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Worldline

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// system ready

Worldline

A game on a spacetime diagram: time flows up, light travels at 45°. Catch events inside your light cone, return to your twin and outrun supernova flashes.

  1. 1Time flows from bottom to top, and your path is drawn as a line. Its tilt is your speed; nothing is steeper than 45° (light speed).
  2. 2← → or A/D (or hold the mouse left/right of you) — accelerate that way. Let go and you coast. Space or S — kill your speed.
  3. 3Catch white sparks: only those inside the bright wedge — your light cone — are reachable.
  4. 4Every 32 seconds get back to your twin (green line in the centre). The more you travelled, the younger you are — that earns a bonus. The sixth meeting is the finale.
About, tips and FAQ

About the game

Worldline is a science game about special relativity where you fly right across a Minkowski spacetime diagram. Time flows from bottom to top, your path is drawn as a line, and light always travels at 45°.

The diagram shows your light cone (where you can still get to), your line of simultaneity (it tilts with your speed) and dots on your worldline — the seconds of your own clock. At speed they come less often: proper time is the “length” of a worldline, dτ = dt·√(1 − v²/c²).

Every 32 seconds you must return to your twin — and see the twin paradox for yourself. Beacons teach the relativity of simultaneity and supernova flashes the Doppler effect: you can’t outrun light, but if you run away it arrives redshifted and weak. Play free in the browser on desktop and mobile.

Tips

  • Sparks outside the bright wedge are out of reach — don’t waste time on them.
  • Watch the green meeting cone: once you leave it, you can no longer make it back to your twin.
  • Fly far, fast, and come back — you will age less than your twin and earn a bigger bonus.
  • For beacons A and B, speed up until the blue “now” line is parallel to the A–B line.
  • Run away from a supernova: the faster you flee, the weaker the radiation.

FAQ

What is a worldline?
The path of an object through spacetime. A Minkowski diagram puts distance across and time up. A body at rest draws a vertical line, light a 45° line.
What is a light cone?
All the events you can reach without moving faster than light. Events outside the cone can neither be reached nor influenced.
What is the twin paradox?
A twin who flies away and comes back is younger than the one who stayed. The diagram shows why: a straight worldline is “longer” in proper time than a bent one.
Why is simultaneity relative?
Events are simultaneous for the observer whose “now” line passes through both. The tilt of that line depends on speed, so different observers disagree on what happened first.