Lorentz Transformation Calculator
Transform space-time coordinates between reference frames in special relativity
About this calculator
The Lorentz Transformation Calculator converts space-time coordinates between different reference frames moving at relativistic speeds, as described by Einstein's special theory of relativity. This tool is essential for physics students, researchers, and anyone studying relativistic effects like time dilation and length contraction. It demonstrates how measurements of space and time depend on the observer's reference frame when velocities approach the speed of light, making complex relativistic calculations accessible and accurate.
How to use
Enter the initial coordinates (x, t), the relative velocity between reference frames, and specify the direction of motion. The calculator will compute the transformed coordinates using the Lorentz transformation equations. Results show how space and time coordinates change when viewed from different inertial reference frames moving at constant velocities.
Frequently asked questions
What velocity range does this calculator work for?
The calculator works for any velocity up to the speed of light (299,792,458 m/s), though relativistic effects become significant above 10% of light speed.
Why do I get complex numbers at light speed?
At light speed, the Lorentz factor becomes infinite, making transformations undefined. Only massless particles like photons can travel at light speed.
What units should I use for input values?
Use consistent units throughout: meters for distance, seconds for time, and meters per second for velocity. Scientific notation is recommended for large values.