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April 10, 2026
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"... I found that I was unable to explain the foundations of quantum mechanics in a way that I found entirely satisfactory."
"One of the things that excited me so much about quantum chromodynamics after the work of Gross and Wilczek and Politzer was that it seemed to provide a rational explanation for what had always been mysterious to me — the fact that there were symmetries, like parity conservation, charge conjugation invariance, and strangeness conservation, that were very good symmetries of the strong and electromagnetic interactions — as far as we knew exact — and yet were not respected by the weak interactions. Why should nature have ... symmetries that are symmetries of part of nature but not other parts of nature?"
"Symmetry is not enough by itself. In electromagnetism, for example, if you write down all the symmetries we know, such as Lorentz invariance and gauge invariance, you don’t get a unique theory that predicts the magnetic moment of the electron. The only way to do that is to add the principle of renormalisability – which dictates a high degree of simplicity in the theory and excludes these additional terms that would have changed the magnetic moment of the electron from the value Schwinger calculated in 1948."
"Having taught quantum mechanics and written a book about it recently — a technical treatise — I find that I am not as happy about quantum mechanics as I used to be — not as dismissive of the critics. And it's a bad sign in particular that those physicists who are happy about quantum mechanics — who don't see anything wrong with it — don't agree with each other about what it means. ... And the problem has specifically to do with the act of measurement."
"It doesn't work to build half an accelerator. The particles need to go all the way around."
"There’s something I’ve been working on for more than a year — maybe it’s just an old man’s obsession, but I’m trying to find an approach to quantum mechanics that makes more sense than existing approaches. I’ve just finished editing the second edition of my book, Lectures on Quantum Mechanics, in which I think I strengthen the argument that none of the existing interpretations of quantum mechanics are entirely satisfactory."
"In fact, there is something puzzling about the Higgs mass we now do observe. It is generally known as the “hierarchy problem.” Since it is the Higgs mass that sets the scale for the masses of all other known elementary particles, one might guess that it should be similar to another mass that plays a fundamental role in physics, the so-called Planck mass, which is the fundamental unit of mass in the theory of gravitation. (It is the mass of hypothetical particles whose gravitational attraction for one another would be as strong as the electric force between two electrons separated by the same distance.) But the Planck mass is about a hundred thousand trillion times larger than the Higgs mass. So, although the Higgs particle is so heavy that a giant particle collider was needed to create it, we still have to ask, why is the Higgs mass so small?"
"A theorist today is hardly considered respectable if he or she has not introduced at least one new particle for which there is no experimental evidence."
"'s kindness to me and my wife went beyond his help with this research. He had my wife and me to dinner at his house and at that dinner I went to the bathroom and I learned something about Källén that I don't think anyone knows. And that is that he had hand towels embroidered with the . And I mentioned this to Mrs. Källén and she said they were a present from Pauli."
"There is a hope, which I nurse but I don't see being realized, that eventually we'll find that quantum mechanics as we know it now is just an approximation ..."
"If there is no point in the universe that we discover by the methods of science, there is a point that we can give the universe by the way we live, by loving each other, by discovering things about nature, by creating works of art. And that—in a way, although we are not the stars in a cosmic drama, if the only drama we're starring in is one that we are making up as we go along, it is not entirely ignoble that faced with this unloving, impersonal universe we make a little island of warmth and love and science and art for ourselves. That's not an entirely despicable role for us to play."
"A superconductor of any kind is nothing more or less than a material in which a particular symmetry of the laws of nature, electromagnetic gauge invariance, is spontaneously broken. ... These rotations act on a two-dimensional vector, whose two components are the real and imaginary parts of the electron field, the quantum mechanical operator that in quantum field theories of matter destroys electrons. The rotation angle of the broken symmetry group can vary with location in the superconductor, and then the symmetry transformations also affect the electromagnetic potentials ... The symmetry breaking in a superconductor leaves unbroken a rotation by 180°, which simply changes the sign of the electron field. In consequence of this spontaneous symmetry breaking, products of any even number of electron fields have non-vanishing expectation values in a superconductor, though a single electron field does not. All of the dramatic exact properties of superconductors – zero electrical resistance, the expelling of magnetic fields from superconductors known as the Meissner effect, the quantization of magnetic flux through a thick superconducting ring, and the Josephson formula for the frequency of the AC current at a junction between two superconductors with different voltages – follow from the assumption that electromagnetic gauge invariance is broken in this way, with no need to inquire into the mechanism by which the symmetry is broken."
"There are those whose views about religion are not very different from my own, but who nevertheless feel that we should try to damp down the conflict, that we should compromise it. … I respect their views and I understand their motives, and I don't condemn them, but I'm not having it. To me, the conflict between science and religion is more important than these issues of science education or even environmentalism. I think the world needs to wake up from its long nightmare of religious belief; and anything that we scientists can do to weaken the hold of religion should be done, and may in fact be our greatest contribution to civilization."
"It seems that scientists are often attracted to beautiful theories in the way that insects are attracted to flowers — not by logical deduction, but by something like a sense of smell."
"It seems to me that we are in the position of a company of players who have by chance found their way into a great theater. Outside, the city streets are dark and lifeless, but in the theater the lights are on, the air is warm, and the walls are wonderfully decorated. However, no scripts are found, so the players begin to improvise—a little psychological drama, a little poetry, whatever comes to mind. Some even set themselves to explain the stage machinery. The players do not forget that they are just amusing themselves, and that they will have to return to the darkness outside the theater, but while on the stage they do their best to give a good performance. I suppose that this is a rather melancholy view of human life, but melancholy is one of the distinctive creations of our species, and not without its own consolations."
"In trying to get votes for the Superconducting Super Collider, I was very much involved in lobbying members of Congress, testifying to them, bothering them, and I never heard any of them talk about postmodernism or social constructivism. You have to be very learned to be that wrong."
"One of the great achievements of science has been, if not to make it impossible for intelligent people to be religious, then at least to make it possible for them not to be religious. We should not retreat from this accomplishment."
"Religion is an insult to human dignity. With or without it you would have good people doing good things and evil people doing evil things. But for good people to do evil things, that takes religion."
"If you have bought one of those T-shirts with Maxwell's equations on the front, you may have to worry about its going out of style, but not about its becoming false. We will go on teaching Maxwellian electrodynamics as long as there are scientists."
"Either by God you mean something definite or you don't mean something definite. If by God you mean a personality who is concerned about human beings, who did all this out of love for human beings, who watches us and who intervenes, then I would have to say in the first place how do you know, what makes you think so? And in the second place, is that really an explanation? If that's true, what explains that? Why is there such a God? It isn't the end of the chain of whys, it just is another step, and you have to take the step beyond that."
"So what happens to the effective field theories of electroweak, strong, and gravitational interactions at energies of order 1015–1018 GeV? I know of only two plausible alternatives. One possibility is that the theory remains a quantum field theory, but one in which the finite or infinite number of renormalized couplings do not run off to infinity with increasing energy, but hit a fixed point of the renormalizable group equations. ... The other possibility, which I have to admit is a priori more likely, is that at very high energy we will run into really new physics, not describable in terms of a quantum field theory. I think that by far the most likely possibility is that this will be something like a string theory."
"The more the universe seems comprehensible, the more it also seems pointless."
"Considering the pervasive importance of quantum mechanics in modern physics, it is odd how rarely one hears of efforts to test quantum mechanics experimentally with high precision.…The trouble is that it is very difficult to find any logically consistent generalization of quantum mechanics. One obvious target for generalization is the linearity of quantum mechanics, but if we arbitrarily add nonlinear terms to the Schrodinger equation, how do we know that the theory we obtain will have a sensible physical interpretation? At least in part, it is the dearth of generalized versions of quantum mechanics that has made it so hard to plan experimental tests of quantum mechanics."
"I really wanted to go on Broadway but I was like - do I want to leave my dogs, my house and my friends for nine months? But then I thought, "Wait a second. If this wasn't being offered to me and I heard there was an audition I'd be desperate to have the job." When you're offered things, it makes it so much easier to be indecisive. And it's silly because you can pass on some really amazing things."
"When I went vegetarian at age eleven, it was a remarkably easy transition. A boy at my school was attempting to kill creatures in the pond. When I tried to stop him, he said, “You eat animals,” like that meant I had no right to try and save something that could end up on my plate later. The hypocrisy of my actions became crystal clear in that moment. I decided, no more meat. … When I first started working for two organizations supporting anti-factory farming, vegan outreach and humane education, my choice to go vegan became that much clearer. I realized veganism is the only diet that can change the world. … You can expect a healthier body, and the feeling of pride that goes hand-in-hand with living according to your values. That’s something that many people aspire to, but few people achieve."
"When I was little, every birthday was big — you just couldn't wait to get older. But a lot of great things happened around 30. From 28 to now has been a time of incredible change and growth, deepening and ripening, good stuff. It's been hard too, because when you're going through that stuff you have to go down into the mud. They've been really interesting years."
"Lance Armstrong: How bad do you want to win a stage in the Tour de France?"
"Him? No way. Absolutely not, he has no conscience."
"If a script writer had come up with a story resembling what you have just achieved, even the Hollywood studios would have refused."
"The perfect athlete is Lance Armstrong. What he achieved, no other human has or, in my opinion, will ever achieve. It's hard enough surviving cancer, but winning seven Tour de France titles after that is amazing. He is a true inspiration to me and makes me believe that nothing is impossible. When you have a dream and work hard at it, it's possible."
"I follow the Tour de France about as much as the average North American person… I only know of it because of the success that Lance Armstrong has had. Michael Jordan was the greatest athlete I ever saw. Tiger Woods is now at a point where he is going to go down in history as something special. There's not a question that Lance Armstrong belongs with those two guys. Not only because of what he has done as an athlete, but also what he has been able to come back from."
"The Tour (de France) is essentially a math problem, a 2,000-mile race over three weeks that's sometimes won by a margin of a minute or less. How do you propel yourself through space on a bicycle, sometimes steeply uphill, at a speed sustainable for three weeks? Every second counts."
"Life, to me, is a series of false limits and my challenge as an athlete is to explore those limits on a bike."
"A life spent defensively, worried, is a life wasted. You know when I need to die? When I'm done living. When I can't walk, can't eat, can't see, when I'm a crotchety old bastard, mad at the world. Then I can die."
"Anything is possible. You can be told you have a 90-percent chance or a 50-percent chance or a 1-percent chance, but you have to believe, and you have to fight. By fight I mean arm yourself with all the available information, get second opinions, third opinions, and fourth opinions. Understand what has invaded your body, and what the possible cures are. It's another fact of cancer that the more informed and empowered patient has a better chance of long-term survival. What if I had lost? What if I relapsed and the cancer came back? I still believe I would have gained something in the struggle, because in what time I had left I would have been a more complete, compassionate, and intelligent man, and therefore more alive."
"I wished hard, but I didn't pray. I had developed a certain distrust of organized religion growing up, but I felt I had the capacity to be a spiritual person, and to hold some fervent beliefs. Quite simply, I believed I had a responsiblity to be a good person, and that meant fair, honest, hardworking, and honorable. If I did that, if I was good to my family, true to my friends, if I gave back to my community or to some cause, if I wasn't a liar, a cheat, or a thief, then I believed that should be enough. At the end of the day, if there was indeed some Body or presence standing there to judge me, I hoped I would be judged on whether I had lived a true life, not on whether I believed in a certain book, or whether I'd been baptized. If there was indeed a God at the end of my days, I hoped he didn't say, "But you were never a Christian, so you're going the other way from heaven." If so, I was going to reply, "You know what? You're right. Fine.""
"I want to die at a hundred years old with an American flag on my back and the star of Texas on my helmet, after screaming down an Alpine descent on a bicycle at 75 miles per hour. I want to cross one last finish line as my wife and my ten children applaud, and then I want to lie down in a field of those famous French sunflowers and gracefully expire, the perfect contradiction to my once anticipated poignant early demise."
"I'm a flawed character... I viewed this situation as one big lie that I repeated a lot of times."
"One of the redeeming things about being an athlete is redefining what is humanly possible."
"Pain is temporary. It may last a minute, or an hour, or a day, or a year, but eventually it will subside and something else will take its place. If I quit, however, it lasts forever."
"All their players tested positive... for being assholes."
"Jake, why are you sitting in the front? I thought you liked it in the rear."
"Finally, the last thing I’ll say to the people who don’t believe in cycling, the cynics and the sceptics: I'm sorry for you. I’m sorry that you can’t dream big. I'm sorry you don't believe in miracles. But this is one hell of a race. This is a great sporting event and you should stand around and believe it. You should believe in these athletes, and you should believe in these people. I'll be a fan of the Tour de France for as long as I live. And there are no secrets — this is a hard sporting event and hard work wins it. So Vive le Tour forever!"
"This is my body, and I can do whatever I want to it. I can push it. Study it. Tweak it. Listen to it. Everybody wants to know what I'm on. What am I on? I'm on my bike busting my ass six hours a day. What are you on?"
"If there was a god, I'd still have both nuts."
"No gifts this year. I have given gifts on the Tour de France and very rarely has it ever come back to help me. This is the biggest bike race in the world and it means more than any bike race in the world. It means more to me than any bike race in the world. I want to win … no gifts."
"I don't have anything against organized religion per se. We all need something in our lives. I personally just have not accepted that belief. But I'm one of the few."
"I'm not happy if I'm not doing some physical suffering, like going out on a bike ride or running. First, it's good for you. No. 2, it sort of clears my mind on a daily basis. And it's a job. My job is to suffer. I make the suffering in training hard so that the races are not full of suffering."
"No one trains like me. No one rides like me. This jersey's mine. I live for this jersey. It's my life. No one's taking it away from me. This fucking jersey's mine."
"Every year the media comes up with something to describe my race … The first year it was "the comeback." Then it was the "the confirmation." I don't know what it was last year. This year, for me, it's "the year of the team." I can't say how I compare to the rider I was in 1999 or 2000 or 2001, but this team is much stronger than it has ever been. It has made it easier for me."