← Theory of RelativityPart 1 — Special Relativity · 06

The One Speed Everyone Agrees On

▶ DRILL

Throw a ball from Vika's flying spaceship and George, on the ground, measures it going faster — the ship's speed adds to the throw, exactly like the skateboard drill. But when Vika shines a light, George measures it at exactly light-speedno matter how fast the ship is moving — the ship's speed simply does not add on. Light has one speed everyone agrees on, and that single stubborn fact is the rock the whole rest of relativity is built on. Use the Explain it for a kid / a grown-up switch to set the depth.

EXPLAIN IT FORsimple words, names & pictures
SHIP SPEEDvery fast
SLOW-MOnormal
SHOW
⚾ Vika throws a BALL✗ they disagreelight-speedlightVikaGeorge0light-speed👧 0.20c🧑 0.70c🔦 Vika shines a LIGHT✓ they agreelight-speedVikaGeorge0light-speed👧 1.00c🧑 1.00c
⚾ THE BALL — speeds add up
George measures the ball at 0.70c — the ship's speed plus Vika's throw. He and Vika get different numbers.
🔦 THE LIGHT — one speed for all
However fast the ship goes, George and Vika both measure the light at exactly light-speed — the ship's speed never adds on.

The big idea — light has one speed everyone agrees on, no matter who is moving or how fast. Balls (and everything else) pick up the speed of whatever throws them; light flat-out refuses. This one stubborn fact is the rock the rest of relativity stands on. (We drew the ball impossibly fast so you could see it — real balls are far, far slower than light.) How can light ignore the ship's speed? Speeds combine in a sneaky way — that's another drill. And because light won't bend, space and time have to instead — that's what the next drills show.

# postulatelight travels at c for every inertial observer, independent of the source's motion (Einstein, 1905)
# setupball throw speed u = 0.20 c (fixed) · ship speed v = 0–0.70 c · ground-measured ball = u + v, light = c
# scalethe ball is drawn impossibly fast so it is visible alongside light; the everyday rule w = u + v is exact only at low speed (see the velocity-addition drill)
# sourcec = 299,792,458 m/s · Michelson–Morley (1887) found no dependence on Earth's motion