Season 1 · Session 03

The Twins

Travel fast enough and you return younger than your twin.

Opens a thread

Read along anyway. These pages stand alone.

Start with the big idea

Here is the most famous consequence of Session 1, and the one that trips everyone up. One twin boards a fast ship, travels out and back, and returns to find the stay-at-home twin has aged more. Not as a trick of perception. Really. At 80% of light-speed, for every 5 years the traveller lives, about 8 years pass at home. So where's the puzzle? If motion is relative, each twin sees the other's clock running slow, so why doesn't it cancel out? Because the situation isn't symmetric. The stay-at-home twin never changes course. The traveller does, accelerating away, turning around, coming back. That turnaround breaks the symmetry, and it's the traveller who comes home younger. This isn't science fiction we can't check. The blunt version was confirmed in 1971 by flying atomic clocks around the world on ordinary airliners. The flown clocks came back measurably behind the ones that stayed put, by exactly the predicted amount. What opens here is that aging is not a universal clock the cosmos keeps for all of us. The amount of time you experience depends on the path you take through spacetime, and two people can take different amounts of time between the very same two moments.

More to see

The Light Clock
A photon bouncing between mirrors reveals that moving clocks tick slow
Length Contraction
Moving rulers shrink, but only along the direction of travel

Key ideas

Asymmetric aging
The travelling twin really does return younger. At 80% of light-speed, 5 years for the traveller is about 8 years at home. That's a genuine difference in elapsed time, not a viewing trick.
Why it doesn't cancel
Motion is relative, but the trip isn't symmetric. Only the traveller accelerates and turns around, and that break in symmetry is what decides who ends up younger.
Proper time
The time a clock actually logs along its own path. Different paths between the same two events can rack up different proper times, and the traveller's path simply logs less.
Tested with real clocks
In 1971, atomic clocks flown around the world on airliners came back behind the clocks left on the ground, by precisely the predicted amount. The paradox is a measured fact.

On your phone

Answer along during the session.

The opening question, the dig-in prompts, and the closing question, on one short form. What you write joins everyone else's on the wall, live, under your username.

Take it further

source Langevin, P., "L'évolution de l'espace et du temps," *Scientia* 10, 31–54 (1911). (First clear statement of the twin scenario.)
source Taylor, E.F. & Wheeler, J.A., *Spacetime Physics*, W.H. Freeman, 1992, pp. 78–82.
source Hafele, J.C. & Keating, R.E., "Around-the-world atomic clocks," *Science* 177, 166–170 (1972). (Empirical confirmation of asymmetric aging.)

In person

Date to be announced. This page stands alone, so read along any time.