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  • This is a meter.

  • But it’s not THE meter.

  • The meter isn’t a physical object, locked away in a secret vault somewhere.

  • The meter is a math problem.

  • Take the distance light travels in one second and cut it into this many chunks, that’s

  • how we define a meter.

  • But why that number?

  • Why not this many chunks?

  • Or this many?

  • It’s the fundamental unit of the metr-ic system, a unit built into the very foundations

  • of physics, so surely something in the basic laws of the universe explains why a meter

  • is… a meter.

  • But that’s not the case.

  • The real story is full of discovery, deception, and a lot of people getting their heads cut

  • off.

  • [OPEN]

  • 1789. The French people have a lot of problems with the monarchy, and now Louis was gonna hear

  • about it.

  • In their airing of grievances the people included demands to fix France’s system of weights

  • and measures.

  • It was a confusing mess.

  • Every town and trade basically measured things how they wanted.

  • This was not a new problem.

  • The Ancient Egyptian cubit was said to be the length of a man’s arm, and the English

  • inch was three pieces of barley laid end to end.

  • But whose arm and whose barley?

  • In France, a pound of bread sometimes really was lighter than a pound of lead.

  • Its people were using some 250,000 different measures, which made trade difficult and cheating

  • easy.

  • A pint of beer in Paris?

  • Two-thirds the size of a pint in St. Denis!

  • If ever there were an injustice worthy of REVOLUTION, it was that.

  • France’s revolutionary spirit wanted united and equal measures for a united and equal

  • people, but French savants, being the Enlightened dudes they were, set their goal even higher:

  • a universal measure, for all nations, derived from nature itself.

  • Rulers?

  • Who needsem.

  • The basic unit of length would be called themeter”, and all other units derived from

  • that.

  • The divisions of those units would be decimal, and given prefixes from Greek and Latin so

  • the whole thing would sound old and important.

  • All that was left to do was invent the meter.

  • One smart choice was the length of a pendulum swinging once per second.

  • Thomas Jefferson even agreed to make some measurements, and join America into this new

  • metric system”.

  • Problem solved, right?

  • Wrong.

  • First they had to agree on the length a second.

  • Some French savants wanted to throw out the day we use, and replace it with a decimal

  • day.

  • Since no one could agree on a second, the pendulum meter was dropped.

  • In its place, a meter defined as one ten millionth the distance between the North Pole and the

  • equator, along a meridian passing through France.

  • England and the USA refused to accept a measure based on a French line andwell, we all

  • know how that turned out.

  • In 1791, two men set out to make the meter.

  • Their plan?

  • Measure latitude at the ends, then meet in the middle.

  • Do a little multiplication and youve measured the Earth!

  • Unfortunately they don’t make 1000-km tape measures.

  • Instead, Méchain and Delambre would mark a series of triangles across France.

  • Walking off just one side of a triangle in the north and south, they could use those

  • angles to calculate the length of every link in the chain, proving trigonometry IS good

  • for something after all.

  • This was their tool.

  • The repeating circle was two telescopes mounted on a ring.

  • Zero in on two distant markers, and measure the angle between them.

  • But a single measurement was guaranteed to have some error.

  • The repeating circle was rotated and remeasured, rotated and remeasured, each time adding the

  • new angle to the previous sum.

  • Divide by the number of measurements, and the average angle would be more precise than

  • any single measurement.

  • These would be the most precise surveying measurements ever attempted, giving the world

  • an error-free meter.

  • Unfortunately, as soon as they set off, things in France went to H-E-double hockey sticks.

  • Revolution was in full swing, the King was in jail (then dead), and France was at war

  • with basically everyone (but especially Spain).

  • In city after city people assumed the scientists with the funny tools were royal spies, and

  • each time they barely kept their heads.

  • But hooray!

  • There was a revolution against the revolution, and after seven years of struggle, the triangles

  • were connected.

  • In 1799, pages and pages of calculations were reviewed, the distance from the north pole

  • to the equator was determined, and a platinum meter was cut, one ten-millionth as long.

  • Mankind finally had a definitive, universal measure derived from nature.

  • There was just one problem: The meter was, and is, wrong.

  • To the calculate the meter, they needed an accurate measure of earth’s curvature.

  • Since Newton, scientists knew Earth’s cross-section was an ellipse, not a circle.

  • But the results of the meter expedition claimed Earth was twice as squished as scientists

  • had thought.

  • It wasn’t, they just picked a bad line to measure.

  • Worse, the curve isn’t smooth.

  • This was a big discovery, but it also invalidated the whole premise of the meter.

  • Earth is too irregular to be its own measure.

  • But rather than admit 7 years of wasted time, the new triangulations were combined with

  • older measures for Earth’s curvature, and the meter ended up beingan estimate, a

  • physical object, the opposite of what it was supposed to be.

  • (Plus, it turns out one of the guys fudged as bunch of his data, but that’s a whole

  • other story) Of course, today we don’t measure the meter based on a hunk of metal.

  • Or do we?

  • In 1960, the meter was redefined as a number of atomic wavelengths, but that was calculated

  • to match the old platinum bar.

  • And in 1983, the meter was redefined again, as the distance light will travel in 1/299,792,458ths

  • of a second, but that number was also chosen to match the old hunk of metal.

  • Based on satellite measurements of Earth’s average curvature, today we know that ten

  • million meters from pole to equator would leave you about 2 km shy.

  • The meter was invented as a perfect ratio, but even our meter, based on the speed of

  • light, carries an old error, two tenths of a millimeter shorter than it should be.

  • Of course it’s still *a* meterbecause we say it is.

  • But if you shake the basic laws of the universe, a meter doesn’t fall out.

  • It’s just another invention.

  • But as inventions go, it was revolutionary.

  • Stay curious.

This is a meter.

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