|  Observational Bounds on Fine-Structure Constant Variations | 
In General > s.a. fine-structure constant.
  * Idea: Support for the possibility
    is mixed; Absorption spectra of interstellar matter have led to claims both for and
    against variations of α.
  * Methods: Astrophysical observations
    determine shifts in α by comparing the spectra of light from 3 to
    10 billion years ago to those from current laboratory measurements; Atomic clock
    measurements compare the frequencies of two atomic transition lines, either on the
    same atom or on different atoms, over time.
  * History: At one point Eddington
    asserted that the fine structure constant was, for numerological reasons, exactly
    1/137.
  * 1997:
    Δ(gpα2)
    / (gpα2) < 5
    × 10−6 at z = 0.25,
    0.68; Δα/α ≤ 2 ×
    10−4 for atoms at z > 1.
  * 2000:
    α·/α ≤
    3.5 × 10−15/yr out to
    t0−t ~ 4.8 Gyr.
  * 2001: Δα/α
    ~ 10−5 over 12 ×
    109 yr (4.1-σ effect), from metal absorption
    line spacings in gas clouds, propto α2.
  * 2003: Δα/α
    < (−2 ± 1.2) × 10−4 for
    quasars with 0.16 < z < 0.80, from O III emission lines.
  * 2004:
    Δα/α = (−0.06 ± 0.06) ×
    10−5 for Mg II at 0.4 < z <
    2.3, and  results for Si IV at 1.59 < z < 2.92, consistent with 0;
    α·/α ≤ 2.0 ×
    10−15/yr (1-σ, present).
  * 2005: There are still discrepancies, with
    the deepest data showing an increase by 6 × 10−9
    over 12 × 1012 yr, and other data consistent
    with no change; One possibility is that α varied earlier and no longer
    varies; Δα/α = (−0.07 ± 0.84) ×
    10−6 for Fe II at z = 1.15.
  * 2006: Still no agreement
    on effect; Δα/α = (0.05 ± 0.24) ×
    10−6 at z = 1.1508.
  * 2007: Change between
    recombination (1012 < z < 1115) and now is −0.039
    < Δα < 0.010 at 95% c.l., from WMAP3 data.
  * 2008: Researchers at NIST
    have concluded that α is not changing to within 1.6 ×
    10−17 per year.
  * 2009: WMAP5 data give
    α/α0
    = 0.987 ± 0.012 at 68% c.l., and 1.001 ± 0.007 at 68% including
    H0 constraints from HST.
  * 2010: Data from the natural Oklo
    reactor give α·/α
    ≤ 5.0 × 10−18/yr.
  * 2012: Evidence for a dipole pattern with
    amplitude (1.1 ± 0.2) × 10−6/GLyr
    proportional to lookback time, significant at the 4.2-σ confidence level.
  * 2014: No significant
    change seen in the redshift range z = 0.7 – 1.5.
  * 2016: No significant
    change seen in the redshift range z = 1.0 – 2.4.
  * 2020: No significant
    change seen in the redshift range z = 5.5 – 7.1.
  @ General references: Kraiselburd et al A&A(13)-a1307 [update];
    Alves et al PLB(17)-a1704 [upcoming experiments].
  @ Spectral lines: Webb & al PRL(99)ap/98,
    PRL(01)ap/00;
    Varshalovich et al PS(01)phy/00;
    Murphy et al MNRAS(01)ap/00,
    ASS(03)ap/02-proc [details],
    MNRAS(03)ap;
    Darling PRL(03) [OH microwave transitions];
    Webb pw(03)apr [rev];
    Bahcall et al ApJ(04)ap/03 [O III];
    Srianand et al PRL(04)ap,
    criticism Murphy et al PRL(07)-a0708;
    Angstmann et al PRA(04)ap [bounds];
    Chand et al A&A(04)ap [Mg II],
    A&A(05)ap/04 [Si IV];
    Peik et al PRL(04);
    Dzuba & Flambaum PRA(05)ap;
    Grupe et al AJ(05)ap;
    Levshakov et al IAU(05)ap-in [Fe II, z = 1.15, SIDAM];
    Chand et al A&A(06)ap;
    Murphy et al MNRAS(08)ap/06;
    Khatri & Wandelt PRL(07)ap
    + pw(07)mar,
    comment Flambaum & Porsev a1004,
    reply PRL(10)-a1007 [effect on 21-cm radiation];
    King et al a0910-proc [Monte Carlo methods];
    Albareti et al MNRAS(15)-a1501 [13k quasar spectra at z < 1].
  @ Spectral lines, no evidence:
    Drinkwater et al IAP-ap/97,
    MNRAS(98)ap/97,
    Carilli et al PRL(00)ap
    + pn(00)dec [21-cm H line];
    Levshakov LNP-ap/03;
    Quast et al A&A(04)ap/03 [Fe II];
    Molaro et al IAU(05)ap,
    EPJST(08)-a0712 [Fe II];
    Lentati et al MNRAS(13)-a1211;
    Leefer et al PRL(13) [using atomic dysprosium];
    Songaila & Cowie ApJ(14)-a1406;
    Huntemann et al PRL(14),
    Godun et al PRL(14) [atomic clock measurements];
    Murphy et al MNRAS(16)-a1606 [Zn and Cr quasar absorption lines];
    Murphy et al MNRAS(17)-a1708;
    Wilczynska et al sAdv-a2003.
  @ From cmb: Hannestad PRD(99)ap/98;
    Kaplinghat et al PRD(99);
    Avelino et al PRD(01)ap [bounds];
    Martins ap/02-proc [bounds];
    Rocha et al NAR(03)ap-proc,
    MNRAS(04)ap/03 [WMAP, bounds];
    Ichikawa et al PRD(06)ap;
    Stefanescu NA(07)-a0707 [WMAP 3-year data];
    Mosquera et al A&A(08)-a0707 [and Bekenstein model];
    Scóccola et al PLB(08)-a0809,
    Nakashima et al PTP(08)-a0810,
    Scóccola et al a0910-proc [WMAP 5-year data];
    Menegoni et al PRD(09)-a0909;
    Nakashima et al JCAP(10).
  @ Lab experiments: Livio & Stiavelli ApJL(98)ap;
    Marion et al PRL(03)phy/02 [atomic fountain clock];
    Nguyen et al PRA(04) [dysprosium lines];
    Barrow & Shaw PRD(08)-a0806 [stronger constraints];
    news quanta(18)apr [atomic clocks and search for dark matter].
  @ Oklo reactor:
    Lamoreaux & Torgerson PRD(04);
    Onegin MPLA(12)-a1010;
    Davis & Hamdan PRC(15)-a1503;
    Hamdan & Dabis a1510-conf.
  @ In gravitational fields: Berengut et al PRL(13)-a1305 [bounds on variation];
    Bambi JCAP(14)-a1308,
    Preval et al a1410-proc [strong fields];
    Bainbridge et al Univ(17)-a1702-proc [white dwarf stars];
    news sn(20)feb [no change in strong gravity].
  @ Related topics:
    Fujii & Iwamoto PRL(03) [Re/Os decay rate],
    MPLA(05) [dating meteorites];
    Centurión et al a0910-proc [calibration issues];
    Galli PRD(13)-a1212 [from galaxy cluster X-ray emission];
    Onegin a1412;
    Holanda et al JCAP(16)-a1510 [galaxy clusters];
    > s.a. tests of the equivalence principle.
Spatial Variation
  * 2016: There are indications
    of a spatial variation of α at a level of a few parts per million,
    with a dipole providing a statistically good fit to the data.
  @ References:  Webb et al PRL(11)-a1008
    + news tb(11)oct,
    sci(11)nov;
    King et al MNRAS(12)-a1202 [evidence for dipole pattern];
    Berengut et al A&A(12)-a1203;
    Olive et al PRD(12)-a1204 [and dilatonic domains];
    Cameron & Pettitt a1207/MNRAS,
    a1309/MNRAS [skeptical interpretation];
    Pinho & Martins PLB(16)-a1603,
    de Martino et al Univ(16)-a1612-conf [updated constraints].
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  send feedback and suggestions to bombelli at olemiss.edu – modified 5 apr 2020