Quantum Correction for Newton's Law of Motion

TL;DR

This paper explores how incorporating high-order derivatives into Newton's laws can address the limitations of classical and quantum descriptions, proposing a new framework involving dark metrics and nonlocal variables in noninertial reference frames.

Contribution

It introduces a novel approach using high derivatives and dark metrics to improve the understanding of noninertial mechanics and quantum corrections to classical motion.

Findings

High derivatives serve as nonlocal hidden variables.

Dark metrics replace dark matter and energy concepts.

Verification of the approach via macroscopic examples.

Abstract

A description of the motion in noninertial reference frames by means of the inclusion of high time derivatives is studied. Incompleteness of the description of physical reality is a problem of any theory, both in quantum mechanics and classical physics. The ``stability principle'' is put forward. We~also provide macroscopic examples of noninertial mechanics and verify the use of high-order derivatives as nonlocal hidden variables on the basis of the equivalence principle when acceleration is equal to the gravitational field. Acceleration in this case is a function of high derivatives with respect to time. The~definition of dark metrics for matter and energy is presented to replace the standard notions of dark matter and dark energy. In the Conclusion section, problem symmetry is noted for noninertial mechanics.