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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 variations of constants. The "winner in sensitivity" depends on whatrelations exist between the variations of different couplings in the standardmodel of particle physics, which may arise from the unification of gaugeinteractions. WEP tests are currently the most sensitive within unifiedscenarios. A detection of time variation in atomic clocks would favourdynamical dark energy and put strong constraints on the dynamics of acosmological scalar field.

Competing bounds on the present-day time variation of fundamental constants