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Lesson 1 · Stars

How Stars Live and Die

A star is a bomb that never goes off, held together by its own weight. This is the story of the balance, and of how it ends.

Every second, inside the Sun
600 million tonnes
of hydrogen are fused into helium. About 4 million tonnes of that vanish completely, turned into light and heat by E = mc². It has been doing this for 4.6 billion years.

Work that out over the Sun's lifetime and you get about 6 × 1026 kg, which is roughly the mass of 100 Earths. The Sun has turned a hundred Earths' worth of matter into sunlight, and that is only about 0.03% of its total mass. It has barely started.

You already know a star is a ball of gas. This lesson is about the part most people never get told: why it doesn't fall in on itself, why it eventually has to, and how the way it dies depends almost entirely on one number.

A star is a ball of hot gas with the weight of 330,000 Earths pressing inward. What stops it collapsing to a point?
Pressure from the heat made by fusion in its core. Gravity squeezes, the hot core pushes back, and the two balance exactly. Change one and the star adjusts until they match again. When the fuel that makes the heat runs out, the balance breaks, and that is the end of the star as it was.
The Sun's core is 15 million °C. That is hot, but it is still about a thousand times too cool for fusion to work the normal way. Every proton has a positive charge, and positive charges push each other away, like two magnets with the same ends facing. To fuse, two protons must get so close that they touch, and that push gets stronger the closer they come. A proton in the Sun almost never has enough energy to shove its way in. Yet the Sun shines. How?
A strange rule of the very small: sometimes a particle gets through without having the energy. At the scale of single particles, nature runs on odds, not certainties. A proton is not a tiny hard ball at one exact spot; it is more like a blur of chances. So each time two protons collide, there is a very small chance that one ends up on the far side of the push and close enough to fuse, even though it never had the energy to force its way there. Picture rolling a ball at a hill that is too tall for it, and once in a huge number of tries it simply turns up on the other side. Physicists call this quantum tunnelling. For any one collision it almost never happens. But the Sun's core holds about 1057 protons, colliding trillions of times a second, so somewhere in there it happens all the time. Without it, the Sun would not shine.
Part 1

The long balance

In the core, four hydrogen nuclei become one helium nucleus. The helium weighs 0.7% less than the four hydrogens did. That missing 0.7% is the energy. This is why mass is fuel: for a star, a kilogram of hydrogen is worth about 6 × 1014 joules.

The light made in the core does not fly straight out. It is absorbed and re-emitted billions of times, wandering in random directions like someone lost in a crowd, through gas so dense that light can barely get anywhere. Estimates of how long one packet of energy takes to escape range from about 10,000 to 170,000 years. Then it crosses space to us in 8 minutes 20 seconds. The sunlight on your face left the core before humans had cities.

Mass is destiny. A star's mass at birth almost completely decides its colour, brightness, lifespan and death. The strange part: heavier stars die younger. They have more fuel, but they burn it so ferociously that they run out first. Lifetime goes roughly as M−2.5. Double the mass and you cut the lifespan by a factor of about 6.
Part 2

Three kinds of ending

Birth massLifespanEndingWhat is left
Under about 0.5 M☉
red dwarfs
Trillions of yearsFade slowlyA helium white dwarf. The universe is only 13.8 billion years old, so no red dwarf has ever died.
0.5 to about 8 M☉
includes the Sun
Billions of yearsSwell into a red giant, blow off the outer layers as a glowing shell of gas (a planetary nebula)A white dwarf: roughly the Sun's mass in an Earth-sized ball.
About 8 to 20 M☉Millions of yearsCore collapse supernovaA neutron star.
Above about 20 M☉A few million yearsSupernova, or sometimes a quiet direct collapseA black hole (next lesson).

These boundaries are blurry. Rotation, chemical makeup and whether the star has a companion all move the lines, and astronomers are still arguing about exactly where they fall. Treat the numbers as a map, not a law.

The Sun will not explode. In about one billion years it will be bright enough to boil Earth's oceans. In about 5 billion years it will swell into a red giant that swallows Mercury and Venus, and Earth's fate is uncertain. Then it will shed its outer layers and settle as a white dwarf.

Part 3

The iron wall

A heavy star does not stop at helium. When one fuel runs out, the core contracts, heats up, and starts fusing the ash into something heavier. It builds up like an onion: hydrogen on the outside, then helium, carbon, neon, oxygen, silicon, and an iron core in the centre.

Each step is faster than the last. Iron is where it stops. Fusing iron does not release energy, it costs energy. The core has no more heat to make, so nothing holds up the weight above it. An iron core with about 1.4 times the Sun's mass (the Chandrasekhar limit) falls from roughly Earth-sized to about 20 km across in less than a second. The collapse stops when the core becomes a ball of neutrons, the infalling outer layers bounce off it, and the star explodes.

About 99% of the energy of that explosion leaves as neutrinos, ghostly particles that pass through almost everything. On 23 February 1987, detectors on Earth caught about two dozen of them from Supernova 1987A, a star 168,000 light-years away in the Large Magellanic Cloud. The neutrinos arrived about three hours before the light, because the neutrinos escape the core instantly but the blast wave needs hours to reach the star's surface.

The Chandrasekhar story. Subrahmanyan Chandrasekhar worked out the limit in 1930 aged 19, on a ship from India to Cambridge. When he presented the idea in 1935, the most famous astronomer of the day, Arthur Eddington, ridiculed it in public. Chandrasekhar was right and won the Nobel Prize in 1983. The idea that a star can collapse beyond a white dwarf was too strange to accept, and that strangeness is exactly why it mattered.
Part 4

What is left behind

RemnantSizeOne teaspoon weighs
White dwarfAbout Earth-sizedAbout 5 tonnes
Neutron starAbout 20 km across, 1.4–2 M☉Billions of tonnes

A neutron star is a single giant atomic nucleus the size of a city. Many spin, and their beams sweep across space like lighthouses. In 1967 a graduate student, Jocelyn Bell Burnell, found a signal pulsing every 1.337 seconds so regularly that the team half-jokingly labelled it LGM-1, for Little Green Men. It was the first pulsar. The fastest known spins about 716 times a second, with a surface moving at a large fraction of the speed of light.

Part 5

You are the ash

The Big Bang made almost only hydrogen and helium. Everything else was cooked, in stars, and thrown into space when they died. Tap an element to see where it likely came from.

Tap an element above.

Build a star

Drag the mass. Everything else (brightness, colour, lifetime, ending) follows from it. The curve is the main sequence: the long, steady stage of a star's life when it is fusing hydrogen, where stars spend most of their lives. Formulas are textbook approximations, good to a factor of two or so.

Lifetime
Brightness
Surface temp
Radius
Spectral class
Fate

The star onion

A star about 25 times the Sun's mass. Press Next fuel to step through its life. Bar lengths are on a log scale because the times are so different.

Press Next fuel.

Check yourself

Five questions. Wrong answers explain themselves, so read them.

Say it out loud

Explain this in your own words, as if to a friend who knows nothing: why doesn't the Sun collapse, and why doesn't it explode? Use the words gravity, pressure, fusion and balance. Type it, or just say it aloud, then compare with the Hook page.

Rabbit holes

The Hoyle stateCarbon should barely exist: three helium nuclei have to meet at once. In 1951 Fred Hoyle argued carbon-12 must have a special energy level (a particular amount of energy at which the nuclei fit together and stick) that makes it possible, because we are made of it. Experimenters found exactly that level. Ask: what does it mean that the physics lets us exist?
BetelgeuseA red supergiant in Orion, around 550 light-years away. It dimmed dramatically in 2019–20, probably from a huge cloud of dust it threw out. It will explode some day, probably within about 100,000 years. What would we see?
MagnetarsNeutron stars with magnetic fields about a thousand trillion times Earth's. A starquake on one in 2004 briefly outshone the whole Moon in X-rays from 50,000 light-years away.
The first starsThe very first stars had no heavy elements, and were probably gigantic, maybe hundreds of times the Sun's mass. None has been seen directly. The James Webb Space Telescope is hunting for their light.
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