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Time runs slower near a black hole, and we've measured it

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Time runs slower near a black hole, and we've measured it

Gravity slows clocks. Near a black hole the effect is extreme, and in 2018 astronomers caught it in starlight from the Milky Way's central black hole.

Verified · NASA Science

Time runs slower near a black hole. General relativity says mass warps time as well as space, so the deeper a clock sits in a gravitational well, the slower it ticks compared with one farther out. Close to a black hole’s event horizon, the boundary beyond which not even light can escape, the effect becomes extreme.

The same physics works, very gently, on Earth. In 2010, NIST physicists compared two aluminium atomic clocks and showed that one raised just 33 centimetres ticks faster than the one below. The gap is tiny, about 90 billionths of a second over a 79-year lifetime, but it is the same effect a black hole magnifies.

We know it happens near a black hole thanks to the Milky Way’s central one, Sagittarius A*, which packs around four million Suns into a region no larger than our solar system. In May 2018, astronomers using ESO’s Very Large Telescope tracked the star S2 as it swung within 20 billion kilometres of it at almost 3% of the speed of light. Its light arrived stretched to longer wavelengths, a gravitational redshift, by exactly the amount Einstein’s theory predicts. That stretching is time dilation seen from outside: the star’s light, like a clock, is slowed by the black hole’s gravity.

It was the first time this departure from Newton’s simpler theory of gravity had been seen in a star orbiting a supermassive black hole. Reinhard Genzel and Andrea Ghez, who led the two teams that spent decades tracking those stars, shared the 2020 Nobel Prize in Physics.

A common misreading is that time “stops” at the horizon. That is how things look from far away: to a distant observer, an object falling toward the horizon appears to slow down until it seems completely frozen. The falling object, by contrast, notices nothing odd about its own clock.

4M Suns
mass of Sagittarius A*
33 cm
rise that speeds a clock
~3%
of light speed: S2 at closest pass

Sources & references

4 references

Well-established. Corroborated by 4 independent sources.

1 NASA Science Space agency In addition to gravity stretching and squashing objects, another strange phenomenon that a traveler would observe close to a black hole is something called time dilation, in which time passes slower closer to the black hole than further away. science.nasa.gov ↗
2 European Southern Observatory intergovernmental observatory This is the first time that this deviation from the predictions of the simpler Newtonian theory of gravity has been observed in the motion of a star around a supermassive black hole. eso.org ↗
3 National Institute of Standards and Technology (NIST) Government metrology lab Described in the Sept. 24 issue of Science , the difference is much too small for humans to perceive directly—adding up to approximately 90 billionths of a second over a 79-year lifetime—but may provide practical applications in geophysics and other fields. nist.gov ↗
4 The Nobel Prize Prize institution Around four million solar masses are packed together in a region no larger than our solar system. nobelprize.org ↗
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