Chapter 13 · Fame & Legacy

Death, Brain & Legacy

Most scientists are remembered by other scientists. Einstein is remembered by everyone. His name means genius; his face is a global symbol; his ideas underpin technologies he never imagined. And in one bizarre final chapter, even his brain went on a journey of its own.

The strange tale of Einstein's brain

Iconic portrait of an older Albert Einstein
The face that became shorthand for genius. Einstein bequeathed the rights to his image to the Hebrew University of Jerusalem.Image: Orren Jack Turner, Princeton, N.J.. Public domain, via Wikimedia Commons (Source)

Einstein wished to be cremated quietly, with no fuss and no shrine. His body was cremated within hours and his ashes scattered at an undisclosed location. But there was a twist: during the autopsy, the pathologist Thomas Harvey removed Einstein's brain — apparently without clear permission from Einstein or his family (accounts differ on whether the family later agreed) — convinced it might hold the secret of his genius.

Harvey kept the brain, sliced into hundreds of pieces, for decades, occasionally mailing samples to researchers. Studies have suggested mild anatomical peculiarities, but no study has ever "explained" his genius. The episode is now a cautionary tale in scientific ethics as much as a biographical curiosity.

Living physics, a century on

Einstein's theories were not museum pieces. They are working tools — and they keep being spectacularly confirmed.

GPS

Satellite navigation only works because it corrects for both special and general relativity. Without these corrections, the satellite clocks would run about 38 microseconds a day fast.

Lasers & solar cells

His 1916 idea of stimulated emission underlies every laser; his light-quantum explanation of the photoelectric effect underlies solar cells and digital image sensors.

Gravitational waves

Predicted 1916, detected 2015. The LIGO observatories now "hear" black holes colliding across the universe.

Black hole image

In 2019 the Event Horizon Telescope imaged a black hole's shadow — matching what general relativity predicts.

Bose–Einstein condensates

The exotic state of matter he co-predicted in 1924 was finally made in 1995, opening a new field of ultracold physics.

Quantum technology

The "spooky" entanglement he objected to now underpins quantum computing research and quantum cryptography.

Worked out: GPS without Einstein

GPS satellites circle the Earth at an altitude of about 20,200 km, once every 11 hours and 58 minutes or so, at about 3.9 km/s. Two effects put their atomic clocks out of step with clocks on the ground. Special relativity: because the satellites move fast, their clocks – seen from Earth – run slow by about 7.2 microseconds a day. General relativity: up there gravity is weaker, and clocks run faster, by about 45.8 microseconds a day. Together, the satellite clocks gain about 38.6 microseconds a day on ground clocks. That is why their frequency standards are set slightly slow before launch: 10.22999999543 MHz instead of 10.23 MHz.

Your prediction

Without correction, the clocks of the GPS satellites go a little wrong every day. After one week, how far does the light path of this clock error reach – the distance light travels in the time that has built up?

Interactive · GPS

GPS without the relativity correction

– µs
Satellite clocks ahead (+) or behind (−) ground clocks
– km
Light travel distance c · Δt – the error in every range measurement to a satellite

The map is a sketch: grid and rings show the scale only.

Answer

BAbout 81 kilometres.

The speed slows the satellite clocks by about 7.2 microseconds per day (special relativity); the weaker gravity makes them run faster by about 45.8 microseconds (general relativity). Together that is 38.6 µs per day, about 270 µs after a week. In that time light travels about 81 km. That is why the satellite clocks are set to run very slightly slower before launch.

For the curious: the calculation

−7.2 µs + 45.8 µs = +38.6 µs per day. After 7 days: 7 · 38.6 µs ≈ 270 µs. Light path: 270 µs · 0.2998 km/µs ≈ 81 km.

Source: Wikipedia: Error analysis for the Global Positioning System

Challenges0 of 2 done

  • Let only the speed act and switch gravity off: now the clocks run slow.open
  • Both effects on: after how many days is the light path of the clock error over 100 km for the first time? Set exactly that number of days.open

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You often read that without this correction GPS would be about 11 km off after one day (the English Wikipedia gives 11.4 km; c · 38.6 µs comes to about 11.6 km). That is the light travel distance of the clock error, c · Δt – the amount by which every single range measurement to a satellite would come out too short. The real position error is more complicated: because the error would hit all satellites equally, the receiver would absorb it together with the offset of its own clock. According to the GPS expert Pratap Misra the position estimate would be unaffected – but the time would be 38 microseconds off after one day, a deal-breaker when 100-nanosecond accuracy is expected.

Sources:
  1. Wikipedia: Error analysis for the GPS – Relativity – −7.2 µs, +45.8 µs and 38.6 µs per day, 11.4 km per day, 10.22999999543 MHz, 3,874 m/s.
  2. Wikipedia: Global Positioning System – altitude about 20,200 km, orbital period about 11 h 58 min.
  3. N. Ashby, “Relativity in the Global Positioning System”, Living Reviews in Relativity 6, 1 (2003) – net fractional frequency offset 4.4647 × 10⁻¹⁰ (≈ 38.6 µs per day).
  4. P. Misra, “Inside the box: GPS and relativity”, GPS World, 9 October 2023.

A name that outgrew the man

In 1999, Time magazine named Albert Einstein its "Person of the Century." Element 99 is einsteinium. His birthday, 14 March, falls on Pi Day. His likeness sells everything from posters to plush toys. "Einstein" is the word we reach for whenever we mean the smartest person in the room.

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scientific papers (with ~150 other works)
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einsteinium — the element named for him
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Time's "Person of the Century"
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years of relativity, still unbeaten
The important thing is not to stop questioning. Curiosity has its own reason for existing.Albert Einsteininterview, 1955

Perhaps that is the truest legacy. Not a formula or a prize, but a way of being in the world: relentlessly curious, gleefully irreverent, unwilling to accept that anything was beyond understanding. Einstein taught a whole century that the universe is knowable — and that wondering about it is one of the finest things a human being can do.

Sources:
  1. Wikipedia: Albert Einstein — "Legacy".
  2. Einsteinium; Time, "Person of the Century" (1999).