Special relativity · Interactive
Minkowski spacetime explorer
See how space and time coordinates transform between inertial observers.
Natural units: c = 1
Spacetime diagram · Frame SHorizontal: x · Vertical: ct
Event · x3.00
Event · ct3.80
Boosted · x′1.27
Boosted · ct′2.66
Lorentz transformation:
x′ = γ(x − βct) · ct′ = γ(ct − βx). The light cone stays fixed for all inertial frames.Events & trajectories
Keep several worldlines and events on the same spacetime diagram.
Add a spacetime event
Click an event in the list or on the diagram to select it. Drag to reposition.
Add a particle trajectory
Worldline: x = x₀ + (v/c)[ct − ct₀]. Values |v/c| > 1 depict spacelike, nonphysical particle tracks.
Diagram uses c = 1. Hold Shift and drag the canvas to pan; use +/− to zoom. The original cyan event E remains available.