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We compare the sensitivity of a recent bound on time variation of the finestructure constant from optical clocks with bounds on time varying fundamentalconstants from atomic clocks sensitive to the electron-to-proton mass ratio,from radioactive decay rates in meteorites, and from the Oklo natural reactor.Tests of the Weak Equivalence Principle also lead to comparable bounds onpresent time variations of constants, as well as putting the strongest limitson variations tracking the gravitational potential. For recent time variations,the "winner in sensitivity" depends on possible relations between thevariations of different couplings in the standard model of particle physics.WEP tests are currently the most sensitive within scenarios with unification ofgauge interactions. A detection of time variation in atomic clocks would favourdynamical dark energy and put strong constraints on the dynamics of acosmological scalar field.

Recent variations of fundamental parameters and their implications for gravitation