Galilean experiment at the elementary particle level

Abstract

As is well known Einsteinian theory of gravity is based on he so called equivalence principle according of which gravity is identified with accelerated frame and therefore both - acceleration and gravity - are described by means of metric given on the space-time continuum. Here we demonstrate that at the elementary particle level (in the framework of the quantized field theory) there is no equivalence between gravity and acceleration. As a result we may formulate the following statement: two particles with different masses (for example electron and proton) move in one and the same given external gravitational field not identical, they move with different accelerations.