This is a good article. Click here for more information.
Page semi-protected

Albert Einstein

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

Albert Einstein
Einstein 1921 by F Schmutzer - restoration.jpg
Einstein in 1921
Born(1879-03-14)14 March 1879
Died18 April 1955(1955-04-18) (aged 76)
Citizenship
Education
Known for
Spouse(s)
(m. 1903; div. 1919)
(m. 1919; died[1][2] 1936)
Children
Awards
Scientific career
FieldsPhysics, philosophy
Institutions
ThesisEine neue Bestimmung der Moleküldimensionen (A New Determination of Molecular Dimensions) (1905)
Doctoral advisorAlfred Kleiner
Other academic advisorsHeinrich Friedrich Weber
Influences
Influenced
Signature
Albert Einstein signature 1934.svg

Albert Einstein (/ˈnstn/ EYEN-styne;[4] German: [ˈalbɛʁt ˈʔaɪnʃtaɪn] (About this soundlisten); 14 March 1879 – 18 April 1955) was a German-born theoretical physicist[5] who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).[3][6] His work is also known for its influence on the philosophy of science.[7][8] He is best known to the general public for his mass–energy equivalence formula E = mc2, which has been dubbed "the world's most famous equation".[9] He received the 1921 Nobel Prize in Physics "for his services to theoretical physics, and especially for his discovery of the law of the photoelectric effect",[10] a pivotal step in the development of quantum theory.

The son of a salesman who later operated an electrochemical factory, Einstein was born in the German Empire, but moved to Switzerland in 1895, forsaking his German citizenship the following year. Specializing in physics and mathematics, he received his academic teaching diploma from the Swiss Federal Polytechnic School in Zürich in 1900. The following year, he acquired Swiss citizenship, which he kept for his entire life. After initially struggling to find work, from 1902 to 1909 he was employed as a patent examiner at the Swiss Patent Office in Bern.

Near the beginning of his career, Einstein thought that the laws of classical mechanics could no longer be reconciled with those of the electromagnetic field. This led him to develop his special theory of relativity during his time as a patent clerk. In 1905, called his annus mirabilis ('miracle year'), he published four groundbreaking papers which attracted the attention of the academic world; the first paper outlined the theory of the photoelectric effect, the second explained Brownian motion, the third introduced special relativity, and the fourth mass–energy equivalence. That year, at the age of 26, he was awarded a PhD by the University of Zurich.

Although initially treated with skepticism from many in the scientific community, Einstein's works gradually came to be recognised as significant advancements. He was invited to teach theoretical physics at the University of Bern in 1908 and the following year moved to the University of Zurich, then in 1911 to Charles University in Prague before returning to ETH (the newly renamed Federal Polytechnic School) in Zürich in 1912. In 1914, he was elected to the Prussian Academy of Sciences in Berlin, where he remained for 19 years. Soon after publishing his work on special relativity, Einstein began working to extend the theory to gravitational fields; he then published a paper on general relativity in 1916, introducing his theory of gravitation. He continued to deal with problems of statistical mechanics and quantum theory, which led to his explanations of particle theory and the motion of molecules. He also investigated the thermal properties of light and the quantum theory of radiation, the basis of the laser, which laid the foundation of the photon theory of light. In 1917, he applied the general theory of relativity to model the structure of the universe.[11][12]

In 1933, while Einstein was visiting the United States, Adolf Hitler came to power. Because of his Jewish background, Einstein did not return to Germany.[13] He settled in the United States and became an American citizen in 1940.[14] On the eve of World War II, he endorsed a letter to President Franklin D. Roosevelt alerting him to the potential German nuclear weapons program and recommending that the US begin similar research. Einstein supported the Allies, but generally denounced the idea of nuclear weapons.

Einstein was affiliated with the Institute for Advanced Study in Princeton, New Jersey, until his death in 1955. He published more than 300 scientific papers and more than 150 non-scientific works.[11][15] His intellectual achievements and originality have made the word "Einstein" synonymous with "genius".[16] Eugene Wigner compared him to his contemporaries, writing that "Einstein's understanding was deeper even than Jancsi von Neumann's. His mind was both more penetrating and more original than von Neumann's."[17]

Life and career

Early life and education

A young boy with short hair and a round face, wearing a white collar and large bow, with vest, coat, skirt and high boots. He is leaning against an ornate chair.
Einstein at the age of three in 1882
Start of a speech by Albert Einstein. "Ladies (coughs) and gentlemen, our age is proud of the progress it has made in man's intellectual development. The search and striving for truth and knowledge is one of the highest of man's qualities ..." United Jewish Appeal, 11 April 1943. Radio Universidad Nacional de La Plata, Argentina.

Albert Einstein was born in Ulm, in the Kingdom of Württemberg in the German Empire, on 14 March 1879.[5] His parents were Hermann Einstein, a salesman and engineer, and Pauline Koch. In 1880, the family moved to Munich, where Einstein's father and his uncle Jakob founded Elektrotechnische Fabrik J. Einstein & Cie, a company that manufactured electrical equipment based on direct current.[5]

The Einsteins were non-observant Ashkenazi Jews, and Albert attended a Catholic elementary school in Munich, from the age of five, for three years. At the age of eight, he was transferred to the Luitpold Gymnasium (now known as the Albert Einstein Gymnasium), where he received advanced primary and secondary school education until he left the German Empire seven years later.[18]

In 1894, Hermann and Jakob's company lost a bid to supply the city of Munich with electrical lighting because they lacked the capital to convert their equipment from the direct current (DC) standard to the more efficient alternating current (AC) standard.[19] The loss forced the sale of the Munich factory. In search of business, the Einstein family moved to Italy, first to Milan and a few months later to Pavia. When the family moved to Pavia, Einstein, then 15, stayed in Munich to finish his studies at the Luitpold Gymnasium. His father intended for him to pursue electrical engineering, but Einstein clashed with the authorities and resented the school's regimen and teaching method. He later wrote that the spirit of learning and creative thought was lost in strict rote learning. At the end of December 1894, he traveled to Italy to join his family in Pavia, convincing the school to let him go by using a doctor's note.[20] During his time in Italy he wrote a short essay with the title "On the Investigation of the State of the Ether in a Magnetic Field".[21][22]

Einstein always excelled at math and physics from a young age, reaching a mathematical level years ahead of his peers. The 12-year-old Einstein taught himself algebra and Euclidean geometry over a single summer.[23] Einstein also independently discovered his own original proof of the Pythagorean theorem at age 12.[24] A family tutor Max Talmud says that after he had given the 12-year-old Einstein a geometry textbook, after a short time "[Einstein] had worked through the whole book. He thereupon devoted himself to higher mathematics... Soon the flight of his mathematical genius was so high I could not follow."[25] His passion for geometry and algebra led the 12-year-old to become convinced that nature could be understood as a "mathematical structure".[25] Einstein started teaching himself calculus at 12, and as a 14-year-old he says he had "mastered integral and differential calculus".[26]

Studio photo of a boy seated in a relaxed posture and wearing a suit, posed in front of a backdrop of scenery.
Albert Einstein in 1893 (age 14)
Einstein's matriculation certificate at the age of 17. The heading translates as "The Education Committee of the Canton of Aargau". His scores were German 5, French 3, Italian 5, History 6, Geography 4, Algebra 6, Geometry 6, Descriptive Geometry 6, Physics 6, Chemistry 5, Natural History 5, Art Drawing 4, Technical Drawing 4. 6 = very good, 5 = good, 4 = sufficient, 3 = insufficient, 2 = poor, 1 = very poor.
Einstein's matriculation certificate[note 2]

At age 13, when he had become more seriously interested in philosophy (and music),[27] Einstein was introduced to Kant's Critique of Pure Reason, and Kant became his favorite philosopher, his tutor stating: "At the time he was still a child, only thirteen years old, yet Kant's works, incomprehensible to ordinary mortals, seemed to be clear to him."[25]

In 1895, at the age of 16, Einstein took the entrance examinations for the Swiss Federal Polytechnic School in Zürich (later the Eidgenössische Technische Hochschule, ETH). He failed to reach the required standard in the general part of the examination,[28] but obtained exceptional grades in physics and mathematics.[29] On the advice of the principal of the polytechnic school, he attended the Argovian cantonal school (gymnasium) in Aarau, Switzerland, in 1895 and 1896 to complete his secondary schooling. While lodging with the family of professor Jost Winteler, he fell in love with Winteler's daughter, Marie. Albert's sister Maja later married Winteler's son Paul.[30] In January 1896, with his father's approval, Einstein renounced his citizenship in the German Kingdom of Württemberg to avoid military service.[31] In September 1896, he passed the Swiss Matura with mostly good grades, including a top grade of 6 in physics and mathematical subjects, on a scale of 1–6.[32] At 17, he enrolled in the four-year mathematics and physics teaching diploma program at the Zürich polytechnic school. Marie Winteler, who was a year older, moved to Olsberg, Switzerland, for a teaching post.[30]

Einstein's future wife, a 20-year-old Serbian named Mileva Marić, also enrolled at the polytechnic school that year. She was the only woman among the six students in the mathematics and physics section of the teaching diploma course. Over the next few years, Einstein's and Marić's friendship developed into romance, and they spent countless hours debating and reading books together on extra-curricular physics in which they were both interested. Einstein wrote in his letters to Marić that he preferred studying alongside her.[33] In 1900, Einstein passed the exams in Maths and Physics and was awarded the Federal teaching diploma.[34] There is eyewitness evidence and several letters over many years that indicate Marić might have collaborated with Einstein prior to his 1905 papers,[33][35][36] known as the Annus Mirabilis papers, and that they developed some of the concepts together during their studies, although some historians of physics who have studied the issue disagree that she made any substantive contributions.[37][38][39][40]

Marriages and children

Albert and Mileva Einstein, 1912

Early correspondence between Einstein and Marić was discovered and published in 1987 which revealed that the couple had a daughter named "Lieserl", born in early 1902 in Novi Sad where Marić was staying with her parents. Marić returned to Switzerland without the child, whose real name and fate are unknown. The contents of Einstein's letter in September 1903 suggest that the girl was either given up for adoption or died of scarlet fever in infancy.[41][42]

Einstein, looking relaxed and holding a pipe, stands next to a smiling, well-dressed Elsa who is wearing a fancy hat and fur wrap. She is looking at him.
Einstein with his second wife, Elsa, in 1921

Einstein and Marić married in January 1903. In May 1904, their son Hans Albert Einstein was born in Bern, Switzerland. Their son Eduard was born in Zürich in July 1910. The couple moved to Berlin in April 1914, but Marić returned to Zürich with their sons after learning that despite their close relationship before,[33] Einstein's chief romantic attraction was now his cousin Elsa Löwenthal;[43] she was his first cousin maternally and second cousin paternally.[44] They divorced on 14 February 1919, having lived apart for five years.[45][46] Eduard had a breakdown at about age 20 and was diagnosed with schizophrenia.[47] His mother cared for him and he was also committed to asylums for several periods, finally being committed permanently after her death.[48]

In letters revealed in 2015, Einstein wrote to his early love Marie Winteler about his marriage and his strong feelings for her. He wrote in 1910, while his wife was pregnant with their second child: "I think of you in heartfelt love every spare minute and am so unhappy as only a man can be." He spoke about a "misguided love" and a "missed life" regarding his love for Marie.[49]

Einstein married Elsa Löwenthal in 1919,[50][51] after having a relationship with her since 1912.[44] They emigrated to the United States in 1933. Elsa was diagnosed with heart and kidney problems in 1935 and died in December 1936.[52]

In 1923, Einstein fell in love with a secretary named Betty Neumann, the niece of a close friend, Hans Mühsam.[53][54][55][56] In a volume of letters released by Hebrew University of Jerusalem in 2006,[57] Einstein described about six women, including Margarete Lebach (a blonde Austrian), Estella Katzenellenbogen (the rich owner of a florist business), Toni Mendel (a wealthy Jewish widow) and Ethel Michanowski (a Berlin socialite), with whom he spent time and from whom he received gifts while being married to Elsa.[58][59] Later, after the death of his second wife Elsa, Einstein was briefly in a relationship with Margarita Konenkova.[60] Konenkova was a Russian spy who was married to the noted Russian sculptor Sergei Konenkov (who created the bronze bust of Einstein at the Institute for Advanced Study at Princeton).[61][62]

Friends

Among Einstein's well-known friends were Michele Besso, Paul Ehrenfest, Marcel Grossmann, János Plesch, Daniel Q. Posin, Maurice Solovine, Stephen Samuel Wise[63] and Fritz Haber.[64]

Patent office

Head and shoulders shot of a young, moustached man with dark, curly hair wearing a plaid suit and vest, striped shirt, and a dark tie.
Albert Einstein in 1904 (age 25)

After graduating in 1900, Einstein spent almost two frustrating years searching for a teaching post. He acquired Swiss citizenship in February 1901,[65] but for medical reasons was not conscripted. With the help of Marcel Grossmann's father, he secured a job in Bern at the Federal Office for Intellectual Property, the patent office,[66][67] as an assistant examiner – level III.[68][69]

Einstein evaluated patent applications for a variety of devices including a gravel sorter and an electromechanical typewriter.[69] In 1903, his position at the Swiss Patent Office became permanent, although he was passed over for promotion until he "fully mastered machine technology".[70]

Much of his work at the patent office related to questions about transmission of electric signals and electrical–mechanical synchronization of time, two technical problems that show up conspicuously in the thought experiments that eventually led Einstein to his radical conclusions about the nature of light and the fundamental connection between space and time.[71]

With a few friends he had met in Bern, Einstein started a small discussion group in 1902, self-mockingly named "The Olympia Academy", which met regularly to discuss science and philosophy. Sometimes they were joined by Mileva who attentively listened but did not participate.[72] Their readings included the works of Henri Poincaré, Ernst Mach, and David Hume, which influenced his scientific and philosophical outlook.[73]

First scientific papers

In 1900, Einstein's paper "Folgerungen aus den Capillaritätserscheinungen" ("Conclusions from the Capillarity Phenomena") was published in the journal Annalen der Physik.[74][75] On 30 April 1905, Einstein completed his thesis,[76] with Alfred Kleiner, Professor of Experimental Physics, serving as pro-forma advisor. As a result, Einstein was awarded a PhD by the University of Zürich, with his dissertation A New Determination of Molecular Dimensions.[76][77]

Also in 1905, which has been called Einstein's annus mirabilis (amazing year), he published four groundbreaking papers, on the photoelectric effect, Brownian motion, special relativity, and the equivalence of mass and energy, which were to bring him to the notice of the academic world, at the age of 26.

Academic career

By 1908, he was recognized as a leading scientist and was appointed lecturer at the University of Bern. The following year, after he gave a lecture on electrodynamics and the relativity principle at the University of Zurich, Alfred Kleiner recommended him to the faculty for a newly created professorship in theoretical physics. Einstein was appointed associate professor in 1909.[78]

Einstein became a full professor at the German Charles-Ferdinand University in Prague in April 1911, accepting Austrian citizenship in the Austro-Hungarian Empire to do so.[79][80] During his Prague stay, he wrote 11 scientific works, five of them on radiation mathematics and on the quantum theory of solids. In July 1912, he returned to his alma mater in Zürich. From 1912 until 1914, he was a professor of theoretical physics at the ETH Zurich, where he taught analytical mechanics and thermodynamics. He also studied continuum mechanics, the molecular theory of heat, and the problem of gravitation, on which he worked with mathematician and friend Marcel Grossmann.[81]

The New York Times reported confirmation of "the Einstein theory" (specifically, the bending of light by gravitation) based on 29 May 1919 eclipse observations in Principe (Africa) and Sobral (Brazil), after the findings were presented on 6 November 1919 to a joint meeting in London of the Royal Society and the Royal Astronomical Society.[82] (Full text)

On 3 July 1913, he was voted for membership[clarification needed] in the Prussian Academy of Sciences in Berlin. Max Planck and Walther Nernst visited him the next week in Zurich to persuade him to join the academy, additionally offering him the post of director at the Kaiser Wilhelm Institute for Physics, which was soon to be established.[83] Membership in the academy included paid salary and professorship without teaching duties at Humboldt University of Berlin. He was officially elected to the academy on 24 July, and he moved to Berlin the following year. His decision to move to Berlin was also influenced by the prospect of living near his cousin Elsa, with whom he had started a romantic affair. He joined the academy and thus Berlin University[clarification needed] on 1 April 1914.[clarification needed][84] As World War I broke out that year, the plan for Kaiser Wilhelm Institute for Physics was aborted. The institute was established on 1 October 1917, with Einstein as its director.[85] In 1916, Einstein was elected president of the German Physical Society (1916–1918).[86]

Einstein's official portrait after receiving the 1921 Nobel Prize in Physics

Based on calculations Einstein had made in 1911 using his new theory of general relativity, light from another star should be bent by the Sun's gravity. In 1919, that prediction was confirmed by Sir Arthur Eddington during the solar eclipse of 29 May 1919. Those observations were published in the international media, making Einstein world-famous. On 7 November 1919, the leading British newspaper The Times printed a banner headline that read: "Revolution in Science – New Theory of the Universe – Newtonian Ideas Overthrown".[87]

In 1920, he became a Foreign Member of the Royal Netherlands Academy of Arts and Sciences.[88] In 1922, he was awarded the 1921 Nobel Prize in Physics "for his services to Theoretical Physics, and especially for his discovery of the law of the photoelectric effect".[10] While the general theory of relativity was still considered somewhat controversial, the citation also does not treat even the cited photoelectric work as an explanation but merely as a discovery of the law, as the idea of photons was considered outlandish and did not receive universal acceptance until the 1924 derivation of the Planck spectrum by S. N. Bose. Einstein was elected a Foreign Member of the Royal Society (ForMemRS) in 1921.[3] He also received the Copley Medal from the Royal Society in 1925.[3]

1921–1922: Travels abroad

Einstein visited New York City for the first time on 2 April 1921, where he received an official welcome by Mayor John Francis Hylan, followed by three weeks of lectures and receptions. He went on to deliver several lectures at Columbia University and Princeton University, and in Washington, he accompanied representatives of the National Academy of Science on a visit to the White House. On his return to Europe he was the guest of the British statesman and philosopher Viscount Haldane in London, where he met several renowned scientific, intellectual and political figures, and delivered a lecture at King's College London.[89][90]

He also published an essay, "My First Impression of the U.S.A.", in July 1921, in which he tried briefly to describe some characteristics of Americans, much as had Alexis de Tocqueville, who published his own impressions in Democracy in America (1835).[91] For some of his observations, Einstein was clearly surprised: "What strikes a visitor is the joyous, positive attitude to life ... The American is friendly, self-confident, optimistic, and without envy."[92]

In 1922, his travels took him to Asia and later to Palestine, as part of a six-month excursion and speaking tour, as he visited Singapore, Ceylon and Japan, where he gave a series of lectures to thousands of Japanese. After his first public lecture, he met the emperor and empress at the Imperial Palace, where thousands came to watch. In a letter to his sons, he described his impression of the Japanese as being modest, intelligent, considerate, and having a true feel for art.[93] In his own travel diaries from his 1922–23 visit to Asia, he expresses some views on the Chinese, Japanese and Indian people, which have been described as xenophobic and racist judgments when they were rediscovered in 2018.[94][95]

Because of Einstein's travels to the Far East, he was unable to personally accept the Nobel Prize for Physics at the Stockholm award ceremony in December 1922. In his place, the banquet speech was made by a German diplomat, who praised Einstein not only as a scientist but also as an international peacemaker and activist.[96]

On his return voyage, he visited Palestine for 12 days, his only visit to that region. He was greeted as if he were a head of state, rather than a physicist, which included a cannon salute upon arriving at the home of the British high commissioner, Sir Herbert Samuel. During one reception, the building was stormed by people who wanted to see and hear him. In Einstein's talk to the audience, he expressed happiness that the Jewish people were beginning to be recognized as a force in the world.[97]

Einstein visited Spain for two weeks in 1923, where he briefly met Santiago Ramón y Cajal and also received a diploma from King Alfonso XIII naming him a member of the Spanish Academy of Sciences.[98]

Albert Einstein at a session of the International Committee on Intellectual Cooperation (League of Nations) of which he was a member from 1922 to 1932.

From 1922 to 1932, Einstein was a member of the International Committee on Intellectual Cooperation of the League of Nations in Geneva (with a few months of interruption in 1923–1924),[99] a body created to promote international exchange between scientists, researchers, teachers, artists and intellectuals.[100] Originally slated to serve as the Swiss delegate, Secretary-General Eric Drummond was persuaded by Catholic activists Oskar Halecki and Giuseppe Motta to instead have him become the German delegate, thus allowing Gonzague de Reynold to take the Swiss spot, from which he promoted traditionalist Catholic values.[101] Einstein's former physics professor Hendrik Lorentz and the Polish chemist Marie Curie were also members of the committee.

1930–1931: Travel to the US

In December 1930, Einstein visited America for the second time, originally intended as a two-month working visit as a research fellow at the California Institute of Technology. After the national attention he received during his first trip to the US, he and his arrangers aimed to protect his privacy. Although swamped with telegrams and invitations to receive awards or speak publicly, he declined them all.[102]

After arriving in New York City, Einstein was taken to various places and events, including Chinatown, a lunch with the editors of The New York Times, and a performance of Carmen at the Metropolitan Opera, where he was cheered by the audience on his arrival. During the days following, he was given the keys to the city by Mayor Jimmy Walker and met the president of Columbia University, who described Einstein as "the ruling monarch of the mind".[103] Harry Emerson Fosdick, pastor at New York's Riverside Church, gave Einstein a tour of the church and showed him a full-size statue that the church made of Einstein, standing at the entrance.[103] Also during his stay in New York, he joined a crowd of 15,000 people at Madison Square Garden during a Hanukkah celebration.[103]

Einstein (left) and Charlie Chaplin at the Hollywood premiere of City Lights, January 1931

Einstein next traveled to California, where he met Caltech president and Nobel laureate Robert A. Millikan. His friendship with Millikan was "awkward", as Millikan "had a penchant for patriotic militarism", where Einstein was a pronounced pacifist.[104] During an address to Caltech's students, Einstein noted that science was often inclined to do more harm than good.[105]

This aversion to war also led Einstein to befriend author Upton Sinclair and film star Charlie Chaplin, both noted for their pacifism. Carl Laemmle, head of Universal Studios, gave Einstein a tour of his studio and introduced him to Chaplin. They had an instant rapport, with Chaplin inviting Einstein and his wife, Elsa, to his home for dinner. Chaplin said Einstein's outward persona, calm and gentle, seemed to conceal a "highly emotional temperament", from which came his "extraordinary intellectual energy".[106]

Chaplin's film, City Lights, was to premiere a few days later in Hollywood, and Chaplin invited Einstein and Elsa to join him as his special guests. Walter Isaacson, Einstein's biographer, described this as "one of the most memorable scenes in the new era of celebrity".[105] Chaplin visited Einstein at his home on a later trip to Berlin and recalled his "modest little flat" and the piano at which he had begun writing his theory. Chaplin speculated that it was "possibly used as kindling wood by the Nazis".[107]

1933: Emigration to the US

Cartoon of Einstein, who has shed his "Pacifism" wings, standing next to a pillar labeled "World Peace". He is rolling up his sleeves and holding a sword labeled "Preparedness".
Cartoon of Einstein after shedding his "pacifism" wings (Charles R. Macauley, c. 1933)

In February 1933, while on a visit to the United States, Einstein knew he could not return to Germany with the rise to power of the Nazis under Germany's new chancellor, Adolf Hitler.[108][109]

While at American universities in early 1933, he undertook his third two-month visiting professorship at the California Institute of Technology in Pasadena. He and his wife Elsa returned to Europe in March, and during the trip, they learned that the German Reichstag passed the Enabling Act, which was passed on 23 March and transformed Hitler's government into a de facto legal dictatorship and that they would not be able to proceed to Berlin. Later on they heard that their cottage was raided by the Nazis and his personal sailboat confiscated. Upon landing in Antwerp, Belgium on 28 March, he immediately went to the German consulate and surrendered his passport, formally renouncing his German citizenship.[110] The Nazis later sold his boat and converted his cottage into a Hitler Youth camp.[111]

Refugee status

Albert Einstein's landing card (26 May 1933), when he landed in Dover (United Kingdom) from Ostende (Belgium) to visit Oxford.

In April 1933, Einstein discovered that the new German government had passed laws barring Jews from holding any official positions, including teaching at universities.[110] Historian Gerald Holton describes how, with "virtually no audible protest being raised by their colleagues", thousands of Jewish scientists were suddenly forced to give up their university positions and their names were removed from the rolls of institutions where they were employed.[112]

A month later, Einstein's works were among those targeted by the German Student Union in the Nazi book burnings, with Nazi propaganda minister Joseph Goebbels proclaiming, "Jewish intellectualism is dead."[110] One German magazine included him in a list of enemies of the German regime with the phrase, "not yet hanged", offering a $5,000 bounty on his head.[110][113] In a subsequent letter to physicist and friend Max Born, who had already emigrated from Germany to England, Einstein wrote, "... I must confess that the degree of their brutality and cowardice came as something of a surprise."[110] After moving to the US, he described the book burnings as a "spontaneous emotional outburst" by those who "shun popular enlightenment", and "more than anything else in the world, fear the influence of men of intellectual independence".[114]

Einstein was now without a permanent home, unsure where he would live and work, and equally worried about the fate of countless other scientists still in Germany. He rented a house in De Haan, Belgium, where he lived for a few months. In late July 1933, he went to England for about six weeks at the personal invitation of British naval officer Commander Oliver Locker-Lampson, who had become friends with Einstein in the preceding years. Locker-Lampson invited him to stay near his Cromer home in a wooden cabin on Roughton Heath in the Parish of Roughton, Norfolk. To protect Einstein, Locker-Lampson had two bodyguards watch over him at his secluded cabin, with a photo of them carrying shotguns and guarding Einstein, published in the Daily Herald on 24 July 1933.[115][116]

Locker-Lampson took Einstein to meet Winston Churchill at his home, and later, Austen Chamberlain and former Prime Minister Lloyd George.[117] Einstein asked them to help bring Jewish scientists out of Germany. British historian Martin Gilbert notes that Churchill responded immediately, and sent his friend, physicist Frederick Lindemann, to Germany to seek out Jewish scientists and place them in British universities.[118] Churchill later observed that as a result of Germany having driven the Jews out, they had lowered their "technical standards" and put the Allies' technology ahead of theirs.[118]

Einstein later contacted leaders of other nations, including Turkey's Prime Minister, İsmet İnönü, to whom he wrote in September 1933 requesting placement of unemployed German-Jewish scientists. As a result of Einstein's letter, Jewish invitees to Turkey eventually totaled over "1,000 saved individuals".[119]

Locker-Lampson also submitted a bill to parliament to extend British citizenship to Einstein, during which period Einstein made a number of public appearances describing the crisis brewing in Europe.[120] In one of his speeches he denounced Germany's treatment of Jews, while at the same time he introduced a bill promoting Jewish citizenship in Palestine, as they were being denied citizenship elsewhere.[121] In his speech he described Einstein as a "citizen of the world" who should be offered a temporary shelter in the UK.[note 3][122] Both bills failed, however, and Einstein then accepted an earlier offer from the Institute for Advanced Study, in Princeton, New Jersey, US, to become a resident scholar.[120]

Resident scholar at the Institute for Advanced Study

Portrait of Einstein taken in 1935 at Princeton

In October 1933, Einstein returned to the US and took up a position at the Institute for Advanced Study,[120][123] noted for having become a refuge for scientists fleeing Nazi Germany.[124] At the time, most American universities, including Harvard, Princeton and Yale, had minimal or no Jewish faculty or students, as a result of their Jewish quotas, which lasted until the late 1940s.[124]

Einstein was still undecided on his future. He had offers from several European universities, including Christ Church, Oxford where he stayed for three short periods between May 1931 and June 1933 and was offered a 5-year studentship,[125][126] but in 1935, he arrived at the decision to remain permanently in the United States and apply for citizenship.[120][127]

Einstein's affiliation with the Institute for Advanced Study would last until his death in 1955.[128] He was one of the four first selected (two of the others being John von Neumann and Kurt Gödel) at the new Institute, where he soon developed a close friendship with Gödel. The two would take long walks together discussing their work. Bruria Kaufman, his assistant, later became a physicist. During this period, Einstein tried to develop a unified field theory and to refute the accepted interpretation of quantum physics, both unsuccessfully.

World War II and the Manhattan Project

In 1939, a group of Hungarian scientists that included émigré physicist Leó Szilárd attempted to alert Washington to ongoing Nazi atomic bomb research. The group's warnings were discounted. Einstein and Szilárd, along with other refugees such as Edward Teller and Eugene Wigner, "regarded it as their responsibility to alert Americans to the possibility that German scientists might win the race to build an atomic bomb, and to warn that Hitler would be more than willing to resort to such a weapon."[129][130] To make certain the US was aware of the danger, in July 1939, a few months before the beginning of World War II in Europe, Szilárd and Wigner visited Einstein to explain the possibility of atomic bombs, which Einstein, a pacifist, said he had never considered.[131] He was asked to lend his support by writing a letter, with Szilárd, to President Roosevelt, recommending the US pay attention and engage in its own nuclear weapons research.

The letter is believed to be "arguably the key stimulus for the U.S. adoption of serious investigations into nuclear weapons on the eve of the U.S. entry into World War II".[132] In addition to the letter, Einstein used his connections with the Belgian Royal Family[133] and the Belgian queen mother to get access with a personal envoy to the White House's Oval Office. Some say that as a result of Einstein's letter and his meetings with Roosevelt, the US entered the "race" to develop the bomb, drawing on its "immense material, financial, and scientific resources" to initiate the Manhattan Project.

For Einstein, "war was a disease ... [and] he called for resistance to war." By signing the letter to Roosevelt, some argue he went against his pacifist principles.[134] In 1954, a year before his death, Einstein said to his old friend, Linus Pauling, "I made one great mistake in my life—when I signed the letter to President Roosevelt recommending that atom bombs be made; but there was some justification—the danger that the Germans would make them ..."[135] In 1955, Einstein and ten other intellectuals and scientists, including British philosopher Bertrand Russell, signed a manifesto highlighting the danger of nuclear weapons.

US citizenship

Einstein accepting US citizenship certificate from judge Phillip Forman

Einstein became an American citizen in 1940. Not long after settling into his career at the Institute for Advanced Study in Princeton, New Jersey, he expressed his appreciation of the meritocracy in American culture when compared to Europe. He recognized the "right of individuals to say and think what they pleased", without social barriers, and as a result, individuals were encouraged, he said, to be more creative, a trait he valued from his own early education.[136]

Einstein joined the National Association for the Advancement of Colored People (NAACP) in Princeton, where he campaigned for the civil rights of African Americans. He considered racism America's "worst disease",[113] seeing it as "handed down from one generation to the next".[137] As part of his involvement, he corresponded with civil rights activist W. E. B. Du Bois and was prepared to testify on his behalf during his trial in 1951.[138] When Einstein offered to be a character witness for Du Bois, the judge decided to drop the case.[139]

In 1946 Einstein visited Lincoln University in Pennsylvania, a historically black college, where he was awarded an honorary degree. Lincoln was the first university in the United States to grant college degrees to African Americans; alumni include Langston Hughes and Thurgood Marshall. Einstein gave a speech about racism in America, adding, "I do not intend to be quiet about it."[140] A resident of Princeton recalls that Einstein had once paid the college tuition for a black student.[139]

Personal life

Assisting Zionist causes

Einstein in 1947

Einstein was a figurehead leader in helping establish the Hebrew University of Jerusalem,[141] which opened in 1925 and was among its first Board of Governors. Earlier, in 1921, he was asked by the biochemist and president of the World Zionist Organization, Chaim Weizmann, to help raise funds for the planned university.[142] He also submitted various suggestions as to its initial programs.

Among those, he advised first creating an Institute of Agriculture in order to settle the undeveloped land. That should be followed, he suggested, by a Chemical Institute and an Institute of Microbiology, to fight the various ongoing epidemics such as malaria, which he called an "evil" that was undermining a third of the country's development.[143] Establishing an Oriental Studies Institute, to include language courses given in both Hebrew and Arabic, for scientific exploration of the country and its historical monuments, was also important.[144]

Chaim Weizmann later became Israel's first president. Upon his death while in office in November 1952 and at the urging of Ezriel Carlebach, Prime Minister David Ben-Gurion offered Einstein the position of President of Israel, a mostly ceremonial post.[145][146] The offer was presented by Israel's ambassador in Washington, Abba Eban, who explained that the offer "embodies the deepest respect which the Jewish people can repose in any of its sons".[147] Einstein declined, and wrote in his response that he was "deeply moved", and "at once saddened and ashamed" that he could not accept it.[147]

Love of music

Einstein (right) with writer, musician and Nobel laureate Rabindranath Tagore, 1930

Einstein developed an appreciation for music at an early age. In his late journals he wrote: "If I were not a physicist, I would probably be a musician. I often think in music. I live my daydreams in music. I see my life in terms of music... I get most joy in life out of music."[148][149]

His mother played the piano reasonably well and wanted her son to learn the violin, not only to instill in him a love of music but also to help him assimilate into German culture. According to conductor Leon Botstein, Einstein began playing when he was 5. However, he did not enjoy it at that age.[150]

When he turned 13, he discovered the violin sonatas of Mozart, whereupon he became enamored of Mozart's compositions and studied music more willingly. Einstein taught himself to play without "ever practicing systematically". He said that "love is a better teacher than a sense of duty."[150] At age 17, he was heard by a school examiner in Aarau while playing Beethoven's violin sonatas. The examiner stated afterward that his playing was "remarkable and revealing of 'great insight'". What struck the examiner, writes Botstein, was that Einstein "displayed a deep love of the music, a quality that was and remains in short supply. Music possessed an unusual meaning for this student."[150]

Music took on a pivotal and permanent role in Einstein's life from that period on. Although the idea of becoming a professional musician himself was not on his mind at any time, among those with whom Einstein played chamber music were a few professionals, and he performed for private audiences and friends. Chamber music had also become a regular part of his social life while living in Bern, Zürich, and Berlin, where he played with Max Planck and his son, among others. He is sometimes erroneously credited as the editor of the 1937 edition of the Köchel catalog of Mozart's work; that edition was prepared by Alfred Einstein, who may have been a distant relation.[151][152]

In 1931, while engaged in research at the California Institute of Technology, he visited the Zoellner family conservatory in Los Angeles, where he played some of Beethoven and Mozart's works with members of the Zoellner Quartet.[153][154] Near the end of his life, when the young Juilliard Quartet visited him in Princeton, he played his violin with them, and the quartet was "impressed by Einstein's level of coordination and intonation".[150]

Political and religious views

Casual group shot of four men and two women standing on a brick pavement.
Albert Einstein with his wife Elsa Einstein and Zionist leaders, including future President of Israel Chaim Weizmann, his wife Vera Weizmann, Menahem Ussishkin, and Ben-Zion Mossinson on arrival in New York City in 1921

In 1918, Einstein was one of the founding members of the German Democratic Party, a liberal party.[155] However, later in his life, Einstein's political view was in favor of socialism and critical of capitalism, which he detailed in his essays such as "Why Socialism?"[156][157] His opinions on the Bolsheviks also changed with time. In 1925, he criticized them for not having a 'well-regulated system of government' and called their rule a 'regime of terror and a tragedy in human history'. He later adopted a more balanced view, criticizing their methods but praising them, which is shown by his 1929 remark on Vladimir Lenin: "In Lenin I honor a man, who in total sacrifice of his own person has committed his entire energy to realizing social justice. I do not find his methods advisable. One thing is certain, however: men like him are the guardians and renewers of mankind's conscience."[158] Einstein offered and was called on to give judgments and opinions on matters often unrelated to theoretical physics or mathematics.[120] He strongly advocated the idea of a democratic global government that would check the power of nation-states in the framework of a world federation.[159] The FBI created a secret dossier on Einstein in 1932, and by the time of his death his FBI file was 1,427 pages long.[160]

Einstein was deeply impressed by Mahatma Gandhi, with whom he exchanged written letters. He described Gandhi as "a role model for the generations to come".[161]

Einstein spoke of his spiritual outlook in a wide array of original writings and interviews.[162] Einstein stated that he had sympathy for the impersonal pantheistic God of Baruch Spinoza's philosophy.[163] He did not believe in a personal god who concerns himself with fates and actions of human beings, a view which he described as naïve.[164] He clarified, however, that "I am not an atheist",[165] preferring to call himself an agnostic,[166][167] or a "deeply religious nonbeliever".[164] When asked if he believed in an afterlife, Einstein replied, "No. And one life is enough for me."[168]

Einstein was primarily affiliated with non-religious humanist and Ethical Culture groups in both the UK and US. He served on the advisory board of the First Humanist Society of New York,[169] and was an honorary associate of the Rationalist Association, which publishes New Humanist in Britain. For the 75th anniversary of the New York Society for Ethical Culture, he stated that the idea of Ethical Culture embodied his personal conception of what is most valuable and enduring in religious idealism. He observed, "Without 'ethical culture' there is no salvation for humanity."[170]

In a German-language letter to philosopher Eric Gutkind, dated 3 January 1954, Einstein wrote:

The word God is for me nothing more than the expression and product of human weaknesses, the Bible a collection of honorable, but still primitive legends which are nevertheless pretty childish. No interpretation no matter how subtle can (for me) change this. ... For me the Jewish religion like all other religions is an incarnation of the most childish superstitions. And the Jewish people to whom I gladly belong and with whose mentality I have a deep affinity have no different quality for me than all other people. ... I cannot see anything 'chosen' about them.[171]

Death

On 17 April 1955, Einstein experienced internal bleeding caused by the rupture of an abdominal aortic aneurysm, which had previously been reinforced surgically by Rudolph Nissen in 1948.[172] He took the draft of a speech he was preparing for a television appearance commemorating the State of Israel's seventh anniversary with him to the hospital, but he did not live long enough to complete it.[173]

Einstein refused surgery, saying, "I want to go when I want. It is tasteless to prolong life artificially. I have done my share; it is time to go. I will do it elegantly."[174] He died in Princeton Hospital early the next morning at the age of 76, having continued to work until near the end.[175]

During the autopsy, the pathologist of Princeton Hospital, Thomas Stoltz Harvey, removed Einstein's brain for preservation without the permission of his family, in the hope that the neuroscience of the future would be able to discover what made Einstein so intelligent.[176] Einstein's remains were cremated and his ashes were scattered at an undisclosed location.[177][178]

In a memorial lecture delivered on 13 December 1965, at UNESCO headquarters, nuclear physicist J. Robert Oppenheimer summarized his impression of Einstein as a person: "He was almost wholly without sophistication and wholly without worldliness ... There was always with him a wonderful purity at once childlike and profoundly stubborn."[179]

Scientific career

Throughout his life, Einstein published hundreds of books and articles.[5][15] He published more than 300 scientific papers and 150 non-scientific ones.[11][15] On 5 December 2014, universities and archives announced the release of Einstein's papers, comprising more than 30,000 unique documents.[180][181] Einstein's intellectual achievements and originality have made the word "Einstein" synonymous with "genius".[16] In addition to the work he did by himself he also collaborated with other scientists on additional projects including the Bose–Einstein statistics, the Einstein refrigerator and others.[182][183]

1905 – Annus Mirabilis papers

The Annus Mirabilis papers are four articles pertaining to the photoelectric effect (which gave rise to quantum theory), Brownian motion, the special theory of relativity, and E = mc2 that Einstein published in the Annalen der Physik scientific journal in 1905. These four works contributed substantially to the foundation of modern physics and changed views on space, time, and matter. The four papers are:

Title (translated) Area of focus Received Published Significance
"On a Heuristic Viewpoint Concerning the Production and Transformation of Light"[184] Photoelectric effect 18 March 9 June Resolved an unsolved puzzle by suggesting that energy is exchanged only in discrete amounts (quanta).[185] This idea was pivotal to the early development of quantum theory.[186]
"On the Motion of Small Particles Suspended in a Stationary Liquid, as Required by the Molecular Kinetic Theory of Heat"[187] Brownian motion 11 May 18 July Explained empirical evidence for the atomic theory, supporting the application of statistical physics.
"On the Electrodynamics of Moving Bodies"[188] Special relativity 30 June 26 September Reconciled Maxwell's equations for electricity and magnetism with the laws of mechanics by introducing changes to mechanics, resulting from analysis based on empirical evidence that the speed of light is independent of the motion of the observer.[189] Discredited the concept of a "luminiferous ether".[190]
"Does the Inertia of a Body Depend Upon Its Energy Content?"[191] Matter–energy equivalence 27 September 21 November Equivalence of matter and energy, E = mc2 (and by implication, the ability of gravity to "bend" light), the existence of "rest energy", and the basis of nuclear energy.

Statistical mechanics

Thermodynamic fluctuations and statistical physics

Einstein's first paper[74][192] submitted in 1900 to Annalen der Physik was on capillary attraction. It was published in 1901 with the title "Folgerungen aus den Capillaritätserscheinungen", which translates as "Conclusions from the capillarity phenomena". Two papers he published in 1902–1903 (thermodynamics) attempted to interpret atomic phenomena from a statistical point of view. These papers were the foundation for the 1905 paper on Brownian motion, which showed that Brownian movement can be construed as firm evidence that molecules exist. His research in 1903 and 1904 was mainly concerned with the effect of finite atomic size on diffusion phenomena.[192]

Theory of critical opalescence

Einstein returned to the problem of thermodynamic fluctuations, giving a treatment of the density variations in a fluid at its critical point. Ordinarily the density fluctuations are controlled by the second derivative of the free energy with respect to the density. At the critical point, this derivative is zero, leading to large fluctuations. The effect of density fluctuations is that light of all wavelengths is scattered, making the fluid look milky white. Einstein relates this to Rayleigh scattering, which is what happens when the fluctuation size is much smaller than the wavelength, and which explains why the sky is blue.[193] Einstein quantitatively derived critical opalescence from a treatment of density fluctuations, and demonstrated how both the effect and Rayleigh scattering originate from the atomistic constitution of matter.

Special relativity

Einstein's "Zur Elektrodynamik bewegter Körper"[188] ("On the Electrodynamics of Moving Bodies") was received on 30 June 1905 and published 26 September of that same year. It reconciled conflicts between Maxwell's equations (the laws of electricity and magnetism) and the laws of Newtonian mechanics by introducing changes to the laws of mechanics.[194] Observationally, the effects of these changes are most apparent at high speeds (where objects are moving at speeds close to the speed of light). The theory developed in this paper later became known as Einstein's special theory of relativity. There is evidence from Einstein's writings that he collaborated with his first wife, Mileva Marić, on this work. The decision to publish only under his name seems to have been mutual, but the exact reason is unknown.[33]

This paper predicted that, when measured in the frame of a relatively moving observer, a clock carried by a moving body would appear to slow down, and the body itself would contract in its direction of motion. This paper also argued that the idea of a luminiferous aether—one of the leading theoretical entities in physics at the time—was superfluous.[note 4]

In his paper on mass–energy equivalence, Einstein produced E = mc2 as a consequence of his special relativity equations.[195] Einstein's 1905 work on relativity remained controversial for many years, but was accepted by leading physicists, starting with Max Planck.[note 5][196]

Einstein originally framed special relativity in terms of kinematics (the study of moving bodies). In 1908, Hermann Minkowski reinterpreted special relativity in geometric terms as a theory of spacetime. Einstein adopted Minkowski's formalism in his 1915 general theory of relativity.[197]

General relativity

General relativity and the equivalence principle

Black circle covering the sun, rays visible around it, in a dark sky.
Eddington's photograph of a solar eclipse

General relativity (GR) is a theory of gravitation that was developed by Einstein between 1907 and 1915. According to general relativity, the observed gravitational attraction between masses results from the warping of space and time by those masses. General relativity has developed into an essential tool in modern astrophysics. It provides the foundation for the current understanding of black holes, regions of space where gravitational attraction is so strong that not even light can escape.

As Einstein later said, the reason for the development of general relativity was that the preference of inertial motions within special relativity was unsatisfactory, while a theory which from the outset prefers no state of motion (even accelerated ones) should appear more satisfactory.[198] Consequently, in 1907 he published an article on acceleration under special relativity. In that article titled "On the Relativity Principle and the Conclusions Drawn from It", he argued that free fall is really inertial motion, and that for a free-falling observer the rules of special relativity must apply. This argument is called the equivalence principle. In the same article, Einstein also predicted the phenomena of gravitational time dilation, gravitational redshift and deflection of light.[199][200]

In 1911, Einstein published another article "On the Influence of Gravitation on the Propagation of Light" expanding on the 1907 article, in which he estimated the amount of deflection of light by massive bodies. Thus, the theoretical prediction of general relativity could for the first time be tested experimentally.[201]

Gravitational waves

In 1916, Einstein predicted gravitational waves,[202][203] ripples in the curvature of spacetime which propagate as waves, traveling outward from the source, transporting energy as gravitational radiation. The existence of gravitational waves is possible under general relativity due to its Lorentz invariance which brings the concept of a finite speed of propagation of the physical interactions of gravity with it. By contrast, gravitational waves cannot exist in the Newtonian theory of gravitation, which postulates that the physical interactions of gravity propagate at infinite speed.

The first, indirect, detection of gravitational waves came in the 1970s through observation of a pair of closely orbiting neutron stars, PSR B1913+16.[204] The explanation of the decay in their orbital period was that they were emitting gravitational waves.[204][205] Einstein's prediction was confirmed on 11 February 2016, when researchers at LIGO published the first observation of gravitational waves,[206] detected on Earth on 14 September 2015, nearly one hundred years after the prediction.[204][207][208][209][210]

Hole argument and Entwurf theory

While developing general relativity, Einstein became confused about the gauge invariance in the theory. He formulated an argument that led him to conclude that a general relativistic field theory is impossible. He gave up looking for fully generally covariant tensor equations and searched for equations that would be invariant under general linear transformations only.

In June 1913, the Entwurf ('draft') theory was the result of these investigations. As its name suggests, it was a sketch of a theory, less elegant and more difficult than general relativity, with the equations of motion supplemented by additional gauge fixing conditions. After more than two years of intensive work, Einstein realized that the hole argument was mistaken[211] and abandoned the theory in November 1915.

Physical cosmology

Einstein with Millikan and Georges Lemaître at the California Institute of Technology in January 1933.

In 1917, Einstein applied the general theory of relativity to the structure of the universe as a whole.[212] He discovered that the general field equations predicted a universe that was dynamic, either contracting or expanding. As observational evidence for a dynamic universe was not known at the time, Einstein introduced a new term, the cosmological constant, to the field equations, in order to allow the theory to predict a static universe. The modified field equations predicted a static universe of closed curvature, in accordance with Einstein's understanding of Mach's principle in these years. This model became known as the Einstein World or Einstein's static universe.[213][214]

Following the discovery of the recession of the nebulae by Edwin Hubble in 1929, Einstein abandoned his static model of the universe, and proposed two dynamic models of the cosmos, The Friedmann-Einstein universe of 1931[215][216] and the Einstein–de Sitter universe of 1932.[217][218] In each of these models, Einstein discarded the cosmological constant, claiming that it was "in any case theoretically unsatisfactory".[215][216][219]

In many Einstein biographies, it is claimed that Einstein referred to the cosmological constant in later years as his "biggest blunder". The astrophysicist Mario Livio has recently cast doubt on this claim, suggesting that it may be exaggerated.[220]

In late 2013, a team led by the Irish physicist Cormac O'Raifeartaigh discovered evidence that, shortly after learning of Hubble's observations of the recession of the nebulae, Einstein considered a steady-state model of the universe.[221][222] In a hitherto overlooked manuscript, apparently written in early 1931, Einstein explored a model of the expanding universe in which the density of matter remains constant due to a continuous creation of matter, a process he associated with the cosmological constant.[223][224] As he stated in the paper, "In what follows, I would like to draw attention to a solution to equation (1) that can account for Hubbel's [sic] facts, and in which the density is constant over time" ... "If one considers a physically bounded volume, particles of matter will be continually leaving it. For the density to remain constant, new particles of matter must be continually formed in the volume from space."

It thus appears that Einstein considered a steady-state model of the expanding universe many years before Hoyle, Bondi and Gold.[225][226] However, Einstein's steady-state model contained a fundamental flaw and he quickly abandoned the idea.[223][224][227]

Energy momentum pseudotensor

General relativity includes a dynamical spacetime, so it is difficult to see how to identify the conserved energy and momentum. Noether's theorem allows these quantities to be determined from a Lagrangian with translation invariance, but general covariance makes translation invariance into something of a gauge symmetry. The energy and momentum derived within general relativity by Noether's prescriptions do not make a real tensor for this reason.

Einstein argued that this is true for a fundamental reason: the gravitational field could be made to vanish by a choice of coordinates. He maintained that the non-covariant energy momentum pseudotensor was, in fact, the best description of the energy momentum distribution in a gravitational field. This approach has been echoed by Lev Landau and Evgeny Lifshitz, and others, and has become standard.

The use of non-covariant objects like pseudotensors was heavily criticized in 1917 by Erwin Schrödinger and others.

Wormholes

In 1935, Einstein collaborated with Nathan Rosen to produce a model of a wormhole, often called Einstein–Rosen bridges.[228][229] His motivation was to model elementary particles with charge as a solution of gravitational field equations, in line with the program outlined in the paper "Do Gravitational Fields play an Important Role in the Constitution of the Elementary Particles?". These solutions cut and pasted Schwarzschild black holes to make a bridge between two patches.[230]

If one end of a wormhole was positively charged, the other end would be negatively charged. These properties led Einstein to believe that pairs of particles and antiparticles could be described in this way.

Einstein–Cartan theory

Einstein, sitting at a table, looks up from the papers he is reading and into the camera.
Einstein at his office, University of Berlin, 1920

In order to incorporate spinning point particles into general relativity, the affine connection needed to be generalized to include an antisymmetric part, called the torsion. This modification was made by Einstein and Cartan in the 1920s.

Equations of motion

The theory of general relativity has a fundamental law—the Einstein field equations, which describe how space curves. The geodesic equation, which describes how particles move, may be derived from the Einstein field equations.

Since the equations of general relativity are non-linear, a lump of energy made out of pure gravitational fields, like a black hole, would move on a trajectory which is determined by the Einstein field equations themselves, not by a new law. So Einstein proposed that the path of a singular solution, like a black hole, would be determined to be a geodesic from general relativity itself.

This was established by Einstein, Infeld, and Hoffmann for pointlike objects without angular momentum, and by Roy Kerr for spinning objects.

Old quantum theory

Photons and energy quanta

The photoelectric effect. Incoming photons on the left strike a metal plate (bottom), and eject electrons, depicted as flying off to the right.

In a 1905 paper,[184] Einstein postulated that light itself consists of localized particles (quanta). Einstein's light quanta were nearly universally rejected by all physicists, including Max Planck and Niels Bohr. This idea only became universally accepted in 1919, with Robert Millikan's detailed experiments on the photoelectric effect, and with the measurement of Compton scattering.

Einstein concluded that each wave of frequency f is associated with a collection of photons with energy hf each, where h is Planck's constant. He does not say much more, because he is not sure how the particles are related to the wave. But he does suggest that this idea would explain certain experimental results, notably the photoelectric effect.[184]

Quantized atomic vibrations

In 1907, Einstein proposed a model of matter where each atom in a lattice structure is an independent harmonic oscillator. In the Einstein model, each atom oscillates independently—a series of equally spaced quantized states for each oscillator. Einstein was aware that getting the frequency of the actual oscillations would be difficult, but he nevertheless proposed this theory because it was a particularly clear demonstration that quantum mechanics could solve the specific heat problem in classical mechanics. Peter Debye refined this model.[231]

Adiabatic principle and action-angle variables

Throughout the 1910s, quantum mechanics expanded in scope to cover many different systems. After Ernest Rutherford discovered the nucleus and proposed that electrons orbit like planets, Niels Bohr was able to show that the same quantum mechanical postulates introduced by Planck and developed by Einstein would explain the discrete motion of electrons in atoms, and the periodic table of the elements.

Einstein contributed to these developments by linking them with the 1898 arguments Wilhelm Wien had made. Wien had shown that the hypothesis of adiabatic invariance of a thermal equilibrium state allows all the blackbody curves at different temperature to be derived from one another by a simple shifting process. Einstein noted in 1911 that the same adiabatic principle shows that the quantity which is quantized in any mechanical motion must be an adiabatic invariant. Arnold Sommerfeld identified this adiabatic invariant as the action variable of classical mechanics.

Bose–Einstein statistics

In 1924, Einstein received a description of a statistical model from Indian physicist Satyendra Nath Bose, based on a counting method that assumed that light could be understood as a gas of indistinguishable particles. Einstein noted that Bose's statistics applied to some atoms as well as to the proposed light particles, and submitted his translation of Bose's paper to the Zeitschrift für Physik. Einstein also published his own articles describing the model and its implications, among them the Bose–Einstein condensate phenomenon that some particulates should appear at very low temperatures.[232] It was not until 1995 that the first such condensate was produced experimentally by Eric Allin Cornell and Carl Wieman using ultra-cooling equipment built at the NISTJILA laboratory at the University of Colorado at Boulder.[233] Bose–Einstein statistics are now used to describe the behaviors of any assembly of bosons. Einstein's sketches for this project may be seen in the Einstein Archive in the library of the Leiden University.[182]

Wave–particle duality

Einstein during his visit to the United States

Although the patent office promoted Einstein to Technical Examiner Second Class in 1906, he had not given up on academia. In 1908, he became a Privatdozent at the University of Bern.[234] In "Über die Entwicklung unserer Anschauungen über das Wesen und die Konstitution der Strahlung" ("The Development of our Views on the Composition and Essence of Radiation"), on the quantization of light, and in an earlier 1909 paper, Einstein showed that Max Planck's energy quanta must have well-defined momenta and act in some respects as independent, point-like particles. This paper introduced the photon concept (although the name photon was introduced later by Gilbert N. Lewis in 1926) and inspired the notion of wave–particle duality in quantum mechanics. Einstein saw this wave–particle duality in radiation as concrete evidence for his conviction that physics needed a new, unified foundation.

Zero-point energy

In a series of works completed from 1911 to 1913, Planck reformulated his 1900 quantum theory and introduced the idea of zero-point energy in his "second quantum theory". Soon, this idea attracted the attention of Einstein and his assistant Otto Stern. Assuming the energy of rotating diatomic molecules contains zero-point energy, they then compared the theoretical specific heat of hydrogen gas with the experimental data. The numbers matched nicely. However, after publishing the findings, they promptly withdrew their support, because they no longer had confidence in the correctness of the idea of zero-point energy.[235]

Stimulated emission

In 1917, at the height of his work on relativity, Einstein published an article in Physikalische Zeitschrift that proposed the possibility of stimulated emission, the physical process that makes possible the maser and the laser.[236] This article showed that the statistics of absorption and emission of light would only be consistent with Planck's distribution law if the emission of light into a mode with n photons would be enhanced statistically compared to the emission of light into an empty mode. This paper was enormously influential in the later development of quantum mechanics, because it was the first paper to show that the statistics of atomic transitions had simple laws.

Matter waves

Einstein discovered Louis de Broglie's work and supported his ideas, which were received skeptically at first. In another major paper from this era, Einstein gave a wave equation for de Broglie waves, which Einstein suggested was the Hamilton–Jacobi equation of mechanics. This paper would inspire Schrödinger's work of 1926.

Quantum mechanics

Einstein's objections to quantum mechanics

Newspaper headline on 4 May 1935

Einstein played a major role in developing quantum theory, beginning with his 1905 paper on the photoelectric effect. However, he became displeased with modern quantum mechanics as it had evolved after 1925, despite its acceptance by other physicists. He was skeptical that the randomness of quantum mechanics was fundamental rather than the result of determinism, stating that God "is not playing at dice".[237] Until the end of his life, he continued to maintain that quantum mechanics was incomplete.[238]

Bohr versus Einstein

Two men sitting, looking relaxed. A dark-haired Bohr is talking while Einstein looks skeptical.
Einstein and Niels Bohr, 1925

The Bohr–Einstein debates were a series of public disputes about quantum mechanics between Einstein and Niels Bohr, who were two of its founders. Their debates are remembered because of their importance to the philosophy of science.[239][240][241] Their debates would influence later interpretations of quantum mechanics.

Einstein–Podolsky–Rosen paradox

In 1935, Einstein returned to quantum mechanics, in particular to the question of its completeness, in the "EPR paper".[241] In a thought experiment, he considered two particles which had interacted such that their properties were strongly correlated. No matter how far the two particles were separated, a precise position measurement on one particle would result in equally precise knowledge of the position of the other particle; likewise a precise momentum measurement of one particle would result in equally precise knowledge of the momentum of the other particle, without needing to disturb the other particle in any way.[242]

Given Einstein's concept of local realism, there were two possibilities: (1) either the other particle had these properties already determined, or (2) the process of measuring the first particle instantaneously affected the reality of the position and momentum of the second particle. Einstein rejected this second possibility (popularly called "spooky action at a distance").[242]

Einstein's belief in local realism led him to assert that, while the correctness of quantum mechanics was not in question, it must be incomplete. But as a physical principle, local realism was shown to be incorrect when the Aspect experiment of 1982 confirmed Bell's theorem, which J. S. Bell had delineated in 1964. The results of these and subsequent experiments demonstrate that quantum physics cannot be represented by any version of the picture of physics in which "particles are regarded as unconnected independent classical-like entities, each one being unable to communicate with the other after they have separated."[243]

Although Einstein was wrong about local realism, his clear prediction of the unusual properties of its opposite, entangled quantum states, has resulted in the EPR paper becoming among the top ten papers published in Physical Review. It is considered a centerpiece of the development of quantum information theory.[244]

Unified field theory

Following his research on general relativity, Einstein entered into a series of attempts to generalize his geometric theory of gravitation to include electromagnetism as another aspect of a single entity. In 1950, he described his "unified field theory" in a Scientific American article titled "On the Generalized Theory of Gravitation".[245] Although he continued to be lauded for his work, Einstein became increasingly isolated in his research, and his efforts were ultimately unsuccessful. In his pursuit of a unification of the fundamental forces, Einstein ignored some mainstream developments in physics, most notably the strong and weak nuclear forces, which were not well understood until many years after his death. Mainstream physics, in turn, largely ignored Einstein's approaches to unification. Einstein's dream of unifying other laws of physics with gravity motivates modern quests for a theory of everything and in particular string theory, where geometrical fields emerge in a unified quantum-mechanical setting.

Other investigations

Einstein conducted other investigations that were unsuccessful and abandoned. These pertain to force, superconductivity, and other research.

Collaboration with other scientists

The 1927 Solvay Conference in Brussels, a gathering of the world's top physicists. Einstein is in the center.

In addition to longtime collaborators Leopold Infeld, Nathan Rosen, Peter Bergmann and others, Einstein also had some one-shot collaborations with various scientists.

Einstein–de Haas experiment

Einstein and De Haas demonstrated that magnetization is due to the motion of electrons, nowadays known to be the spin. In order to show this, they reversed the magnetization in an iron bar suspended on a torsion pendulum. They confirmed that this leads the bar to rotate, because the electron's angular momentum changes as the magnetization changes. This experiment needed to be sensitive because the angular momentum associated with electrons is small, but it definitively established that electron motion of some kind is responsible for magnetization.

Schrödinger gas model

Einstein suggested to Erwin Schrödinger that he might be able to reproduce the statistics of a Bose–Einstein gas by considering a box. Then to each possible quantum motion of a particle in a box associate an independent harmonic oscillator. Quantizing these oscillators, each level will have an integer occupation number, which will be the number of particles in it.[citation needed]

This formulation is a form of second quantization, but it predates modern quantum mechanics. Erwin Schrödinger applied this to derive the thermodynamic properties of a semiclassical ideal gas. Schrödinger urged Einstein to add his name as co-author, although Einstein declined the invitation.[246]

Einstein refrigerator

In 1926, Einstein and his former student Leó Szilárd co-invented (and in 1930, patented) the Einstein refrigerator. This absorption refrigerator was then revolutionary for having no moving parts and using only heat as an input.[247] On 11 November 1930, U.S. Patent 1,781,541 was awarded to Einstein and Leó Szilárd for the refrigerator. Their invention was not immediately put into commercial production, and the most promising of their patents were acquired by the Swedish company Electrolux.[note 6]

Non-scientific legacy

Einstein (second from left) at a picnic in Oslo during the visit to Denmark and Norway in 1920. Heinrich Goldschmidt (left), Ole Colbjørnsen (seated in center) and Jørgen Vogt behind Ilse Einstein.
Credit: University of Oslo

While traveling, Einstein wrote daily to his wife Elsa and adopted stepdaughters Margot and Ilse. The letters were included in the papers bequeathed to the Hebrew University of Jerusalem. Margot Einstein permitted the personal letters to be made available to the public, but requested that it not be done until twenty years after her death (she died in 1986[249]). Einstein had expressed his interest in the plumbing profession and was made an honorary member of the Plumbers and Steamfitters Union.[250][251] Barbara Wolff, of the Hebrew University's Albert Einstein Archives, told the BBC that there are about 3,500 pages of private correspondence written between 1912 and 1955.[252]

Corbis, successor to The Roger Richman Agency, licenses the use of his name and associated imagery, as agent for the university.[253]

The Einstein rights were litigated in 2015 in a federal district court in California. Although the court initially held that the Einstein rights had expired,[254] that ruling was immediately appealed, and the decision was later vacated in its entirety. The court's initial decision no longer has any legal impact or effect of any kind. The underlying claims between the parties in that lawsuit were ultimately settled. The Einstein rights are enforceable, and the Hebrew University of Jerusalem is the exclusive representative of those rights.[255]

In popular culture

In the period before World War II, The New Yorker published a vignette in their "The Talk of the Town" feature saying that Einstein was so well known in America that he would be stopped on the street by people wanting him to explain "that theory". He finally figured out a way to handle the incessant inquiries. He told his inquirers "Pardon me, sorry! Always I am mistaken for Professor Einstein."[256]

Einstein has been the subject of or inspiration for many novels, films, plays, and works of music.[257] He is a favorite model for depictions of absent-minded professors; his expressive face and distinctive hairstyle have been widely copied and exaggerated. Time magazine's Frederic Golden wrote that Einstein was "a cartoonist's dream come true".[258]

Many popular quotations are often misattributed to him.[259][260]

Awards and honors

Einstein received numerous awards and honors, and in 1922, he was awarded the 1921 Nobel Prize in Physics "for his services to Theoretical Physics, and especially for his discovery of the law of the photoelectric effect". None of the nominations in 1921 met the criteria set by Alfred Nobel, so the 1921 prize was carried forward and awarded to Einstein in 1922.[10]

Publications

Scientific

Others

See also

References

Footnotes

  1. ^ a b In the German Empire, citizens were exclusively subjects of one of the 27 Bundesstaaten.
  2. ^ Einstein's scores on his matriculation certificate: German 5; French 3; Italian 5; History 6; Geography 4; Algebra 6; Geometry 6; Descriptive Geometry 6; Physics 6; Chemistry 5; Natural History 5; Art and Technical Drawing 4.
    The scores are 6 = very good, 5 = good, 4 = sufficient, 3 = insufficient, 2 = poor, 1 = very poor.
  3. ^ "Their leaders in Germany have not driven out her cut-throats and her blackguards. She has chosen the cream of her culture and has suppressed it. She has even turned upon her most glorious citizen, Albert Einstein, who is the supreme example of the selfless intellectual...The man, who, beyond all others, approximates a citizen of the world, is without a home. How proud we must be to offer him temporary shelter."
  4. ^ In his paper, Einstein wrote: "The introduction of a 'luminiferous æther' will be proved to be superfluous in so far, as according to the conceptions which will be developed, we shall introduce neither a 'space absolutely at rest' endowed with special properties, nor shall we associate a velocity-vector with a point in which electro-magnetic processes take place."
  5. ^ For a discussion of the reception of relativity theory around the world, and the different controversies it encountered, see the articles in Glick (1987).
  6. ^ In September 2008 it was reported that Malcolm McCulloch of Oxford University was heading a three-year project to develop more robust appliances that could be used in locales lacking electricity, and that his team had completed a prototype Einstein refrigerator. He was quoted as saying that improving the design and changing the types of gases used might allow the design's efficiency to be quadrupled.[248]

Citations

  1. ^ Heilbron, John L., ed. (2003). The Oxford Companion to the History of Modern Science. Oxford University Press. p. 233. ISBN 978-0-19-974376-6.
  2. ^ Pais (1982), p. 301.
  3. ^ a b c d e Whittaker, E. (1 November 1955). "Albert Einstein. 1879–1955". Biographical Memoirs of Fellows of the Royal Society. 1: 37–67. doi:10.1098/rsbm.1955.0005. JSTOR 769242.
  4. ^ Wells, John (3 April 2008). Longman Pronunciation Dictionary (3rd ed.). Pearson Longman. ISBN 978-1-4058-8118-0.
  5. ^ a b c d "Albert Einstein – Biography". Nobel Foundation. Archived from the original on 6 March 2007. Retrieved 7 March 2007.
  6. ^ Yang, Fujia; Hamilton, Joseph H. (2010). Modern Atomic and Nuclear Physics. World Scientific. p. 274. ISBN 978-981-4277-16-7.
  7. ^ Howard, Don A., ed. (2014) [First published 11 February 2004]. "Einstein's Philosophy of Science". Stanford Encyclopedia of Philosophy. The Metaphysics Research Lab, Center for the Study of Language and Information (CSLI), Stanford University. Retrieved 4 February 2015.
  8. ^ Howard, Don A. (December 2005). "Albert Einstein as a Philosopher of Science" (PDF). Physics Today. 58 (12): 34–40. Bibcode:2005PhT....58l..34H. doi:10.1063/1.2169442. Retrieved 8 March 2015 – via University of Notre Dame, Notre Dame, IN, author's personal webpage.
  9. ^ Bodanis, David (2000). E = mc2: A Biography of the World's Most Famous Equation. New York: Walker.
  10. ^ a b c "The Nobel Prize in Physics 1921". Nobel Prize. Retrieved 11 July 2016.
  11. ^ a b c "Scientific Background on the Nobel Prize in Physics 2011. The accelerating universe" (PDF). Nobel Media AB. p. 2. Archived from the original (PDF) on 16 May 2012. Retrieved 4 January 2015.
  12. ^ Overbye, Dennis (24 November 2015). "A Century Ago, Einstein's Theory of Relativity Changed Everything". The New York Times. Retrieved 24 November 2015.
  13. ^ Levenson, Thomas (9 June 2017). "The Scientist and the Fascist". The Atlantic.
  14. ^ Paul S. Boyer; Melvyn Dubofsky (2001). The Oxford Companion to United States History. Oxford University Press. p. 218. ISBN 978-0-19-508209-8.
  15. ^ a b c Paul Arthur Schilpp, ed. (1951). Albert Einstein: Philosopher-Scientist. II. New York: Harper and Brothers Publishers (Harper Torchbook edition). pp. 730–746.. His non-scientific works include: About Zionism: Speeches and Lectures by Professor Albert Einstein (1930), "Why War?" (1933, co-authored by Sigmund Freud), The World As I See It (1934), Out of My Later Years (1950), and a book on science for the general reader, The Evolution of Physics (1938, co-authored by Leopold Infeld).
  16. ^ a b "Result of WordNet Search for Einstein". 3.1. The Trustees of Princeton University. Retrieved 4 January 2015.
  17. ^ Wigner, Eugene Paul; Szanton, Andrew (2013). The Recollections of Eugene P. Wigner (illustrated ed.). Springer. p. 167. ISBN 978-1-4899-6313-0. Search quote
  18. ^ Stachel (2002), pp. 59–61.
  19. ^ Barry R. Parker (2003). Einstein: The Passions of a Scientist, Prometheus Books, p. 31
  20. ^ Fölsing (1997), pp. 30–31.
  21. ^ Stachel et al. (2008), vol. 1 (1987), doc. 5.
  22. ^ Mehra, Jagdish (2001). "Albert Einstein's "First Paper"". Golden Age Of Theoretical Physics, The (Boxed Set Of 2 Vols). World Scientific. ISBN 978-981-4492-85-0.
  23. ^ Bloom, Howard (2012). The God Problem: How a Godless Cosmos Creates (illustrated ed.). Prometheus Books. p. 294. ISBN 978-1-61614-552-1. Extract of page 294
  24. ^ The Three-body Problem from Pythagoras to Hawking, Mauri Valtonen, Joanna Anosova, Konstantin Kholshevnikov, Aleksandr Mylläri, Victor Orlov, Kiyotaka Tanikawa, (Springer 2016), p. 43, Simon and Schuster, 2008
  25. ^ a b c Isaacson (2007), p. 17.
  26. ^ Isaacson (2007), p. 16.
  27. ^ Calaprice & Lipscombe (2005), p. 8.
  28. ^ Stachel et al. (2008), vol. 1 (1987), p. 11.
  29. ^ Fölsing (1997), pp. 36–37.
  30. ^ a b Highfield & Carter (1993), pp. 21, 31, 56–57.
  31. ^ Fölsing (1997), p. 40.
  32. ^ Stachel et al. (2008), vol. 1 (1987), docs. 21–27.
  33. ^ a b c d Gagnon, Pauline (19 December 2016). "The Forgotten Life of Einstein's First Wife". Scientific American Blog Network. Retrieved 17 October 2020.
  34. ^ Stachel et al. (2008), vol. 1 (1987), doc. 67.
  35. ^ Troemel-Ploetz, D. (1990). "Mileva Einstein-Marić: The Woman Who Did Einstein's Mathematics". Women's Studies International Forum. 13 (5): 415–432. doi:10.1016/0277-5395(90)90094-e.
  36. ^ Walker, Evan Harris (February 1989). "Did Einstein Espouse his Spouse's Ideas?" (PDF). Physics Today. 42 (2): 9–13. Bibcode:1989PhT....42b...9W. doi:10.1063/1.2810898. Archived from the original (PDF) on 19 January 2012. Retrieved 19 October 2014.
  37. ^ Pais (1994), pp. 1–29.
  38. ^ Holton, G., Einstein, History, and Other Passions, Harvard University Press, 1996, pp. 177–193.
  39. ^ Stachel (2002), pp. 49–56.
  40. ^ Martinez, A. A., "Handling evidence in history: the case of Einstein's wife", School Science Review, 86 (316), March 2005, pp. 49–56. PDF Archived 11 August 2011 at the Wayback Machine
  41. ^ J. Renn & R. Schulmann, Albert Einstein/Mileva Marić: The Love Letters, 1992, pp. 73–74, 78.
  42. ^ Calaprice & Lipscombe (2005), pp. 22–23.
  43. ^ Stachel (1966).
  44. ^ a b Calaprice & Lipscombe (2005), p. 50.
  45. ^ Smith, Dinitia (6 November 1996). "Dark Side of Einstein Emerges in His Letters" – via NYTimes.com.
  46. ^ Stachel (2002), p. 50.
  47. ^ Robinson, Andrew (2015). Einstein: A Hundred Years of Relativity. Princeton University Press. pp. 143–145. ISBN 978-0-691-16989-7.
  48. ^ Neffe (2007), p. 203.
  49. ^ Wüthrich, Urs (11 April 2015). "Die Liebesbriefe des untreuen Einstein" [The love letters of the unfaithful Einstein]. BZ Berner Zeitung (in German). Bern, Switzerland. Retrieved 11 April 2015. Ich denke in innigster Liebe an Dich in jeder freien Minute und bin so unglücklich, wie nur ein Mensch es sein kann.
  50. ^ Isaacson (2007), p. [page needed].
  51. ^ Calaprice, Kennefick & Schulmann (2015), p. 62.
  52. ^ Highfield & Carter (1993), p. 216.
  53. ^ Highfield, Roger (10 July 2006). "Einstein's theory of fidelity" – via www.telegraph.co.uk.
  54. ^ Overbye, Dennis (17 April 2017). "'Genius' Unravels the Mysteries of Einstein's Universe" – via NYTimes.com.
  55. ^ NatGeo TV. "GENIUS ALBERT EINSTEIN'S THEORY OF INFIDELITY". www.natgeotv.com.
  56. ^ "Getting up close and personal with Einstein". The Jerusalem Post | JPost.com.
  57. ^ "Einstein secret love affairs out!". Hindustan Times. 13 July 2006.
  58. ^ "New letters shed light on Einstein's love life". msnbc.com. 11 July 2006.
  59. ^ "Albert Einstein may have had the IQ, but he needed to work on his EQ" – via The Economic Times.
  60. ^ Pruitt, Sarah. "Einstein Had No Clue His Lover Was a Suspected Russian Spy". HISTORY.
  61. ^ Pogrebin, Robin (1 June 1998). "Love Letters By Einstein At Auction" – via NYTimes.com.
  62. ^ "Einstein's letters show affair with spy". The Independent. 2 June 1998.
  63. ^ Calaprice, Kennefick & Schulmann (2015), pp. 65–.
  64. ^ WALSH, ALISON (25 April 2017). "10 Things You (Probably) Didn't Know About Einstein". National Geographic. Retrieved 20 November 2020.
  65. ^ Fölsing (1997), p. 82.
  66. ^ J. J. O'Connor; E. F. Robertson (May 2010). "Grossmann biography". MacTutor. School of Mathematics and Statistics, University of St Andrews, Scotland. Retrieved 27 March 2015.
  67. ^ Isaacson (2007), p. 63.
  68. ^ "Einstein at the patent office" (official website). Berne, Switzerland: Swiss Federal Institute of Intellectual Property, IGE/IPI. 6 February 2014. Retrieved 9 September 2016.
  69. ^ a b "FAQ about Einstein and the Institute" (official website). Berne, Switzerland: Swiss Federal Institute of Intellectual Property, IGE/IPI. 27 May 2014. Retrieved 27 March 2015.
  70. ^ Galison (2000), p. 370.
  71. ^ Galison (2000), p. 377.
  72. ^ Highfield & Carter (1993), pp. 96–98.
  73. ^ Isaacson (2007), pp. 79–84.
  74. ^ a b Einstein (1901).
  75. ^ Galison, Peter (2003). Einstein's Clocks, Poincaré's Maps: Empires of Time. New York: W. W. Norton. ISBN 978-0-393-02001-4.[page needed]
  76. ^ a b Einstein (1905b), "Meinem Freunde Herr Dr. Marcel Grossmann gewidmet (Dedicated to my friend, Dr. Marcel Grossmann)".
  77. ^ Einstein (1926b), chap. "A New Determination of Molecular Dimensions".
  78. ^ "Associate Professor at the University of Zurich und professor in Prague (1909–1912)" (digital library). Einstein Online (in German and English). Bern, Switzerland: ETH-Bibliothek Zurich, ETH Zürich, www.ethz.ch. 2014. Retrieved 17 August 2014.
  79. ^ Isaacson (2007), p. 164.
  80. ^ von Hirschhausen, Ulrike (2007). "Von imperialer Inklusion zur nationalen Exklusion:Staatsbürgerschaft in Österreich- Ungarn 1867–1923" (PDF) (WZB Discussion Paper). ZKD – Veröffentlichungsreihe der Forschungsgruppe, "Zivilgesellschaft, Citizenship und politische Mobilisierung in Europa" Schwerpunkt Zivilgesellschaft, Konflikte und Demokratie, Wissenschaftszentrum Berlin für Sozialforschung. Berlin, Germany: WZB Social Science Research Center Berlin. p. 8. ISSN 1860-4315. Retrieved 4 August 2015. Eine weitere Diskontinuität bestand viertens darin, dass die Bestimmungen der österreichischen Staatsbürgerschaft, die in den ersten Dritteln des Jahrhunderts auch auf Ungarn angewandt worden waren, seit 1867 nur noch für die cisleithanische Reichshälfte galten. Ungarn entwickelte hingegen jetzt eine eige-ne Staatsbürgerschaft.
  81. ^ "Professor at the ETH Zurich (1912–1914)" (digital library). Einstein Online (in German and English). Zurich, Switzerland: ETH-Bibliothek Zurich, ETH Zürich, www.ethz.ch. 2014. Retrieved 17 August 2014.
  82. ^ "A New Physics, Based on Einstein". The New York Times. 25 November 1919. p. 17.
  83. ^ Stachel (2002), p. 534.
  84. ^ Weinstein (2015), pp. 18–19.
  85. ^ "Director in the attic". Max-Planck-Gesellschaft, München. Retrieved 9 July 2017.
  86. ^ Calaprice & Lipscombe (2005), "Timeline", p. xix.
  87. ^ Andrzej, Stasiak (2003). "Myths in science". EMBO Reports. 4 (3): 236. doi:10.1038/sj.embor.embor779. PMC 1315907.
  88. ^ "Albert Einstein (1879–1955)". Royal Netherlands Academy of Arts and Sciences. Retrieved 21 July 2015.
  89. ^ Hoffmann (1972), pp. 145–148.
  90. ^ Fölsing (1997), pp. 499–508.
  91. ^ "As Einstein Sees American", Einstein's World, a 1931 reprint with minor changes, of his 1921 essay.
  92. ^ Holton (1984), p. 20.
  93. ^ Isaacson (2007), pp. 307–308.
  94. ^ Flood, Alison (12 June 2018). "Einstein's travel diaries reveal 'shocking' xenophobia". The Guardian. Retrieved 13 June 2018.
  95. ^ Katz, Brigit. "Einstein's Travel Diaries Reveal His Deeply Troubling Views on Race". Smithsonian Magazine. Retrieved 3 January 2021.
  96. ^ The Nobel Prize in Physics 1921: Albert Einstein. Banquet Speech by R. Nadolny (in German). Retrieved 9 December 2015 via Nobelprize.org
  97. ^ Isaacson (2007), p. 308.
  98. ^ Montes-Santiago, J. (16 July 2017). "[The meeting of Einstein with Cajal (Madrid, 1923): a lost tide of fortune]". Revista de Neurología. 43 (2): 113–117. ISSN 0210-0010. PMID 16838259.
  99. ^ Grandjean, Martin (2018). Les réseaux de la coopération intellectuelle. La Société des Nations comme actrice des échanges scientifiques et culturels dans l'entre-deux-guerres [The Networks of Intellectual Cooperation. The League of Nations as an Actor of the Scientific and Cultural Exchanges in the Inter-War Period] (in French). Lausanne: Université de Lausanne. pp. 296–302
  100. ^ Grandjean, Martin (2017). "Analisi e visualizzazioni delle reti in storia. L'esempio della cooperazione intellettuale della Società delle Nazioni". Memoria e Ricerca (2): 371–393. doi:10.14647/87204. See also: French version (PDF) and English summary.
  101. ^ Shine, Cormac (2018). "Papal Diplomacy by Proxy? Catholic Internationalism at the League of Nations' International Committee on Intellectual Cooperation". The Journal of Ecclesiastical History. 69 (4): 785–805. doi:10.1017/S0022046917002731.
  102. ^ Isaacson (2007), p. 368.
  103. ^ a b c Isaacson (2007), p. 370.
  104. ^ Isaacson (2007), p. 373.
  105. ^ a b Isaacson (2007), p. 374.
  106. ^ Chaplin (1964), p. 320.
  107. ^ Chaplin (1964), p. 322.
  108. ^ Fölsing (1997), p. 659.
  109. ^ Isaacson (2007), p. 404.
  110. ^ a b c d e Isaacson (2007), pp. 407–410.
  111. ^ Richard Kroehling (July 1991). "Albert Einstein: How I See the World". American Masters. PBS. Retrieved 29 May 2018.
  112. ^ Holton (1984).
  113. ^ a b Fred Jerome; Rodger Taylor (2006). Einstein on Race and Racism. Rutgers University Press. p. 10. ISBN 978-0-8135-3952-2.
  114. ^ Einstein (1954), p. 197.
  115. ^ Isaacson (2007), p. 422.
  116. ^ "Professor Einstein with Commander Locker-Lampson", ScienceMuseum.org, UK
  117. ^ Isaacson (2007), pp. 419–420.
  118. ^ a b Gilbert, Martin. Churchill and the Jews, Henry Holt and Company, N.Y. (2007) pp. 101, 176
  119. ^ Reisman, Arnold (20 November 2006). "What a Freshly Discovered Einstein Letter Says About Turkey Today". History News Network, George Mason University.
  120. ^ a b c d e Clark (1971).
  121. ^ "Denunciation of German Policy is a Stirring Event", Associated Press, 27 July 1933
  122. ^ "Stateless Jews: The Exiles from Germany, Nationality Plan", The Guardian (UK) 27 July 1933
  123. ^ Fölsing (1997), pp. 649, 678.
  124. ^ a b Arntzenius, Linda G. (2011). Institute for Advanced Study. Arcadia Publishing. p. 19. ISBN 978-0-7385-7409-7.
  125. ^ "Oxford Jewish Personalities". Oxford Chabad Society. Retrieved 7 March 2015.
  126. ^ "How Einstein fled from the Nazis to an Oxford college". The Oxford Times. 2012. Retrieved 7 March 2015.
  127. ^ Fölsing (1997), pp. 686–687.
  128. ^ "In Brief". Institute for Advanced Study. Archived from the original on 29 March 2010. Retrieved 4 March 2010.
  129. ^ Isaacson (2007), p. 630.
  130. ^ Gosling, F. G. (2010). "The Manhattan Project: Making the Atomic Bomb". U.S. Department of Energy, History Division. p. vii. Retrieved 7 June 2015.
  131. ^ Lanouette, William; Silard, Bela (1992). Genius in the Shadows: A Biography of Leo Szilárd: The Man Behind The Bomb. New York: Charles Scribner's Sons. pp. 198–200. ISBN 978-0-684-19011-2.
  132. ^ Diehl, Sarah J.; Moltz, James Clay (2008). Nuclear Weapons and Nonproliferation: A Reference Handbook. ABC-CLIO. p. 218. ISBN 978-1-59884-071-1. Retrieved 7 June 2015.
  133. ^ Hewlett, Richard G.; Anderson, Oscar E. (1962). The New World, 1939–1946 (PDF). University Park: Pennsylvania State University Press. pp. 15–16. ISBN 978-0-520-07186-5. OCLC 637004643. Retrieved 7 June 2015.
  134. ^ Einstein, Albert (1952). "On My Participation in the Atom Bomb Project". Archived from the original on 28 August 2015. Retrieved 7 June 2015 – via atomicarchive.org.
  135. ^ Clark (1971), p. [page needed].
  136. ^ Isaacson (2007), p. 432.
  137. ^ Calaprice (2005), pp. 148–149.
  138. ^ Robeson (2002), p. 565.
  139. ^ a b "Albert Einstein, Civil Rights activist", Harvard Gazette, 12 April 2007
  140. ^ Jerome, Fred (December 2004). "Einstein, Race, and the Myth of the Cultural Icon". Isis. 95 (4): 627–639. Bibcode:2004Isis...95..627J. doi:10.1086/430653. JSTOR 10.1086/430653. PMID 16011298. S2CID 24738716.
  141. ^ Dennis Overbye (25 January 2005). "Brace Yourself! Here Comes Einstein's Year". The New York Times. Hebrew University ... which he helped found
  142. ^ Isaacson (2007), p. 290.
  143. ^ Rowe & Schulmann (2007), p. 161.
  144. ^ Rowe & Schulmann (2007), p. 158.
  145. ^ "ISRAEL: Einstein Declines". Time. 1 December 1952. Retrieved 31 March 2010.
  146. ^ Rosenkranz, Ze'ev (6 November 2002). The Einstein Scrapbook. Baltimore, Maryland: Johns Hopkins University Press. p. 103. ISBN 978-0-8018-7203-7.
  147. ^ a b Isaacson (2007), p. 522.
  148. ^ Duchen, Jessica (28 January 2011). "The relative beauty of the violin". The Independent.
  149. ^ "Einstein and his love of music" (PDF). Physics World. January 2005. Archived from the original (PDF) on 28 August 2015.
  150. ^ a b c d Peter Galison; Gerald James Holton; Silvan S. Schweber (2008). Einstein for the 21st Century: His Legacy in Science, Art, and Modern Culture. Princeton University Press. pp. 161–164. ISBN 978-0-691-13520-5.
  151. ^ Article "Alfred Einstein", in The New Grove Dictionary of Music and Musicians, ed. Stanley Sadie. 20 vol. London, Macmillan Publishers Ltd., 1980. ISBN 1-56159-174-2
  152. ^ The Concise Edition of Baker's Biographical Dictionary of Musicians, 8th ed. Revised by Nicolas Slonimsky. New York, Schirmer Books, 1993. ISBN 0-02-872416-X
  153. ^ Cariaga, Daniel, "Not Taking It with You: A Tale of Two Estates", Los Angeles Times, 22 December 1985. Retrieved April 2012.
  154. ^ "Relaxed Einstein signs for a fellow violinist before sailing to Germany for the last time". RR Auction. 2010.
  155. ^ Rowe & Schulmann (2007), p. 83.
  156. ^ Einstein (1949).
  157. ^ Rowe, David E.; Schulmann, Robert (8 June 2007a). David A., Walsh (ed.). "What Were Einstein's Politics?". History News Network. Retrieved 29 July 2012.
  158. ^ Rowe & Schulmann (2013), pp. 412, 413.
  159. ^ Isaacson (2007), pp. 487, 494, 550.
  160. ^ Waldrop, Mitch (19 April 2017). "Why the FBI Kept a 1,400-Page File on Einstein". National Geographic.
  161. ^ "Einstein on Gandhi (Einstein's letter to Gandhi – Courtesy:Saraswati Albano-Müller & Notes by Einstein on Gandhi – Source: The Hebrew University of Jerusalem )". Gandhiserve.org. 18 October 1931. Archived from the original on 17 January 2012. Retrieved 24 January 2012.
  162. ^ Hitchens, Christopher, ed. (2007). "Selected Writings on Religion: Albert Einstein". The Portable Atheist: Essential Readings for the Nonbeliever. Da Capo Press. p. 155. ISBN 978-0-306-81608-6.
  163. ^ Isaacson (2008), p. 325.
  164. ^ a b Calaprice (2000), p. 218.
  165. ^ Isaacson (2008), p. 390.
  166. ^ Calaprice (2010), p. 340.
  167. ^ Letter to M. Berkowitz, 25 October 1950. Einstein Archive 59–215.
  168. ^ Isaacson (2008), p. 461.
  169. ^ Dowbiggin, Ian (2003). A Merciful End. New York: Oxford University Press, p. 41.
  170. ^ Einstein (1995), p. 62.
  171. ^ Dvorsky, George (23 October 2012). "Einstein's 'I don't believe in God' letter has sold on eBay..." io9.com.
  172. ^ "The Case of the Scientist with a Pulsating Mass". Medscape. 14 June 2002. Retrieved 11 June 2007.
  173. ^ Albert Einstein Archives (April 1955). "Draft of projected Telecast Israel Independence Day, April 1955 (last statement ever written)". Einstein Archives Online. Archived from the original on 13 March 2007. Retrieved 14 March 2007.
  174. ^ Cohen, J. R.; Graver, L. M. (November 1995). "The ruptured abdominal aortic aneurysm of Albert Einstein". Surgery, Gynecology & Obstetrics. 170 (5): 455–458. PMID 2183375.
  175. ^ Cosgrove, Ben (14 March 2014). "The Day Albert Einstein Died: A Photographer's Story". Time. Retrieved 24 April 2018.
  176. ^ "The Long, Strange Journey of Einstein's Brain". NPR. Retrieved 3 October 2007.
  177. ^ O'Connor, J. J.; Robertson, E.F. (1997). "Albert Einstein". The MacTutor History of Mathematics archive. School of Mathematics and Statistics, University of St. Andrews.
  178. ^ Late City, ed. (18 April 1955). Written at Princeton, NJ. "Dr. Albert Einstein Dies in Sleep at 76; World Mourns Loss of Great Scientist, Rupture of Aorta Causes Death, Body Cremated, Memorial Here Set". The New York Times. CIV (35, 514). New York (published 19 April 1955). p. 1. ISSN 0362-4331.
  179. ^ Oppenheimer, J. Robert (March 1979). "Oppenheimer on Einstein". Bulletin of the Atomic Scientists. 35 (3): 38. Bibcode:1979BuAtS..35c..36O. doi:10.1080/00963402.1979.11458597.
  180. ^ Stachel et al. (2008).
  181. ^ Overbye, Dennis (4 December 2014). "Thousands of Einstein Documents Are Now a Click Away". The New York Times. Retrieved 4 January 2015.
  182. ^ a b "Einstein archive at the Instituut-Lorentz". Instituut-Lorentz. 2005. Retrieved on 21 November 2005.
  183. ^ Pietrow, Alexander G.M. (2019). "Investigations into the origin of Einstein's Sink". Studium. 11 (4): 260–268. arXiv:1905.09022. Bibcode:2019Studi..11E...1P. doi:10.18352/studium.10183. S2CID 162168640.
  184. ^ a b c Einstein (1905a).
  185. ^ Das, Ashok (2003). Lectures on quantum mechanics. Hindustan Book Agency. p. 59. ISBN 978-81-85931-41-8.
  186. ^ Spielberg, Nathan; Anderson, Bryon D. (1995). Seven ideas that shook the universe (2nd ed.). John Wiley & Sons. p. 263. ISBN 978-0-471-30606-1.
  187. ^ Einstein (1905c).
  188. ^ a b Einstein (1905d).
  189. ^ Major, Fouad G. (2007). The quantum beat: principles and applications of atomic clocks (2nd ed.). Springer. p. 142. ISBN 978-0-387-69533-4.
  190. ^ Lindsay, Robert Bruce; Margenau, Henry (1981). Foundations of physics. Ox Bow Press. p. 330. ISBN 978-0-918024-17-6.
  191. ^ Einstein (1905e).
  192. ^ a b Kuepper, Hans-Josef. "List of Scientific Publications of Albert Einstein". Einstein-website.de. Retrieved 3 April 2011.
  193. ^ Levenson, Thomas. "Genius Among Geniuses". Einstein's Big Idea. Boston: WBGH. Retrieved 20 June 2015 – via NOVA by Public Broadcasting Service (PBS).
  194. ^ Fölsing (1997), pp. 178–198.
  195. ^ Stachel (2002), pp. vi, 15, 90, 131, 215.
  196. ^ Pais (1982), pp. 382–386.
  197. ^ Pais (1982), pp. 151–152.
  198. ^ Einstein (1923).
  199. ^ Pais (1982), pp. 179–183.
  200. ^ Stachel et al. (2008), pp. 273–274, vol. 2: The Swiss Years: Writings, 1900–1909.
  201. ^ Pais (1982), pp. 194–195.
  202. ^ Einstein (1916).
  203. ^ Einstein (1918).
  204. ^ a b c "Found! Gravitational Waves, or a Wrinkle in Spacetime". Nadia Drake. National Geographic. 11 February 2016. Archived from the original on 12 February 2016. Retrieved 6 July 2016.
  205. ^ "Gravity investigated with a binary pulsar-Press Release: The 1993 Nobel Prize in Physics". Nobel Foundation. Retrieved 6 July 2016.
  206. ^ Abbott, Benjamin P.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016). "Observation of Gravitational Waves from a Binary Black Hole Merger". Phys. Rev. Lett. 116 (6): 061102. arXiv:1602.03837. Bibcode:2016PhRvL.116f1102A. doi:10.1103/PhysRevLett.116.061102. PMID 26918975. S2CID 124959784. Lay summary (PDF).
  207. ^ "Gravitational Waves: Ripples in the fabric of space-time". LIGO | MIT. 11 February 2016. Retrieved 12 February 2016.
  208. ^ "Scientists make first direct detection of gravitational waves". Jennifer Chu. MIT News. Retrieved 12 February 2016.
  209. ^ Ghosh, Pallab (11 February 2016). "Einstein's gravitational waves 'seen' from black holes". BBC News. Retrieved 12 February 2016.
  210. ^ Overbye, Dennis (11 February 2016). "Gravitational Waves Detected, Confirming Einstein's Theory". The New York Times. ISSN 0362-4331. Retrieved 12 February 2016.
  211. ^ van Dongen, Jeroen (2010) Einstein's Unification Cambridge University Press, p. 23.
  212. ^ Einstein (1917a).
  213. ^ Pais (1994), pp. 285–286.
  214. ^ North, J.D. (1965). The Measure of the Universe: A History of Modern Cosmology. New York: Dover. pp. 81–83.
  215. ^ a b Einstein (1931).
  216. ^ a b O'Raifeartaigh, C; McCann, B (2014). "Einstein's cosmic model of 1931 revisited: An analysis and translation of a forgotten model of the universe" (PDF). The European Physical Journal H. 39 (2014): 63–85. arXiv:1312.2192. Bibcode:2014EPJH...39...63O. doi:10.1140/epjh/e2013-40038-x. S2CID 53419239.
  217. ^ Einstein & de Sitter (1932).
  218. ^ Nussbaumer, Harry (2014). "Einstein's conversion from his static to an expanding universe". Eur. Phys. J. H. 39 (1): 37–62. arXiv:1311.2763. Bibcode:2014EPJH...39...37N. doi:10.1140/epjh/e2013-40037-6. S2CID 122011477.
  219. ^ Nussbaumer and Bieri (2009). Discovering the Expanding Universe. Cambridge: Cambridge University Press. pp. 144–152.
  220. ^ Zimmer, Carl (9 June 2013). "The Genius of Getting It Wrong". The New York Times.
  221. ^ Castelvecchi, Davide (2014). "Einstein's lost theory uncovered". Nature News & Comment. 506 (7489): 418–419. Bibcode:2014Natur.506..418C. doi:10.1038/506418a. PMID 24572403. S2CID 205080245.
  222. ^ "On His 135th Birthday, Einstein is Still Full of Surprises". Out There. 14 March 2014.
  223. ^ a b O'Raifeartaigh, C.; McCann, B.; Nahm, W.; Mitton, S. (2014). "Einstein's steady-state theory: an abandoned model of the cosmos" (PDF). Eur. Phys. J. H. 39 (3): 353–369. arXiv:1402.0132. Bibcode:2014EPJH...39..353O. doi:10.1140/epjh/e2014-50011-x. S2CID 38384067.
  224. ^ a b Nussbaumer, Harry (2014). "Einstein's aborted attempt at a dynamic steady-state universe". arXiv:1402.4099 [physics.hist-ph].
  225. ^ Hoyle (1948). "A New Model for the Expanding Universe". MNRAS. 108 (5): 372. Bibcode:1948MNRAS.108..372H. doi:10.1093/mnras/108.5.372.
  226. ^ Bondi; Gold (1948). "The Steady-State Theory of the Expanding Universe". MNRAS. 108 (3): 252. Bibcode:1948MNRAS.108..252B. doi:10.1093/mnras/108.3.252.
  227. ^ Amir Aczel (7 March 2014). "Einstein's Lost Theory Describes a Universe Without a Big Bang". The Crux.
  228. ^ Einstein & Rosen (1935).
  229. ^ "2015 – General Relativity's Centennial". American Physical Society. 2015. Retrieved 7 April 2017.
  230. ^ Lindley, David (25 March 2005). "Focus: The Birth of Wormholes". Physics. 15. doi:10.1103/physrevfocus.15.11.
  231. ^ Celebrating Einstein "Solid Cold". U.S. DOE., Office of Scientific and Technical Information, 2011.
  232. ^ Einstein (1924).
  233. ^ "Cornell and Wieman Share 2001 Nobel Prize in Physics". 9 October 2001. Archived from the original on 10 June 2007. Retrieved 11 June 2007.
  234. ^ Pais (1982), p. 522.
  235. ^ Stachel et al. (2008), pp. 270ff, vol. 4: The Swiss Years: Writings, 1912–1914.
  236. ^ Einstein (1917b).
  237. ^ Andrews, Robert (2003). The New Penguin Dictionary of Modern Quotations. Penguin UK. p. 499. ISBN 978-0-14-196531-4.
  238. ^ Pais, Abraham (October 1979). "Einstein and the quantum theory" (PDF). Reviews of Modern Physics. 51 (4): 863–914. Bibcode:1979RvMP...51..863P. doi:10.1103/RevModPhys.51.863.
  239. ^ Bohr, N. "Discussions with Einstein on Epistemological Problems in Atomic Physics". The Value of Knowledge: A Miniature Library of Philosophy. Marxists Internet Archive. Archived from the original on 13 September 2010. Retrieved 30 August 2010. From Albert Einstein: Philosopher-Scientist (1949), publ. Cambridge University Press, 1949. Niels Bohr's report of conversations with Einstein.
  240. ^ Einstein (1969).
  241. ^ a b Einstein, Podolsky & Rosen (1935).
  242. ^ a b Isaacson (2007), pp. 448–453.
  243. ^ Penrose (2007), p. 583.
  244. ^ Fine (2017).
  245. ^ Einstein (1950).
  246. ^ Moore, Walter (1989). Schrödinger: Life and Thought. Cambridge: Cambridge University Press. ISBN 978-0-521-43767-7.
  247. ^ Goettling, Gary. Einstein's refrigerator Georgia Tech Alumni Magazine. 1998. Retrieved on 12 November 2014. Leó Szilárd, a Hungarian physicist who later worked on the Manhattan Project, is credited with the discovery of the chain reaction
  248. ^ Alok, Jha (21 September 2008). "Einstein fridge design can help global cooling". The Guardian. Archived from the original on 24 January 2011. Retrieved 22 February 2011.
  249. ^ "Obituary". The New York Times. 12 July 1986. Retrieved 3 April 2011.
  250. ^ "13 Plumbing Facts You Probably Didn't Know". Chicago Tribune. Archived from the original on 31 March 2016. Retrieved 10 April 2016.
  251. ^ Sagan, Carl (14 March 2014). "Carl Sagan Explains Albert Einstein". The New Republic. Retrieved 10 April 2016.
  252. ^ "Letters Reveal Einstein Love Life". BBC News. 11 July 2006. Retrieved 14 March 2007.
  253. ^ "Einstein". Corbis Rights Representation. Archived from the original on 19 August 2008. Retrieved 8 August 2008.
  254. ^ "United States District Court, Central District of California, Case No. CV10–03790 AHM (JCx)". 15 October 2012.
  255. ^ "United States District Court, Central District of California, Case No.: CV-10-3790-AB (JCx)". 15 January 2015.
  256. ^ Libman, E. (14 January 1939). "Disguise". The New Yorker.
  257. ^ McTee, Cindy. "Einstein's Dream for orchestra". Cindymctee.com.
  258. ^ Golden, Frederic (3 January 2000). "Person of the Century: Albert Einstein". Time. Archived from the original on 21 February 2006. Retrieved 25 February 2006.
  259. ^ Novak, Matt (16 May 2015). "9 Albert Einstein Quotes That Are Completely Fake". Gizmodo. Retrieved 4 May 2018.
  260. ^ "Did Albert Einstein Humiliate an Atheist Professor?". Snopes. Retrieved 4 May 2018.

Works cited

Further reading

External links