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Relativistic Playground
Explore time dilation, length contraction, and the speed of light
Velocity Control
drag to change speed0%25%50%75%99.99%
50.00%
Speed of Light
γ = 1.155
Lorentz Factor
Dual Clocks
Watch how time passes differently for the traveler vs. Earth. At 50.0% c, the ship's clock ticks 1.15× slower than Earth's.
Ship Clock (You)
0.0000
YEARS ELAPSED
0y 0m 0d
Tick rate: 1.0000×
Earth Clock
0.0000
YEARS ELAPSED
0y 0m 0d
Tick rate: 1.1547×
Key Formulas
γ = 1 / √(1 - v²/c²)
Lorentz Factor — the key to everything
Δt = γ × Δt₀
Time Dilation — moving clocks run slow
L = L₀ / γ
Length Contraction — moving objects shrink