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Atoms emit radiation in a spontaneous fashion, but Einstein theorized that this process could also be stimulated. A roughly simplified way to<br />

picture this is to suppose that an atom is already in a high-energy state from having absorbed a photon. If another photon with a particular<br />

wavelength is then fired into it, two photons of the same wavelength and direction can be emitted.<br />

What Einstein discovered was slightly more complex. Suppose there is a gas of atoms with energy being pumped into it, say by pulses of<br />

electricity or light. Many of the atoms will absorb energy and go into a higher energy state, and they will begin to emit photons. Einstein argued that<br />

the presence of this cloud of photons made it even more likely that a photon of the same wavelength and direction as the other photons in the cloud<br />

would be emitted. 35 This process of stimulated emission would, almost forty years later, be the basis for the invention of the laser, an acronym for<br />

“light amplification by the stimulated emission of radiation.”<br />

There was one part of Einstein’s quantum theory of radiation that had strange ramifications. “It can be demonstrated convincingly,” he told Besso,<br />

“that the elementary processes of emission and absorption are directed processes.” 36 In other words, when a photon pulses out of an atom, it does<br />

not do so (as the classical wave theory would have it) in all directions at once. Instead, a photon has momentum. In other words, the equations work<br />

only if each quantum of radiation is emitted in some particular direction.<br />

That was not necessarily a problem. But here was the rub:there was no way to determine which direction an emitted photon might go. In<br />

addition, there was no way to determine when it would happen. If an atom was in a state of higher energy, it was possible to calculate the<br />

probability that it would emit a photon at any specific moment. But it was not possible to determine the moment of emission precisely. Nor was it<br />

possible to determine the direction. No matter how much information you had. It was all a matter of chance, like the roll of dice.<br />

That was a problem. It threatened the strict determinism of Newton’s mechanics. It undermined the certainty of classical physics and the faith that<br />

if you knew all the positions and velocities in a system you could determine its future. Relativity may have seemed like a radical idea, but at least it<br />

preserved rigid cause-and-effect rules. The quirky and unpredictable behavior of pesky quanta, however, was messing with this causality.<br />

“It is a weakness of the theory,” Einstein conceded, “that it leaves the time and direction of the elementary process to ‘chance.’ ” The whole<br />

concept of chance—“Zufall” was the word he used—was so disconcerting to him, so odd, that he put the word in quotation marks, as if to distance<br />

himself from it. 37<br />

For Einstein, and indeed for most classical physicists, the idea that there could be a fundamental randomness in the universe—that events could<br />

just happen without a cause—was not only a cause of discomfort, it undermined the entire program of physics. Indeed, he never would become<br />

reconciled to it. “The thing about causality plagues me very much,” he wrote Max Born in 1920. “Is the quantumlike absorption and emission of light<br />

ever conceivable in terms of complete causality?” 38<br />

For the rest of his life, Einstein would remain resistant to the notion that probabilities and uncertainties ruled nature in the realm of quantum<br />

mechanics. “I find the idea quite intolerable that an electron exposed to radiation should choose of its own free will not only its moment to jump off<br />

but also its direction,” he despaired to Born a few years later. “In that case, I would rather be a cobbler, or even an employee of a gaming house,<br />

than a physicist.” 39<br />

Philosophically, Einstein’s reaction seemed to be an echo of the attitude displayed by the antirelativists, who interpreted (or misinterpreted)<br />

Einstein’s relativity theory as meaning an end to the certainties and absolutes in nature. In fact, Einstein saw relativity theory as leading to a deeper<br />

description of certainties and absolutes—what he called invariances—based on the combination of space and time into one four-dimensional<br />

fabric. Quantum mechanics, on the other hand, would be based on true underlying uncertainties in nature, events that could be described only in<br />

terms of probabilities.<br />

On a visit to Berlin in 1920, Niels Bohr, who had become the Copenhagen-based ringleader of the quantum mechanics movement, met Einstein<br />

for the first time. Bohr arrived at Einstein’s apartment bearing Danish cheese and butter, and then he launched into a discussion of the role that<br />

chance and probability played in quantum mechanics. Einstein expressed his wariness of “abandoning continuity and causality.” Bohr was bolder<br />

about going into that misty realm. Abandoning strict causality, he countered to Einstein, was “the only way open” given the evidence.<br />

Einstein admitted that he was impressed, but also worried, by Bohr’s breakthroughs on the structure of the atom and the randomness it implied<br />

for the quantum nature of radiation. “I could probably have arrived at something like this myself,” Einstein lamented, “but if all this is true then it<br />

means the end of physics.” 40<br />

Although Einstein found Bohr’s ideas disconcerting, he found the gangly and informal Dane personally endearing. “Not often in life has a human<br />

being caused me such joy by his mere presence as you did,” he wrote Bohr right after the visit, adding that he took pleasure in picturing “your<br />

cheerful boyish face.” He was equally effusive behind Bohr’s back.“Bohr was here, and I am just as keen on him as you are,” he wrote their mutual<br />

friend Ehrenfest in Leiden. “He is an extremely sensitive lad and moves around in this world as if in a trance.” 41<br />

Bohr, for his part, revered Einstein. When it was announced in 1922 that they had won sequential Nobel Prizes, Bohr wrote that his own joy had<br />

been heightened by the fact that Einstein had been recognized first for “the fundamental contribution that you made to the special field in which I am<br />

working.” 42<br />

On his journey home from delivering his acceptance speech in Sweden the following summer, Einstein stopped in Copenhagen to see Bohr, who<br />

met him at the train station to take him home by streetcar. On the ride, they got into a debate. “We took the streetcar and talked so animatedly that<br />

we went much too far,” Bohr recalled. “We got off and traveled back, but again rode too far.” Neither seemed to mind, for the conversation was so<br />

engrossing. “We rode to and fro,” according to Bohr, “and I can well imagine what the people thought about us.” 43<br />

More than just a friendship, their relationship became an intellectual entanglement that began with divergent views about quantum mechanics but<br />

then expanded into related issues of science, knowledge, and philosophy. “In all the history of human thought, there is no greater dialogue than that<br />

which took place over the years between Niels Bohr and Albert Einstein about the meaning of the quantum,” says the physicist John Wheeler, who<br />

studied under Bohr. The social philosopher C. P. Snow went further. “No more profound intellectual debate has ever been conducted,” he<br />

proclaimed. 44<br />

Their dispute went to the fundamental heart of the design of the cosmos: Was there an objective reality that existed whether or not we could ever<br />

observe it? Were there laws that restored strict causality to phenomena that seemed inherently random? Was everything in the universe<br />

predetermined?<br />

For the rest of their lives, Bohr would sputter and fret at his repeated failures to convert Einstein to quantum mechanics.Einstein, Einstein,<br />

Einstein, he would mutter after each infuriating encounter. But it was a discussion that was conducted with deep affection and even great humor.<br />

On one of the many occasions when Einstein declared that God would not play dice, it was Bohr who countered with the famous rejoinder: Einstein,<br />

stop telling God what to do! 45<br />

Quantum Leaps

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