

What does γ = 2 mean?

Time runs half as fast and lengths halve, at about 0.866c.