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An additional step was taken by another unlikely player, Erwin Schrödinger, an Austrian theoretical physicist who despaired of discovering<br />

anything significant and thus decided to concentrate on being a philosopher instead. But the world apparently already had enough Austrian<br />

philosophers, and he couldn’t find work in that field. So he stuck with physics and, inspired by Einstein’s praise of de Broglie, came up with a theory<br />

called “wave mechanics.” It led to a set of equations that governed de Broglie’s wavelike behavior of electrons, which Schrödinger (giving half<br />

credit where he thought it was due) called “Einstein–de Broglie waves.” 54<br />

Einstein expressed enthusiasm at first, but he soon became troubled by some of the ramifications of Schrödinger’s waves, most notably that<br />

over time they can spread over an enormous area. An electron could not, in reality, be waving thus, Einstein thought. So what, in the real world, did<br />

the wave equation really represent?<br />

The person who helped answer that question was Max Born, Einstein’s close friend and (along with his wife, Hedwig) frequent correspondent,<br />

who was then teaching at Göttingen. Born proposed that the wave did not describe the behavior of the particle. Instead, he said that it described<br />

the probability of its location at any moment. 55 It was an approach that revealed quantum mechanics as being, even more than previously thought,<br />

fundamentally based on chance rather than causal certainties, and it made Einstein even more squeamish. 56<br />

Meanwhile, another approach to quantum mechanics had been developed in the summer of 1925 by a bright-faced 23-year-old hiking<br />

enthusiast, Werner Heisenberg, who was a student of Niels Bohr in Copenhagen and then of Max Born in Göttingen. As Einstein had done in his<br />

more radical youth, Heisenberg started by embracing Ernst Mach’s dictum that theories should avoid any concepts that cannot be observed,<br />

measured, or verified. For Heisenberg this meant avoiding the concept of electron orbits, which could not be observed.<br />

He relied instead on a mathematical approach that would account for something that could be observed: the wavelengths of the spectral lines of<br />

the radiation from these electrons as they lost energy. The result was so complex that Heisenberg gave his paper to Born and left on a camping trip<br />

with fellow members of his youth group, hoping that his mentor could figure it out. Born did. The math involved what are known as matrices, and<br />

Born sorted it all out and got the paper published. 57 In collaboration with Born and others in Göttingen, Heisenberg went on to perfect a matrix<br />

mechanics that was later shown to be equivalent to Schrödinger’s wave mechanics.<br />

Einstein politely wrote Born’s wife, Hedwig, “The Heisenberg-Born concepts leave us breathless.” Those carefully couched words can be read in<br />

a variety of ways. Writing to Ehrenfest in Leiden, Einstein was more blunt. “Heisenberg has laid a big quantum egg,” he wrote. “In Göttingen they<br />

believe in it. I don’t.” 58<br />

Heisenberg’s more famous and disruptive contribution came two years later, in 1927. It is, to the general public, one of the best known and most<br />

baffling aspects of quantum physics: the uncertainty principle.<br />

It is impossible to know, Heisenberg declared, the precise position of a particle, such as a moving electron, and its precise momentum (its<br />

velocity times its mass) at the same instant. The more precisely the position of the particle is measured, the less precisely it is possible to measure<br />

its momentum. And the formula that describes the trade-off involves (no surprise) Planck’s constant.<br />

The very act of observing something—of allowing photons or electrons or any other particles or waves of energy to strike the object—affects the<br />

observation. But Heisenberg’s theory went beyond that. An electron does not have a definite position or path until we observe it. This is a feature of<br />

our universe, he said, not merely some defect in our observing or measuring abilities.<br />

The uncertainty principle, so simple and yet so startling, was a stake in the heart of classical physics. It asserts that there is no objective reality—<br />

not even an objective position of a particle—outside of our observations. In addition, Heisenberg’s principle and other aspects of quantum<br />

mechanics undermine the notion that the universe obeys strict causal laws. Chance, indeterminacy, and probability took the place of certainty.<br />

When Einstein wrote him a note objecting to these features, Heisenberg replied bluntly, “I believe that indeterminism, that is, the nonvalidity of<br />

rigorous causality, is necessary.” 59<br />

When Heisenberg came to give a lecture in Berlin in 1926, he met Einstein for the first time. Einstein invited him over to his house one evening,<br />

and there they engaged in a friendly argument. It was the mirror of the type of argument Einstein might have had in 1905 with conservatives who<br />

resisted his dismissal of the ether.<br />

“We cannot observe electron orbits inside the atom,” Heisenberg said.“A good theory must be based on directly observable magnitudes.”<br />

“But you don’t seriously believe,” Einstein protested, “that none but observable magnitudes must go into a physical theory?”<br />

“Isn’t that precisely what you have done with relativity?” Heisenberg asked with some surprise.<br />

“Possibly I did use this kind of reasoning,” Einstein admitted, “but it is nonsense all the same.” 60<br />

In other words, Einstein’s approach had evolved.<br />

Einstein had a similar conversation with his friend in Prague, Philipp Frank. “A new fashion has arisen in physics,” Einstein complained, which<br />

declares that certain things cannot be observed and therefore should not be ascribed reality.<br />

“But the fashion you speak of,” Frank protested, “was invented by you in 1905!”<br />

Replied Einstein: “A good joke should not be repeated too often.” 61<br />

The theoretical advances that occurred in the mid-1920s were shaped by Niels Bohr and his colleagues, including Heisenberg, into what<br />

became known as the Copenhagen interpretation of quantum mechanics. A property of an object can be discussed only in the context of how that<br />

property is observed or measured, and these observations are not simply aspects of a single picture but are complementary to one another.<br />

In other words, there is no single underlying reality that is independent of our observations. “It is wrong to think that the task of physics is to find<br />

out how nature is,” Bohr declared. “Physics concerns what we can say about nature.” 62<br />

This inability to know a so-called “underlying reality” meant that there was no strict determinism in the classical sense. “When one wishes to<br />

calculate ‘the future’ from ‘the present’ one can only get statistical results,” Heisenberg said, “since one can never discover every detail of the<br />

present.” 63<br />

As this revolution climaxed in the spring of 1927, Einstein used the 200th anniversary of Newton’s death to defend the classical system of<br />

mechanics based on causality and certainty. Two decades earlier, Einstein had, with youthful insouciance, toppled many of the pillars of Newton’s<br />

universe, including absolute space and time. But now he was a defender of the established order, and of Newton.<br />

In the new quantum mechanics, he said, strict causality seemed to disappear. “But the last word has not been said,” Einstein argued. “May the<br />

spirit of Newton’s method give us the power to restore union between physical reality and the profoundest characteristic of Newton’s teaching—<br />

strict causality.” 64<br />

Einstein never fully came around, even as experiments repeatedly showed quantum mechanics to be valid. He remained a realist, one who made<br />

it his creed to believe in an objective reality, rooted in certainty, that existed whether or not we could observe it.<br />

“He does not play dice”

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