Abstract
The uniformly accelerated motion is studied in the framework of gauge theory of gravity. It is found that, when an inertial reference system is transformed into a uniformly accelerated system by a local gravitational gauge transformation, a non-trivial gravitational gauge field appears. If there is a mass point in the new reference frame, there will be a non-trivial gravitational force acting on it. The nature and the characteristic of this new force are completely the same as those of the traditional inertial force. This new gravitational force is considered to be the inertial force. Therefore, the nature of inertial force is gravity, which is the basic idea of the equi-valence principle.
Highlights
According to the Newton’s second law of motion, when there is an external force F acted on a mass point m, the mass point will be uniformly accelerated along the direction of the external force
Through the study in the above chapter, we found that there exists non-trivial gravitational field in the uniformly accelerated reference Σ
Through discussions in this paper and literature [32], we know that, if there is an inertial reference with no gravity, a non-trivial gravitational gauge field will be generated in the reference after a Lorentz transformation
Summary
According to the Newton’s second law of motion, when there is an external force F acted on a mass point m, the mass point will be uniformly accelerated along the direction of the external force. The only possibility left is that it is a gravitational force This force cannot be explained in either Newton’s classical theory of gravity [1] [2] or in Einstein’s general theory of relativity [3] [4] [5]. It is obvious that there does not exist such an object near the rocket According to both Newton’s classical theory of gravity and Einstein’s general theory of relativity, the possibility that this force is gravitational force seems to be ruled out. The problem of inertial force is studies in the framework of quantum gauge theory of gravity.
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