Freeman Dyson (2005)
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Freeman John Dyson (15 December 1923 – 28 February 2020) was a British-American
theoretical physicist Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimen ...
and mathematician known for his works in
quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
,
astrophysics Astrophysics is a science that employs the methods and principles of physics and chemistry in the study of astronomical objects and phenomena. As one of the founders of the discipline said, Astrophysics "seeks to ascertain the nature of the h ...
,
random matrices In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathemat ...
,
mathematical formulation of quantum mechanics The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which ...
,
condensed matter physics Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter, especially the solid and liquid phases which arise from electromagnetic forces between atoms. More generally, the sub ...
,
nuclear physics Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter. Nuclear physics should not be confused with atomic physics, which studies the ...
, and
engineering Engineering is the use of scientific method, scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings. The discipline of engineering encompasses a broad rang ...
. He was professor emeritus in the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
in
Princeton Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the nine ...
and a member of the board of sponsors of the ''
Bulletin of the Atomic Scientists The ''Bulletin of the Atomic Scientists'' is a nonprofit organization concerning science and global security issues resulting from accelerating technological advances that have negative consequences for humanity. The ''Bulletin'' publishes conte ...
''. Dyson originated several concepts that bear his name, such as Dyson's transform, a fundamental technique in
additive number theory Additive number theory is the subfield of number theory concerning the study of subsets of integers and their behavior under addition. More abstractly, the field of additive number theory includes the study of abelian groups and commutative semigr ...
, which he developed as part of his proof of
Mann's theorem In additive number theory, the Schnirelmann density of a sequence of numbers is a way to measure how "dense" the sequence is. It is named after Russian mathematician Lev Schnirelmann, who was the first to study it.Schnirelmann, L.G. (1930).On the a ...
; the
Dyson tree A Dyson tree is an hypothetical genetically engineered plant (perhaps resembling a tree) capable of growing inside a comet, suggested by the physicist Freeman Dyson. Plants may be able to produce a breathable atmosphere within the hollow spaces ...
, a hypothetical
genetically engineered Genetic engineering, also called genetic modification or genetic manipulation, is the modification and manipulation of an organism's genes using technology. It is a set of technologies used to change the genetic makeup of cells, including t ...
plant Plants are predominantly photosynthetic eukaryotes of the kingdom Plantae. Historically, the plant kingdom encompassed all living things that were not animals, and included algae and fungi; however, all current definitions of Plantae exclud ...
capable of growing in a
comet A comet is an icy, small Solar System body that, when passing close to the Sun, warms and begins to release gases, a process that is called outgassing. This produces a visible atmosphere or coma, and sometimes also a tail. These phenomena ar ...
; the
Dyson series In scattering theory, a part of mathematical physics, the Dyson series, formulated by Freeman Dyson, is a perturbative expansion of the time evolution operator in the interaction picture. Each term can be represented by a sum of Feynman diagrams. ...
, a
perturbative In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for whi ...
series where each term is represented by
Feynman diagram In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic particles. The scheme is named after American physicist Richard Feynman, who introduc ...
s; the
Dyson sphere A Dyson sphere is a hypothetical megastructure that completely encompasses a star and captures a large percentage of its solar power output. The concept is a thought experiment that attempts to explain how a spacefaring civilization would meet ...
, a
thought experiment A thought experiment is a hypothetical situation in which a hypothesis, theory, or principle is laid out for the purpose of thinking through its consequences. History The ancient Greek ''deiknymi'' (), or thought experiment, "was the most anci ...
that attempts to explain how a space-faring civilization would meet its energy requirements with a hypothetical
megastructure A megastructure is a very large artificial object, although the limits of precisely how large vary considerably. Some apply the term to any especially large or tall building. Some sources define a megastructure as an enormous self-supporting a ...
that completely encompasses a
star A star is an astronomical object comprising a luminous spheroid of plasma (physics), plasma held together by its gravity. The List of nearest stars and brown dwarfs, nearest star to Earth is the Sun. Many other stars are visible to the naked ...
and captures a large percentage of its power output; and
Dyson's eternal intelligence Dyson's eternal intelligence concept (the Dyson Scenario), proposed by Freeman Dyson in 1979, proposes a means by which an immortal society of intelligent beings in an open universe may escape the prospect of the heat death of the universe by ex ...
, a means by which an
immortal Immortality is the ability to live forever, or eternal life. Immortal or Immortality may also refer to: Film * ''The Immortals'' (1995 film), an American crime film * ''Immortality'', an alternate title for the 1998 British film '' The Wisdom of ...
society of intelligent beings in an
open universe The shape of the universe, in physical cosmology, is the local and global geometry of the universe. The local features of the geometry of the universe are primarily described by its curvature, whereas the topology of the universe describes ge ...
could escape the prospect of the
heat death of the universe The heat death of the universe (also known as the Big Chill or Big Freeze) is a hypothesis on the ultimate fate of the universe, which suggests the universe will evolve to a state of no thermodynamic free energy, and will therefore be unabl ...
by extending
subjective time The study of time perception or chronoception is a field within psychology, cognitive linguistics and neuroscience that refers to the subjective experience, or sense, of time, which is measured by someone's own perception of the duration of the ind ...
to infinity while expending only a finite amount of energy. Dyson disagreed with the
scientific consensus on climate change There is a strong scientific consensus that the Earth is warming and that this warming is mainly caused by human activities. This consensus is supported by various studies of scientists' opinions and by position statements of scientific org ...
. He believed that some of the effects of increased CO levels are favourable and not taken into account by climate scientists, such as increased agricultural yield, and further that the positive benefits of CO likely outweigh the negative effects. He was sceptical about the simulation models used to predict
climate change In common usage, climate change describes global warming—the ongoing increase in global average temperature—and its effects on Earth's climate system. Climate change in a broader sense also includes previous long-term changes to E ...
, arguing that political efforts to reduce causes of climate change distract from other global problems that should take priority.


Biography


Early life

Dyson was born on 15 December 1923, in
Crowthorne Crowthorne is a large village and civil parish in the Bracknell Forest district of south-eastern Berkshire, England. It had a population of 6,711 at the 2001 census, which rose to 6,902 at the 2011 census. A 2020 estimate put it at 7,808. Cr ...
in
Berkshire Berkshire ( ; in the 17th century sometimes spelt phonetically as Barkeshire; abbreviated Berks.) is a historic county in South East England. One of the home counties, Berkshire was recognised by Queen Elizabeth II as the Royal County of Berk ...
,
England England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe b ...
. He was the son of Mildred () and the composer George Dyson, who was later knighted. His mother had a law degree, and after Dyson was born she worked as a social worker. Dyson had one sibling, his older sister, Alice, who remembered him as a boy surrounded by encyclopedias and always calculating on sheets of paper. At the age of four he tried to calculate the number of atoms in the Sun. As a child, he showed an interest in large numbers and in the solar system, and was strongly influenced by the book ''
Men of Mathematics ''Men of Mathematics: The Lives and Achievements of the Great Mathematicians from Zeno to Poincaré'' is a book on the history of mathematics published in 1937 by Scottish-born American mathematician and science fiction writer E. T. Bell (1883 ...
'' by
Eric Temple Bell Eric Temple Bell (7 February 1883 – 21 December 1960) was a Scottish-born mathematician and science fiction writer who lived in the United States for most of his life. He published non-fiction using his given name and fiction as John Tai ...
. Politically, Dyson said he was "brought up as a socialist". From 1936 to 1941 Dyson was a scholar at
Winchester College Winchester College is a public school (fee-charging independent day and boarding school) in Winchester, Hampshire, England. It was founded by William of Wykeham in 1382 and has existed in its present location ever since. It is the oldest of the ...
, where his father was Director of Music. At the age of 17 he studied pure mathematics with
Abram Besicovitch Abram Samoilovitch Besicovitch (or Besikovitch) (russian: link=no, Абра́м Само́йлович Безико́вич; 23 January 1891 – 2 November 1970) was a Russian mathematician, who worked mainly in England. He was born in Berdyansk ...
as his tutor at
Trinity College, Cambridge Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge ...
, where he won a scholarship at age 15. During this stay, Dyson also practised
night climbing Night climbing is a term used, principally at the Oxford and Cambridge universities in England, to describe the sport of climbing up the walls of colleges and public buildings, and exploring the rooftops. This activity is frowned on by college auth ...
on the university buildings, and once walked from
Cambridge Cambridge ( ) is a university city and the county town in Cambridgeshire, England. It is located on the River Cam approximately north of London. As of the 2021 United Kingdom census, the population of Cambridge was 145,700. Cambridge bec ...
to
London London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has been a majo ...
in a day with his friend Oscar Hahn, nephew of
Kurt Hahn Kurt Matthias Robert Martin Hahn (5 June 1886, Berlin – 14 December 1974, Hermannsberg) was a German educator. He was decisive in founding, among other organizations and initiatives, Stiftung Louisenlund, Schule Schloss Salem, Gordonstoun, ...
, who was a wheelchair user due to
polio Poliomyelitis, commonly shortened to polio, is an infectious disease caused by the poliovirus. Approximately 70% of cases are asymptomatic; mild symptoms which can occur include sore throat and fever; in a proportion of cases more severe s ...
. At the age of 19 he was assigned to war work in the Operational Research Section (ORS) of
RAF Bomber Command RAF Bomber Command controlled the Royal Air Force's bomber forces from 1936 to 1968. Along with the United States Army Air Forces, it played the central role in the strategic bombing of Germany in World War II. From 1942 onward, the British bo ...
, where he developed analytical methods for calculating the ideal density for bomber formations to help the
Royal Air Force The Royal Air Force (RAF) is the United Kingdom's air and space force. It was formed towards the end of the First World War on 1 April 1918, becoming the first independent air force in the world, by regrouping the Royal Flying Corps (RFC) and ...
bomb German targets during the
Second World War World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
. After the war, Dyson was readmitted to Trinity College, where he obtained a BA degree in mathematics. From 1946 to 1949 he was a
fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...
of his college, occupying rooms just below those of the philosopher
Ludwig Wittgenstein Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian-British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. He is considere ...
, who resigned his professorship in 1947. In 1947 Dyson published two papers in
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
. Friends and colleagues described him as shy and self-effacing, with a contrarian streak that his friends found refreshing but intellectual opponents found exasperating. "I have the sense that when consensus is forming like ice hardening on a lake, Dyson will do his best to chip at the ice",
Steven Weinberg Steven Weinberg (; May 3, 1933 – July 23, 2021) was an American theoretical physicist and Nobel laureate in physics for his contributions with Abdus Salam and Sheldon Glashow to the unification of the weak force and electromagnetic interactio ...
said of him. His friend the neurologist and author
Oliver Sacks Oliver Wolf Sacks, (9 July 1933 – 30 August 2015) was a British neurologist, naturalist, historian of science, and writer. Born in Britain, Sacks received his medical degree in 1958 from The Queen's College, Oxford, before moving to the Uni ...
said: "A favourite word of Freeman's about doing science and being creative is the word 'subversive'. He feels it's rather important not only to be not orthodox, but to be subversive, and he's done that all his life."


Career in the United States

On
G. I. Taylor Sir Geoffrey Ingram Taylor OM FRS FRSE (7 March 1886 – 27 June 1975) was a British physicist and mathematician, and a major figure in fluid dynamics and wave theory. His biographer and one-time student, George Batchelor, described him as ...
's advice and recommendation, Dyson moved to the United States in 1947 as a
Commonwealth Fellow The Commonwealth Scholarship and Fellowship Plan (CSFP) is an international programme under which Commonwealth governments offer scholarships and fellowships to citizens of other Commonwealth countries. History The plan was originally proposed ...
for postgraduate study with
Hans Bethe Hans Albrecht Bethe (; July 2, 1906 – March 6, 2005) was a German-American theoretical physicist who made major contributions to nuclear physics, astrophysics, quantum electrodynamics, and solid-state physics, and who won the 1967 Nobel Prize ...
at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...
(1947–1948). There he made the acquaintance of
Richard Feynman Richard Phillips Feynman (; May 11, 1918 – February 15, 1988) was an American theoretical physicist, known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of the superflu ...
. Dyson recognized the brilliance of Feynman and worked with him. He then moved to the Institute for Advanced Study (1948–1949), before returning to England (1949–51), where he was a research fellow at the
University of Birmingham , mottoeng = Through efforts to heights , established = 1825 – Birmingham School of Medicine and Surgery1836 – Birmingham Royal School of Medicine and Surgery1843 – Queen's College1875 – Mason Science College1898 – Mason Univers ...
. In 1949, Dyson demonstrated the equivalence of two formulations of
quantum electrodynamics In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and spec ...
(QED): Richard Feynman's diagrams and the operator method developed by
Julian Schwinger Julian Seymour Schwinger (; February 12, 1918 – July 16, 1994) was a Nobel Prize winning American theoretical physicist. He is best known for his work on quantum electrodynamics (QED), in particular for developing a relativistically invariant ...
and
Shin'ichirō Tomonaga , usually cited as Sin-Itiro Tomonaga in English, was a Japanese physicist, influential in the development of quantum electrodynamics, work for which he was jointly awarded the Nobel Prize in Physics in 1965 along with Richard Feynman and Julian ...
. He was the first person after their creator to appreciate the power of
Feynman diagram In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic particles. The scheme is named after American physicist Richard Feynman, who introduc ...
s and his paper written in 1948 and published in 1949 was the first to make use of them. He said in that paper that Feynman diagrams were not just a computational tool but a physical theory and developed rules for the diagrams that completely solved the
renormalization Renormalization is a collection of techniques in quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, that are used to treat infinities arising in calculated quantities by altering v ...
problem. Dyson's paper and his lectures presented Feynman's theories of QED in a form that other physicists could understand, facilitating the physics community's acceptance of Feynman's work.
J. Robert Oppenheimer J. Robert Oppenheimer (; April 22, 1904 – February 18, 1967) was an American theoretical physicist. A professor of physics at the University of California, Berkeley, Oppenheimer was the wartime head of the Los Alamos Laboratory and is often ...
, in particular, was persuaded by Dyson that Feynman's new theory was as valid as Schwinger's and Tomonaga's. Also in 1949, in related work, Dyson invented the
Dyson series In scattering theory, a part of mathematical physics, the Dyson series, formulated by Freeman Dyson, is a perturbative expansion of the time evolution operator in the interaction picture. Each term can be represented by a sum of Feynman diagrams. ...
. It was this paper that inspired John Ward to derive his celebrated
Ward–Takahashi identity In quantum field theory, a Ward–Takahashi identity is an identity between correlation functions that follows from the global or gauge symmetries of the theory, and which remains valid after renormalization. The Ward–Takahashi identity of quan ...
. Dyson joined the faculty at Cornell as a physics professor in 1951, though he still had no doctorate. In December 1952, Oppenheimer, the director of the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
in
Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...
, offered Dyson a lifetime appointment at the institute, "for proving me wrong", in Oppenheimer's words. Dyson remained at the Institute until the end of his career. In 1957 he became a
US citizen Citizenship of the United States is a legal status that entails Americans with specific rights, duties, protections, and benefits in the United States. It serves as a foundation of fundamental rights derived from and protected by the Constituti ...
. From 1957 to 1961 Dyson worked on Project Orion, which proposed the possibility of space-flight using
nuclear pulse propulsion Nuclear pulse propulsion or external pulsed plasma propulsion is a hypothetical method of spacecraft propulsion that uses nuclear explosions for thrust. It originated as Project ''Orion'' with support from DARPA, after a suggestion by Stanislaw ...
. A prototype was demonstrated using conventional explosives, but the 1963
Partial Test Ban Treaty The Partial Test Ban Treaty (PTBT) is the abbreviated name of the 1963 Treaty Banning Nuclear Weapon Tests in the Atmosphere, in Outer Space and Under Water, which prohibited all nuclear weapons testing, test detonations of nuclear weapons exce ...
, in which Dyson was involved and which he supported, permitted only
underground nuclear weapons testing Underground nuclear testing is the Nuclear weapons testing, test detonation of nuclear weapons that is performed underground. When the device being tested is buried at sufficient depth, the nuclear explosion may be contained, with no release of ...
, and the project was abandoned in 1965. In 1958 Dyson was a member of the design team under
Edward Teller Edward Teller ( hu, Teller Ede; January 15, 1908 – September 9, 2003) was a Hungarian-American theoretical physicist who is known colloquially as "the father of the hydrogen bomb" (see the Teller–Ulam design), although he did not care fo ...
for
TRIGA TRIGA (Training, Research, Isotopes, General Atomics) is a class of nuclear research reactor designed and manufactured by General Atomics. The design team for TRIGA, which included Edward Teller, was led by the physicist Freeman Dyson. Design ...
, a small, inherently safe
nuclear reactor A nuclear reactor is a device used to initiate and control a fission nuclear chain reaction or nuclear fusion reactions. Nuclear reactors are used at nuclear power plants for electricity generation and in nuclear marine propulsion. Heat from nu ...
used throughout the world in hospitals and universities for the production of
medical isotopes A medical isotope is an isotope used in medicine. The first uses of isotopes in medicine were in radiopharmaceuticals, and this is still the most common use. However more recently, separated stable isotopes have also come into use. Examples of ...
. In 1966, independently of
Elliott H. Lieb Elliott Hershel Lieb (born July 31, 1932) is an American mathematical physics#Mathematically rigorous physics, mathematical physicist and professor of mathematics and physics at Princeton University who specializes in statistical mechanics, Cond ...
and
Walter Thirring Walter Thirring (29 April 1927 – 19 August 2014) was an Austrian physicist after whom the Thirring model in quantum field theory is named. He was the son of the physicist Hans Thirring.Thirring, H. Über die Wirkung rotierender ferner Massen ...
, Dyson and Andrew Lenard published a paper proving that the
Pauli exclusion principle In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot occupy the same quantum state within a quantum system simultaneously. This principle was formulated ...
plays the main role in the
stability of matter Stability of matter refers to the problem of showing rigorously that a large number of charged quantum particles can coexist and form macroscopic objects, like ordinary matter. The first proof was provided by Freeman Dyson and Andrew Lenard in 196 ...
. Hence it is not the electromagnetic repulsion between outer-shell orbital electrons that prevents two stacked wood blocks from coalescing into a single piece, but the exclusion principle applied to electrons and protons that generates the classical macroscopic
normal force In mechanics, the normal force F_n is the component of a contact force that is perpendicular to the surface that an object contacts, as in Figure 1. In this instance ''normal'' is used in the geometric sense and means perpendicular, as oppose ...
. In
condensed matter physics Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter, especially the solid and liquid phases which arise from electromagnetic forces between atoms. More generally, the sub ...
, Dyson also analysed the phase transition of the
Ising model The Ising model () (or Lenz-Ising model or Ising-Lenz model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent ...
in one dimension and
spin wave A spin wave is a propagating disturbance in the ordering of a magnetic material. These low-lying collective excitations occur in magnetic lattices with continuous symmetry. From the equivalent quasiparticle point of view, spin waves are known as ...
s. Dyson also did work in a variety of topics in mathematics, such as topology, analysis, number theory and
random matrices In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathemat ...
. In 1973 the number theorist
Hugh Lowell Montgomery Hugh Lowell Montgomery (born August 26, 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis. As a Marshall scholar, Montgomery earned his Ph.D. from the University of Cambridge. For many ...
was visiting the Institute for Advanced Study and had just made his pair correlation conjecture concerning the distribution of the zeros of the
Riemann zeta function The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots for \operatorname(s) > ...
. He showed his formula to the mathematician
Atle Selberg Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory. He was awarded t ...
, who said that it looked like something in
mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...
and that Montgomery should show it to Dyson, which he did. Dyson recognized the formula as the
pair correlation function In statistical mechanics, the radial distribution function, (or pair correlation function) g(r) in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle. If ...
of the
Gaussian unitary ensemble In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathemat ...
, which physicists have studied extensively. This suggested that there might be an unexpected connection between the
distribution of primes In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying t ...
(2, 3, 5, 7, 11, ...) and the energy levels in the nuclei of
heavy elements upright=1.2, Crystals of osmium, a heavy metal nearly twice as dense as lead">lead.html" ;"title="osmium, a heavy metal nearly twice as dense as lead">osmium, a heavy metal nearly twice as dense as lead Heavy metals are generally defined as ...
such as
uranium Uranium is a chemical element with the symbol U and atomic number 92. It is a silvery-grey metal in the actinide series of the periodic table. A uranium atom has 92 protons and 92 electrons, of which 6 are valence electrons. Uranium is weak ...
. Around 1979 Dyson worked with the
Institute for Energy Analysis An institute is an organisational body created for a certain purpose. They are often research organisations (research institutes) created to do research on specific topics, or can also be a professional body. In some countries, institutes can ...
on climate studies. This group, under
Alvin Weinberg Alvin Martin Weinberg (; April 20, 1915 – October 18, 2006) was an American nuclear physicist who was the administrator at Oak Ridge National Laboratory (ORNL) during and after the Manhattan Project. He came to Oak Ridge, Tennessee, in 1945 ...
's direction, pioneered multidisciplinary climate studies, including a strong biology group. Also during the 1970s, Dyson worked on climate studies conducted by the
JASON Jason ( ; ) was an ancient Greek mythological hero and leader of the Argonauts, whose quest for the Golden Fleece featured in Greek literature. He was the son of Aeson, the rightful king of Iolcos. He was married to the sorceress Medea. He w ...
defense advisory group. Dyson retired from the Institute for Advanced Study in 1994. In 1998 he joined the board of the
Solar Electric Light Fund The Solar Electric Light Fund (SELF) is a non-profit organization, established in 1990 and based in Washington, D.C. Their mission is to design and implement solar energy solutions to assist those in poor communities where energy, education, he ...
. In 2003 he was president of the
Space Studies Institute Space Studies Institute is a not-for-profit organization that was founded in 1977 by Princeton University Professor Gerard K. O'Neill. In 2009 SSI moved its operations from its long-term base in Princeton, New Jersey, to Mojave, Californi ...
, the space research organization founded by
Gerard K. O'Neill Gerard Kitchen O'Neill (February 6, 1927 – April 27, 1992) was an American physicist and space activist. As a faculty member of Princeton University, he invented a device called the particle storage ring for high-energy physics experiments. L ...
; in 2013 he was on its board of trustees. Dyson was a longtime member of the
JASON Jason ( ; ) was an ancient Greek mythological hero and leader of the Argonauts, whose quest for the Golden Fleece featured in Greek literature. He was the son of Aeson, the rightful king of Iolcos. He was married to the sorceress Medea. He w ...
group. Dyson won numerous scientific awards, but never a
Nobel Prize The Nobel Prizes ( ; sv, Nobelpriset ; no, Nobelprisen ) are five separate prizes that, according to Alfred Nobel's will of 1895, are awarded to "those who, during the preceding year, have conferred the greatest benefit to humankind." Alfr ...
. Nobel physics laureate
Steven Weinberg Steven Weinberg (; May 3, 1933 – July 23, 2021) was an American theoretical physicist and Nobel laureate in physics for his contributions with Abdus Salam and Sheldon Glashow to the unification of the weak force and electromagnetic interactio ...
said that the
Nobel committee A Nobel Committee is a working body responsible for most of the work involved in selecting Nobel Prize laureates. There are five Nobel Committees, one for each Nobel Prize. Four of these committees (for prizes in physics, chemistry, physiolog ...
"fleeced" Dyson, but Dyson remarked in 2009, "I think it's almost true without exception if you want to win a Nobel Prize, you should have a long attention span, get hold of some deep and important problem and stay with it for ten years. That wasn't my style." Dyson was a regular contributor to ''
The New York Review of Books ''The New York Review of Books'' (or ''NYREV'' or ''NYRB'') is a semi-monthly magazine with articles on literature, culture, economics, science and current affairs. Published in New York City, it is inspired by the idea that the discussion of i ...
'', and published a memoir, ''Maker of Patterns: An Autobiography Through Letters'' in 2018. In 2012 Dyson published (with
William H. Press William Henry Press (born May 23, 1948) is an astrophysicist, theoretical physicist, computer scientist, and computational biologist. He is a member of the U.S. National Academy of Sciences, the American Academy of Arts and Sciences, and the ...
) a fundamental new result about the
prisoner's dilemma The Prisoner's Dilemma is an example of a game analyzed in game theory. It is also a thought experiment that challenges two completely rational agents to a dilemma: cooperate with their partner for mutual reward, or betray their partner ("defe ...
in the
Proceedings of the National Academy of Sciences of the United States of America ''Proceedings of the National Academy of Sciences of the United States of America'' (often abbreviated ''PNAS'' or ''PNAS USA'') is a peer-reviewed multidisciplinary scientific journal. It is the official journal of the National Academy of Scien ...
. He wrote a foreword to a treatise on psychic phenomena in which he concluded that "ESP is real... but cannot be tested with the clumsy tools of science".


Personal life and death

Dyson married his first wife, the Swiss mathematician Verena Huber, on 11 August 1950. They had two children,
Esther Esther is the eponymous heroine of the Book of Esther. In the Achaemenid Empire, the Persian king Ahasuerus seeks a new wife after his queen, Vashti, is deposed for disobeying him. Hadassah, a Jewess who goes by the name of Esther, is chosen ...
and
George George may refer to: People * George (given name) * George (surname) * George (singer), American-Canadian singer George Nozuka, known by the mononym George * George Washington, First President of the United States * George W. Bush, 43rd Presiden ...
, before divorcing in 1958. In November 1958 he married Imme Jung (born 1936) and they had four more children: Dorothy, Mia, Rebecca, and Emily Dyson. Dyson's eldest daughter, Esther, is a digital technology consultant and investor; she has been called "the most influential woman in all the computer world". His son George is a
historian of science The history of science covers the development of science from ancient times to the present. It encompasses all three major branches of science: natural, social, and formal. Science's earliest roots can be traced to Ancient Egypt and Meso ...
, one of whose books is ''Project Orion: The Atomic Spaceship 1957–1965''. Dyson died on 28 February 2020 at a hospital near
Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...
, from complications following a fall. He was 96.


Concepts


Biotechnology and genetic engineering

Dyson admitted his record as a prophet was mixed, but thought it is better to be wrong than vague, and that in meeting the world's material needs, technology must be beautiful and cheap. Dyson coined the term "green technologies", based on
biology Biology is the scientific study of life. It is a natural science with a broad scope but has several unifying themes that tie it together as a single, coherent field. For instance, all organisms are made up of cells that process hereditary i ...
instead of
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
or
chemistry Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions ...
, to describe new species of
microorganism A microorganism, or microbe,, ''mikros'', "small") and ''organism'' from the el, ὀργανισμός, ''organismós'', "organism"). It is usually written as a single word but is sometimes hyphenated (''micro-organism''), especially in olde ...
s and
plant Plants are predominantly photosynthetic eukaryotes of the kingdom Plantae. Historically, the plant kingdom encompassed all living things that were not animals, and included algae and fungi; however, all current definitions of Plantae exclud ...
s designed to meet human needs. He argued that such technologies would be based on
solar power Solar power is the conversion of energy from sunlight into electricity, either directly using photovoltaics (PV) or indirectly using concentrated solar power. Photovoltaic cells convert light into an electric current using the photovoltaic e ...
rather than the
fossil fuel A fossil fuel is a hydrocarbon-containing material formed naturally in the Earth's crust from the remains of dead plants and animals that is extracted and burned as a fuel. The main fossil fuels are coal, oil, and natural gas. Fossil fuels m ...
s whose use he saw as part of what he calls "gray technologies" of industry. He believed that
genetically engineered Genetic engineering, also called genetic modification or genetic manipulation, is the modification and manipulation of an organism's genes using technology. It is a set of technologies used to change the genetic makeup of cells, including t ...
crops, which he described as green, can help end
rural poverty Rural poverty refers to poverty in rural areas, including factors of rural society, rural economy, and political systems that give rise to the poverty found there.Janvry, A. de, E. Sadoulet, and R. Murgai. 2002“Rural Development and Rural Pol ...
, with a movement based in
ethics Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns m ...
to end the inequitable
distribution of wealth The distribution of wealth is a comparison of the wealth of various members or groups in a society. It shows one aspect of economic inequality or economic heterogeneity. The distribution of wealth differs from the income distribution in that ...
on the planet.


''The Origin of Life''

Dyson favoured the dual origin theory: that life first formed as
cells Cell most often refers to: * Cell (biology), the functional basic unit of life Cell may also refer to: Locations * Monastic cell, a small room, hut, or cave in which a religious recluse lives, alternatively the small precursor of a monastery w ...
, then
enzyme Enzymes () are proteins that act as biological catalysts by accelerating chemical reactions. The molecules upon which enzymes may act are called substrates, and the enzyme converts the substrates into different molecules known as products. A ...
s, and finally, much later,
gene In biology, the word gene (from , ; "...Wilhelm Johannsen coined the word gene to describe the Mendelian units of heredity..." meaning ''generation'' or ''birth'' or ''gender'') can have several different meanings. The Mendelian gene is a ba ...
s. This was first propounded by the Russian biochemist,
Alexander Oparin Alexander Ivanovich Oparin (russian: Александр Иванович Опарин; – April 21, 1980) was a Soviet biochemist notable for his theories about the origin of life, and for his book ''The Origin of Life''. He also studied the b ...
.
J. B. S. Haldane John Burdon Sanderson Haldane (; 5 November 18921 December 1964), nicknamed "Jack" or "JBS", was a British-Indian scientist who worked in physiology, genetics, evolutionary biology, and mathematics. With innovative use of statistics in biolog ...
developed the same theory independently. In Dyson's version of the theory, life evolved in two stages, widely separated in time. Because of the biochemistry, he regards it as too unlikely that genes could have developed fully blown in one process. Current cells contain
adenosine triphosphate Adenosine triphosphate (ATP) is an organic compound that provides energy to drive many processes in living cells, such as muscle contraction, nerve impulse propagation, condensate dissolution, and chemical synthesis. Found in all known forms of ...
or ATP and adenosine 5'-monophosphate or AMP, which greatly resemble each other but have completely different functions. ATP transports energy around the cell, and AMP is part of RNA and the genetic apparatus. Dyson proposed that in a primitive early cell containing ATP and AMP, RNA and replication came into existence only because of the similarity between AMP and RNA. He suggested that AMP was produced when ATP molecules lost two of their phosphate radicals, and then one cell somewhere performed
Eigen Eigen may refer to: * Eigen (C++ library), computer programming library for matrix and linear algebra operations * Eigen Technologies, the Document AI software company * Eigen, Schwyz, settlement in the municipality of Alpthal in the canton of Schw ...
's experiment and produced RNA. There is no direct evidence for the dual origin theory, because once genes developed, they took over, obliterating all traces of the earlier forms of life. In the first origin, the cells were probably just drops of water held together by surface tension, teeming with enzymes and chemical reactions, and having a primitive kind of growth or replication. When the liquid drop became too big, it split into two drops. Many complex molecules formed in these "little city economies" and the probability that genes would eventually develop in them was much greater than in the prebiotic environment.


Dyson sphere

In 1960 Dyson wrote a short paper for the journal ''
Science Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earliest archeological evidence for ...
'' titled "Search for Artificial Stellar Sources of Infrared Radiation". In it he speculated that a technologically advanced extraterrestrial
civilization A civilization (or civilisation) is any complex society characterized by the development of a state, social stratification, urbanization, and symbolic systems of communication beyond natural spoken language (namely, a writing system). Ci ...
might surround its native star with artificial structures to maximize the capture of the star's energy. Eventually, the civilization would enclose the star, intercepting
electromagnetic radiation In physics, electromagnetic radiation (EMR) consists of waves of the electromagnetic field, electromagnetic (EM) field, which propagate through space and carry momentum and electromagnetic radiant energy. It includes radio waves, microwaves, inf ...
with
wavelength In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats. It is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, tro ...
s from visible light downward and radiating waste heat outward as
infrared Infrared (IR), sometimes called infrared light, is electromagnetic radiation (EMR) with wavelengths longer than those of visible light. It is therefore invisible to the human eye. IR is generally understood to encompass wavelengths from around ...
radiation. One method of searching for extraterrestrial civilizations would be to look for large objects radiating in the infrared range of the
electromagnetic spectrum The electromagnetic spectrum is the range of frequencies (the spectrum) of electromagnetic radiation and their respective wavelengths and photon energies. The electromagnetic spectrum covers electromagnetic waves with frequencies ranging from ...
. Dyson conceived that such structures would be clouds of
asteroid An asteroid is a minor planet of the inner Solar System. Sizes and shapes of asteroids vary significantly, ranging from 1-meter rocks to a dwarf planet almost 1000 km in diameter; they are rocky, metallic or icy bodies with no atmosphere. ...
-sized
space habitat A space habitat (also called a space settlement, space colony, spacestead, space city, orbital habitat, orbital settlement, orbital colony, orbital stead or orbital city) is a more advanced form of living quarters than a space station or habit ...
s, though
science fiction Science fiction (sometimes shortened to Sci-Fi or SF) is a genre of speculative fiction which typically deals with imaginative and futuristic concepts such as advanced science and technology, space exploration, time travel, parallel unive ...
writers have preferred a solid structure: either way, such an artifact is often called a
Dyson sphere A Dyson sphere is a hypothetical megastructure that completely encompasses a star and captures a large percentage of its solar power output. The concept is a thought experiment that attempts to explain how a spacefaring civilization would meet ...
, although Dyson used the term "shell". Dyson said that he used the term "artificial biosphere" in the article to mean a habitat, not a shape. The general concept of such an energy-transferring shell had been created decades earlier by science fiction writer
Olaf Stapledon William Olaf Stapledon (10 May 1886 – 6 September 1950) – known as Olaf Stapledon – was a British philosopher and author of science fiction.Andy Sawyer, " illiamOlaf Stapledon (1886-1950)", in Bould, Mark, et al, eds. ''Fifty Key Figures ...
in his 1937 novel ''
Star Maker ''Star Maker'' is a science fiction novel by British writer Olaf Stapledon, published in 1937. The book describes a history of life in the universe, dwarfing in scale Stapledon's previous book, ''Last and First Men'' (1930), a history of the hu ...
'', a source which Dyson credited publicly.


Dyson tree

Dyson also proposed the creation of a ''Dyson tree'', a
genetically engineered Genetic engineering, also called genetic modification or genetic manipulation, is the modification and manipulation of an organism's genes using technology. It is a set of technologies used to change the genetic makeup of cells, including t ...
plant capable of growing inside a
comet A comet is an icy, small Solar System body that, when passing close to the Sun, warms and begins to release gases, a process that is called outgassing. This produces a visible atmosphere or coma, and sometimes also a tail. These phenomena ar ...
. He suggested that comets could be engineered to contain hollow spaces filled with a breathable atmosphere, thus providing self-sustaining habitats for humanity in the outer
Solar System The Solar SystemCapitalization of the name varies. The International Astronomical Union, the authoritative body regarding astronomical nomenclature, specifies capitalizing the names of all individual astronomical objects but uses mixed "Solar S ...
.


Space colonies

Dyson was interested in space travel since he was a child, reading such science fiction classics as
Olaf Stapledon William Olaf Stapledon (10 May 1886 – 6 September 1950) – known as Olaf Stapledon – was a British philosopher and author of science fiction.Andy Sawyer, " illiamOlaf Stapledon (1886-1950)", in Bould, Mark, et al, eds. ''Fifty Key Figures ...
's ''
Star Maker ''Star Maker'' is a science fiction novel by British writer Olaf Stapledon, published in 1937. The book describes a history of life in the universe, dwarfing in scale Stapledon's previous book, ''Last and First Men'' (1930), a history of the hu ...
''. As a young man, he worked for
General Atomics General Atomics is an American energy and defense corporation headquartered in San Diego, California, specializing in research and technology development. This includes physics research in support of nuclear fission and nuclear fusion energy. The ...
on the nuclear-powered Orion spacecraft. He hoped Project Orion would put men on Mars by 1965, and Saturn by 1970. For a quarter-century, Dyson was unhappy about how the government conducted space travel: Dyson still hoped for cheap space travel, but was resigned to waiting for private entrepreneurs to develop something new and inexpensive.


Space exploration


Dyson's eternal intelligence

Dyson proposed that an
immortal Immortality is the ability to live forever, or eternal life. Immortal or Immortality may also refer to: Film * ''The Immortals'' (1995 film), an American crime film * ''Immortality'', an alternate title for the 1998 British film '' The Wisdom of ...
group of intelligent beings could escape the prospect of
heat death Heat death may refer to: *Heat death of the universe, a proposed cosmological event ** Heat death paradox, a philosophical examination of the cosmological event *Hyperthermia, injury up to and including death, from excessive heat *Thermal shock, t ...
by extending time to infinity while expending only a finite amount of energy. This is also known as the Dyson scenario.


Dyson's transform

His concept "Dyson's transform" led to one of the most important
lemmas Lemma may refer to: Language and linguistics * Lemma (morphology), the canonical, dictionary or citation form of a word * Lemma (psycholinguistics), a mental abstraction of a word about to be uttered Science and mathematics * Lemma (botany), a ...
of
Olivier Ramaré Olivier Ramaré is a French mathematician who works as Senior researcher for the CNRS. He is currently attached to Aix-Marseille Université. Ramaré earned a doctorate in 1991 from the University of Bordeaux with a dissertation ''Contribution au ...
's theorem: that every even integer can be written as a sum of no more than six primes.


Dyson series

The Dyson series, the formal solution of an explicitly time-dependent
Schrödinger equation The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the ...
by iteration, and the corresponding Dyson time-ordering operator \mathcal T\,, an entity of basic importance in the
mathematical formulation of quantum mechanics The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which ...
, are also named after Dyson.


Quantum physics and prime numbers

Dyson and Hugh Montgomery discovered an intriguing connection between quantum physics and
Montgomery's pair correlation conjecture In mathematics, Montgomery's pair correlation conjecture is a conjecture made by that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is :1-\left(\frac\right)^ + \delta(u), which ...
about the zeros of the zeta function. The primes 2, 3, 5, 7, 11, 13, 17, 19,... are described by the
Riemann zeta function The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots for \operatorname(s) > ...
, and Dyson had previously developed a description of quantum physics based on m by m arrays of totally random numbers. Montgomery and Dyson discovered that the ''
eigenvalues In linear algebra, an eigenvector () or characteristic vector of a linear transformation is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding eigenvalue, often denoted b ...
'' of these matrices are spaced apart in exactly the same manner as Montgomery conjectured for the nontrivial zeros of the zeta function.
Andrew Odlyzko Andrew Michael Odlyzko (Andrzej Odłyżko) (born 23 July 1949) is a Polish-American mathematician and a former head of the University of Minnesota's Digital Technology Center and of the Minnesota Supercomputing Institute. He began his career in ...
has verified the conjecture on a computer, using his
Odlyzko–Schönhage algorithm In mathematics, the Odlyzko–Schönhage algorithm is a fast algorithm for evaluating the Riemann zeta function at many points, introduced by . The main point is the use of the fast Fourier transform to speed up the evaluation of a finite Dirichle ...
to calculate many zeros. There are in nature one, two, and three-dimensional
quasicrystals A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetry. While crystals, according to the classical cr ...
. Mathematicians define a quasicrystal as a set of discrete points whose
Fourier transform A Fourier transform (FT) is a mathematical transform that decomposes functions into frequency components, which are represented by the output of the transform as a function of frequency. Most commonly functions of time or space are transformed, ...
is also a set of discrete points. Odlyzko has done extensive computations of the Fourier transform of the nontrivial zeros of the zeta function, and they seem to form a one-dimensional quasicrystal. This would in fact follow from the
Riemann hypothesis In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . Many consider it to be the most important unsolved problem in ...
.


Rank of a partition

In
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
and
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
, the rank of an
integer partition In number theory and combinatorics, a partition of a positive integer , also called an integer partition, is a way of writing as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same part ...
is a certain
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
associated with the partition. Dyson introduced the concept in a paper published in the journal ''Eureka''. It was presented in the context of a study of certain
congruence Congruence may refer to: Mathematics * Congruence (geometry), being the same size and shape * Congruence or congruence relation, in abstract algebra, an equivalence relation on an algebraic structure that is compatible with the structure * In mod ...
properties of the partition function discovered by the mathematician
Srinivasa Ramanujan Srinivasa Ramanujan (; born Srinivasa Ramanujan Aiyangar, ; 22 December 188726 April 1920) was an Indian mathematician. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis ...
.


Crank of a partition

In
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
, the crank of a partition is a certain
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
associated with the partition. Dyson first introduced the term without a definition in a 1944 paper in a journal published by the Mathematics Society of
Cambridge University , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
. He then gave a list of properties this yet-to-be-defined quantity should have. In 1988,
George E. Andrews George Eyre Andrews (born December 4, 1938) is an American mathematician working in special functions, number theory, analysis and combinatorics. Education and career He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State ...
and
Frank Garvan Francis G. Garvan (born March 9, 1955) is an Australian-born mathematician who specializes in number theory and combinatorics. He holds the position Professor of Mathematics at the University of Florida. He received his Ph.D. from Pennsylvania Sta ...
discovered a definition for the crank satisfying the properties Dyson had hypothesized.


Astrochicken

Astrochicken is the name given to a
thought experiment A thought experiment is a hypothetical situation in which a hypothesis, theory, or principle is laid out for the purpose of thinking through its consequences. History The ancient Greek ''deiknymi'' (), or thought experiment, "was the most anci ...
Dyson expounded in his book ''Disturbing the Universe'' (1979). He contemplated how humanity could build a small,
self-replicating Self-replication is any behavior of a dynamical system that yields construction of an identical or similar copy of itself. Biological cells, given suitable environments, reproduce by cell division. During cell division, DNA is replicated and ca ...
automaton that could explore space more efficiently than a crewed craft could. He attributed the general idea to
John von Neumann John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest cove ...
, based on a lecture von Neumann gave in 1948 titled ''The General and Logical Theory of Automata''. Dyson expanded on von Neumann's automata theories and added a biological component.


Lumpers and splitters

Dyson suggested that philosophers can be broadly if simplistically, divided into lumpers and splitters. These roughly correspond to
Platonists Platonism is the philosophy of Plato and philosophical systems closely derived from it, though contemporary platonists do not necessarily accept all of the doctrines of Plato. Platonism had a profound effect on Western thought. Platonism at l ...
, who regard the world as made up of ideas, and
materialists Materialism is a form of philosophical monism which holds matter to be the fundamental substance in nature, and all things, including mental states and consciousness, are results of material interactions. According to philosophical materialis ...
, who imagine it divided into atoms.


Views


Climate change

Dyson agreed that technically humans and additional CO emissions contribute to warming. However, he felt that the benefits of additional CO outweighed any associated negative effects. He said that in many ways increased atmospheric carbon dioxide is beneficial, and that it is increasing biological growth, agricultural yields and forests. He believed that existing simulation models of
climate change In common usage, climate change describes global warming—the ongoing increase in global average temperature—and its effects on Earth's climate system. Climate change in a broader sense also includes previous long-term changes to E ...
fail to account for some important factors, and that the results thus contain too great a margin of error to reliably predict trends. He argued that political efforts to reduce the causes of climate change distract from other global problems that should take priority, and viewed the acceptance of climate change as comparable to religion. In 2009, Dyson criticised
James Hansen James Edward Hansen (born March 29, 1942) is an American adjunct professor directing the Program on Climate Science, Awareness and Solutions of the Earth Institute at Columbia University. He is best known for his research in climatology, his 1 ...
's climate-change activism. "The person who is really responsible for this overestimate of global warming is Jim Hansen. He consistently exaggerates all the dangers... Hansen has turned his science into ideology." Hansen responded that Dyson "doesn't know what he's talking about... If he's going to wander into something with major consequences for humanity and other life on the planet, then he should first do his homework- which he obviously has not done on global warming". Dyson replied that " objections to the global warming propaganda are not so much over the technical facts, about which I do not know much, but it's rather against the way those people behave and the kind of intolerance to criticism that a lot of them have." Dyson stated in an interview that the argument with Hansen was exaggerated by ''
The New York Times ''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid ...
'', stating that he and Hansen are "friends, but we don't agree on everything." Since originally taking an interest in climate studies in the 1970s, Dyson suggested that
carbon dioxide Carbon dioxide (chemical formula ) is a chemical compound made up of molecules that each have one carbon atom covalently double bonded to two oxygen atoms. It is found in the gas state at room temperature. In the air, carbon dioxide is transpar ...
levels in the atmosphere could be controlled by planting fast-growing trees. He calculated that it would take a trillion trees to remove all carbon from the atmosphere. In a 2014 interview he said, "What I'm convinced of is that we don't understand climate… It will take a lot of very hard work before that question is settled." Dyson was a member of the academic advisory council of the
Global Warming Policy Foundation The Global Warming Policy Foundation (GWPF) is a charitable organization in the United Kingdom whose stated aims are to challenge what it calls "extremely damaging and harmful policies" envisaged by governments to mitigate anthropogenic global ...
.


Warfare and weapons

At RAF Bomber Command, Dyson and colleagues proposed removing two gun turrets from
Avro Lancaster The Avro Lancaster is a British Second World War heavy bomber. It was designed and manufactured by Avro as a contemporary of the Handley Page Halifax, both bombers having been developed to the same specification, as well as the Short Stirlin ...
bombers, to cut the catastrophic losses due to German fighters in the
Battle of Berlin The Battle of Berlin, designated as the Berlin Strategic Offensive Operation by the Soviet Union, and also known as the Fall of Berlin, was one of the last major offensives of the European theatre of World War II. After the Vistula– ...
. A Lancaster without turrets could fly faster and be much more manoeuvrable. On hearing the news of the bombing of
Hiroshima is the capital of Hiroshima Prefecture in Japan. , the city had an estimated population of 1,199,391. The gross domestic product (GDP) in Greater Hiroshima, Hiroshima Urban Employment Area, was US$61.3 billion as of 2010. Kazumi Matsui h ...
: In 1967, in his capacity as a military adviser, Dyson wrote an influential paper on the issue of possible US use of tactical nuclear weapons in the
Vietnam War The Vietnam War (also known by #Names, other names) was a conflict in Vietnam, Laos, and Cambodia from 1 November 1955 to the fall of Saigon on 30 April 1975. It was the second of the Indochina Wars and was officially fought between North Vie ...
. When a general said in a meeting, "I think it might be a good idea to throw in a nuke now and then, just to keep the other side guessing…" Dyson became alarmed and obtained permission to write a report on the pros and cons of using such weapons from a purely military point of view. (This report, ''Tactical Nuclear Weapons in Southeast Asia'', published by the
Institute for Defense Analyses The Institute for Defense Analyses (IDA) is an American non-profit corporation that administers three federally funded research and development centers (FFRDCs) – the Systems and Analyses Center (SAC), the Science and Technology Policy Institute ...
, was obtained, with some redactions, by the
Nautilus Institute for Security and Sustainability The Nautilus Institute for Security and Sustainability is a public policy think tank founded in 1992. The Institute convenes scholars and practitioners who conduct research to address interconnected global problems such as threats of nuclear w ...
under the
Freedom of Information act Freedom of Information Act may refer to the following legislations in different jurisdictions which mandate the national government to disclose certain data to the general public upon request: * Freedom of Information Act 1982, the Australian act * ...
in 2002.) It was sufficiently objective that both sides of the debate based their arguments on it. Dyson says that the report showed that, even from a narrow military point of view, the US was better off not using nuclear weapons. Dyson opposed the
Vietnam War The Vietnam War (also known by #Names, other names) was a conflict in Vietnam, Laos, and Cambodia from 1 November 1955 to the fall of Saigon on 30 April 1975. It was the second of the Indochina Wars and was officially fought between North Vie ...
, the
Gulf War The Gulf War was a 1990–1991 armed campaign waged by a 35-country military coalition in response to the Iraqi invasion of Kuwait. Spearheaded by the United States, the coalition's efforts against Iraq were carried out in two key phases: ...
and the
invasion of Iraq The 2003 invasion of Iraq was a United States-led invasion of the Ba'athist Iraq, Republic of Iraq and the first stage of the Iraq War. The invasion phase began on 19 March 2003 (air) and 20 March 2003 (ground) and lasted just over one mont ...
. He supported
Barack Obama Barack Hussein Obama II ( ; born August 4, 1961) is an American politician who served as the 44th president of the United States from 2009 to 2017. A member of the Democratic Party, Obama was the first African-American president of the U ...
in the
2008 US presidential election The 2008 United States presidential election was the 56th quadrennial presidential election, held on Tuesday, November 4, 2008. The Democratic ticket of Barack Obama, the junior senator from Illinois, and Joe Biden, the senior senator from ...
and ''
The New York Times ''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid ...
'' described him as a Modern liberalism in the United States, political liberal. He was one of 29 leading US scientists who wrote Obama a strongly supportive letter about his administration's Joint Comprehensive Plan of Action, 2015 nuclear deal with Iran.


Science and religion

Dyson was raised in what he described as a "watered-down Church of England Christianity". He was a Nondenominational Christianity, nondenominational Christian and attended various churches, from Presbyterian to Roman Catholic. Regarding doctrinal or Christological issues, he said, "I am neither a saint nor a theologian. To me, good works are more important than theology." Dyson partially disagreed with the remark by his fellow physicist
Steven Weinberg Steven Weinberg (; May 3, 1933 – July 23, 2021) was an American theoretical physicist and Nobel laureate in physics for his contributions with Abdus Salam and Sheldon Glashow to the unification of the weak force and electromagnetic interactio ...
that "With or without religion, good people can behave well and bad people can do evil; but for good people to do evil – that takes religion." Dyson identified himself as agnostic about some of the specifics of his faith. For example, in reviewing ''The God of Hope and the End of the World'' by John Polkinghorne, Dyson wrote: In ''The God Delusion'' (2006), evolutionary biologist and atheist activist Richard Dawkins singled out Dyson for accepting the Templeton Prize in 2000: "It would be taken as an endorsement of religion by one of the world's most distinguished physicists." In 2000, Dyson declared that he was a (non-denominational) Christian, and he disagreed with Dawkins on several subjects, such as that group selection is less important than individual selection on the subject of evolution.


Named after Dyson

* Dyson conjecture * Self-energy, Dyson equation * Parasitic number#Smallest n-parasitic numbers, Dyson numbers * Dyson series#The Dyson operator, Dyson operator *
Dyson series In scattering theory, a part of mathematical physics, the Dyson series, formulated by Freeman Dyson, is a perturbative expansion of the time evolution operator in the interaction picture. Each term can be represented by a sum of Feynman diagrams. ...
*
Dyson sphere A Dyson sphere is a hypothetical megastructure that completely encompasses a star and captures a large percentage of its solar power output. The concept is a thought experiment that attempts to explain how a spacefaring civilization would meet ...
*
Dyson tree A Dyson tree is an hypothetical genetically engineered plant (perhaps resembling a tree) capable of growing inside a comet, suggested by the physicist Freeman Dyson. Plants may be able to produce a breathable atmosphere within the hollow spaces ...
* Crank of a partition#Dyson's crank, Dyson's crank *
Dyson's eternal intelligence Dyson's eternal intelligence concept (the Dyson Scenario), proposed by Freeman Dyson in 1979, proposes a means by which an immortal society of intelligent beings in an open universe may escape the prospect of the heat death of the universe by ex ...
* Dyson's transform * Holstein–Primakoff transformation, Dyson–Maleev spin wave theory * Schwinger–Dyson equation * Thue–Siegel–Roth theorem, Thue–Siegel–Dyson–Roth theorem *
Feynman diagram In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic particles. The scheme is named after American physicist Richard Feynman, who introduc ...
, also known as Dyson graphs * Strong subadditivity of quantum entropy#Wigner–Yanase–Dyson conjecture, Wigner–Yamase–Dyson conjecture * Gordon Freeman, a fictional character named after Dyson


Honors and awards

* Dyson was elected a List of Fellows of the Royal Society elected in 1952, Fellow of the Royal Society (FRS) in 1952. * Dyson was elected to the American Academy of Arts and Sciences in 1958. * Dyson was elected to the United States National Academy of Sciences in 1964. * Dyson was awarded the Dannie Heineman Prize for Mathematical Physics in 1965, Lorentz Medal in 1966, Max Planck Medal in 1969, the J. Robert Oppenheimer Memorial Prize in 1970, the Harvey Prize in 1977 and Wolf Prize in 1981. * Dyson was elected to the American Philosophical Society in 1976. * In 1986, Dyson received the Golden Plate Award of the Academy of Achievement, American Academy of Achievement. * In 1989, Dyson was elected as an Honorary Fellow of Trinity College, University of Cambridge. * In 1990, Dyson taught at Duke University as a Fritz London Memorial Lecturer. * Dyson published a number of collections of speculations and observations about technology, science, and the future. In 1996, he was awarded the Lewis Thomas Prize, Lewis Thomas Prize for Writing about Science. * In 1993, Dyson was given the Enrico Fermi Award. * In 1995, he gave the Jerusalem-Harvard Lectures at the Hebrew University of Jerusalem, sponsored jointly by the Hebrew University and Harvard University Press that grew into the book ''Imagined Worlds''. * In 2000, Dyson was awarded the Templeton Prize for Progress in Religion. * In 2003, Dyson was awarded the Telluride Tech Festival Award of Technology in Telluride, Colorado. * In 2011, Dyson received as one of twenty distinguished Old Wykehamists at the ''Ad Portas'' celebration, the highest honor that
Winchester College Winchester College is a public school (fee-charging independent day and boarding school) in Winchester, Hampshire, England. It was founded by William of Wykeham in 1382 and has existed in its present location ever since. It is the oldest of the ...
bestows. * In 2011, Dyson received the Arthur C. Clarke Lifetime Achievement Award from the Arthur C. Clarke Foundation. * In 2018, Dyson received the first Presidential Science and Humanism Award from the American University of Beirut.


Publications

* * * * * * * * * * * (Winner of the National Book Critics Circle Award). * * * * * * * * * * * * * * * * * * * * * * * * * A formerly secret document, declassified December 2002.


Documentaries

* To Mars By A-Bomb (film), ''To Mars by A-Bomb: The Secret History of Project Orion'' * ''The Oakes'' * ''Atomic Dream'' * ''2001: The Science of Futures Past'' * Cool It (film), ''Cool It'' * ''Nuclear Dynamite'' * ''Gaia Symphony III'' * ''The Starship and the Canoe'' * ''The Day After Trinity'' * ''The Untold History of the United States'' * ''The Uncertainty Has Settled'' * ''A Glorious Accident'' * ''Freeman Dyson: Space Dreamer''


References


Notes


Citations


Sources

* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *


Further reading

*


External links

* * *
Oral history interview transcript with Freeman Dyson on 17 December 1986, American Institute of Physics, Niels Bohr Library & Archives


By Dyson


Freeman Dyson
at ''
The New York Review of Books ''The New York Review of Books'' (or ''NYREV'' or ''NYRB'') is a semi-monthly magazine with articles on literature, culture, economics, science and current affairs. Published in New York City, it is inspired by the idea that the discussion of i ...
'' (content for subscribers only)
"Heretical thoughts about science & society"
essay by Freeman Dyson [8.7.2007]
Templeton Prize acceptance lecture 2000
by Freeman Dyson

by Freeman Dyson, 1996: Chapter 1 *
A radio interview with Freeman Dyson
Aired on the Lewis Burke Frumkes Radio Show in 2009.
Suzan Mazur interviewing Dyson
2012, ''CounterPunch''
"Pushing the Boundaries – A Conversation with Freeman Dyson"
, ''Ideas Roadshow'', 2014 * , Arthur C. Clarke Center for Human Imagination, February 2019.
A ‘Rebel’ Without a Ph.D.


About Dyson


"Freeman Dyson's Brain"
interview by Stewart Brand at ''Wired (magazine), Wired'', 1998
2008 Video Interview with Freeman Dyson by Atomic Heritage Foundation
Voices of the Manhattan Project * *
Remembering the Unstoppable Freeman Dyson
*
Freeman J. Dyson
a Biographical Memoir by Ann Finkbeiner and
William H. Press William Henry Press (born May 23, 1948) is an astrophysicist, theoretical physicist, computer scientist, and computational biologist. He is a member of the U.S. National Academy of Sciences, the American Academy of Arts and Sciences, and the ...
. {{DEFAULTSORT:Dyson, Freeman John Freeman Dyson, 1923 births 2020 deaths 20th-century American mathematicians 21st-century American mathematicians 20th-century English mathematicians 21st-century English mathematicians 20th-century British physicists 21st-century British physicists 20th-century American physicists 21st-century American physicists 21st-century English memoirists 21st-century American memoirists Writers from Berkshire Academics of the University of Birmingham Alumni of Trinity College, Cambridge American Christians American anti–nuclear weapons activists American nuclear physicists British theoretical physicists Cornell University alumni Donegall Lecturers of Mathematics at Trinity College Dublin English Christians English anti–nuclear weapons activists English emigrants to the United States English nuclear physicists English science writers Enrico Fermi Award recipients Fellows of the Royal Society Foreign Members of the Russian Academy of Sciences Futurologists Institute for Advanced Study faculty Lorentz Medal winners Members of JASON (advisory group) Members of the Bavarian Academy of Sciences Members of the French Academy of Sciences Members of the United States National Academy of Sciences People educated at Winchester College Scientists from Winchester Philosophy writers British quantum physicists Space advocates Templeton Prize laureates Wolf Prize in Physics laureates Recipients of the Matteucci Medal Winners of the Max Planck Medal Writers about religion and science Members of the American Philosophical Society Accidental deaths from falls Professors without a doctorate