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Principle of equal effects of general relativity and invariance of classical mechanics equations

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Abstract

This paper gives the proof that the “inertial forces” in a noninertial system are not fabricated forces, but potential forces which actually act on the objects in motion in the acceleration field, according to the equivalent principle between gravitation and inertial forces in the theory general relativity. Further, the invariance of kinetical equation is illuminated.

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References

  1. Mei Feng-xiang,The Foundation of Analytical Mechanics, Xi'an Jiaotong University Press (1987). (in Chinese)

  2. Mei Feng-xiang,The Foundation of Mechanics in Non-Holonomic System, Peking Engineering College Press (1985). (in Chinese)

  3. Bergmann, P. G.,Introduction to the Theory of Relativity, New York (1958).

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Communicated by Wang Hong-gang

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Tian-lin, L., Ling-yun, Z. Principle of equal effects of general relativity and invariance of classical mechanics equations. Appl Math Mech 14, 361–366 (1993). https://doi.org/10.1007/BF02465173

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  • DOI: https://doi.org/10.1007/BF02465173

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