广义相对论的等效原理和经典力学方程的不变性
Principle of Equal Effects of General Relativity and Invariance of Classical Mechanics Equations
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摘要: 本文根据广义相对论中引力与惯性力的等效原理[3],论证了经典力学非惯性系中的“惯性力”并非虚拟的力,而是非惯性系形成的加速度动空间场的场力,而且是有势力,是真实作用于作相对运动物体上的主动力.由此推出了非惯性系内的Lagrange等动力学基本方程,进而说明这些方程无论对惯性系还是非惯性系均普遍适用,它们具有不变性,并阐明了这种不变性对经典力学的理论及应用的意义.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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Key words:
- relative motion /
- inertial force /
- generalized force /
- invariance
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[1] 梅凤翔,《分析力学基础》,西安交通大学出版社,西安(1987). [2] 梅凤翔,《非完整系统力学基础》,北京工业学院出版社.北京(1985). [3] Bergmwnn,P.G.,Introduction to the Theory of Relativity,New York(1958). -
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