List of Tables

Table 1:
List of the fundamental constants of our standard model. See Ref. [379] for further details on the measurements.
Table 2:
List of some related constants that appear in our discussions. See Ref. [379].
Table 3:
Summary of the constraints on the violation of the universality of free fall.
Table 4:
Main cosmological parameters in the standard Λ-CDM model. There are 7 main parameters (because ∑ Ω = 0 i) to which one can add 6 more to include dark energy, neutrinos and gravity waves. Note that often the spatial curvature is set to ΩK = 0. (See, e.g. Refs. [296, 409]).
Table 5:
Summary of the systems considered to set constraints on the variation of the fundamental constants. We summarize the observable quantities, the primary constants used to interpret the data and the other hypothesis required for this interpretation. All the quantities appearing in this table are defined in the text.
Table 6:
Sensitivity of various transitions on a variation of the fine-structure constant.
Table 7:
Summary of the constraints obtained from the comparisons of atomic clocks. For each constraint on the relative drift of the frequency of the two clocks, we provide the dependence in the various constants, using the numbers of Table 6. From Ref. [379], which can be consulted for other constants.
Table 8:
Summary of the analysis of the Oklo data. The principal assumptions to infer the value of the resonance energy E r are the form of the neutron spectrum and its temperature.
Table 9:
Summary of the main nuclei and their physical properties that have been used in α-decay studies.
Table 10:
Summary of the latest constraints on the variation of fundamental constants obtained from the analysis of quasar absorption spectra. We recall that y ≡ g α2 p EM, F ≡ g (α2 μ)1.57 p EM, 2 x ≡ αEMgp ∕μ, ′ 2 F ≡ α EMμ and μ ≡ mp ∕me, 1.85 G = gp(α μ).
Table 11:
Summary of the latest constraints on the variation of fundamental constants obtained from the analysis of cosmological data and more particularly of CMB data. All assume Ω = 0 K.