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ExplainersStephen Hawking

Hawking: A Brief History of Time

A chapter-by-chapter guide, in our own words, to Stephen Hawking's 1988 book about space, time, black holes and the beginning of the universe.

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Stephen Hawking (1942–2018) was a physicist at the University of Cambridge who studied black holes and the beginning of the universe. At 21 he was found to have motor neurone disease (ALS), which slowly paralyzed him; doctors expected him to live only a few years. He lived another 55, worked for most of them, and from 1985 spoke through a computer voice. From 1979 to 2009 he held the Lucasian chair of mathematics at Cambridge, the chair Isaac Newton once held.

Key idea

A Brief History of Time (1988) explains, almost without equations, how physicists think about space and time, the expanding universe, black holes, and the search for one theory of everything. Hawking was told each equation would cut his sales, so he kept just one: Einstein's $E = mc^2$.

Borrow the book

A Brief History of Time by Stephen Hawking is still under copyright, so we do not reproduce it. Find it at a library: Open Library or WorldCat. Look for the updated and expanded tenth anniversary edition (1998) or the illustrated edition (1996); they add a chapter on wormholes and time travel.

How Hawking came to it

Hawking's best-known discovery, in 1974, was that black holes are not completely black: quantum effects near the edge should make them give off a faint glow, now called Hawking radiation, and very slowly shrink. It joined general relativity (the science of gravity) with quantum theory (the science of the very small) in one result. It has not yet been observed, because for real black holes the glow is far too faint. He wanted ordinary readers to share these ideas, and wrote a book for them.

Reading guide, chapter by chapter

Chapter titles are from the updated edition. Summaries are our own.

A Brief History of Time: a reading guide (updated edition).
ChapterWhat it is about, in our words
1. Our Picture of the UniverseHow ideas about the universe changed from Aristotle and Ptolemy to Copernicus, Galileo and Newton, and what makes a good scientific theory: it explains what we see and makes predictions we can test.
Think about: Can a theory ever be proved right, or only not yet proved wrong?
2. Space and TimeNewton's absolute time gives way to Einstein: the speed of light is the same for everyone, and gravity is the bending of space and time by mass.
Think about: Why can't anything go faster than light?
3. The Expanding UniverseGalaxies are moving apart, as Hubble found in the 1920s; run the film backward and everything was once packed together, the big bang.
Think about: If the universe expands, what is it expanding into? (Hawking's answer: nothing; space itself stretches.)
4. The Uncertainty PrincipleIn quantum theory you cannot know both where a particle is and how fast it moves exactly; nature is a matter of chances.
Think about: How can something be in a definite place if we can't measure it exactly?
5. Elementary Particles and the Forces of NatureQuarks, electrons and the four forces: gravity, electromagnetism, and the strong and weak nuclear forces.
Think about: Why might physicists want the four forces to be one?
6. Black HolesWhen a big star runs out of fuel it can collapse until not even light escapes. The edge is the event horizon.
Think about: Would you notice crossing an event horizon?
7. Black Holes Ain't So BlackHawking's own discovery: black holes glow faintly and slowly evaporate.
Think about: Why is it so hard to test this one?
8. The Origin and Fate of the UniverseWhat the early universe was like, inflation, and Hawking's idea that the universe might have no edge or boundary in time.
Think about: Does a question like "what came before the big bang" have an answer?
9. The Arrow of TimeWhy we remember the past but not the future: disorder (entropy) grows, and the universe's expansion points the same way.
Think about: Why can't a broken cup put itself back together?
10. Wormholes and Time TravelWhether shortcuts through space or trips to the past are allowed by physics (added in later editions).
Think about: What is the grandfather paradox?
11. The Unification of PhysicsAttempts to join gravity with quantum theory, including string theory.
Think about: Is a theory of everything the end of physics?
ConclusionWhy people ask why the universe exists, and why science and philosophy both matter to that question.
Think about: What would knowing the final theory change for you?

Numbers to try

Light travels about 300,000 km each second. The Sun is about 150 million km away, so its light takes about 500 seconds, a little over 8 minutes, to reach us. When you look at the Sun, you see it as it was 8 minutes ago. Look far enough and you see the young universe.

Worked example: Light from the Sun

Light goes 300,000 km per second. The Sun is 150,000,000 km away. How many seconds does sunlight take to reach Earth?
  1. $150{,}000{,}000 \div 300{,}000 = 500$ seconds.
  2. $500 \div 60 \approx 8.3$ minutes.

Answer: 500 seconds, about 8.3 minutes.

Worked example: How big is a black hole?

The event horizon of a black hole is about 3 km in radius for each Sun's worth of mass. What is the radius for a black hole of 10 solar masses?
  1. $3 \times 10 = 30$ km.

Answer: About 30 km: a city-sized object with ten times the Sun's mass.

Common mistake

Thinking a black hole sucks in everything around it like a drain. Far away, its gravity is the same as any star of the same mass. If the Sun turned into a black hole of the same mass, Earth would keep the same orbit (though it would get very cold).
Timeline
WhenWhat happened
1942Hawking born in Oxford, England, on January 8
1963Diagnosed with motor neurone disease, age 21
1974Shows that black holes should give off radiation
1979Becomes Lucasian Professor of Mathematics at Cambridge
1988A Brief History of Time published
2001The Universe in a Nutshell published
2018Dies in Cambridge

Read more: Stephen Hawking and A Brief History of Time.

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