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April 10, 2026
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"The idea of spontaneous symmetry breaking was introduced into particle physics by Nambu ... in 1960. He suggested that the low mass and low-energy interactions of s could be understood as a reflection of a spontaneously-broken chiral symmetry, would have been exact if the up and down quarks were massless. His suggestion was that light quarks condense in the vacuum, much like the s of superconductivity. When this happens, the âhiddenâ chiral symmetry causes the pionsâ masses to vanish, and fixes their low-energy s to s, s and each other."
"It was the great multiplicity of the hadrons that led to the formulation of the quark model. Without some organizing principle such a large collection of particles seemed unwieldy, and the possibility that they might all be elementary offended those who hold the conviction, or at least the fond wish, that nature should be simple."
"Yoichiro Nambu was one of the most influential theoretical physicists of the twentieth century. His deep and unexpected insights often took years for others to understand and fully appreciate. They include: spontaneous symmetry breaking, for which he was awarded half of the 2008 Nobel Prize in Physics; the theory of quarks and gluons; and string theory."
"Ideas and techniques known in quantum electrodynamics have been applied to the Bardeen-Cooper-Schrieffer theory of superconductivity. In an approximation which corresponds to a generalization of the Hartree-Fock fields, one can write down an integral equation defining the self-energy of an electron in an electron gas with phonon and Coulomb interaction. The form of the equation implies the existence of a particular solution which does not follow from perturbation theory, and which leads to the energy gap equation and the quasi-particle picture analogous to Bogolyubov's."
"People ask me often (was) the Nobel Prize the thing you were aiming for all your life? And I say that would be crazy. Nobody would aim for a Nobel Prize because, if you didnât get it, your whole life would be wasted. What we were aiming at was getting people well, and the satisfaction of that is much greater than any prize you can get."
"Donât be afraid of hard work. Nothing worthwhile comes easily. Donât let others discourage you or tell you that you canât do it. In my day I was told women didnât go into chemistry. I saw no reason why we couldnât."
"I had no specific bent toward science until my grandfather died of stomach cancer. I decided that nobody should suffer that much."
"After all, what's the use of having developed a science well enough to make predictions, if in the end all we're willing to do is stand around and wait for them to come true."
"The stampede toward ârational expectationsâ â widely thought to be a ârevolution,â though it was only a generalization of the neoclassical idea of equilibriumâderailed the expectations-driven model building that had just left the station. In the end, this way of modeling has not illuminated how the world economy works."
"What theory can we use to get us out of the impending slump quickly and reliably? To use the 'new classical' theory of fluctuations begun at Chicago in the 1970s â the theory in which the "risk management" models are embedded â is unthinkable, since it is precisely the theory falsified by the asset price collapse. The thoughts of some have turned to John Maynard Keynes. His insights into uncertainty and speculation were deep. Yet his employment theory was problematic and the 'Keynesian' policy solutions are questionable at best....At the end of his life Keynes wrote of 'modernist stuff, gone wrong and turned sour and silly'. He told his friend Friedrich Hayek he intended to re-examine his theory in his next book. He would have moved on. The admiration we all have for Keynes's fabulous contributions should not sway us from moving on."
"When public spending in the form of transfer payments makes various services and benefits free of charge, work is discouraged. Yet it is precisely Social Security that legislators fear to cut"
"Paul's insight is that the infrastructure for creating new ideas is the engine room of economic growth. So we need to pay attention to patents, the number of scientists that are out there, the incentives to do science. And as long as we can keep generating new ideas, we can keep generating economic growth."
"You will almost never see an economist whom the academics themselves regard as important or interesting. For example, niether Robert Lucas, without question the most influential economic theorist of the 1970s, nor Paul Romer, arguably the most influential theorist of the 1980s, has ever appeared on any public affairs program."
"The amazing thing about cities is that they're worth so much more than it costs to build them."
"Romer demonstrates how knowledge can function as a driver of long-term economic growth. . . . Previous macroeconomic research had emphasised technological innovation as the primary driver of economic growth, but had not modelled how economic decisions and market conditions determine the creation of new technologies. Paul Romer solved this problem by demonstrating how economic forces govern the willingness of firms to produce new ideas and innovations."
"Economic growth springs from better recipes, not just from more cooking. New recipes produce fewer unpleasant side effects and generate more economic value per unit of raw material."
"Presenting a model is like doing a card trick. Everybody knows that there will be some sleight of hand. There is no intent to deceive because no one takes it seriously. Perhaps our norms will soon be like those in professional magic; it will be impolite, perhaps even an ethical breach, to reveal how someoneâs trick works."
"The question that I first asked was, why was progress . . . speeding up over time? It arises because of this special characteristic of an idea, which is if [a million people try] to discover something, if any one person finds it, everybody can use the idea."
"Many people think that dealing with protecting the environment will be so costly and so hard that they just want to ignore the problem. I hope the prize today could help everyone see that humans are capable of amazing accomplishments when we set about trying to do something."
"We've maintained accelerating growth over time [in part because of] changes in our institutions. We have things like universities . . . patent laws, [and] research grants which have created incentives for those individuals [who develop innovations] to engage in more discovery. . . . [T]he rules of the game create incentives . . ."
"A crisis is a terrible thing to waste."
"The empirical successes of [the three-factor model] suggest that it is an equilibrium pricing model, a three-factor version of Mertonâs (1973) intertemporal CAPM (ICAPM) or Rossâs (1976) arbitrage pricing theory (APT). In this view, SMB and HML mimic combinations of two underlying risk factors or state variables of special hedging concern to investors."
"Firms that have a high BE/ME (a low stock price relative to book value) tend to have low earnings on assets. Conversely, low BE/ME (a high stock price relative to book value) is associated with persistently high earnings."
"This [covariance] is something that is not in the habit of thinking of most amateur investors. They look at their investments one at a time, and they don't, you always have to go back and say, what's the covariance? That's what really matters for what happen to your portfolio. Because when you invest in a lot of companies that are all the same, you're asking for trouble, because the whole thing is going to either blow up or succeed. And you can't live like that. You have to be looking for low covariance."
"To understand the economy then is to comprehend how it is driven by the animal spirits. Just as Adam Smithâs invisible hand is the keynote of classical economics, Keynesâ animal spirits are the keynote to a different view of the economy â a view that explains the underlying instabilities of capitalism."
"The question is when is good? The answer is never."
"The central question for positive financial economics is valuation â what is the value today of a set of future prospective cash flows? The central question for normative financial economics is the appropriate use of financial instruments in a world in which values are set wholly or partially in accord with the principles of positive financial economics."
"From a more theoretical viewpoint, one can focus on the nexus between the present and the future. A financial instrument typically represents a property right to receive future cash flows. Such cash flows will, of course, come in the future â hence the economics of time must be understood. In many cases the flows are uncertain, hence the need for an approach to the economics of uncertainty. In addition, cash flows in the far future may depend on actions taken (or not taken) in the near future. This gives rise to the need for a theory of the economics of options (broadly construed). Finally, one needs information to estimate likely future outcomes, hence the requirement for an understanding of the economics of information. I define financial economics so that it embraces all four of these important, difficult, and fascinating aspects of economics."
"I was reminded of how much I had misjudged the potential the profession would see in the time series rational expectations models. When I, as a graduate student at the Massachusetts Institute of Technology (MIT) around 1970 did some work on the econometrics of rational expectations time series models, I felt rather apologetic about the extreme assumptions in the models. I did not expect others to regard them as anything more than a passing gimmick. Richard Sutch had just written in his MIT doctoral dissertation (1968) an exposition of the coefficient restrictions implied for time series representations of long-term and short-term interest rates, but he never bothered to publish this work. I remember conversations with him and others about rational expectations models, and I did not come away thinking they were the wave of the future."
"If active managers win, it has to be at the expense of other active managers. And when you add them all up, the returns of active managers have to be literally zero, before costs. Then after costs, it's a big negative sign"
"If assets are priced rationally, variables that are related to average returns, such as size and book-to-market equity, must proxy for sensitivity to common (shared and thus undiversifiable) risk factors in returns. The time-series regressions give direct evidence on this issue. In particular, the slopes and R2 values show whether mimicking portfolios for risk factors related to size and [book-to-market] capture shared variation in stock and bond returns not explained by other factors."
"Our results are disturbing in that, like Fama and French (1992), they suggest that traditional measures of risk do not determine expected returns. In equilibrium asset pricing models the covariance structure of returns determines expected returns. Yet we find that variables that reliably predict the future covariance structure do not predict future returns. Our results indicate that high book-to-market stocks and stocks with low capitalizations have high average returns whether or not they have the return patterns (i.e., covariances) of other small and high book-to-market stocks. Similarly, after controlling for size and book-to-market ratios, a common share that âact likeâ a bond (i.e., has a low market beta) has the same expected return as other common shares with high market betas."
""Any graduate of the ___ Business School should be able to beat an index fund over the course of a market cycle." Statements such as these are made with alarming frequency by investment professionals. In some cases, subtle and sophisticated reasoning may be involved. More often (alas), the conclusions can only be justified by assuming that the laws of arithmetic have been suspended for the convenience of those who choose to pursue careers as active managers."
"Although size and book to market equity seem like ad hoc variables for explaining average stock returns, we have reason to expect that they proxy for common risk factors in returns."
"There is no way to predict the price of stocks and bonds over the next few days or weeks. But it is quite possible to foresee the broad course of these prices over longer periods, such as the next three to five years. These findings, which might seem both surprising and contradictory, were made and analyzed by this yearâs Laureates, Eugene Fama, Lars Peter Hansen and Robert Shiller."
"I view the work I've done related to statistics and economics as roughly speaking, how to do something without having to do everything. So economic models -- how any model by definition isn't right. When someone just says, 'Oh, your model is wrong.' That's not much of an insight. What you want to know is, is wrong in important ways or wrong in ways that are less relevant? And you want to know what does the data really say about the model?"
"Buchananâs work changed political economy in fundamental ways. Thanks to him and his colleagues, three things are true: No one who wishes to talk responsibly about politics can be ignorant of public choice theory. No one should ever invoke the language of market failure (including externalities) without having digested his work on government failure. And people who run around talking about the constitution better be able to understand something of his contributions to constitutional political economy."
"Unlike Kenneth J. Arrow or Robert M. Solow, Buchanan is not a puzzle solver, but rather a system builder, someone who has come up with a whole new paradigm, an innovative way of looking at the world in general and at politics or collective choice in particular (see Horn, 2009, pp. 85â90.) As mentioned, the roots of this are to be found largely in his personal background and his experience and cultural inheritance as a Southerner. From the outset, what interested him more than anything else was how it is possible for people to live in society without infringing on each otherâs rights."
"The basic idea of Buchanan's constitutional economics was that public decision really comes in two stages, not one: the constitutional stage, and the political stage. People generate constitutions that create an institutional environment constrained in ways that they perceive to be beneficial. This has implications for how we think about the subsequent political stage. It rejects that Lysander Spooner take on things that says that unanimous consent is required for just policy decisions, because people will consent to a constitutional arrangement where legislation passes with less than unanimous consent because they think that the whole package of policy that such an institutional environment produces is preferable to policy produced in a unanimous consent environment. You can think about it as a sort of nested optimization."
"The basic concern of Buchanan (e.g. Buchanan, 1975) is to deny that a libertarian position requires the making of ethical judgments of the kind made by social philosophers who 'play God'. ... It follows that liberalism is about determination of the 'correct' contractual procedures which will allow individuals to consent to intervention by government. That procedure, if it is to be compatible with an individualist position, requires, so far as is practically possible, unanimous consent. Therefore, the common procedure used by economists to identify a social welfare function which is then to be 'maximized' implicitly rejects the individualistic decision-making process, which is the only mechanism through which individuals both express preferences and have them acted upon. To claim that preferences can be revealed and acted upon by governments, unencumbered by individuals' consent, is to presuppose that they and their officials will always act in an enlightened and wholly disinterested way. It is a curious paradox that, in the light of Buchanan's distaste for Keynesian elitism (see Buchanan, 1991), there are elements in Keynes's rather fragmentary thinking on political matters which express a sympathy with an individualistic stance."
"His great mind is now still, but he lives on in the ideas he passed on to his students, colleagues, and friends. It has been said that only poets and songwriters are immortal, but as an economist, Jimâs work surely approaches immortality because it will continue to be read and discussed throughout time to come. We still read Adam Smith (at least some of us), and it is a good bet that over 200 years from now, young scholars will pore over Jimâs articles and books in search of ideas, insights, and inspiration. This may not be an eternity, but it is a very long half-life. Better yet, maybe some future political generation will see fit to put our fiscal house in order and in so doing pay homage to our memory of Jim Buchanan. Rest in peace."
"I see at least six James Buchanans: 1. The brilliant academic thinker behind the genius insights of Calculus of Consent. [âŚ] 2. The academic operator seeking to get money from ex-Governor and U.Va. President Darden for the great public choice research project by overpromising how useful his Thomas Jefferson Center for Political Economy would be in providing intellectual weapons to strengthen the political causes of Darden and his friends. 3. The academic operator going beyond what I, at least, regard as the permissible academic pale by imposing a political-ideological litmus test on who he invited into the public choice circleâi.e., not Mancur Olson, or any Olson students or potential Olson students (like me, in my younger days). [âŚ] 4. The grandson of Kentucky Governor John Buchanan, offended that Yankees would dare tell southern gentlemen how to deal with their "peculiar institutions". (And just what are these "Western traditions"? And how near to the core of these "Western traditions" is white supremacy anyway? That the language here is Aesopian is not to Buchanan's credit.) 5. The friend of plutocrats or would-be plutocrats buying into the Hayekian idea that political democracy was, fundamentally, a mistake because the plebes would vote themselves bread-and-circuses and so ultimately destroy civilization. 6. The right-wing activist seeking, in a von Misian or Rothbardian way, to harness and in fact mobilize racial evil to the service of what he regarded as the good of stomping the New Deal and Keynesian economics into oblivion."
"1. He developed the âtheory of clubs,â which sets out the conditions under which private associations supply excludable public goods at optimum levels. 2. For his time he had the best and most rigorous analysis of the incidence of public debt. 3. With Gordon Tullock he pioneered the economic analysis of voting rules in terms of transactions costs and external costs imposed on others. Any current blogosphere discussion of say the filibuster will rely on this approach, though we now take it so for granted we donât realize how impressive it was at the time. 4. He had pioneering economic analyses of bicameralism, logrolling, and other aspects of legislatures, again with Tullock. 5. Along with Harsanyi, he formulated aspects of the âoriginal positionâ before Rawls did and he was a major influence on Rawls. By the way, I have seen Buchanan numerous times with top professional philosophers, and he has no problem holding his own or better. 6. He helped pin down, including on the technical side, the economic concept of externality. 7. He provided the most important revision to optimal tax theory since Ramsey, namely the point that supposedly efficient methods of taxation can be too easy to use. That was in The Power to Tax, with Brennan. His piece on static vs. dynamic versions of the Laffer curve, with Dwight Lee, is also significant. 8. He provided a public choice analysis of why Keynesian economics would not lead to the appropriate budget surpluses during good times and thus would contain dangerous ratchet effects toward excess deficits. 9. He thought through the conflict between subjective and objective notions of value in economics, and the importance of methodologically individualist postulates, more deeply than perhaps any other economist. Most economists hate this work, or refuse to understand it, either because it lowers their status or because it is genuinely difficult to follow or because it requires philosophy. Yet it stands among Buchananâs greatest contributions even if a) I do not myself agree with his approach, and b) I do not think it is easily summarized or even well-explained. Buchanan took Knight and Shackle very seriously and he understood that the typical pragmatic dismissal of their caveats was not in fact well-founded. 10. His Hayekian work on âorder defined only through the process of emergenceâ and âeconomics as a science of exchange and catallacticsâ is a very important take-down of the scientific pretensions of much of economics. It doubted whether the notion of efficiency could be independently conceptualized at all. Again, this work is disliked or ignored. Buchanan may be going too far, but it is a very important and neglected perspective. 11. He thought more consistently in terms of ârules of the gamesâ than perhaps any other economist. This point remains underappreciated and underapplied. It makes technocracy out to be a fundamentally different endeavor. 12. He did important work in the history of economic thought, reviving interest in the Italian school of public finance and public choice. 13. His late papers with Yoon on the work ethic, increasing returns, and economic growth remain underappreciated. I also admire his work with Yoon on the anti-commons."
"Economics is the study of the whole system of exchange relationships. Politics is the study of the whole system of coercive or potentially coercive relationships."
"In short, if Buchanan's argument was that liberal demands for an ever expanding welfare state would lead to chronic deficits, history has shown him to be wrong. If the argument is that the desire for tax cuts and increased military spending, coupled with macroeconomic mismanagement, could lead to large deficits, there is a strong case."
"Individuals do not act so as to maximize utilities described in independently-existing functions. They confront genuine choices, and the sequence of decisions taken may be conceptualized, ex post (after the choices), in terms of âas ifâ functions that are maximized. But these âas ifâ functions are, themselves, generated in the choosing process, not separately from such process. If viewed in this perspective, there is no means by which even the most idealized omniscient designer could duplicate the results of voluntary interchange. The potential participants do not know until they enter the process what their own choices will be. From this it follows that it is logically impossible for an omniscient designer to know, unless, of course, we are to preclude individual freedom of will."
"I did not call him "Fritz." To me he remained always "Professor Hayek," despite his own graciousness in treating me as a peer. I shall not attempt to evaluate Professor Hayek's monumental contribution to our understanding of the events of this turbulent century, to the influence of his ideas on these events themselves or even to the development of economic theory in a strictly scientific sense."
"Well, we havenât learnt yet to live together peacefully... But I donât know what progress really means. Anyway, I think we need to have faith in the fact that there is more out there to be explained. Even the paradigms that we now have, including subjective value theory, for example, are only provisional. Some physicist might believe that ultimately, we will be able to explain everything. To me, that is utterly stupid, just like saying that an atheist is equally dogmatic as a Texas Baptist. It seems to me that, if you accept evolution, you can still not expect your dog to get up and start talking German. And thatâs because your dog is not genetically programmed to do that. We are human animals, and we are equally bound. There are whole realms of discourse out there that we cannot reach, by definition. There are always going to be limits beyond which we cannot go. Knowing that they are there, you can always hope to move a little closer â but thatâs all."
"The hard core in public choice can be summarized in three presuppositions: (1) methodological individualism, (2) rational choice, and (3) politics-as-exchange."
Heute, am 12. Tag schlagen wir unser Lager in einem sehr merkwĂźrdig geformten HĂśhleneingang auf. Wir sind von den Strapazen der letzten Tage sehr erschĂśpft, das Abenteuer an dem groĂen Wasserfall steckt uns noch allen in den Knochen. Wir bereiten uns daher nur ein kurzes Abendmahl und ziehen uns in unsere Kalebassen-Zelte zurĂźck. Dr. Zwitlako kann es allerdings nicht lassen, noch einige Vermessungen vorzunehmen. 2. Aug.
- Das Tagebuch
Es gab sie, mein Lieber, es gab sie! Dieses Tagebuch beweist es. Es berichtet von rätselhaften Entdeckungen, die unsere Ahnen vor langer, langer Zeit während einer Expedition gemacht haben. Leider fehlt der grĂśĂte Teil des Buches, uns sind nur 5 Seiten geblieben.
Also gibt es sie doch, die sagenumwobenen Riesen?
Weil ich so nen Rosenkohl nicht dulde!
- Zwei auĂer Rand und Band
Und ich bin sauer!