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We first argue that the collective behaviour of the Cooper pairs created bythermal fluctuations well above the superconducting transition temperature, Tc,is dominated by the uncertainty principle which, in particular, leads to awell-defined temperature, T^C, above which the superconducting coherencevanishes. On the grounds of the BCS approach, the correspondingreduced-temperature, ln(T^C/Tc), is estimated to be around 0.55, i.e., aboveT^C \approx 1.7Tc coherent Cooper pairs cannot exist. The implications of theseproposals on the superfluid density are then examined using theGaussian-Ginzburg-Landau approximation. Then we present new measurements of thethermal fluctuation effects on the electrical conductivity and on themagnetization in different low- and high-Tc superconductors with differentdopings which are in excellent agreement with these proposals and thatdemonstrate the universality of ln(T^C/Tc).Comment: LaTeX, 10 pages, 3 figures, as published in Europhysics Letter

On the consequences of the uncertainty principle on the superconducting fluctuations well inside the normal state