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Вестник Российского университета дружбы народов. Серия: Математика, информатика, физика

Физика неинерциальных систем отсчёта и квантовая механика

Камалов Тимур Фянович

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The present model with higher time derivatives of coordinates is based on generalization of Newton's classical laws onto special class of arbitrary reference frames (both inertial and non-inertial ones) with body dynamics being described by higher order differential equations. Higher order derivatives could complement classical and quantum descriptions of physical reality as non-local hidden variables.

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The present model with higher time derivatives of coordinates is based on generalization of Newton's classical laws onto special class of arbitrary reference frames (both inertial and non-inertial ones) with body dynamics being described by higher order differential equations. Higher order derivatives could complement classical and quantum descriptions of physical reality as non-local hidden variables.
A Newtonian mechanics model is essentially the model of a point body in an inertial reference frame. How to describe extended bodies in non-inertial (vibrational) reference frames with the random initial conditions? One of the most general description (known as the higher derivatives formalism) consists in taking into account the infinite number of the higher order temporal derivatives of the coordinates in the Lagrange function. Such formalism describes physical objects in the infinite dimensional space does not contradict quantum mechanics and infinite dimensional Hilbert space.
Which non-local hidden variables could complement the description of physical reality? The present model of extended Newtonian dynamics (MEND) is generalize but not alternative to Newtonian Dynamics because its extended Newtonian Dynamics to arbitrary reference frames. It Is Physics of Arbitrary Reference Frames. Generalize and alternative is not the same. MEND describes the dynamics of mechanical systems for arbitrary reference frames and not only for inertial reference frames as Newtonian Dynamics. Newtonian Dynamics can describe non-inertial reference frames as well introducing fiction forces. In MEND we have fiction forces naturally and automatically from new axiomatic and we needn't have inertial reference frame. MEND is differs from Newtonian Dynamics in the case of micro-objects description.
Abstract Refusal to use inertial reference frames in favor of non-inertial reference frames means significant changes in the axiomatics of both classical and quantum physics. Taking into account the influences of random small forces and fields makes the equations of classical physics, expanding, subject not only to deterministic laws, but also expands the equations of classical physics with additional variables that have an indeterministic, probabilistic behavior. Extending the scope of consideration of physical systems to non-inertial frames of reference leads to the already well-known new field of study known as quantum correction of Newton’s laws of motion. In this case, not only stable deterministic trajectories are considered, but also unstable, random ones, which usually constitute the measurement error in experiments in cases of applying classical physics and the probability distribution of quantum mechanics. Such a quantum correction can extend the action of Newton’s laws to the microworld by abandoning the basic idea of classical physics that physical systems should be described by differential equations of no higher than second order in favor of supplementing them with higher derivative variables that describe unstable random trajectories.