Instability states and Ostrogradsky formalism

Kamalov, T. F.

doi:10.1088/1742-6596/1051/1/012033

Cited by 2 publications

(3 citation statements)

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“…but not L = L(q, q) Euler-Lagrange equation in this case is follow from least action principal [3][4][5][6] (1) which can be represent by Taylor expansion with high-order derivatives coordinates on time…”

Section: Quantum Correction Of Second Newton Lawmentioning

confidence: 99%

“…Therefore, at this stage, we restrict ourselves to only the third derivatives of the coordinates with respect to time. There are many examples of the description of mechanical systems in non-inertial reference frames [3][4][5][6] due to the influence of the backgrounds of random fields and waves. Theoretical descriptions of such cases do not always fully describe the physical reality of the processes occurring in this process.…”

Section: Macro-examples Of Non-inertial Mechanicsmentioning

confidence: 99%

“…Ostrogradsky formalism[1] uses Lagrange function isL = L(q,q,q, ..., q (n) , ...) but not L = L(q,q)Euler-Lagrange equation in this case is follow from least action principal[3][4][5][6] δS = δ L(q, .., q (n) )dt =N n=0 (−1) n d n dt n ( ∂L ∂q (n) )δq (n) dt = 0... + (−1) n d n dt n ∂L ∂q (n) + ... = 0 This equation can be write in the form of corrected Newton Second Law of Motion in Non-Inertial Reference Frames F − ma + f 0 = 0 Here…”

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confidence: 99%

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Quantum Correction for Newton’s Law of Motion

Kamalov

2019

Symmetry

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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 forces? We suggest a description of the motion in Non-Inertial Reference Frames by means of inclusion of higher time derivatives. They may play a role of non-local hidden variables in a more general description can be named Non-Inertial Mechanics complementing both classical and quantum mechanics.

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Section: Quantum Correction Of Second Newton Lawmentioning

confidence: 99%

Section: Macro-examples Of Non-inertial Mechanicsmentioning

confidence: 99%

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confidence: 99%

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Quantum Correction for Newton’s Law of Motion

Kamalov

2019

Symmetry

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Instability Criterion and Uncertainty Relation

Kamalov

2020

J. Phys.: Conf. Ser.

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The main idea of I. Newton in Principia is a description of the laws of motion in Inertial Reference Frames by a second-order differential equation. The variation of the action functional S of stability trajectories equals to zero. The observational error is including the influence of the random fields’ background to the particle. Are we must to use a high-order differential equation for the description in the random fields background? The highorder derivatives can be used as additional variables accounting for the influence of random field background. Trajectories due the influence of the random fields’ background can be called instability random trajectories. They can be described by high order derivatives. Then the stability classical trajectories must be complemented by additional instability random trajectories. Quantum objects are described by the trajectory with neighborhoods. Quantum Probability can describe quantum objects in random fields’. The variation of the action functional S is defined by the Planck constant. For the common description of quantum theory and high-order theory, let us compare r-neighborhoods of quantum action functional with r-neighborhoods of the action functional of a high-order theory.

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Instability states and Ostrogradsky formalism

Cited by 2 publications

References 2 publications

Quantum Correction for Newton’s Law of Motion

Quantum Correction for Newton’s Law of Motion

Instability Criterion and Uncertainty Relation

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