On Correlations between Quantum Uncertainty and Classical Forces

Abstract

   The Coulomb law and the Newton’s gravity law define the forces acting between two electric or gravity charges, separated by a macroscopic distance and resting or moving slowly relative to each other. Quantum electrodynamics, in contrary, describes precisely what happens when two elementary charges (electrons) moving at high velocities close to the speed of light interact at a microscopic distance. Actually, the two theories describe two oppositely different extreme cases. However, it is commonly accepted that classical forces can be derived from quantum theory in the limit when the Plank constant tends to zero, though to trace this transition explicitly is technically rather difficult. The current note contains some estimations and speculations, pointing out the fact that quantum uncertainty somehow correlates with classical Coulomb and Newton laws, and this correlation does not require zero Planck constant. These estimations will probably be interesting to theoreticians and useful for teachers, who have to answer questions concerning correlations between classical and quantum approaches.