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Arthur Stanley Eddington

 
Scientist: Sir Arthur Stanley Eddington
 

British astrophysicist and mathematician (1882–1944)

Born at Kendal, Eddington moved with his mother and sister to Somerset after the death of his father in 1884. He was a brilliant scholar, graduating from Owens College (now the University of Manchester) in 1902 and from Cambridge University in 1905. From 1906 to 1913 he was chief assistant to the Astronomer Royal at Greenwich after which he returned to Cambridge as Plumian Professor of Astronomy. He was knighted in 1930. Eddington was a Quaker throughout his life.

Eddington was the major British astronomer of the interwar period. His early work on the motions of stars was followed, from 1916 onward, by his work on the interior of stars, which was published in his first major book, The Internal Constitution of the Stars (1926). He introduced “a phenomenon ignored in early investigations, which may have considerable effect on the equilibrium of a star, viz. the pressure of radiation.” He showed that for equilibrium to be maintained in a star, the inwardly directed force of gravitation must be balanced by the outwardly directed forces of both gas pressure and radiation pressure. He also proposed that heat energy was transported from the center to the outer regions of a star not by convection, as thought hitherto, but by radiation.

It was in this work that Eddington gave a full account of his mass-luminosity relationship, which was discovered in 1924 and shows that the more massive a star the more luminous it will be. The value of the relation is that it allows the mass of a star to be determined if its intrinsic brightness is known. This is of considerable significance since only the masses of binary stars can be directly calculated. Eddington realized that there was a limit to the size of stars: relatively few would have masses exceeding 10 times the mass of the Sun while any exceeding 50 solar masses would be unstable owing to excessive radiation pressure.

Eddington wrote a number of books for both scientists and laymen. His more popular books, including The Expanding Universe (1933), were widely read, went through many editions, and opened new worlds to many enquiring minds of the interwar years. It was through Eddington that Einstein's general theory of relativity reached the English-speaking world. He was greatly impressed by the theory and was able to provide experimental evidence for it. He observed the total solar eclipse of 1919 and submitted a report that captured the intellectual imagination of his generation. He reported that a very precise and unexpected prediction made by Einstein in his general theory had been successfully observed; this was the very slight bending of light by the gravitational field of a star – the Sun. Further support came in 1924 when Einstein's prediction of the reddening of starlight by the gravitational field of the star was tested: at Eddington's request Walter Adams detected and measured the shift in wavelength of the spectral lines of Sirius B, the dense white-dwarf companion of the star Sirius. Eddington thus did much to establish Einstein's theory on a sound and rigorous foundation and gave a very fine presentation of the subject in his Mathematical Theory of Relativity (1923).

Eddington also worked for many years on an obscure but challenging theory, which was only published in his posthumous work, Fundamental Theory (1946). Basically, he claimed that the fundamental constants of science, such as the mass of the proton and the mass and charge of the electron were a “natural and complete specification for constructing a universe” and that their values were not accidental. He then set out to develop a theory from which such values would follow as a consequence, but never completed it.

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Biography: Sir Arthur Stanley Eddington
 

The English astronomer Sir Arthur Stanley Eddington (1882-1944) greatly advanced theoretical astrophysics as a consequence of his original contributions to the theory of relativity and his studies on the internal constitution of stars.

Arthur S. Eddington was born on Dec. 28, 1882, at Kendal, Westmorland. His father was the headmaster and proprietor of a school where John Dalton once taught. Arthur was a precocious child, and by his own account had mastered the 24 x 24 multiplication table before he could read. He received his bachelor's degree in 1902 from Owens College, Manchester, and immediately proceeded to Trinity College, Cambridge. At Cambridge he placed first in the mathematical tripos examination in his second year, an unprecedented achievement. In 1905 he took his bachelor's degree from Cambridge University; in 1907 he became Smith's Prize winner and was elected a fellow of Trinity College; and in 1909 he obtained his master's degree.

In 1906 Eddington was appointed chief assistant at the Royal Observatory at Greenwich. He remained there for 7 years, gaining much practical astronomical experience. While there he initiated a program for determining latitude variation of stars which, with modifications, is still in force today, and engaged in theoretical researches on the systematic motions and distributions of the stars recorded in the Groombridge Catalog. These last studies formed the basis of his Smith's Prize essay and culminated in his book Stellar Movements and the Structure of the Universe (1914). One important result was that he confirmed Jacobus Kapteyn's 1904 conclusion that there are two star streams in the Milky Way.

In 1913 Eddington was appointed Plumian professor of astronomy at Cambridge; a year later he became director of the Cambridge Observatory and was elected a fellow of the Royal Society. During World War I he began studies on Albert Einstein's general theory of relativity and on stellar structure. As secretary of the Royal Astronomical Society, Eddington received for publication a copy of Einstein's paper of 1915, the only one to reach England during the war. By the end of the war Eddington had become one of the few men to master Einstein's general theory, had made original contributions to it, and had written the first account of it in English.

In 1919 Eddington led the famous solar eclipse expedition to West Africa and proved, as Einstein's theory demanded, that starlight is deflected in passing close to a massive body such as the sun. Later, Eddington generalized H. Weyl's theory of the electromagnetic field, and in 1925 W. S. Adams spectroscopically verified Eddington's 1924 prediction of a large gravitational red shift of the light emitted by Sirius's white dwarf companion. In 1930 Eddington proved that an Einstein universe is unstable, thereby lending support to the concept of an expanding universe.

In 1915 Eddington also began studying the internal constitution of stars, a subject largely of his own creation. During the ensuing years he demonstrated, for example, the importance of radiation pressure in helping thermal pressure maintain a star's stability against gravitational collapse. He, as well as Harlow Shapley, showed that variable stars change their brightness because they pulsate. He also derived his famous mass-luminosity law, which shows that the more massive a star, the brighter it is.

Eddington was a master of popular science writing, a talent which he exploited especially after 1927. He also increasingly expounded his controversial philosophical and theological convictions. Moreover, spurred on by Paul Dirac's 1928 discovery of the relativistic wave equation for the electron, Eddington during the last 16 years of his life attempted to wed relativity to quantum theory in what came to be called his fundamental theory. Undisturbed by the criticism that this elegant but speculative theory evoked, Eddington pursued it to the end. Few today accept it, but its positive elements may one day be reborn in different form.

Eddington was knighted in 1930 and received numerous honors throughout his life, including the coveted Order of Merit in 1938. He remained a bachelor and died in Cambridge on Nov. 22, 1944.

Further Reading

A full-length biography of Eddington is Allie Vibert Douglas, The Life of Arthur Stanley Eddington (1956). For a shorter biographical sketch see H. C. Plummer's obituary notice in the Biographical Memoirs of the Fellows of the Royal Society, vol. 5 (1945-1948). See also John W. Yolton, The Philosophy of A. S. Eddington (1960).

Additional Sources

Chandrasekhar, S. (Subrahmanyan), Eddington, the most distinguished astrophysicist of his time, Cambridge; New York: Cambridge University Press, 1983.

 
Britannica Concise Encyclopedia: Sir Arthur Stanley Eddington
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Arthur Stanley Eddington.
(click to enlarge)
Arthur Stanley Eddington. (credit: Courtesy of the University of Chicago; photograph, Yerkes Observatory, Williams Bay, Wis.)
(born Dec. 28, 1882, Kendal, Westmorland, Eng. — died Nov. 22, 1944, Cambridge, Cambridgeshire) British astronomer, physicist, and mathematician. At the University of Cambridge he won every mathematical honour. He was chief assistant at the Royal Observatory at Greenwich (1906 – 13); in 1914 he became director of the Cambridge observatory. Religious and pacifistic, he declared that the world's meaning could not be discovered by science. His greatest contributions were in astrophysics, where his studies included stellar structure, subatomic sources of stellar energy, white dwarf stars, and diffuse matter in interstellar space. His philosophical ideas led him to believe that unifying quantum theory and general relativity would permit the calculation of certain universal constants.

For more information on Sir Arthur Stanley Eddington, visit Britannica.com.

 
Columbia Encyclopedia: Sir Arthur Stanley Eddington
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Eddington, Sir Arthur Stanley, 1882–1944, British astronomer and physicist. He was chief assistant (1906–13) at the Royal Observatory, Greenwich, and was from 1913 Plumian professor of astronomy at Cambridge, where he was director of the observatory from 1914. Eddington was one of the first physicists to grasp the theory of relativity, of which he became a leading exponent. He organized the expedition to view a total solar eclipse in 1919; his observations of bright objects near the sun confirmed the prediction of general relativity that light rays are bent when subjected to a strong gravitational field. He made important contributions to the study of the evolution, motion, and internal constitution of stars, but rejected the idea that gravitional collapse could produce a black hole. His theory that stars shine from the energy of nuclear reactions is considered the start of modern astrophysics. One of the foremost contemporary expositors of scientific subjects, he was also concerned with the relation of physics to philosophy. He was knighted in 1930. His writings include Mathematical Theory of Relativity (1923), The Internal Constitution of the Stars (1926; his most famous book), and Stars and Atoms (1928).

Bibliography

See biographies by A. V. Douglas (1956) and C. W. Kilmister (1966); study by Sir E. Whittaker (1951); A. I. Miller, Empire of the Stars: Obsession, Friendship, and Betrayal in the Quest for Black Holes (2005).

 
Quotes By: Arthur Stanley Eddington
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Quotes:

"It cannot be denied that for a society which has to create scarcity to save its members from starvation, to whom abundance spells disaster, and to whom unlimited energy means unlimited power for war and destruction, there is an ominous cloud in the distance though at present it be no bigger than a man's hand."

 
Wikipedia: Arthur Stanley Eddington
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Arthur Eddington
Born 28 December 1882(1882-12-28)
Kendal, England
Died 22 November 1944 (aged 61)
Cambridge, England
Residence England
Nationality English
Fields Astrophysicist
Institutions University of Cambridge
Alma mater University of Cambridge
Manchester University
Academic advisors Robert Alfred Herman
Doctoral students Leslie Comrie
Known for Eddington limit
Eddington number
Eddington-Dirac number
Influences Horace Lamb
Arthur Schuster
John William Graham
Notable awards Royal SocietyRoyal Medal (1928)
Smith's Prize (1907)
RAS Gold Medal (1924)
Henry Draper Medal (1924)
Bruce Medal (1924)
Knights Bachelor (1930)
Order of Merit (1938)
Religious stance Quaker[1]

Arthur Stanley Eddington, OM, FRS (28 December 1882 – 22 November 1944) was a British astrophysicist of the early 20th century. The Eddington limit, the natural limit to the luminosity of stars, or the radiation generated by accretion onto a compact object, is named in his honour.

He is famous for his work regarding the Theory of Relativity. Eddington wrote a number of articles which announced and explained Einstein's theory of general relativity to the English-speaking world. World War I severed many lines of scientific communication and new developments in German science were not well known in England. He also conducted an eclipse expedition in 1919 that provided one of the earliest confirmations of relativity, and he became known for his popular expositions and interpretations of the theory.

Contents

Biography

Early years

Eddington was born in Kendal, England, son of Quaker parents, Arthur Henry Eddington and Sarah Ann Shout. His father taught at a Quaker training college in Lancashire before moving to Kendal to become headmaster of Stramongate School. He died in the typhoid epidemic which swept England in 1884. When his father died, his mother was left to bring up her two children with relatively little income. The family moved to Weston-super-Mare where at first Stanley (as his mother and sister always called Eddington) was educated at home before spending three years at a preparatory school.

In 1893 Stanley entered Brynmelyn School. He proved to be a most capable scholar particularly in mathematics and English literature. His performance earned him a scholarship to Owens College, Manchester in 1898, which he was able to attend, having turned 16 that year. He spent the first year in a general course, but turned to physics for the next three years. Eddington was greatly influenced by his physics and mathematics teachers, Arthur Schuster and Horace Lamb. At Manchester, Eddington lived at Dalton Hall, where he came under the lasting influence of the Quaker mathematician J.W. Graham. His progress was rapid, winning him several scholarships and he graduated with a B.Sc. in physics with First Class Honours in 1902.

Based on his performance at Owens College, he was awarded a scholarship to the University of Cambridge (Trinity College) in 1902. His tutor at Cambridge was the distinguished mathematician R.A. Herman and in 1904 Eddington became the first ever second-year student to be placed as Senior Wrangler. After receiving his B.A. in 1905, he began research on thermionic emission in the Cavendish Laboratory. This did not go well, and meanwhile he spent time teaching mathematics to first year engineering students, without much satisfaction. But fortunately this hiatus was brief.

Astronomy

In January 1906, Eddington was nominated to the post of chief assistant to the Astronomer Royal at the Royal Greenwich Observatory. He left Cambridge for Greenwich the following month. He was put to work on a detailed analysis of the parallax of 433 Eros on photographic plates that had started in 1900. He developed a new statistical method based on the apparent drift of two background stars, winning him the Smith's Prize in 1907. The prize won him a Fellowship of Trinity College, Cambridge. In December 1912 George Darwin, son of Charles Darwin, died suddenly and Eddington was promoted to his chair as the Plumian Professor of Astronomy and Experimental Philosophy in early 1913. Later that year, Robert Ball, holder of the theoretical Lowndean chair also died, and Eddington was named the director of the entire Cambridge Observatory the next year. He was elected a Fellow of the Royal Society shortly after.

Eddington also investigated the interior of stars through theory, and developed the first true understanding of stellar processes. He began this in 1916 with investigations of possible physical explanations for Cepheid variables. He began by extending Karl Schwarzschild's earlier work on radiation pressure in Emden polytropic models. These models treated a star as a sphere of gas held up against gravity by internal thermal pressure, and one of Eddington's chief additions was to show that radiation pressure was necessary to prevent collapse of the sphere. He developed his model despite knowingly lacking firm foundations for understanding opacity and energy generation in the stellar interior. However, his results allowed for calculation of temperature, density and pressure at all points inside a star, and Eddington argued that his theory was so useful for further astrophysical investigation that it should be retained despite not being based on completely accepted physics. James Jeans contributed the important suggestion that stellar matter would certainly be ionized, but that was the end of any collaboration between the pair, who became famous for their lively debates.

Eddington defended his method by pointing to the utility of his results, particularly his important mass-luminosity relation. This had the unexpected result of showing that virtually all stars, including giants and dwarfs, behaved as ideal gases. In the process of developing his stellar models, he sought to overturn current thinking about the sources of stellar energy. Jeans and others defended the Kelvin-Helmholtz mechanism, which was based on classical mechanics, while Eddington speculated broadly about the qualitative and quantitative consequences of possible proton-electron annihilation and nuclear fusion processes.

With these assumptions, he demonstrated that the interior temperature of stars must be millions of degrees. In 1924, he discovered the mass-luminosity relation for stars (see Lecchini in #External links and references ). Despite some disagreement, Eddington's models were eventually accepted as a powerful tool for further investigation, particularly in issues of stellar evolution. The confirmation of his estimated stellar diameters by Michelson in 1920 proved crucial in convincing astronomers unused to Eddington's intuitive, exploratory style. Eddington's theory appeared in mature form in 1926 as The Internal Constitution of the Stars, which became an important text for training an entire generation of astrophysicists.

During World War I Eddington became embroiled in controversy within the British astronomical and scientific communities. Many astronomers, chief among them H.H. Turner, argued that scientific relations with all of the Central Powers should be permanently ended due to their conduct in the war. Eddington, a Quaker pacifist, struggled to keep wartime bitterness out of astronomy. He repeatedly called for British scientists to preserve their pre-war friendships and collegiality with German scientists. Eddington's pacifism caused severe difficulties during the war, especially when he was called up for conscription in 1918. He claimed conscientious objector status, a position recognized by the law, if somewhat despised by the public. In 1918 the government sought to revoke this deferment, and only the timely intervention of the Astronomer Royal and other high profile figures kept Eddington out of prison.

Eddington's work in astrophysics in the late 1920s and the 1930s continued his work in stellar structure, and precipitated further clashes with Jeans and E.A. Milne. An important topic was the extension of his models to take advantage of developments in quantum physics, including the use of degeneracy physics in describing dwarf stars. This precipitated his famous dispute with Subrahmanyan Chandrasekhar, who was then a student at Cambridge. Chandrasekhar's narrative of this incident, in which his work is harshly rejected, portrays Eddington as rather cruel and dogmatic, and is at variance with Eddington's character as described by other contemporaries. Eddington's criticism seems to have been based on a suspicion that a purely mathematical derivation from quantum theory was not enough to explain the daunting physical paradoxes that were apparently part of degenerate stars.

Relativity

During World War I Eddington was Secretary of the Royal Astronomical Society, which meant he was the first to receive a series of letters and papers from Willem de Sitter regarding Einstein’s theory of general relativity. Eddington was fortunate in being not only one of the few astronomers with the mathematical skills to understand general relativity, but (owing to his international and pacifist views) one of the few at the time who was still interested in pursuing a theory developed by a German physicist. He quickly became the chief supporter and expositor of relativity in Britain. He and Astronomer Royal Frank Watson Dyson organized two expeditions to observe a solar eclipse in 1919 to make the first empirical test of Einstein’s theory: the measurement of the deflection of light by the sun's gravitational field. In fact, it was Dyson’s argument for the indispensability of Eddington’s expertise in this test that allowed him to escape prison during the war.

One of Eddington's photographs of the 1919 eclipse, presented in his 1920 paper announcing its success.

After the war, Eddington travelled to the island of Príncipe near Africa to watch the solar eclipse of 29 May 1919. During the eclipse, he took pictures of the stars in the region around the Sun. According to the theory of general relativity, stars with light rays that passed near the Sun would appear to have been slightly shifted because their light had been curved by its gravitational field. This effect is noticeable only during an eclipse, since otherwise the Sun's brightness obscures the affected stars. Eddington showed that Newtonian gravitation could be interpreted to predict half the shift predicted by Einstein. (Somewhat confusingly, this same half-shift was initially predicted by Einstein with an incomplete version of general relativity. By the time of the 1919 eclipse Einstein had corrected his calculations.)

Eddington's observations published the next year[2] confirmed Einstein's theory, and were hailed at the time as a conclusive proof of general relativity over the Newtonian model. The news was reported in newspapers all over the world as a major story. Afterward, Eddington embarked on a campaign to popularize relativity and the expedition as landmarks both in scientific development and international scientific relations.

It has been claimed that Eddington's observations were of poor quality and he had unjustly discounted simultaneous observations at Sobral, Brazil which appeared closer to the Newtonian model[3]. The quality of the 1919 results was indeed poor compared to later observations, but was sufficient to persuade contemporary astronomers. The rejection of the results from the Brazil expedition was due to a defect in the telescopes used which, again, was completely accepted and well-understood by contemporary astronomers.[4]. The myth that Eddington's results were fraudulent is a modern invention.

Throughout this period Eddington lectured on relativity, and was particularly well known for his ability to explain the concepts in lay terms as well as scientific. He collected many of these into the Mathematical Theory of Relativity in 1923, which Albert Einstein suggested was "the finest presentation of the subject in any language." He was an early advocate of Einstein's General Relativity, and an interesting anecdote well illustrates his humor and personal intellectual investment: Ludwig Silberstein, a physicist who thought of himself as an expert on relativity, approached Eddington at the Royal Society's (6 November) 1919 meeting where he had defended Einstein's Relativity with his Brazil-Principe Solar Eclipse calculations with some degree of scepticism and ruefully charged Arthur as one who claimed to be one of three men who actually understood the theory (Silberstein, of course, was including himself and Einstein as the other two). When Eddington refrained from replying, he insisted Arthur not be "so shy", whereupon Eddington replied, "Oh, no! I was wondering who the third one might be!"[5]

Popular and philosophical writings

During the 1920s and 30s Eddington gave innumerable lectures, interviews, and radio broadcasts on relativity (in addition to his textbook Mathematical Theory of Relativity), and later, quantum mechanics. Many of these were gathered into books, including The Nature of the Physical World and New Pathways in Science. His skillful use of literary allusions and humor helped make these famously difficult subjects quite accessible.

Eddington's books and lectures were immensely popular with the public, not only because of Eddington’s clear and entertaining exposition, but also for his willingness to discuss the philosophical and religious implications of the new physics. He argued for a deeply-rooted philosophical harmony between scientific investigation and religious mysticism, and also that the positivist nature of modern physics (i.e., relativity and quantum physics) provided new room for personal religious experience and free will. Unlike many other spiritual scientists, he rejected the idea that science could provide proof of religious propositions. He promoted the infinite monkey theorem in his 1928 book The Nature of the Physical World, with the phrase "If an army of monkeys were strumming on typewriters, they might write all the books in the British Museum". His popular writings made him, quite literally, a household name in Great Britain between the world wars.

Cosmology

Eddington was also heavily involved with the development of the first generation of general relativistic cosmological models. He had been investigating the instability of the Einstein universe when he learned of both Lemaitre's 1927 paper postulating an expanding or contracting universe and Hubble's work on the recession on the spiral nebulae. He soon became an enthusiastic supporter of an expanding universe cosmology, pointing to the nebular recession as evidence of a curved space-time. However, he never accepted the argument that an expanding universe required a beginning. He rejected what would later be known as Big Bang cosmologies as 'too unaesthetically abrupt.' He felt the cosmical constant must have played the crucial role in the universe's evolution from an Einsteinian steady state to its current expanding state, and most of his cosmological investigations focused on the constant's significance and characteristics.

Fundamental theory

During the 1920s until his death, he increasingly concentrated on what he called "fundamental theory" which was intended to be a unification of quantum theory, relativity and gravitation. At first he progressed along "traditional" lines, but turned increasingly to an almost numerological analysis of the dimensionless ratios of fundamental constants.

His basic approach was to combine several fundamental constants in order to produce a dimensionless number. In many cases these would result in numbers close to 1040, its square, or its square root. He was convinced that the mass of the proton and the charge of the electron, were a natural and complete specification for constructing a Universe and that their values were not accidental. One of the discoverers of quantum mechanics, Paul Dirac, also pursued this line of investigation, which has become known as the Dirac large numbers hypothesis, and some scientists even today believe it has something to it.

A somewhat damaging statement in his defence of these concepts involved the fine structure constant α. At the time it was measured to be very close to 1/136, and he argued that the value should in fact be exactly 1/136 for epistemological reasons. Later measurements placed the value much closer to 1/137, at which point he switched his line of reasoning to argue that one more should be added to the degrees of freedom), so that the value should in fact be exactly 1/137, the Eddington number. Wags at the time started calling him "Arthur Adding-one". This change of stance detracted from Eddington's credibility in the physics community. The current measured value is estimated at 1/137.035999679(94).

Eddington believed he had identified an algebraic basis for fundamental physics, which he termed "E-frames" (representing a certain group - a Clifford algebra). While his theory has long been neglected by the general physics community, similar algebraic notions underlie many modern attempts at a grand unified theory. Moreover, Eddington's emphasis on the values of the fundamental constants, and specifically upon dimensionless numbers derived from them, is nowadays a central concern of physics.

He did not complete this line of research before his death in 1944, and his book entitled Fundamental Theory was published posthumously in 1948. Eddington died in Cambridge, England and is buried at the Parish of the Ascension Burial Ground in Cambridge.

Eddington number (cycling)

Eddington is credited with devising a measure of a cyclist's long distance riding achievements. The Eddington Number in this context is defined as E, the number of days a cyclist has cycled more than E miles[6][7]. For example an Eddington Number of 70 would imply that a cyclist has cycled more than 70 miles in a day on 70 occasions. Achieving a high Eddington number is difficult since moving from, say, 70 to 75 will probably require more than five new long distance rides since any rides shorter than 75 miles will no longer be included in the reckoning.

The construct of the Eddington Number for cycling is identical to the h-index that quantifies both the actual scientific productivity and the apparent scientific impact of a scientist.

Honours

Awards

Named after him

Service

Bibliography

In popular culture

Eddington was portrayed by actor David Tennant in the television film Einstein and Eddington (duration 89 minutes), a co-production of the BBC and HBO, broadcast in the UK on Saturday 22 November 2008, on BBC2.

References

  1. ^ http://www.adherents.com/people/pe/Arthur_Eddington.html
  2. ^ Dyson; Eddington, A.S., & Davidson, C.R. (1920). "A Determination of the Deflection of Light by the Sun's Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919". Phil. Trans. Roy. Soc. A 220: 291–333. doi:10.1098/rsta.1920.0009. http://adsabs.harvard.edu/abs/1920RSPTA.220..291D. 
  3. ^ Not Only Because of Theory: Dyson, Eddington and the Competing Myths of the 1919 Eclipse Expedition by Daniel Kennefick
  4. ^ D. Kennefick, "Testing relativity from the 1919 eclipse- a question of bias," Physics Today, March 2009, pp. 37-42.
  5. ^ As related by Eddington to Chandrasekhar and quoted in Walter Isaacson "Einstein: His Life and Universe", page 262
  6. ^ PhysicsWorld Archive » Volume 18 » Cycling record
  7. ^ Tlatet: Eddington number
  8. ^ a b c d Who's who entry for A.S. Eddington.

See also

External links and references

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