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fundamental constants
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first basic constant in physics
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second basic constant Discovery of electron
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Arnold Sommerfeld, 1916 third constant
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15.12.1958 Nr. 137 Kantonspital Zuerich Wolfgang Pauli
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electroweak theory QED Weak Interactions
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1 mass of weak boson 1 mass of “Higgs” boson 2 coupling constants 1 electron mass
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6 quarks
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proton mass field energy (gluons and quarks)
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fundamental constant:
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7 fundamental constants in strong interactions
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Standard Theory
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Newtons constant G 1 fine structure constant 1 coupling constant of strong interaction 1 coupling constant of weak interaction 1 mass of W boson 1 mass of Higgs boson 1 masses of 6 quarks and 6 leptons 12 flavor mixing of quarks 4 flavor mixing of leptons 6
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weak bosons quarks leptons Higgs boson ?
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alpha depends on energy
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1.8 billion years 1.8 billion years 3.7% U 235 3.7% U 235 (today 0.72 %) (today 0.72 %) Moderator: water from river Oklo Moderator: water from river Oklo
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Change of alpha: (if no other parameters change) (if no other parameters change) ==> constraint questionable
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Time variation of natural constants?Time variation of natural constants? fine structure atomic levels Quasars 5 -11 billion light years
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Quasar absorption spectra Light
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fine structure: Fe, Ni, Mg, Sn, A
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Grand Unification electroweak interactions QCDQCD
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grand unification 1/ coupling constant
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grand unification
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grand unfication
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Grand unification
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Calmet, Fritzsch Langacker, Segre (2002)
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Change of magnetic moments of atomic nuclei per year
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Change ( unification scale )
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Cesium clocks Cesium clocks
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Hyperfine transition Hyperfine transition magnetic moment magnetic moment of cesium nucleus of cesium nucleus time change time change of QCD scale of QCD scale
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Difference: 3 oscillations per day
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MPQ-Experiment 486 nm dye laser in hydrogen spectrometer Reference: cesium clock Pharao LPTF Paris Hydrogen: 1s-2s transition 2 466 061 413 187 127 (18) Hz
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simultaneous change unified coupling constant + unification scale ( E. Witten)
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superstring theories partial cancellation
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Reinhold et al. PRL 96 (2006) 2 quasars - 12 billion years
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same sign as MPQ result
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The masses of atomic nuclei will depend on time!
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28 constants 28 constants 14 constants 14 constants mass parameters mass parameters
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time variation time variation alpha alpha time variation time variation QCD scale QCD scale
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many fundamental many fundamental „constants“ „constants“ functions of time ?
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Murray Gell-Mann Fundamental Constants Cosmic Accidents ?
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