Space●●●●●Difficulty 3 of 5

How gravity slows down time

Your head is aging slightly faster than your feet, and near a black hole the gap becomes enormous.

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Time does not tick at the same rate everywhere. The closer a clock is to a heavy object, the slower it runs. This is called gravitational time dilation. Einstein predicted it, and experiments have confirmed it again and again.

On Earth the effect is tiny. Atomic clocks at different heights drift apart by mere nanoseconds. But it adds up: over Earth's whole 4.6-billion-year history, a clock at the height of Mount Everest would end up about 39 hours ahead of one at sea level. Earth's core, deep in the gravity well, is in effect about two and a half years younger than its surface.

39 h

How far ahead a clock at Everest's height would be after Earth's 4.6 billion years

You rely on this every day. GPS satellites orbit high above us, where gravity is weaker, so their clocks run faster by about 45.8 microseconds a day. Their speed slows them a little, but overall they gain about 38.6 microseconds daily. Left uncorrected, your map position would drift by roughly 11 kilometres every day.

Now go somewhere extreme. A black hole is so compact that not even light escapes it. To someone watching from far away, a clock near a black hole ticks slowly, and anything falling in seems to slow down, turn ever redder, and never quite reach the edge. Yet the person falling in notices nothing special at that moment, and by their own watch they cross the edge after a finite time.

Time, it turns out, is not a universal backdrop. It stretches with gravity.

Quiz me

0/3

  1. 1.Where does a clock tick more slowly?
  2. 2.Overall, how do GPS satellite clocks compare with clocks on the ground?
  3. 3.What does an astronaut falling into a black hole notice at the moment they cross the horizon?

Recap

The deeper you are in a gravity well, the slower your time runs.

Surprising fact · A distant observer sees an object falling into a black hole slow down and redden, never quite crossing the horizon, while the faller notices nothing special.

Sources (9)

No source, no claim. Every fact in this lesson (36 claims) cites at least one of these.

  1. [1]Gravitational time dilation · Wikipedia
  2. [2]Black hole · Wikipedia
  3. [3]Time dilation · Wikipedia
  4. [4]Error analysis for the Global Positioning System · Wikipedia
  5. [5]Hafele–Keating experiment · Wikipedia
  6. [6]Event horizon · Wikipedia
  7. [7]Oppenheimer–Snyder model · Wikipedia
  8. [8]Black holes in fiction · Wikipedia
  9. [9]The Science of Interstellar · Wikipedia
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