Table of Contents
by the same author
IT MUST BE BEAUTIFUL: GREAT EQUATIONS OF MODERN SCIENCE (editor)
To my mother and the memory of my late father
[T]he amount of eccentricity in a society has generally been proportional to the amount of genius, mental vigour, and moral courage which it contained. That so few now dare to be eccentric, marks the chief danger of the time.
JOHN STUART MILL, On Liberty, 1869
We are nothing without the work of others our predecessors,
others our teachers, others our contemporaries. Even when, in
the measure of our inadequacy and our fullness, new insight
and new order are created, we are still nothing without others.
Yet we are more.
J. ROBERT OPPENHEIMER, Reith Lecture, 20 December 1953
Prologue
[A] good deal of unkindness and selfishness on the part of parents towards children is not generally followed by ill consequences to the parents themselves. They may cast a gloom over their childrens lives for many years.
SAMUEL BUTLER, The Way of All Flesh, 1903
All it took was a single glass of orange juice laced with hydrochloric acid. A few minutes later, it was clear that his digestive problems were due to a chronic deficiency of stomach acid. For months, he had been admitted to hospital every few weeks to be fed vitamins intravenously, but the doctors had no idea why his digestion was so poor. Now, following the orange-juice experiment, a laboratory test on the chemical contents of his stomach confirmed the conclusion that his stomach contained far too little acid. The simple prescription of a pill to be taken after every meal ended almost eight decades of digestive problems. As a result, Kurt Hofer, the friend who suggested the experiment and made the correct diagnosis, became the reluctant health guru to Paul Dirac, one of the most revered - and strangest - figures in the history of science.
Hofer and Dirac both worked at Florida State University but otherwise appeared to have little in common. Hofer - just over forty years of age - was a top-drawer cell biologist, a spirited raconteur who told all comers of his early family life among Austrian mountain farmers and his moment of cinematic glory as a well-paid extra in The Sound of Music. Hofers eyes glittered when he told his stories, his thickly accented voice swooped and surged for emphasis, his hands chopped and shaped the air as if it were dough. Even in this lively company, Dirac was unresponsive, speaking only when he had a pressing question to ask or, less often, a comment to make. One of his favourite phrases was: There are always more people who prefer to speak than to listen.
Dirac was one of the pre-eminent pioneers of quantum mechanics, the modern theory of atoms, molecules and their constituents. Arguably the most revolutionary scientific breakthrough of the twentieth century, quantum mechanics uprooted centuries-old prejudices about the nature of reality and what can, in principle, be known for certain about the universe. The theory also proved to be of enormous utility: it underpins the whole of modern microelectronics and has answered many basic questions that had long defied straightforward answers, such as why electricity flows easily through wire but not through wood. Yet Diracs eyes glazed over during talk of the practical and philosophical consequences of quantum physics: he was concerned only with the search for the fundamental laws that describe the longest strands in the universes fabric. Convinced that these laws must be mathematically beautiful, he once - uncharacteristically - hazarded the unverifiable conjecture that God is a mathematician of a very high order.
The ambitions of Kurt Hofer were more modest than Diracs. Hofer had made his name in cancer and radiation research by carefully carrying out experiments and then trying to find theories to explain the results. This was the conventional, bottom-up technique of the English naturalist Charles Darwin, who saw his mind as a machine for grinding general laws out of large collections of facts. Dirac, a classic example of a top-down thinker, took the opposite approach, viewing his mind as a device for conjuring laws that explained experimental observations. In one of his greatest achievements, Dirac used this method to arrange what had seemed an unlikely marriage - between quantum mechanics and Einsteins theory of relativity - in the form of an exquisitely beautiful equation to describe the electron. Soon afterwards, with no experimental clues to prompt him, he used his equation to predict the existence of antimatter, previously unknown particles with the same mass as the corresponding particles of matter but with the opposite charge. The success of this prediction is, by wide agreement, one of most outstanding triumphs of theoretical physics. Today, according to the cosmologists standard theory of the early universe - supported by a wealth of observational evidence - antimatter made up half the material generated at the beginning of the Big Bang; from this perspective, Dirac was the first person to glimpse the other half of the early universe, entirely through the power of reason.
Hofer liked to compare Dirac with Darwin: both English, both uncomfortable in the public eye, both responsible for changing the way scientists think about the universe. A decade before, Hofer was amazed when he heard that Dirac was to move from one of the worlds leading physics departments, at the University of Cambridge in England, to take up a position at Florida State University, whose physics department was ranked only eighty-third in the USA. When the possibility of his appointment was first mooted, there were murmurings among the professors that it was unwise to offer a post to an old man. The objections ended only after the Head of Department declared at a faculty meeting: To have Dirac here would be like the English faculty recruiting Shakespeare.
Around 1978, Hofer and his wife Ridy began to pay visits to the Diracs on most Friday afternoons, to wind down for a couple of hours after the weeks work. The Hofers set off from their home near the campus in Tallahassee at about 4.30 p.m. and took the two-minute walk to 223 Chapel Drive, where the Diracs lived in a modest, single-storey house, a few paces from the quiet residential street. At the front of the house was a flat, English-style lawn, planted with a few shrubs and a Pindo palm tree. The Hofers were always welcomed warmly by Diracs smartly dressed wife Manci, who laughed and joked as she dispensed sherry, nuts and the latest faculty gossip. Dirac was painfully spare and round-shouldered, dressed casually in an open-necked shirt and an old pair of trousers, content to sit and listen to the conversation around him, pausing occasionally to sip his glass of water or ginger ale. The chatter ranged widely from family matters to local politics at the university, and from the earnest utterances of Mrs Thatcher on the steps of Downing Street to the most recent sermon from Jimmy Carter in the White House garden. Although Dirac was benign and receptive during these conversations, he was so reserved that Hofer often found himself trying to elicit a response from him - a nod or a shake of the head, a few words, anything to make the conversation less one-sided. Just occasionally, Dirac would be moved to contribute a few words about one of his private enthusiasms - Chopins waltzes, Mickey Mouse and any television special featuring Cher, the brassy chanteuse.