Quantum Correction for Newton's Law of Motion

@article{Kamalov2020QuantumCF,
  title={Quantum Correction for Newton's Law of Motion},
  author={Timur F. Kamalov},
  journal={Symmetry},
  year={2020},
  volume={12},
  pages={63}
}
  • T. Kamalov
  • Published 18 December 2016
  • Physics
  • Symmetry
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… 
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10 Citations
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Methods Citations
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10 Citations

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References

SHOWING 1-10 OF 30 REFERENCES
Classical and quantum-mechanical axioms with the higher time derivative formalism
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 (vibration) reference frames with the random…
Extending Newton's law from nonlocal-in-time kinetic energy
Instability states and Ostrogradsky formalism
  • T. Kamalov
  • Physics
    Journal of Physics: Conference Series
  • 2018
. Contemporary physics, both Classical and Quantum, requires a notion of inertial reference frames. However, how to find a physical inertial frame in reality where there always exist random weak…
General relativity as an effective field theory: The leading quantum corrections.
  • Donoghue
  • Physics
    Physical review. D, Particles and fields
  • 1994
TLDR
The treatment of gravity is described as a quantum effective field theory that allows a natural separation of the low energy quantum effects from the high energy contributions, and the leading quantum corrections to the gravitational interaction of two heavy masses are calculated.
New fundamental dynamical equation for higher derivative quantum field theories
In space-time with the Minkowski metric, the group of the metric is the inhomogeneous Lorentz group, which is also known as the Poincar e group. A dynamical equation is called fundamental if it is…
Quantum Corrections to Newton's Law
We present a new approach to quantum gravity starting from Feynman's formulation for the simplest example, that of a scalar field as the representative matter. We show that we extend his treatment to…
QUANTUM CORRECTIONS TO NEWTON'S LAW
We present a new approach to quantum gravity starting from Feynman's formulation for the simplest example, that of a scalar field as the representative matter. We show that we extend his treatment to…
The Hamilton–Jacobi Analysis of Powers of Singular Lagrangians: A Connection Between the Modified Schrödinger and the Navier–Stokes Equations
Non-standard Lagrangians have gained recently an increasing interest in the theory of nonlinear differential equations, classical and quantum nonlinear dynamical systems. In this work, we discuss a…
CORRIGENDUM: Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
Dynamical systems described by equations of motion with the first-order time derivative (dissipative) terms of even and odd powers, and coefficients varying either in time or in space, are…
Jerk in Planetary Systems and Rotational Dynamics, Nonlocal Motion Relative to Earth and Nonlocal Fluid Dynamics in Rotating Earth Frame
Some results following from the implications of nonlocal-in-time kinetic energy approach introduced recently by Suykens in the framework of rotational dynamics and motion in a non-inertial frame are…
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