The History and Philosophy of Astronomy Lecture 19: Einstein. Presentation

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    The History and Philosophyof Astronomy

    (Lecture 19: Einstein II)

    Instructor: Volker BrommTA: Jarrett Johnson

    The University of Texas at Austin

    Astronomy 350L(Fall 2006)

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    Overview: Einsteins Life

    Nov. 2

    Nov. 7

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    Einstein in Berlin: 1914-32

    1914: Max Planck secures Einsteins appointment

    as professor at the Prussian Academy of Sciences(founded 1700 by Leibniz, German equivalent of Royal Society)

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    Berlin 1914: World Center of Science

    Einstein becomes part of vibrant scientific community!

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    Berlin 1914: Outbreak of WW I

    All European nations excited to go to war!

    Einstein takes lone pacifist stand!

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    General Theory of Relativity (1915-16)

    Big Q: What is gravity???

    Newton (1687): -- `action-at-a-distance

    -- doesnt really answer the question

    Einstein (1915): -- principle of equivalence

    -- great idea: GRAVITY = ACCELERATION

    -- his happiest thought

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    General Theory of Relativity (1915-16)

    Principle of Equivalence (gravity = acceleration)

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    General Theory of Relativity (1915-16)

    Principle of Equivalence (gravity = acceleration)

    (1g upwards)

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    General Theory of Relativity (1915-16)

    Big Q: What is gravity???

    principle of equivalence: GRAVITY = ACCELERATION

    you dont feel effect of gravity in freely falling spaceship(`weightlessness)

    it is possible to transform away gravity (locally)!

    But: you cant get rid of gravity completely!

    tidal forces betray gravity!

    globally, gravity is non-uniform!

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    General Theory of Relativity (1915-16)

    gravity betrayed:

    gravity: neighboring particles in free-fall slowlyconverge (experience: `tidal forces)

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    General Theory of Relativity (1915-16)

    tidal effect of gravity similar to behavior of`straight lines on curved surfaces

    Einsteins great idea: gravity is related to curvature ofspace! (surface = 2 dimensional space)

    (ants are told to crawl straight ahead!)

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    General Theory of Relativity (1915-16)

    Principle 1: Matter tells space how to curve

    matter creates `dimples in otherwise flat spacetime!

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    General Theory of Relativity (1915-16)

    Principle 2: Curved space tells matter how to move

    particles move through spacetime along paths of

    least resistance (technically: `geodesics)!

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    General Theory of Relativity (1915-16)

    Einsteins Field equations:

    a `tensor equation very complicated

    (10 coupled non-linear differential equations)

    (curvature of space) (matter content)

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    Einstein vs Newton

    compare views on planetary motion:

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    Einstein vs Newton

    Old view (Newton): Gravity acts `at-a-distance(i.e., speed of gravitational disturbance = infinity)

    New view (Einstein): Gravity acts viagravitational waves (`ripples in spacetime)(i.e., speed of gravitational disturbance = speed of light)

    try to detect them with LIGO and LISA!

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    LIGO Experiment (Laser Interferometer

    Gravitational-wave Observatory) tries to detect gravitational waves

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    General Theory of Relativity (1915-16)

    - Predict `gravitational redshift(light escaping from massive body becomes redder)

    - Predict gravitational bending (deflection) of light!(most famous of the 3 tests; `experimentum crucis)

    - Successfully explain anomaly in Mercurys orbit(`perihelion precession)

    Einstein proposes 3 classical tests of GR:

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    General Theory of Relativity (1915-16)

    Gravitational redshift:

    Photon climbing out of gravitational well loses energyless energy = lower frequence = redder color!

    was successfully measured only in 1960 (Pound & Rebka)

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    General Theory of Relativity (1915-16)

    Bending of light-rays:

    Prediction: Suns gravity deflects light from distant stars!

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    General Theory of Relativity (1915-16)

    Observe bending of light during Solar eclipse!

    Einsteins prediction: Stars shifted by 1.75

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    Eddingtons Eclipse Expedition (1919)

    Eddingtons observation confirms Einsteins theory!

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    After 1919: Einstein the Legend

    Einstein becomes world-famous!

    travels the globe

    hobnobs with high-society

    begins to exert significantinfluence in politics

    (New York Times)

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    1919: Divorce and 2 nd Marriage

    marriage with his cousin Elsa Einstein (1919-36)

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    Einstein visits America

    Einstein at City Hall, New York (1921)

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    Einstein visits America

    Chaplin to Einstein: People love me, because theyunderstand everything I say, and they love you,because they understand nothing of what you say

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    Einsteins Favorite Recreational Spots

    his beloved summer house in Caputh (near Berlin)

    many famous and powerful visitors

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    Einsteins Favorite Recreational Spots

    Island of Hiddensee (Germanys Marthas Vineyard)

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    Solving Einsteins Equations of GR

    1916: Karl Schwarzschild predicts black holes

    Karl Schwarzschild (1873-1916)

    `Schwarzschild radius

    f

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    Solving Einsteins Equations of GR

    1917: Einstein constructs model of the universethat is eternal and static

    begin by postulating `cosmological principle :Universe looks everywhere the same!(homogeneity and isotropy)

    today, we knowthis is an excellentapproximation, butin 1917, it was merelyan inspired guess!

    S l i Ei i E i f GR

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    Solving Einsteins Equations of GR

    1917: Einstein constructs model of the universethat is eternal and static

    finite but without boundary

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    Ei t i `G t t Bl d

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    Einsteins Greatest Blunder

    The cosmological constant:

    cosmological constant (lambda) acts as anti-gravity(physically: very weird stuff, having negative pressure)

    (curvature of space) (matter)(cosmological

    constant)

    S l i g Ei t i E ti f GR

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    Solving Einsteins Equations of GR

    1922: an expanding universe (GR withoutcosmological constant)

    Alexander Friedmann(1888-1925)

    Escape from Germany (1932)

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    Escape from Germany (1932)

    Dec. 10, 1932: Einstein andElsa depart from Berlin fora visit to U.S.

    Jan. 30: Hitler comes topower

    Einstein (being Jewish)never sets foot into Germanyagain

    Einsteins Fa orite Recreational Spots

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    Einsteins Favorite Recreational Spots

    his beloved summer house in Caputh (near Berlin)

    many famous and powerful visitors

    Einstein in Princeton (1933 55)

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    Einstein in Princeton (1933-55)

    professor at newly foundedInstitute for Advanced Study

    Einstein in Princeton (1933 55)

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    Einstein in Princeton (1933-55)

    112 Mercer Street: his private house

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    Einstein in Princeton (1933-55)

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    Einstein in Princeton (1933-55)

    failure to find `unified field theory(i.e., gravity + electromagnetism)!

    Einstein and the Bomb

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    Einstein and the Bomb

    1939: Fellow migr Leo Szilard (Hungary) warnsEinstein of possible Nazi bomb effort

    Einstein and the Bomb

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    Einstein and the Bomb

    Letter to FDR

    E warns presidentabout Nazi bomb

    setting `Manhattanproject into motion

    Einstein and the Bomb

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    Einstein and the Bomb

    Hiroshima bomb: 1 gram of uranium

    Einstein and the Foundation of Israel

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    Einstein and the Foundation of Israel

    Ben Gurion offers Einstein Presidency of IsraelEinstein declines (1 st Israeli president: Chaim Waizmann)

    1955: Journeys End

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    : y

    dies in Princeton hospital, his body is cremated thesame day, and his ashes scattered at undisclosed place

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