Tabletop Search for Planck-Scale Signals in the Regime of Quasiclassical Oscillations

We consider quasiclassical oscillations in the Bekenstein’s proposal for the tabletop search of the discreteness of space. In the original proposal, a transparent block which transmits a sequence of single photons, is suspended from a fiber. We consider a situation when the block is set into the quasiclassical oscillations. This allows us to better understand the dynamical regimes of the center of mass (CM) of the block for two limits, quantum and classical. We also analyze the correlation function for the CM of the block and argue that it does not describe real fluctuations which could make the proposed experiment impossible. We suggest that the best place for the implementation of the Bekenstein’s proposal could be the International Space Station, where the fiber is not required.