Quantum Newton's law

Konstantin V. Kazakov

Jon Ogborn, Edwin F. Taylor

Newton was obliged to give his laws of motion as fundamental axioms. But today we know that the quantum world is fundamental, and Newton's laws can be seen as consequences of fundamental quantum laws. This article traces this transition from fundamental quantum mechanics to derived classical mechanics.

Francisco Duarte

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.

Valeriy Revo

Vitaly Kuyukov

Francisco Duarte

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.