Metrological constraints on the variability of the fundamental constants $e$, $\hbar$, and $c$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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8 pages, RevTex, revised references and two typos corrected

Scientific paper

10.1016/j.physleta.2004.09.031

We set up a framework for a model-independent analysis of the time variation of $e$, $\hbar$, and $c$ indiviually. It is shown that the time-evolution of each constant can be determined uniquely from the time evolution of the fine structure constant $\alpha$ provided that the choice of basic time-independent units (i.e., the clock and ruler) is fixed. Realistic systems of units are considered as examples and implications for metrology are discussed.

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