A Subtle Way to Realize the Dynamical Relativity

From the viewpoint of causality principle we reinvestigate the problem of dynamical relativity. We suggest that the counting of forces should also be relative so as to keep the consistency with the relative description for kinematical quantities. We propose a principle of causality consistency for the dynamical equation. Then we carry out a new general principle of dynamical relativity in a subtle way, where the dynamical equation can be exactly applied in any reference frame and the essence of inertial force can also be naturally explained. Besides, our new approach to realize the general principle of dynamical relativity can also be reconciled with relativistic reformulation but only the substantial meaning of the force is changed. The total counting of forces should be changed into a relative counting of forces. In this way, the new formula of dynamical equation (9) is expected to replace the Newton’s second law in classical mechanics since the special status for inertial reference frame is ultimately removed. PACS number(s): 98.80.-k, 95.10.-a