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Theory Of Harmonic Oscillations: A Gross Error In Physics

Author:

Kalanov, Temur Z.

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

January 31, 2023

File:

/Research Papers-Mechanics / Electrodynamics/Download/9487

Downloads:

243

Keywords:

general physics, classical mechanics, formalisms in classical mechanics, Newtonian mechanics, harmonic oscillations, engineering, technology, general mathematics, methodology of mathematics, general applied mathematics, philosophy of mathematics, educatio

Abstract:

The critical analysis of the foundations of the standard theory of harmonic oscillations is proposed. The unity of formal logic and rational dialectics is methodological basis of the analysis. The analysis leads to the conclusion that this theory represents gross error. The substantiation (validation) of this statement is the following main results. I. In the case of the material point suspended on the elastic spring, the linear differential equation of harmonic oscillations is the equation (condition) of balance of Newton’s force (Newton’s second law) and “Hooke’s force” (“Hooke’s law” as pseudolaw). This equation contains the following gross methodological errors: (a) the differential equation of motion of the material point does not satisfy the dialectical principle of the unity of the qualitative and quantitative determinacy of physical quantities (i.e., Newton’s force and Hooke’s force). In other words, the left and right sides of the differential equation (i.e., the equation of balance of the forces) have no identical qualitative determinacy: the left side of the the equation of balance of the forces represents Newton’s force, and the right side of the the equation of balance of the forces represents the “Hooke’s force” (as pseudolaw); (b) the sum of Newton’s force and the “Hooke force” (as pseudolaw) in the the equation of balance of the forces is equal to zero..../...

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