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It is a curious paradox that several of the greatest and most creative spirits in science, after achieving important discoveries by following their unfettered imaginations, were in their later years obsessed with reductionist philosophy and as a result became sterile. Hilbert was a prime example of this paradox. Einstein was another. Like Hilbert, Einstein did his great work up to the age of forty without any reductionist bias. His crowning achievement, the general relativistic theory of gravitation, grew out of a deep physical understanding of natural processes. Only at the very end of his ten-year struggle to understand gravitation did he reduce the outcome of his understanding to a finite set of field equations. But like Hilbert, as he grew older he concentrated his attention more and more on the formal properties of his equations, and he lost interest in the wider universe of ideas out of which the equations arose.

His last twenty years were spent in a fruitless search for a set of equations that would unify the whole of physics, without paying attention to the rapidly proliferating experimental discoveries that any unified theory would finally have to explain. I do not need to say more about this tragic and well-known story of Einstein's lonely attempt to reduce physics to a finite set of marks on paper. His attempt failed as dismally as Hilbert's attempt to do the same thing with mathematics. I shall instead discuss another aspect of Einstein's later life, an aspect that has received less attention than his quest for the unified field equations: his extraordinary hostility to the idea of black holes.

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Einstein would be one of the greatest theoretical physicists of all time even if he had not written a single line on relativity.

"Einstein was remarkable for his powers of concentration; he could work uninterruptedly for hours and even days on the same problem. Some of the topics that interested him remained on his mind for decades. For relaxation he turned to music and to sailing, but often his work would continue during these moments as well; he usually had a notebook in his pocket so that he could jot down any idea that came to him. Once, after the theory of relativity had been put forth, he confessed to his colleague Wolfgang Pauli, "For the rest of my life I want to reflect on what light is." It is perhaps not entirely an accident that a focus on light is also the first visual act of the newborn child."

"Throughout his life, Albert Einstein would retain the intuition and the awe of a child. He never lost his sense of wonder at the magic of nature's phenomena-magnetic fields, gravity, inertia, acceleration, light beams-which grown-ups find so commonplace. He retained the ability to hold two thoughts in his mind simultaneously, to be puzzled when they conflicted, and to marvel when he could smell an underlying unity. "People like you and me never grow old," he wrote a friend later in life. "We never cease to stand like curious children before the great mystery into which we were born.

In my opinion, the black hole is incomparably the most exciting and the most important consequence of general relativity. Black holes are the places in the universe where general relativity is decisive. But Einstein never acknowledged his brainchild. Einstein was not merely skeptical, he was actively hostile to the idea of black holes. He thought that the black hole solution was a blemish to be removed from his theory by a better mathematical formulation, not a consequence to be tested by observation. He never expressed the slightest enthusiasm for black holes, either as a concept or as a physical possibility. Oddly enough, Oppenheimer too in later life was uninterested in black holes, although in retrospect we can say that they were his most important contribution to science. The older Einstein and the older Oppenheimer were blind to the mathematical beauty of black holes, and indifferent to the question whether black boles actually exist.

How did this blindness and this indifference come about?

"Einstein felt that he did not have great mathematical gifts and deliberately chose not to take courses and to continue in that area.

The fact that I neglected mathematics to a certain extent had its causes not merely in my stronger interest in science than in mathematics but also in the following strange experience....I saw that mathematics was split up into numerous specialties, each of which could easily absorb the short lifetime granted to us....In physics, however, I soon learned to scent out that which was able to lead to fundamentals and to turn aside from everything else, from the multitude of things that clutter up the mind and divert it from the essential.

This capacity to pick out important issues dovetailed with Einstein's search for the most general possible conception. "In a man of my type," he declared, "the turning point of the development lies in the fact that gradually the major interest disengages itself to a far reaching degree from the momentary and the merely personal and turns toward the striving for a mental grasp of things.

Einstein's breakthrough was classic in that it sought to unify the elements of a physical analysis, and it placed the older examples and principles within a broader framework. But it was revolutionary in that, ever afterward, we have thought differently about space and time, matter and energy. Space and time-no more absolute-have become forms of intuition that cannot be divorced from perspective or consciousness, anymore than can the colors of the world or the length of a shadow. As the philosopher Ernst Cassirer commented, in relativity, the conception of constancy and absoluteness of the elements is abandoned to give permanence and necessity to the laws instead.

In Oppenheimer's view, it would be a waste of his precious time, or of mine, to concern ourselves with the details of particular solutions. This was how the philosophy of reductionism led Oppenheimer and Einstein astray. Since the only purpose of physics was to reduce the world of physical phenomena to a finite set of fundamental equations, the study of particular solutions such as black holes was an undesirable distraction from the general goal. Like Hilbert, they were not content to solve particular problems one at a time. They were entranced by the dream of solving all the basic problems at once. And as a result, they failed in their later years to solve any problems at all.

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Thanks to his own thought experiments, his formal education, and his study of authors like Foppl, Einstein already had identified the set of issues that would occupy him for years to come: the relation between electricity and magnetism, the putative role of the ether, and conceptions of space and time, as formulated by a philosopher like Kant or a scientific thinker like Maxwell. Einstein later recalled:

What made the greatest impression upon the student, however, was less the technical construction of mechanics or the solution of complicated problems than the achievements of mechanics in areas which apparently had nothing to do with mechanics: the mechanical theory of light, which conceived of light as the wave-motion of a quasi-rigid elastic ether and above all the kinetic theory of gases.

"Berlin suggests that "in the case of seminal discoveries-say of imaginary numbers, or non-Euclidean geometry, or the quantum theory- it is precisely dissociation of categories indispensable to normal human experience, that seems to be required, namely a gift of conceiving of what cannot in principle be imagined nor expressed in ordinary language." Like Newton and Copernicus, Einstein sustained a vision of a unified, harmonious, physically caused world. This dissociation led both to Einstein's genius in the world of physics and his inspirational, but ultimately less successful, forays into issues of world order."

Much of the history of science, like the history of religion, is a history of struggles driven by power and money. And yet this is not the whole story. Genuine saints occasionally play an important role, both in religion and in science. Einstein was an important figure in the history of science, and he was a firm believer in transcendence. For Einstein, science as a way of escape from mundane reality was no pretense. For many scientists less divinely gifted than Einstein, the chief reward for being a scientist is not the power and the money but the chance of catching a glimpse of the transcendent beauty of nature.

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