About: This tool uses the Lorentz transformation equations from special relativity to convert coordinates (x, t) from one frame of reference to another moving at velocity v. It's useful for understanding events (like a firecracker explosion) from different observers.
Physics Background: The Lorentz transformation is used in Einstein's special relativity to explain how space and time measurements differ for observers moving relative to each other. It ensures the speed of light remains constant and shows how time and length are affected by motion.
Equations:
γ = 1 / √(1 - v²/c²)
x′ = γ(x - vt)
t′ = γ(t - vx/c²)
(And the inverse for going from x′, t′ → x, t)