Time Dilation Calculator

Calculate relativistic time dilation from special relativity. See how time slows at speeds near the speed of light.

DILATED TIME
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Lorentz Factor
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Velocity
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Length Contraction
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Relativistic Mass Factor
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What Is Time Dilation?

From Einstein's special relativity: time passes more slowly for moving objects. At 90% light speed, time runs at only 43.6% the stationary rate. This is real and experimentally confirmed - muons from cosmic rays live 10x longer due to their 99.5% c velocity. GPS satellites correct for relativistic time dilation to maintain accuracy.

The Lorentz factor gamma = 1/sqrt(1-v^2/c^2) quantifies the effect. At everyday speeds, gamma is essentially 1. At 87% c, gamma = 2 (time runs half as fast). Effects become dramatic only at substantial fractions of light speed.

Formula

t = γτ = τ / √(1 - v²/c²)

Lorentz Factor

Speed (%c)γ1 year becomes
50%1.151.15 yr
90%2.292.29 yr
99%7.097.09 yr
99.9%22.422.4 yr

FAQ

Is it real or apparent?

Absolutely real. Atomic clocks on jets show measurably less elapsed time. GPS would drift 11 km/day without relativistic corrections. The Hafele-Keating experiment (1971) confirmed both special and general relativistic time dilation.