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Physics 1933

The Redshift of Extragalactic Nebulae

Fritz Zwicky

Galaxies in a cluster swarm too fast for their stars to hold them — most of the mass is unseen.

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In depth · the introduction

A cluster of galaxies is spinning apart so fast that the galaxies we can see have nowhere near enough gravity to hold it together — yet somehow it holds.

The big idea

In 1933 Fritz Zwicky weighed a swarm of galaxies in two completely different ways. He added up the light of all the galaxies to estimate how much matter they contained. Then he watched how fast those galaxies were buzzing around inside the cluster, and used gravity to work out how much mass it would take to stop them flinging themselves into space.

The two answers should have matched. Instead the gravity answer was hundreds of times bigger. Something enormous and invisible was supplying the missing pull. Zwicky called it dunkle Materie — dark matter.

How it came about

Zwicky was a brilliant, abrasive Swiss-American physicist at Caltech, famous for both his ideas and his feuds. Studying the Coma cluster — a great city of galaxies — he noticed the galaxies' speeds were wildly spread out, around a thousand kilometres per second apart.

A loose swarm moving that fast should have evaporated long ago, like a jar of gnats with the lid off. For it to survive, far more gravity was needed than the visible stars could provide. Zwicky's conclusion was decades ahead of its time, and the astronomy community mostly shrugged. Only in the 1970s, when Vera Rubin measured stars whipping around the edges of spiral galaxies far too quickly, did the same invisible mass become impossible to ignore.

Why it mattered

Zwicky had stumbled onto the fact that the glowing stars and galaxies we can see are a minority of what the universe is made of. Most of the matter is some unknown stuff that neither shines nor blocks light — we know it only by its gravity. Everything from how galaxies form to the shape of the whole cosmos depends on it, and after ninety years we still don't know what it is. It is one of the biggest unanswered questions in all of science.

A way to picture it

Imagine watching dry leaves whirl around in what looks like still air. The leaves are flying so fast they should scatter — yet they keep circling, as if trapped in an invisible whirlwind. You can't see the wind, but you can infer it from how the leaves move. Zwicky read the galaxies the same way: their speeds betrayed a vast unseen mass, the wind you cannot see.

Interactive virial-mass widget: a disc of galaxies with velocity arrows that lengthen as you raise the velocity-dispersion slider σ, beside two bars comparing the stellar mass with the much taller virial (total) mass M = 5σ²R/G; an Expert panel reads σ, the radius R, the virial mass in solar masses, the mass ratio, and the dark fraction.

Where it sits

Zwicky's clusters and Vera Rubin's spinning galaxies are two windows onto the same dark matter. It sits beside the other great cosmic puzzles in this Library — Hubble's expanding universe, whose galaxies dark matter helped assemble, and the dark energy found in 1998 that drives that expansion ever faster. Together, ordinary matter, dark matter, and dark energy make up the universe's full inventory — and we understand only the smallest slice.

The original document
Original source text
Fritz Zwicky · Helvetica Physica Acta 6 (1933): 110–127 · "Die Rotverschiebung von extragalaktischen Nebeln"
The puzzle in the data
Zwicky examines the radial velocities of the nebulae in the Coma cluster, inferred from their redshifts. They scatter enormously about the cluster's mean: the line-of-sight velocities differ from one another by of order a thousand kilometres per second.
Weighing the cluster
If the cluster is a bound, settled system, the virial theorem fixes its mass: the average kinetic energy of the galaxies must balance their mutual gravitational binding. Putting the observed velocity spread and the cluster's size into that balance yields a total mass — and the number comes out far larger than the mass one would estimate by simply counting the light of all the galaxies.
To produce the observed spread of ~1000 km/s, Zwicky finds, the average density of the Coma system would have to be at least some four hundred times greater than the density inferred from its luminous matter.
The conclusion
Falls sich dies bewahrheiten sollte, würde sich also das überraschende Resultat ergeben, dass dunkle Materie in sehr viel grösserer Dichte vorhanden ist als leuchtende Materie.
(In translation: if this should be confirmed, we would arrive at the surprising result that dark matter is present in far greater density than luminous matter.) — the first time a large mass discrepancy in a galaxy cluster is named as "dunkle Materie."
Norman Bridge Laboratory of Physics, California Institute of Technology · 1933