Part 5 of "Measuring is a mess"

CEPIER

"Pierce", scrambled

How would you tell an alien how tall you are?

Feet are someone's foot. Meters are a slice of the Earth. Seconds are a slice of a day. None of it means anything to someone who has never been here. CEPIER is built from two things every alien has too: an atom, and the speed of light.

Your height

or
I'm 56 cesium cepier tocks tall. How tall are you?
each mark is one cesium cepier tock, about 3.26 cm

The idea

It's less of a unit and more of an idea to ditch arbitrary numbers. It's also element agnostic. A cesium cepier tick is the amount of time that passes each tick of a cesium atom, and a hydrogen cepier tick is the amount of time that passes each tick of a hydrogen atom. And the distance is simply how far light travels in a tick.

A tick is time: one tick of the atom. A tock is length: how far light gets in one tick. No 24, no 60, no splitting the Earth into ten million pieces. Pick the atom for the job, the way you'd pick millimeters or kilometers today.

1 cesium cepier tick
one tick of cesium-133, the atom in atomic clocks
0.000000000108782775 s
9,192,631,770 in a second
1 cesium cepier tock
how far light goes in that tick
3.2612 cm
about 1.28 inches
1 hydrogen cepier tick
one tick of hydrogen, the 21 cm line
0.000000000704024 s
1,420,405,752 in a second
1 hydrogen cepier tock
the length on the Pioneer plaque
21.106 cm
about 8.3 inches

Convert anything

Someone already tried

In 1972 NASA launched Pioneer 10 with a plaque for whoever finds it. Next to the drawing of two people is the number 8, in binary, in units of the hydrogen line: 8 × 21 cm, about 5 ft 6 in. That's a hydrogen cepier tock, before it had a name. Binary is pretty arbitrary too, though.

Where this could go

Stick to cesium, since atomic clocks already use it. Use different atoms for different fidelities. Use logarithmic scales instead of prefixes like kilo and milli. Count days up the way we already count years, so "Tuesday" is never ambiguous. Get rid of leap years, and February. Maybe that's getting ahead of myself.