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Murray Gell-Mann

Murray Gell-Mann (/ˈmʌri ˈɡɛl ˈmæn/; September 15, 1929 – May 24, 2019)[3][4][5][6] was an American theoretical physicist who played a preeminent role in the development of the theory of elementary particles. Gell-Mann introduced the concept of quarks as the fundamental building blocks of the strongly interacting particles, and the renormalization group as a foundational element of quantum field theory and statistical mechanics. He played key roles in developing the concept of chirality in the theory of the weak interactions and spontaneous chiral symmetry breaking in the strong interactions, which controls the physics of the light mesons. In the 1970s he was a co-inventor of quantum chromodynamics (QCD) which explains the confinement of quarks in mesons and baryons and forms a large part of the Standard Model of elementary particles and forces.

Murray Gell-Mann
Gell-Mann in 2007
Born
Murray Gell-Mann

(1929-09-15)September 15, 1929
Manhattan, New York City, U.S.
DiedMay 24, 2019(2019-05-24) (aged 89)
Santa Fe, New Mexico, U.S.
Alma mater
Known for
Spouses
J. Margaret Dow
​
​
(m. 1955; died 1981)​
​
​
(m. 1992)​
Children2
Awards
Scientific career
FieldsTheoretical Physics
Institutions
ThesisCoupling strength and nuclear reactions (1951)
Doctoral advisorVictor Weisskopf[2]
Doctoral students
Websitesantafe.edu/~mgm[dead link‍]

Murray Gell-Mann received the 1969 Nobel Prize in Physics for his work on the theory of elementary particles.

Life and education

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Gell-Mann was born in Lower Manhattan to a family of Jewish immigrants from the Austro-Hungarian Empire, specifically from Czernowitz in present-day Ukraine.[7][8] His parents were Pauline (née Reichstein) and Arthur Isidore Gelman, who taught English as a second language.[9]

Propelled by an intense boyhood curiosity and love for nature and mathematics, he graduated valedictorian from the Columbia Grammar & Preparatory School aged 14 and subsequently entered Yale College as a member of Jonathan Edwards College.[3][10] At Yale, he participated in the William Lowell Putnam Mathematical Competition and was on the team representing Yale University (along with Murray Gerstenhaber and Henry O. Pollak) that won the second prize in 1947.[11]

Gell-Mann graduated from Yale with a bachelor's degree in physics in 1948 and intended to pursue graduate studies in physics. He sought to remain in the Ivy League for his graduate education and applied to Princeton University as well as Harvard University. He was rejected by Princeton and accepted by Harvard, but the latter institution was unable to offer him needed financial assistance.

He was accepted by the Massachusetts Institute of Technology (MIT) and received a letter from Victor Weisskopf urging him to attend MIT and become Weisskopf's research assistant. This would provide Gell-Mann with the financial assistance he required. Unaware of MIT's eminent status in physics research, Gell-Mann was "miserable" with the fact that he would not be able to attend Princeton or Harvard and in characteristic dark irony, said he considered suicide. Gell-Mann stated that he realized he could try to first enter MIT and commit suicide afterwards if he found it to be truly terrible. However, he couldn't first choose suicide and then attend MIT; the two "didn't commute", as Gell-Mann said.[12][13] He received his Ph.D. in physics from MIT in 1951 after completing a doctoral dissertation, titled "Coupling strength and nuclear reactions", under the supervision of Weisskopf.[14][15][2]

Subsequently, Gell-Mann was a postdoctoral fellow at the Institute for Advanced Study at Princeton in 1951,[3] and a visiting research professor at the University of Illinois at Urbana–Champaign from 1952 to 1953.[16] He was a visiting associate professor at Columbia University and an associate professor at the University of Chicago in 1954–1955, before moving to the California Institute of Technology, where he taught from 1955 until he retired in 1993.[17] He was on sabbatical at the Collège de France for the academic year 1958–1959.[18]

Gell-Mann married J. Margaret Dow in 1955; they had a daughter and a son. Margaret died in 1981, and in 1992 he married Marcia Southwick, whose son became his stepson.[3]

In 2011, Gell-Mann attended an event on Jeffrey Epstein's private island, Little Saint James, known as the "Mindshift Conference", hosted by Epstein and Al Seckel.[19][20]

Gell-Mann's extensive interests outside of physics included archaeology, numismatics, birdwatching and linguistics.[21][22] Along with S. A. Starostin, he established the Evolution of Human Languages project[23] at the Santa Fe Institute. As a humanist and an agnostic, Gell-Mann was a Humanist Laureate in the International Academy of Humanism.[24][25] Novelist Cormac McCarthy saw Gell-Mann as a polymath who "knew more things about more things than anyone I've ever met...losing Murray is like losing the Encyclopædia Britannica."[26]

Gell-Mann died on May 24, 2019, at his home in Santa Fe, New Mexico.[3][22][27]

Professional life

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Gell-Mann was the Robert Andrews Millikan Professor of Theoretical Physics Emeritus at California Institute of Technology as well as a university professor in the physics and astronomy department of the University of New Mexico in Albuquerque, New Mexico, and the Presidential Professor of Physics and Medicine at the University of Southern California.[28] He was a member of the editorial board of the Encyclopædia Britannica.

Gell-Mann spent several periods at CERN, a nuclear research facility in Switzerland, among others as a John Simon Guggenheim Memorial Foundation fellow in 1972.[29][30]

In 1984 Gell-Mann was one of several co-founders of the Santa Fe Institute—a non-profit theoretical research institute in Santa Fe, New Mexico intended to study various aspects of a complex system and disseminate the notion of a separate interdisciplinary study of complexity theory.[31][32]

 
Murray Gell-Mann in Nice, 2012

He wrote a popular science book about physics and complexity science, The Quark and the Jaguar: Adventures in the Simple and the Complex (1994).[33] The title of the book is taken from a line of a poem by Arthur Sze: "The world of the quark has everything to do with a jaguar circling in the night".[34][35]

The author George Johnson has written a biography of Gell-Mann, Strange Beauty: Murray Gell-Mann, and the Revolution in 20th-Century Physics (1999),[36] which was shortlisted for the Royal Society Book Prize. [37] Although Gell-Mann himself criticized Strange Beauty for some inaccuracies, with one interviewer reporting him wincing at the mention of it, the book was acclaimed by a number of his colleagues. [38] A revised second edition was published in 2023 by the Santa Fe Institute Press with a foreword by Douglas Hofstadter.[39]

In 2012 Gell-Mann and his companion Mary McFadden published the book Mary McFadden: A Lifetime of Design, Collecting, and Adventure.[40]

Scientific contributions

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In 1958, Gell-Mann in collaboration with Richard Feynman, in parallel with the independent team of E. C. George Sudarshan and Robert Marshak, discovered the chiral structures of the weak interaction of physics and developed the V-A theory (vector minus axial vector theory).[41] This work followed the experimental discovery of the violation of parity by Chien-Shiung Wu, as suggested theoretically by Chen-Ning Yang and Tsung-Dao Lee.[42]

Gell-Mann's work in the 1950s involved recently discovered cosmic ray particles that came to be called kaons and hyperons. Classifying these particles led him to propose that a quantum number, called strangeness, would be conserved by the strong and the electromagnetic interactions, but not by the weak interaction.[43] Another of Gell-Mann's ideas is the Gell-Mann–Okubo formula, which was, initially, a formula based on empirical results, but was later explained by his quark model.[44] Gell-Mann and Abraham Pais were involved in explaining this puzzling aspect of the neutral kaon mixing.[45]

Murray Gell-Mann's fortunate encounter with mathematician Richard Earl Block at Caltech, in the fall of 1960, "enlightened" him to introduce a novel classification scheme, in 1961, for hadrons.[46][47] A similar scheme had been independently proposed by Yuval Ne'eman, and has come to be explained by the quark model.[48] Gell-Mann referred to the scheme as the eightfold way, because of the octets of particles in the classification (the term is a reference to the Eightfold Path of Buddhism).[3][15]

Gell-Mann, along with Maurice Lévy, developed the sigma model of pions, which describes low-energy pion interactions.[49]

In 1964, Gell-Mann and, independently, George Zweig went on to postulate the existence of quarks, particles which make up the hadrons of this scheme. The name "quark" was coined by Gell-Mann, and is a reference to the novel Finnegans Wake, by James Joyce ("Three quarks for Muster Mark!" book 2, episode 4). Zweig had referred to the particles as "aces",[50] but Gell-Mann's name caught on. Quarks, antiquarks, and gluons were soon established as the underlying elementary objects in the study of the structure of hadrons. He was awarded a Nobel Prize in Physics in 1969 for his contributions and discoveries concerning the classification of elementary particles and their interactions.[51]

In the 1960s, he introduced current algebra as a method of systematically exploiting symmetries to extract predictions from quark models, in the absence of reliable dynamical theory. This method led to model-independent sum rules confirmed by experiment, and provided starting points underpinning the development of the Standard Model (SM), the widely accepted theory of elementary particles.[52][53]

In 1972 Gell-Mann, while on sabbatical leave to CERN, together with Harald Fritzsch, Heinrich Leutwyler and William A. Bardeen, considered a Yang-Mills theory of "quark color," and coined the term quantum chromodynamics (QCD) as the gauge theory of the strong interaction.[54] The quark model is a part of QCD, and it has been robust enough to accommodate in a natural fashion the discovery of new "flavors" of quarks, which has superseded the eightfold way scheme.[55]

Gell-Mann was responsible, with Pierre Ramond and Richard Slansky,[56] and independently of Peter Minkowski, Rabindra Mohapatra, Goran Senjanović, Sheldon Glashow, and Tsutomu Yanagida, for proposing the seesaw theory of neutrino masses. This produces masses at the large scale in any theory with a right-handed neutrino. He is also known to have played a role in keeping string theory alive through the 1970s and early 1980s, supporting that line of research at a time when it was a topic of niche interest.[57][58]

Gell-Mann was a proponent of the consistent histories approach to understanding quantum mechanics, which he advocated in papers with James Hartle.[58][59]

Awards and honors

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Gell-Mann won numerous awards and honours including the following:

Universities that gave Gell-Mann honorary doctorates include Cambridge, Columbia, the University of Chicago, Oxford and Yale.[21]

See also

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References

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  1. ^ a b "Professor Murray Gell-Mann ForMemRS". London: Royal Society. Archived from the original on November 17, 2015.
  2. ^ a b c d e f g h Murray Gell-Mann at the Mathematics Genealogy Project
  3. ^ a b c d e f Johnson, George (May 24, 2019). "Murray Gell-Mann, Who Peered at Particles and Saw the Universe, Dies at 89". Obituaries. The New York Times. ISSN 0362-4331. Archived from the original on May 25, 2019. Retrieved May 24, 2019.
  4. ^ Hill, Christopher T. (2020). "Murray Gell-Mann". Physics Today. 73 (5): 63. Bibcode:2020PhT....73e..63H. doi:10.1063/PT.3.4480.
  5. ^ "Caltech Mourns the Passing of Murray Gell-Mann (1929–2019)". California Institute of Technology. May 24, 2019. Archived from the original on April 19, 2021. Retrieved May 25, 2019.
  6. ^ Carroll, Sean (May 28, 2019). "The Physicist Who Made Sense of the Universe - Murray Gell-Mann's discoveries illuminated the most puzzling aspects of nature, and changed science forever". The New York Times. Archived from the original on July 16, 2023. Retrieved May 28, 2019.
  7. ^ M. Gell-Mann (October 1997). "My Father". Web of Stories. Archived from the original on August 29, 2012. Retrieved October 1, 2010.
  8. ^ J. Brockman (2003). "The Making of a Physicist: A talk with Murray Gell-Mann". Edge Foundation, Inc. Archived from the original on May 17, 2021. Retrieved October 1, 2010.
  9. ^ Profile Archived June 1, 2021, at the Wayback Machine, NNDB; accessed April 26, 2015.
  10. ^ "Notable Alumni". Jonathan Edwards College. Archived from the original on May 27, 2019. Retrieved May 27, 2019.
  11. ^ G. W. Mackey (1947). "The William Lowell Putnam Mathematical Competition". The American Mathematical Monthly. 54 (7): 400–3. doi:10.1080/00029890.1947.11990193. JSTOR 2304390.
  12. ^ Murray Gell-Mann - MIT or suicide (17/200), August 11, 2011, archived from the original on December 11, 2021, retrieved June 6, 2020
  13. ^ Strogatz, Steven (2013). The Joy of x: A Guided Tour of Math, from One to Infinity. Mariner Books. p. 27. ISBN 978-0544105850.
  14. ^ Gell-Mann, Murray (1951). Coupling strength and nuclear reactions (Thesis thesis). Massachusetts Institute of Technology. hdl:1721.1/12195. Archived from the original on January 28, 2023. Retrieved June 6, 2020.
  15. ^ a b "Murray Gell-Mann, Nobel Prize-winning physicist who named quarks, dies at 89". The Guardian. May 26, 2019. Archived from the original on August 4, 2020. Retrieved May 27, 2019.
  16. ^ in 1954, there, working with Francis E. Low, he discovered the renormalization group equation of QED.
  17. ^ "Interview with Murray Gell-Mann [Oral History]". Caltech Institute Archives. Archived from the original on February 21, 2024. Retrieved May 25, 2019.
  18. ^ Glashow, Sheldon Lee (July 2019). "In Memoriam. Murray Gell-Mann". Inference. 4 (4). doi:10.37282/991819.19.42. S2CID 241304235. Archived from the original on February 3, 2024. Retrieved November 8, 2023.
  19. ^ "Jeffrey Epstein to Host Mindshift Conference". Archived from the original on November 11, 2010. Retrieved June 1, 2024.{{cite web}}: CS1 maint: bot: original URL status unknown (link)
  20. ^ Masters, Kim (September 18, 2019). "The Strange Saga of Jeffrey Epstein's Link to a Child Star Turned Cryptocurrency Mogul". The Hollywood Reporter. Retrieved July 12, 2024.
  21. ^ a b c d "Murray Gell-Mann – Biographical". The Nobel Prize. Archived from the original on December 9, 2023. Retrieved May 25, 2019.
  22. ^ a b Marshall, Jenna (May 24, 2019). "Murray Gell-Mann passes away at 89". Santa Fe Institute (Press release). Archived from the original on November 2, 2023. Retrieved May 24, 2019.
  23. ^ Peregrine, Peter Neal (2009). Ancient Human Migrations: A Multidisciplinary Approach. The University of Utah Press. p. ix. ISBN 978-0-87480-942-8. Sergei Starostin and I established the Evolution of Human Languages project
  24. ^ The International Academy of Humanism Archived April 24, 2008, at the Wayback Machine at the website of the Council for Secular Humanism. Retrieved October 18, 2007. Some of this information is also at the International Humanist and Ethical Union Archived April 18, 2012, at the Wayback Machine website
  25. ^ Herman Wouk (2010). The Language God Talks: On Science and Religion. Hachette Digital, Inc. ISBN 9780316096751. Feynman, Gell-Mann, Weinberg, and their peers accept Newton's incomparable stature and shrug off his piety, on the kindly thought that the old man got into the game too early. ... As for Gell-Mann, he seems to see nothing to discuss in this entire God business, and in the index to The Quark and the Jaguar God goes unmentioned. Life he called a "complex adaptive system", which produces interesting phenomena such as the jaguar and Murray Gell-Mann, who discovered the quark. Gell-Mann is a Nobel-class tackler of problems, but for him the existence of God is not one of them.
  26. ^ Frazier, Kendrick (2019). "In Memory of Murray Gell-Mann, Who Gave Us Quarks and Ordered the Subatomic World". Skeptical Inquirer. 43 (5): 10.
  27. ^ Dombey, Norman (June 2, 2019). "Murray Gell-Mann obituary". The Guardian. ISSN 0261-3077. Archived from the original on May 23, 2024. Retrieved June 6, 2019.
  28. ^ "Nobel Prize Winner Appointed Presidential Professor at USC". Archived from the original on September 19, 2010.
  29. ^ Gell-Mann, M. (1972). "Quarks". Elementary Particle Physics. Springer. pp. 733–761. doi:10.1007/978-3-7091-4034-5_20. ISBN 978-3-7091-4036-9.
  30. ^ Scientific publications of M. Gell-Mann Archived June 3, 2019, at the Wayback Machine on INSPIRE-HEP
  31. ^ Mitchell M. Waldrop (1993). Complexity: The Emerging Science at the Edge of Order and Chaos. Simon & Schuster. ISBN 9780671872342.
  32. ^ George A. Cowan (2010). Manhattan Project to the Santa Fe Institute: The Memoirs of George A. Cowan. University of New Mexico Press.
  33. ^ Reviews of The Quark and the Jaguar:
  34. ^ "Murray Gell-Mann – Physicist – The decision to write "The Quark and the Jaguar" – Web of Stories". Archived from the original on August 5, 2020. Retrieved July 17, 2020.
  35. ^ "Murray Gell-Mann - The decision to write "The Quark and the Jaguar" (190/200)". YouTube. May 11, 2016. Archived from the original on December 11, 2021. Retrieved July 17, 2020.
  36. ^ Johnson, George. "Strange Beauty". Talaya.net. Archived from the original on May 8, 2019. Retrieved June 3, 2019.[unreliable source?]
  37. ^ Royal Society Insight Investment Science Book Prize winners list at docs.google.com/spreadsheets Archived October 23, 2019, at the Wayback Machine Retrieved February 15, 2017
  38. ^ Rodgers, Peter (June 1, 2003). "The many worlds of Murray Gell-Mann". Physics World. Archived from the original on November 2, 2023. Retrieved May 26, 2019. In a review in the Caltech magazine Engineering & Science, Gell-Mann's colleague, the physicist David Goodstein, wrote: "I don't envy Murray the weird experience of reading so penetrating and perceptive a biography of himself. George Johnson has written a fine biography of this important and complex man". Goodstein, David L. (1999). "Strange Beauty: Murray Gell-Mann and the Revolution in Twentieth-Century Physics". Engineering and Science. 62 (4). Caltech. ISSN 0013-7812. Archived from the original on May 29, 2019. Retrieved June 3, 2019.. Physicist and Nobel laureate Philip Anderson, called the book "a masterpiece of scientific explication for the layman" and a "must read" in a review for the Times Higher Education Supplement and in his chapter on Gell-Mann from a 2011 book.Anderson, Philip W. (2011). "Ch. V Genius. Search for Polymath's Elementary Particles". More and Different: Notes from a Thoughtful Curmudgeon. World Scientific. pp. 241–2. ISBN 978-981-4350-14-3. Philip Anderson, More and Different, Chapter V, World Scientific, 2011. Sheldon Glashow, another Nobel laureate, gave Strange Beauty a generally positive review while noting some inaccuracies, Glashow, Sheldon Lee (2000). "Strange Beauty: Murray Gell-Mann and the Revolution in Twentieth-Century Physics". American Journal of Physics. 68 (6): 582. Bibcode:2000AmJPh..68..582J. doi:10.1119/1.19489. and physicist and science historian Silvan S. Schweber called the book "an elegant biography of one of the outstanding theorists of the twentieth century" though he noted that Johnson did not go into depth about Gell-Mann's work with military–industrial organizations like the Institute for Defense Analyses. Schweber, Silvan S. (2000). "Strange Beauty: Murray Gell-Mann and the Revolution in Twentieth-Century Physics". Physics Today. 53 (8): 43–44. Bibcode:2000PhT....53h..43J. doi:10.1063/1.1310122. Johnson has written that Gell-Mann was a perfectionist and that The Quark and the Jaguar was consequently submitted late and incomplete.Johnson, George (July 1, 2000). "The Jaguar and the Fox". The Atlantic. Archived from the original on May 5, 2019. Retrieved May 27, 2019. In an item on Edge.org, Johnson described the back story of his relationship with Gell-Mann West, Geoffrey (May 28, 2019). "Remembering Murray". Edge Foundation, Inc. Archived from the original on May 28, 2019. Retrieved June 3, 2019. and noted that an errata sheet appears on the biography's webpage. Johnson, George. "Errata". Talaya.net. Archived from the original on May 28, 2019. Retrieved June 3, 2019.. Gell-Mann's one-time Caltech associate Stephen Wolfram called Johnson's book "a very good biography of Murray, which Murray hated". name=wolfram>Stephen Wolfram, Remembering Murray Gell-Mann (1929-2019), Inventor of Quarks Archived June 1, 2019, at the Wayback Machine Wolfram also wrote that Gell-Mann thought the writing of The Quark and the Jaguar to be responsible for a heart attack he (Gell-Mann) had had.
  39. ^ "Strange Beauty: Murray Gell-Mann & the Revolution in Physics". SFI Press. Archived from the original on November 26, 2023. Retrieved November 26, 2023.
  40. ^ Mary McFadden; Murray Gell-Mann (2012). Mary McFadden: A Lifetime of Design, Collecting, and Adventure. Random House Incorporated. ISBN 978-0-8478-3656-7.
  41. ^ Sudarshan, E. C. G.; Marshak, R. E. (June 1, 2016). "Origin of the Universal V-A theory". AIP Conference Proceedings. 300 (1): 110–124. doi:10.1063/1.45454. hdl:2152/29431. ISSN 0094-243X. S2CID 10153816.
  42. ^ Gleick, James (1992). Genius: The Life and Science of Richard Feynman. Pantheon Books. ISBN 0-679-40836-3. OCLC 243743850.
  43. ^ Gell-Mann, M. (1956). "The Interpretation of the New Particles as Displaced Charge Multiplets". Il Nuovo Cimento. 4 (supplement 2): 848–866. Bibcode:1956NCim....4S.848G. doi:10.1007/BF02748000. S2CID 121017243.
  44. ^ Georgi, Howard (1999). Lie Algebras in Particle Physics: from Isospin to Unified Theories (2nd ed.). Perseus Books. ISBN 9780738202334. OCLC 479362196.
  45. ^ Squires, Gordon Leslie (July 26, 1999). "Quantum mechanics – Applications of quantum mechanics – Decay of the Kaon". Encyclopedia Britannica. Archived from the original on March 28, 2023. Retrieved May 27, 2019.
  46. ^ Gell-Mann, M. (March 15, 1961). The Eightfold Way: A Theory of Strong Interaction Symmetry (Report). Pasadena, CA: California Inst. of Tech., Synchrotron Laboratory. doi:10.2172/4008239. TID-12608. Archived from the original on March 9, 2020. Retrieved May 25, 2019 – via OSTI.GOV.
  47. ^ Murray Gell-Mann - Sheldon Glashow. The SU(2) times U1 theory: Part 2 (91/200). Web of Stories. May 19, 2016. Archived from the original on December 11, 2021. Retrieved June 3, 2019 – via YouTube.
  48. ^ Ne'eman, Y. (August 1961). "Derivation of Strong Interactions from a Gauge Invariance". Nuclear Physics. 26 (2). Amsterdam: North-Holland Publishing Co.: 222–229. Bibcode:1961NucPh..26..222N. doi:10.1016/0029-5582(61)90134-1.
  49. ^ Gell-Mann, M.; Lévy, M. (1960). "The axial vector current in beta decay". Il Nuovo Cimento. 16 (4): 705–726. Bibcode:1960NCim...16..705G. doi:10.1007/BF02859738. S2CID 122945049.
  50. ^ G. Zweig (1980) [1964]. "An SU(3) model for strong interaction symmetry and its breaking II". In D. Lichtenberg; S. Rosen (eds.). Developments in the Quark Theory of Hadrons. Vol. 1. Hadronic Press. pp. 22–101. doi:10.17181/CERN-TH-412.
  51. ^ Simple listing of Nobel Prize in Physics, 1969 Archived July 13, 2012, at the Wayback Machine Retrieved February 15, 2017
  52. ^ Ellis, John (2011). "Prospects for New Physics at the LHC". In Fritzsch, Harald; Phua, K. K.; Baaquie, B. E. (eds.). Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday: Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity : Nanyang Technological University, Singapore, February 24–26, 2010. World Scientific. ISBN 9789814335607.
  53. ^ Cao, Tian Yu (2010). From Current Algebra to Quantum Chromodynamics: A Case for Structural Realism. Cambridge University Press. ISBN 9781139491600.
  54. ^ Fritzsch, H.; Gell-Mann, M.; Leutwyler, H. (1973). "Advantages of the color octet gluon picture". Physics Letters. 47B (4): 365–368. Bibcode:1973PhLB...47..365F. CiteSeerX 10.1.1.453.4712. doi:10.1016/0370-2693(73)90625-4.
  55. ^ Baez, John C. (2003). "The Eightfold Way". Quantum Gravity Seminar — Spring 2003. University of California, Riverside. Archived from the original on February 15, 2019. Retrieved May 28, 2019.
  56. ^ M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, ed. by D. Freedman and P. Van Nieuwenhuizen, North Holland, Amsterdam (1979), pp. 315–321. ISBN 044485438X
  57. ^ Rickles, Dean (2014). A Brief History of String Theory: From Dual Models to M-Theory. Springer Science & Business Media. ISBN 9783642451287. OCLC 968779591.
  58. ^ a b Siegfried, Tom (May 24, 2019). "Murray Gell-Mann gave structure to the subatomic world". Science News. Archived from the original on May 25, 2019. Retrieved May 26, 2019.
  59. ^ Kent, Adrian (April 14, 1997). "Consistent Sets Yield Contrary Inferences in Quantum Theory". Physical Review Letters. 78 (15): 2874–2877. arXiv:gr-qc/9604012. Bibcode:1997PhRvL..78.2874K. doi:10.1103/PhysRevLett.78.2874. S2CID 16862775.
  60. ^ "1959 Dannie Heineman Prize for Mathematical Physics Recipient". American Physical Society. Archived from the original on February 3, 2007. Retrieved May 25, 2019. For his contributions to field theory and to the theory of elementary particles.
  61. ^ Gell-Mann listing at member-directory of nasonline.org Archived March 24, 2019, at the Wayback Machine Retrieved February 15, 2017
  62. ^ "Murray Gell-Mann, Ph.D. Biography and Interview". Academy of Achievement. American Academy of Achievement. Archived from the original on February 16, 2024. Retrieved April 17, 2019.
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  64. ^ "Murray Gell-Mann 1966". US Department of Energy, Ernest Orlando Lawrence Award. May 3, 2016. Archived from the original on May 22, 2017. Retrieved May 25, 2019. For his contributions of the highest significance to the theory of elementary and theoretical work in the field of physics.
  65. ^ "Murray Gell-Mann, Physics (1967)". The Franklin Institute. January 15, 2014. Archived from the original on February 23, 2021. Retrieved May 25, 2019.
  66. ^ "John J. Carty Award for the Advancement of Science". National Academy of Sciences. Archived from the original on December 29, 2010. Retrieved March 7, 2011.
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  68. ^ "APS Member History". Archived from the original on March 15, 2022. Retrieved March 15, 2022.
  69. ^ "Albert Einstein Medal". Einstein Society | Einsteinhaus Bern. Archived from the original on January 24, 2019. Retrieved May 25, 2019.
  70. ^ "The Humanist of the Year". American Humanist Association. Archived from the original on June 7, 2020. Retrieved May 25, 2019.
  71. ^ Press Release, 10–2014, from Berlin-Brandenburgische Akademie der Wissenschaften Archived May 25, 2019, at the Wayback Machine Retrieved February 15, 2017

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