CODATA Recommended Values of the Fundamental Physical Constants: 2010

Mohr, Peter J.; Taylor, Barry N.; Newell, David B.

doi:10.48550/arxiv.1203.5425

Cited by 65 publications

(180 citation statements)

References 177 publications

(250 reference statements)

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“…expt /2 = 1.001 159 652 180 73 (28) gives rise to the best determination of the fine structure constant α (at b = 0) [39]. However, when the lattice spacing is non-zero, the extracted value of α becomes a function of b,…”

Section: Qed Fine Structure Constant and The Anomalous Magnetic Momentmentioning

confidence: 99%

“…expt /2 = 1.001 165 920 89(54) (33) and g (µ) theory /2 = 1.001 165 918 02(2)(42)(26) [39]. Attributing this difference to a finite lattice spacing, these values give rise to…”

Section: Qed Fine Structure Constant and The Anomalous Magnetic Momentmentioning

confidence: 99%

“…The latter extraction, as discussed in Ref. [39], is rather complicated, with the value of the R ∞ obtained from a χ 2minimization fit involving the experimentally determined energy-level splittings. However, to recover the constraints on the Dirac energy-eigenvalues (which then lead to R ∞ ), theoretical corrections must be first removed from the experimental values.…”

Section: The Rydberg Constant and αmentioning

confidence: 99%

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Constraints on the universe as a numerical simulation

2014

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Observable consequences of the hypothesis that the observed universe is a numerical simulation performed on a cubic space-time lattice or grid are explored. The simulation scenario is first motivated by extrapolating current trends in computational resource requirements for lattice QCD into the future. Using the historical development of lattice gauge theory technology as a guide, we assume that our universe is an early numerical simulation with unimproved Wilson fermion discretization and investigate potentially-observable consequences. Among the observables that are considered are the muon g − 2 and the current differences between determinations of α, but the most stringent bound on the inverse lattice spacing of the universe, b −1 > ∼ 10 11 GeV, is derived from the high-energy cut off of the cosmic ray spectrum. The numerical simulation scenario could reveal itself in the distributions of the highest energy cosmic rays exhibiting a degree of rotational symmetry breaking that reflects the structure of the underlying lattice. * beane@hiskp.uni-bonn.de. On leave from the University of New Hampshire. †

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Section: Qed Fine Structure Constant and The Anomalous Magnetic Momentmentioning

confidence: 99%

“…expt /2 = 1.001 165 920 89(54) (33) and g (µ) theory /2 = 1.001 165 918 02(2)(42)(26) [39]. Attributing this difference to a finite lattice spacing, these values give rise to…”

Section: Qed Fine Structure Constant and The Anomalous Magnetic Momentmentioning

confidence: 99%

Section: The Rydberg Constant and αmentioning

confidence: 99%

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Constraints on the universe as a numerical simulation

2014

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“…The refractive index of the atomic sample affects the wave vector of the excitation beams, since a photon in = 94.77384783 (12) rad/ms, which is based on the value of h/M ( 87 Rb) from Ref. [11] and the F = 2 → F ′ = 3 transition frequency in 87 Rb from Ref.…”

Section: A Systematic Effectsmentioning

confidence: 99%

Measuring the atomic recoil frequency using a modified grating-echo atom interferometer

et al. 2013

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We describe progress toward a precise measurement of the recoil energy of an atom measured using a perturbative grating-echo atom interferometer (AI) that involves three standing-wave (sw) pulses. With this technique, a perturbing sw pulse is used to shift the phase of excited momentum states-producing a modulation in the contrast of the interference pattern. The signal exhibits narrow fringes that revive periodically at twice the two-photon recoil frequency, 2ωq, as a function of the onset time of the pulse. Experiments are performed using samples of laser-cooled rubidium atoms with temperatures 5 µK in a non-magnetic apparatus. We demonstrate a measurement of ωq with a statistical uncertainty of 37 parts per 10 9 (ppb) on a time scale of ∼ 45 ms in 14 hours. Further statistical improvements are anticipated by extending this time scale and narrowing the signal fringe width. However, the total systematic uncertainty is estimated to be ∼ 6 parts per 10 6 (ppm). We describe methods of reducing these systematic errors.

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“…The physical mass splittings between members of baryonic isospin multiplets have been measured extremely precisely [1,2]: (21) MeV.…”

Section: Introductionmentioning

confidence: 99%