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April 10, 2026
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"By symmetry we mean the existence of different viewpoints from which the system appears the same. It is only slightly overstating the case to say that physics is the study of symmetry. The first demonstration of the power of this idea may have been by Newton, who may have asked himself the question: What if the matter here in my hand obeys the same laws as that up in the sky—that is, what if space and matter are homogeneous and isotropic?"
"The behavior of large and complex aggregates of elementary particles, it turns out, is not to be understood in terms of a simple extrapolation of a few particles. Instead, at each level of complexity entirely new properties appear, and the understanding of the new behaviors requires research which I think is as fundamental in its nature as any other."
"I learned, practically in my cradle (actually from Bill McMillan's thesis), that the ground state wave function of a system of bosons should necessarily be real and positive, a fact which made his early Monte Carlo simulations infinitely easier."
"My belief is based on the fact that string theory is the first science in hundreds of years to be pursued in pre-Baconian fashion, without any adequate experimental guidance."
"It is seen as the application of a systematic “scientific method” involving wearing a white coat and being dull. I feel that too many young people come into science with this view, and that too many fields degenerate into the kind of work which results: automatic crank-turning and data-collecting of the sort which Kuhn calls “normal science” and Rutherford “stamp-collecting”. In fact, the creation of new science is a creative act, literally, and people who are not creative are not very good at it."
"The oxide superconductors, particularly those recently discovered that are based on La2CuO4, have a set of peculiarities that suggest a common, unique mechanism: they tend in every case to occur near a metal-insulator transition into an odd-electron insulator with peculiar magnetic properties. This insulating phase is proposed to be the long-sought "resonating-valence-bond" state or "quantum spin liquid" hypothesized in 1973. This insulating magnetic phase is favored by low spin, low dimensionality, and magnetic frustration. The preexisting magnetic singlet pairs of the insulating state become charged superconducting pairs when the insulator is doped sufficiently strongly."
"Mathematics... is the set of all possible self-consistent structures, and there are vastly more logical structures than physical principles."
"Remarkably, only a handful of fundamental physical principles are sufficient to summarize most of modern physics."
"No other theory known to science [other than superstring theory] uses such powerful mathematics at such a fundamental level. ...because any unified field theory first must absorb the Riemannian geometry of Einstein's theory and the Lie groups coming from quantum field theory... The new mathematics, which is responsible for the merger of these two theories, is topology, and it is responsible for accomplishing the seemingly impossible task of abolishing the infinities of a quantum theory of gravity."
"There are many examples of old, incorrect theories that stubbornly persisted, sustained only by the prestige of foolish but well-connected scientists. … Many of these theories have been killed off only when some decisive experiment exposed their incorrectness. .. Thus the yeoman work in any science, and especially physics, is done by the experimentalist, who must keep the theoreticians honest."
"It is often stated that of all the theories proposed in this century, the silliest is quantum theory. In fact, some say that the only thing that quantum theory has going for it is that it is unquestionably correct."
"Maxwell's equations... originally consisted of eight equations. These equations are not "beautiful." They do not possess much symmetry. In their original form, they are ugly. ...However, when rewritten using time as the fourth dimension, this rather awkward set of eight equations collapses into a single tensor equation. This is what a physicist calls "beauty," because both criteria are now satisfied."
"When Physicists speak of "beauty" in their theories, they really mean that their theory possesses at least two essential features: 1. A unifying symmetry 2. The ability to explain vast amounts of experimental data with the most economical mathematical expressions."
"What happened before the Big Bang? Are there other universes? What lies on the other side of creation? The other side of a black hole? Are s possible? s? s? Do we live in a multiverse? All these questions cannot be answered with our present-day understanding."
"I say looking at the next 100 years that there are two trends in the world today. The first trend is toward what we call a type one civilization, a planetary civilization... The danger is the transition between type zero and type one and that’s where we are today. We are a type zero civilization. We get our energy from dead plants, oil and coal. But if you get a calculator you can calculate when we will attain type one status. The answer is: in about 100 years we will become planetary. We’ll be able to harness all the energy output of the planet earth. We’ll play with the weather, earthquakes, volcanoes. Anything planetary we will play with. The danger period is now, because we still have the savagery. We still have all the passions. We have all the sectarian, fundamentalist ideas circulating around, but we also have nuclear weapons. ...capable of wiping out life on earth. So I see two trends in the world today. The first trend is toward a multicultural, scientific, tolerant society and everywhere I go I see aspects of that birth. For example, what is the Internet? Many people have written about the Internet. Billions and billions of words written about the Internet, but to me as a physicist the Internet is the beginning of a type one telephone system, a planetary telephone system. So we’re privileged to be alive to witness the birth of type one technology... And what is the European Union? The European Union is the beginning of a type one economy. And how come these European countries, which have slaughtered each other ever since the ice melted 10,000 years ago, how come they have banded together, put aside their differences to create the European Union? ...so we’re beginning to see the beginning of a type one economy as well..."
"We actually have a candidate for the mind of God. The mind of God we believe is cosmic music, the music of strings resonating through 11 dimensional hyperspace. That is the mind of God."
"If you could meet your grandkids as elderly citizens in the year 2100 … you would view them as being, basically, Greek gods… that's where we're headed."
"It is sometimes helpful to differentiate between the God of Miracles and the God of Order. When scientists use the word God, they usually mean the God of Order. ...The God of Miracles intervenes in our affairs, performs miracles, destroys wicked cities, smites enemy armies, drowns the Pharaoh's troops, and avenges the pure and noble. ...This is not to say that miracles cannot happen, only that they are outside what is commonly called science."
"It is as inescapable as the laws of physics that humanity will one day confront some type of extinction-level event. But will we, like our ancestors, have the drive and determination to survive and even flourish? . . . On a scale of decades, we face threats that are not natural but are largely self-inflicted [including] global warming . . . modern warfare as nuclear weapons proliferate in some of the most unstable regions of the globe, [or] weaponized microbes [that could conceivably] wipe out 98 percent of the human race. . . . On a scale of thousands of years, we face the onset of another ice age [or] the possibility that the supervolcano under Yellowstone National Park may awaken from its long slumber . . . . On a scale of millions of years, we face the threat of another meteor or cometary impact . . . . We now know that there are several thousand NEOs (near-Earth objects) that cross the orbit of the Earth and pose a danger to life on our planet. . . . If there is one lesson we can learn from our history, it is that humanity, when faced with life-threatening crises, has risen to the challenge and reached for even higher goals. In some sense, the spirit of exploration is in our genes and hardwired into our soul. [So] now we face perhaps the greatest challenge of all: to leave the confines of Earth and soar into outer space. . . . Perhaps our fate is to become a multiplanet species that lives among the stars."
""Killer asteroids are nature's way of asking, 'How's that space program coming along?'" - Anonymous"
"Michio Kaku... will talk, waxing rhapsodically, about the Mind of God and how everything is encrypted and encoded, and if we can get to the multiverse, and that really would be the singularity... I like Michio. He's very good as an entertainer, but I think the selling of physics is going to come back to haunt us... Just touting this stuff, and I'm guilty of it at times too, but I won't utter... "The Mind of God." What do you think about the danger that we, as people that are publicly facing, have of potentially compromising the true appreciation of the most magnificent things in the universe, which take a lot of background. You can't dumb it down, and you shouldn't. I will never do that with my audience."
"The principle of maximum diversity says that the laws of nature, and the initial conditions at the beginning of time, are such as to make the universe as interesting as possible. As a result, life is possible but not too easy. Maximum diversity often leads to maximum stress. In the end we survive, but only by the skin of our teeth. This is the confession of faith of a scientific heretic. Perhaps I may claim as evidence for progress in religion the fact that we no longer burn heretics."
"I do not claim any ability to read God's mind. I am sure of only one thing. When we look at the glory of stars and galaxies in the sky and the glory of forests and flowers in the living world around us, it is evident that God loves diversity. Perhaps the universe is constructed according to a principle of maximum diversity."
"My personal theology is described in the Gifford lectures that I gave at Aberdeen in Scotland in 1985, published under the title, Infinite In All Directions. Here is a brief summary of my thinking. The universe shows evidence of the operations of mind on three levels. The first level is elementary physical processes, as we see them when we study atoms in the laboratory. The second level is our direct human experience of our own consciousness. The third level is the universe as a whole. Atoms in the laboratory are weird stuff, behaving like active agents rather than inert substances. They make unpredictable choices between alternative possibilities according to the laws of quantum mechanics. It appears that mind, as manifested by the capacity to make choices, is to some extent inherent in every atom. The universe as a whole is also weird, with laws of nature that make it hospitable to the growth of mind. I do not make any clear distinction between mind and God. God is what mind becomes when it has passed beyond the scale of our comprehension. God may be either a world-soul or a collection of world-souls. So I am thinking that atoms and humans and God may have minds that differ in degree but not in kind. We stand, in a manner of speaking, midway between the unpredictability of atoms and the unpredictability of God. Atoms are small pieces of our mental apparatus, and we are small pieces of God's mental apparatus. Our minds may receive inputs equally from atoms and from God. This view of our place in the cosmos may not be true, but it is compatible with the active nature of atoms as revealed in the experiments of modern physics. I don't say that this personal theology is supported or proved by scientific evidence. I only say that it is consistent with scientific evidence."
"I am content to be one of the multitude of Christians who do not care much about the doctrine of the Trinity or the historical truth of the gospels. Both as a scientist and as a religious person, I am accustomed to living with uncertainty. Science is exciting because it is full of unsolved mysteries, and religion is exciting for the same reason. The greatest unsolved mysteries are the mysteries of our existence as conscious beings in a small corner of a vast universe."
"Sharing the food is to me more important than arguing about beliefs. Jesus, according to the gospels, thought so too."
"One of the great but less famous heroes of World War Two was Andre Trocme, the Protestant pastor of the village of Le Chambon sur Lignon in France, which sheltered and saved the lives of five thousand Jews under the noses of the Gestapo. Forty years later Pierre Sauvage, one of the Jews who was saved, recorded the story of the village in a magnificent documentary film with the title, "Weapons of the Spirit". The villagers proved that civil disobedience and passive resistance could be effective weapons, even against Hitler. Their religion gave them the courage and the discipline to stand firm. Progress in religion means that, as time goes on, religion more and more takes the side of the victims against the oppressors."
"Man occupies a special place in the Cartesian scheme. He alone is endowed with mind. Descartes believed that animals did not possess one, that they were simply extremely complicated automatons. Other thinkers have rejected this point of view and proposed to endow all matter in the universe — living or inanimate — with consciousness. This "panpsychism" has been promoted by, among others, Teilhard de Chardin and, more recently by the British-American physicist Freeman Dyson, who holds that mind is present in every particle of matter."
"Freeman’s gift? … It’s cosmic. He is able to see more interconnections between more things than almost anybody. He sees the interrelationships, whether it’s in some microscopic physical process or in a big complicated machine like Orion. He has been, from the time he was in his teens, capable of understanding essentially anything that he’s interested in. He’s the most intelligent person I know."
"You'll have received an application from Mr Freeman Dyson to come to work with you as a graduate student. I hope that you will accept him. Although he is only 23 he is in my view the best mathematician in England."
"Many people know of the mathematician but not the engineer. Some had read of Dyson the physicist but not Dyson the diplomat. They had read Disturbing the Universe but not '. They might have known about Orion and but not about Socinus. ...Dyson had not won the... Nobel for... explaining way the infinities... when you get closer and closer to the electron... relying on an artful redefinition of the mass and charge... But he had won ...[the Templeton prize] for explaining the disparities that arise when you use science to explain the whole universe, physical and moral. Dyson's attempt at smoothing over potential conflicts between science and religion had swept the apparent incompatibility not under the carpet but out beyond the edge of the universe."
"Freeman Dyson’s winning the took many people by surprise, including Dyson... the Templeton Foundation gave its... prize for "progress in religion"... In receiving a million dollars, Dyson may have lost his amateur status as a theologian. ...In Dyson's acceptance speech he sounded the themes... that good works... are better than volumes of theology; that both science and religion... grapple with mysteries; that God and mind... are one and actively present simultaneously at the microscopic level of atoms, at the macroscopic level of human beings, and at the cosmic level of the universe... that green technology... is reexerting its primacy over gray technology... machines and fossil fuels; that the marketing of high-tech and the capitalist system... must be tempered by ethics; that this attention to social justice will... help alleviate human misery and enlarge the global economy; and that we must utilize both... science and religion... Dyson should probably be placed somewhere between a pantheist and a deist whose God is a kind of meta-scientific, ."
"When Freeman Dyson, the physicist, greeted John Forbes Nash, Jr. at the Institute for Advanced Study one day in the early 1990s, he hardly expected a response. A mathematics legend in his twenties, Nash had suffered for decades from a devastating mental illness. A mute, ghost-like figure who scrawled mysterious messages on blackboards and occupied himself with numerological calculations, he was known around Princeton only as “the Phantom.” To Dyson’s astonishment, Nash replied. He’d seen Dyson’s daughter, an authority on computers, on the news, he said. “It was beautiful,” recalled Dyson. “Slowly, he just somehow woke up.”"
"Mr Dyson is absolutely unusual in his ability and accomplishments. I can say without reservation that he is the best I have ever had or observed."
"Greene takes it for granted, and here the great majority of physicists agree with him, that the division of physics into separate theories for large and small objects is unacceptable. ... Greene believes that there is an urgent need to find a theory of quantum gravity that applies to large and small objects alike. ... As a conservative, I do not agree that a division of physics into separate theories for large and small is unacceptable. ... The essence of any theory of quantum gravity is that there exists a particle called the graviton ... I looked at various possible ways of detecting gravitons and did not find a single one that worked. Because of the extreme weakness of the gravitational interaction, any putative detector of gravitons has to be extremely massive. If the detector has normal density, most of it is too far from the source of gravitons to be effective, and if it is compressed to a high density around the source it collapses into a black hole. There seems to be a conspiracy of nature to prevent the detector from working."
"I had the good luck a few years ago to visit the archeological site of Zippori in Israel ... I could see here displayed the Greek culture that Jesus decisively rejected, the same Greek culture that infiltrated the Christian religion soon after his death and has dominated Christianity ever since."
"The common root of modern science and Christian theology was Greek philosophy. The historical accident that caused the Christian religion to become heavily theological was the fact that Jesus was born in the Eastern part of the Roman Empire at the time when the prevailing culture was profoundly Greek."
"It is more difficult for a modern scientist to be a serious Christian, like Polkinghorne, than to be a serious Muslim, like the Nobel Prize-winning physicisit Abdus Salam. Salam happily proclaimed his Muslim faith but did not feel any need to write books about it. For Salam, the idea of a conflict between his faith and his science was ludicrous. Muslim faith has nothing to do with science. But Polkinghorne writes books to prove to himself and to us that his theology and his science can live together harmoniously.."
"It is probably not an accident that modern science grew explosively in Christian Europe and left the rest of the world behind. A thousand years of theological disputes nurtured the habit of analytical thinking that could also be applied to the analysis of natural phenomena. On the other hand, the close historical relations between theology and science have caused conflicts between science and Christianity that does not exist between science and other religions."
"It is a curious accident of history that the Christian religion became heavily involved with theology. No other religion finds it necessary to formulate elaborately precise statements about the abstract qualities and relationships of gods and humans. ... The idea that God may be approached and understood through intellectual analysis is uniquely Christian."
"When all is said and done, science is about things and theology is about words. Things behave in the same way everywhere, but words do not. ... Theology works in one culture alone. If you have not grown up in Polkinghorne's culture, where words such as "incarnation" and "trinity" have a profound meaning, you cannot share his vision."
"Nobody knows what dark matter is. It is another deep mystery waiting to be explored. We know only that it is there, and that it weighs more than the stuff that we can see."
"Astronomers have so far escaped the extreme specialization that has overtaken physicists. Telescopes are big, but they are not as complicated as accelerators. Observations with a big telescope can be carried out in hours rather than years."
"Rutherford did not pretend to understand quantum mechanics, but he understood that the Gamow formula would give his accelerator a crucial advantage. Even particles accelerated at much lower energies ... would be able to penetrate into nuclei. Rutherford invited Gamow to Cambridge in January 1929 ... [They] became firm friends and Gamow's insight gave Rutherford the impetus to go full steam ahead with the building of his accelerator."
"Rutherford's discovery was the beginning of the science that came to be called nuclear physics. ... The projectiles that he used to explore the nucleus were particles produced in the disintegration of radium ... discovered by Marie Curie in 1898. The particles are helium nuclei that are emitted at high speed when radium atoms decay ... The twenty years between 1909 and 1929 were the era of tabletop nuclear physics. ... Small and simple experiments were sufficient to establish the basic laws of nuclear physics."
"Black holes are not rare, and they are not an accidental embellishment of our Universe. They are a fundamental driving force of its evolution. They are a dominant source of energy. For every ounce of matter consumed, they yield more than ten times as much energy as the nuclear reactions of fusion and fission that cause our sun to shine and our hydrogen bombs to explode."
"The two great conceptual revolutions of twentieth-century science, the overturning of classical physics by Werner Heisenberg and the overturning of the foundations of mathematics by Kurt Gödel, occurred within six years of each other within the narrow boundaries of German-speaking Europe. ... A study of the historical background of German intellectual life in the 1920s reveals strong links between them. Physicists and mathematicians were exposed simultaneously to external influences that pushed them along parallel paths. ... Two people who came early and strongly under the influence of Spengler's philosophy were the mathematician Hermann Weyl and the physicist Erwin Schrödinger. ... Weyl and Schrödinger agreed with Spengler that the coming revolution would sweep away the principle of physical causality. The erstwhile revolutionaries David Hilbert and Albert Einstein found themselves in the unaccustomed role of defenders of the status quo, Hilbert defending the primacy of formal logic in the foundations of mathematics, Einstein defending the primacy of causality in physics. In the short run, Hilbert and Einstein were defeated and the Spenglerian ideology of revolution triumphed, both in physics and in mathematics. Heisenberg discovered the true limits of causality in atomic processes, and Gödel discovered the limits of formal deduction and proof in mathematics. And, as often happens in the history of intellectual revolutions, the achievement of revolutionary goals destroyed the revolutionary ideology that gave them birth. The visions of Spengler, having served their purpose, rapidly became irrelevant."
"Starting from Einstein's theory of general relativity, Oppenheimer and Snyder found solutions... that described what happens to a massive star when it has exhausted its supplies of nuclear energy. The star collapses gravitationally and disappears from the visible universe, leaving behind only an intense gravitational field to mark its presence. The star remains in a state of permanent free fall, collapsing endlessly inward into the gravitational pit without ever reaching the bottom. ... In my opinion, the black hole is incomparably the most exciting and the most important consequence of general relativity. But Einstein ... was actively hostile to the idea of black holes. ... Oddly enough, Oppenheimer too in later life was uninterested in black holes, although... they were his most important contribution to science. ... Oppenheimer in his later years believed that the only problem worthy of attention of a serious theoretical physicist was the discovery of fundamental equations of physics. Einstein certainly felt the same way."
"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."
"Gödel's theorem shows conclusively that in pure mathematics reductionism does not work. To decide whether a mathematical statement is true, it is not sufficient to reduce the statement to marks on paper and to study the behavior of the marks. Except in trivial cases, you can decide the truth of a statement only by studying its meaning and its context in the larger world of mathematical ideas."