Misssing experiments in relativity and gravity

Abstract

The proposal is submitted for the measurement of the relativistic length contraction using the nanoscopic dumbbell moving in LHC or ILC. Some paradoxes concerning the length contraction and simultaneity are discussed. The dynamical states of rods and strings accelerated by the gravitational field and non-gravitational field are discussed. The realizaton of the acceleration of the nanotube charged dumbbell in LHC, ILC and other accelerators is evidently the prestige problem for the experts working in the accelerator physiocs.