1/n: There are some academic papers that are so brilliantly and so accessibly written and so universal in scope that they transcend disciplines and stand as timeless testaments to both great thinking and great writing. Here's a short personal selection:
Paul Krugman on Ricardo's principle of comparative advantage. Somehow Krugman, in explaining one of the subtlest and most interesting ideas in all of economics, manages to cram in brilliant and clear discussions of evolution, philosophy and history web.mit.edu/krugman/www/ri…
Frank Westheimer on why nature chose phosphates: phosphates are ubiquitous in DNA, RNA and other biomolecules. Why these and not sulfates, acetates or any other "ates"? What really jumps out from this paper are Westheimer's brilliantly simple explanations archives.evergreen.edu/webpages/curri…
Bennett on the thermodynamics of computation: Never have I seen anyone marry two disciplines - three if you count the discussions of molecular biology - so brilliantly and simply. IMHO one of the most important disciplinary confluences of the 21st century sites.pitt.edu/~jdnorton/lect…
Freeman Dyson's detailed analysis of how life can survive through thermodynamic optimization in an expanding universe: this paper literally defines the words "audacious" and "creative", and it's not just speculation - Dyson brings hard numbers to the table panspermia.org/revmodphys.51.…
Jack Dunitz on upper limits to the entropic cost of bound water molecules: the best thing about this paper is its length (one page). It's a masterclass in how to use simple calculations to arrive at a universal and useful result. science.org/doi/10.1126/sc…
Fermi, Pasta and Ulam on non-linear problems: This paper exemplifies the "Fermi method" at its most brilliant - take a simple problem, look for simple variations and discover profound, universal laws, in this case the first example of chaos. My piece on it 3quarksdaily.com/3quarksdaily/2…
Philip Anderson's famous "More is Different": I used to literally carry this around all the time in graduate school, in part to explain to physicists why chemistry couldn't be reduced to physics. Anderson captured the very essence of emergence here tkm.kit.edu/downloads/TKM1…
I remember reading this paper in one ecstatic sitting: what I find unique about it is that it probably combines theory and experiment better than any other analysis I know. With it were laid the deep foundations of magnetic resonance. journals.aps.org/pr/abstract/10…
Ken Dill's review of the forces that dictate protein folding. While somewhat outdated, it's an exemplar of pleasurable pedagogy, the kind of paper that makes for great bedside reading. And the basics are still unchanged. pubs.acs.org/doi/10.1021/bi…
Finally, Axelrod and Hamilton's brilliant paper on cooperation: I feel hard-pressed to think of any other paper in biology which draws such far-reaching and universal lessons for all of life based on such simple reasoning and mathematical arguments. websites.umich.edu/~axe/research/…
@readwise unroll
A witty, incisive, wickedly trenchant analysis of systems biology from a master practitioner - Brenner criticizes "the present approach of ‘low input, high throughput, no output’ biology which dominates journals." A must read. royalsocietypublishing.org/doi/10.1098/rs…
Hans Bethe's seminal paper on what makes the sun and stars shine - it's characteristic Bethe: he considers the problem, draws up an exhaustive list of potential solutions and then picks the right one based on the data. Like solving a giant puzzle. journals.aps.org/pr/abstract/10…
Christof Koch's superb analysis of modular complexity in the brain. What I love are his simple combinatorial arguments that make a case not just for understanding the brain but for biological systems as a whole. science.org/doi/10.1126/sc…
William Kaelin's amazing review of pitfalls in cancer target validation is a must-read for cancer researchers and biomedical scientists in general. Kaelin points out very basic and common statistical and methodological traps. Fantastic checklist. nature.com/articles/nrc.2…
I've always loved Lars-Erik De Geer's analysis of how countries could figure out the Teller-Ulam thermonuclear design from the fallout from a nuclear test. Has important scientific as well as geopolitical ramifications. scienceandglobalsecurity.org/archive/1991/1…
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Short thread: There are some seminal ideas in the history of science that can be called "wrong but brilliant". They might fail in their original formulation but become enshrined in science later. One of them was Hermann Weyl's idea of a gauge.
In 1918, Weyl wanted to extend GR to include electromagnetism. In GR, the lengths of vectors are invariant under parallel transport in spacetime. Weyl wanted to give them an additional degree of freedom. He proposed that the vectors' length scale (or "gauge") could vary.
Weyl wanted the physical laws to be invariant under this scale change. This invariance under a local rescaling of the spacetime metric was a "gauge transformation". He thought this gauge invariance would be similar to the transformation of the EM potential in Maxwell's theory.
1/n: On one of Jefferson's most famous and most misunderstood quotes. This quote has often been misunderstood as a general bloodthirsty cry for revolution. In fact it's much more mundane, a specific response to a specific event.
Jefferson's quote was part of a letter sent to John Adams's son-in-law William Smith on November 13, 1787 when Jefferson was in France as U.S. ambassador. The letter was in response to initial reports from the constitutional convention.
Initial reports indicated that the term of the president was to to be from a period of 4 years to potentially for life. Jefferson also thought that this provision was in response to a recent rebellion by farmers in Massachusetts against unfair taxation (Shay's Rebellion).
Thread: Oppenheimer was central to the Manhattan Project’s success and was a phenomenal and inspiring leader, but no one man could have made it work and it’s important to remember that it was still very much a team endeavor. Here are a few people whose key ideas made it possible:
Seth Neddermeyer originally came up with the critical idea of implosion used in the plutonium bomb. Explosives expert George Kistiakowsky made a perfectly spherical explosion work.
James Tuck came up with the idea of using shaped charges and explosives of different burn rates to make implosion accurate. John von Neumann worked out the complex hydrodynamics and details.
A few recent books I have enjoyed reading: 1. Brenda Maddox's moving, informative portrait of Rosalind Franklin giving her her rightful place in history. amazon.com/dp/0060985089?…
2. Stanley Deser's revealing autobiography detailing his escape from the Nazis, work in general relativity, character portraits of famous physicists at Harvard, the IAS etc. amazon.com/dp/981123566X?…
3. Robert Gellately's superb study of the different paths people took to Nazism. Not all worshipped Hitler and were driven, at least initially, by a combination of ideology, opportunism and desperation. Lessons for our times. amazon.com/dp/0190689900?…
This recollection of Ed Witten's early career by a friend from his college days is really something. It shows that even geniuses can meander and flounder quite a bit before making a mark.
The friend is history professor Robert Weisbrot, of Colby College.
1/n: How Niels Bohr predicted Rydberg atoms: In Bohr's original 1913 formulation, the Bohr radius r was proportional to n^2, n being the principal quantum number. Highly excited states would correspond to very large values of n and Bohr predicted these "giant" atoms would exist.
Since the volume scales as r^3 or n^6, for n=33 you should see a "hydrogenic" atom a billion times larger than a ground state hydrogen atom. However, no spectral lines corresponding to such atoms were observed. So was Bohr's theory wrong?
No! Bohr pointed out that unlike physicists, *astronomers* had observed faint spectral lines in the spectra or stars and nebulae, consistent with his theory. Because of the large proportion of gas and low density, he predicted such highly excited states would exist.