If our civilization collapses, extraterrestrial archeologists can look at this and be impressed. Three satellites following the Earth in an equilateral triangle, each 2.5 million kilometers from the other two. Each contains two gold cubes in free-fall. The satellites accelerate just enough so they don't get blown off course by the solar wind. The gold cubes inside feel nothing but gravity.

Lasers bounce between each cube and its partner in another satellite, measuring the distance between them to an accuracy of 20 picometers: less than the diameter of a helium atom! This lets the satellites detect gravitational waves — ripples in the curvature of spacetime — with very long wavelengths, and correspondingly low frequencies.

It should see so many binary white dwarfs, neutron stars and black holes in the Milky Way that these will be nothing but foreground noise. More excitingly, it should see mergers of supermassive black holes at the centers of galaxies as far as... the dawn of time, or whenever such black holes were first formed. (The farther you look, the older things you see.)

It may even be able to see the "gravitational background radiation": the thrumming vibrations in the fabric of spacetime left over from the Big Bang. These gravitational waves were created before the hot gas in the Universe cooled down enough to become transparent to light. So they're older than the microwave background radiation, which is the oldest thing we see now.

It's called LISA - the Laser Interferometric Satellite Antenna. And we're in luck: ESA has just decided to launch it in 2035.

@johncarlosbaez
I remember the laser physicist Bob Beyer talking about this project in the 90s, when LIGO was still under development (some of it in a lab that I shared with a mechanical engineer who was designing vibration isolation for the LIGO mirror supports). Even LIGO seemed a bit crazy to me at the time, and LISA seemed completely absurd. It’s exciting to see it gain traction! Fingers crossed our civilization doesn’t collapse before it launches…. 😬
@jsdodge - in aome ways it's less absurd to do this in space. LIGO is so sensitive it detects logging in nearby forests.

@johncarlosbaez
Absolutely — but I’m a tabletop experimentalist, so the thought of working out all of the details *before launch* is a bit terrifying!

(cf Hubble mirrors, same era)

@jsdodge
Yes, my usual approach of "let me put on the table a bunch of optics and fiddle with them until I figure how to change them to make the experiment work" is unlikely to work particularly well here 😉
@johncarlosbaez