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Lorentz Transform Visualizer

Education

Place events on a spacetime diagram and watch their coordinates transform between reference frames as you adjust a relative-velocity slider — including the moving frame's own tilted axes, drawn correctly relative to the light cone. The spacetime interval between any two events comes out identical no matter which frame you compute it from, the single defining property of a correct Lorentz transformation, verified live. A light-cone overlay shows which events can causally affect which, and shows how two distant, unconnected events can even swap apparent time-order depending on your frame.

Open Lorentz Transform Visualizer (lorentz.apps.vtc.com)

About Lorentz Transform Visualizer

Lorentz Transform Visualizer is an interactive learning tool on VTC. Place events on a spacetime diagram and watch their coordinates transform between reference frames as you adjust a relative-velocity slider — including the moving frame's own tilted axes, drawn correctly relative to the light cone. The spacetime interval between any two events comes out identical no matter which frame you compute it from, the single defining property of a correct Lorentz transformation, verified live. A light-cone overlay shows which events can causally affect which, and shows how two distant, unconnected events can even swap apparent time-order depending on your frame. It runs in your web browser and is free to use, and suits students, teachers and self-learners.

Who it's for: Students, teachers and self-learners

Features

Frequently asked questions

What is Lorentz Transform Visualizer on VTC?

Lorentz Transform Visualizer is an interactive learning tool on VTC. Place events on a spacetime diagram and watch their coordinates transform between reference frames as you adjust a relative-velocity slider — including the moving frame's own tilted axes, drawn correctly relative to the light cone. The spacetime interval between any two events comes out identical no matter which frame you compute it from, the single defining property of a correct Lorentz transformation, verified live.

Is Lorentz Transform Visualizer free to use?

Yes. The VTC app catalog lists Lorentz Transform Visualizer at no cost, and it runs in your web browser with nothing to install.

Who is Lorentz Transform Visualizer for and how do I start?

It is aimed at students, teachers and self-learners. To start, open https://lorentz.apps.vtc.com in your browser.