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We present supplementary information on the recent indirect measurement ofthe Casimir pressure between two parallel plates using a micromachinedoscillator. The equivalent pressure between the plates is obtained by means ofthe proximity force approximation after measuring the force gradient between agold coated sphere and a gold coated plate. The data are compared with a newtheoretical approach to the thermal Casimir force based on the use of theLifshitz formula, combined with a generalized plasma-like dielectricpermittivity which takes into account interband transitions of core electrons.The theoretical Casimir pressures calculated using the new approach arecompared with those computed in the framework of the previously used impedanceapproach and also with the Drude model approach. The latter is shown to beexcluded by the data at a 99.9% confidence level within a wide separation rangefrom 210 to 620 nm. The level of agreement between the data and theoreticalapproaches based on the generalized plasma model, or the Leontovich surfaceimpedance, is used to set stronger constraints on the Yukawa forces predictedfrom the exchange of light elementary particles and/or extra-dimensionalphysics. The resulting constraints are the strongest in the interaction regionfrom 20 to 86 nm with a largest improvement by a factor of 4.4 at 26 nm.

Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect