From quantum interference to Newton’s second law
Francisco Duarte
Abstract
An indeterministic version of Newton’s second law is derived from the formalism of N-slit quantum interference measurements. This result is an extension of the derivation of the approximate version of Planck’s quantum energy equation. Going from the quantum realm to the classical domain is achieved via the application of Heisenberg’s uncertainty principle. The stochastic version of Newton’s second law is then extended to provide a derivation of an approximate version of Newton’s law of universal gravitational. Our results are applied to formulate an expression for the derivative of the momentum operator.