⏳ Einstein's Light Clock & Relativistic Time Dilation

Albert Einstein derived special relativity with an astonishingly simple thought experiment: a "light clock" bouncing a photon between two mirrors. Because the speed of light $c$ is constant for all observers, a moving clock's photon must travel a longer diagonal path—proving that time itself physically slows down for moving objects!

0.80 c (80% Light Speed)
Lorentz Factor (γ): 1.67x
Ship Astronaut Aging: 5.0 Years
Earth Time Elapsed: 8.33 Years
📐 The Pythagorean Proof: The moving photon must travel the diagonal hypotenuse ($c t'$), which is longer than the vertical leg ($c t$). Since $c$ is fixed, $t'$ must be larger—time dilates!