Authors: ChiYi Chen
In this paper we firstly present an explicit dynamical equation which satisfies the general principle of relativity under the framework of classical mechanics. In light of this fact, the necessity of Einstein's equivalence principle for the gravity being geometrized should be reexamined. Especially, Einstein's (strong) equivalence principle claims that the inertial force is equivalent to the gravitational force on physical effect. But in fact the new dynamical equation proves that the essence of the inertial force is the real force exerted on the reference object, which can actually be all kinds of forces such as the gravitational force, electromagnetic force and so on. Therefore, in this context we only retain the numerical equality between the inertial mass and gravitational mass and abandon Einstein's (strong) equivalence principle. Consequently, the candidate for the standard clock should be corrected into the mathematical clock which duplicates the real clock equipped by the observer himself. Then an adjusted physical picture for how to convert the gravitational force into a geometric description on space-time is presented. On the other hand, we point out that all cosmological observations are made by the observer at the present time on the earth, instead of any other observers including the comoving observers in the earlier unverse. On this basis, we introduce an extra factor $b(t)$ in $FRW$ cosmological metric to depict the gravitational time dilation effect since the local proper clock may run in a faster and faster rate with the expanding of the universe. In this way, we may obtain a positive value of $\rho+3p$ and avoid the introduction of dark energy in the current universe.
Comments: 9 Pages.
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[v1] 2013-07-07 07:36:28
[v2] 2013-10-10 07:48:59
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