The discussion centers on the implications of constant acceleration in the context of special relativity. It establishes that if a body accelerates with constant acceleration in an inertial frame of reference S, there cannot exist another inertial frame S' moving at speed u relative to S where the body does not accelerate. This conclusion is supported by the transformation of acceleration between frames, which indicates that constant acceleration in one frame results in non-constant acceleration in another. The principles discussed apply to both special relativity and Newtonian mechanics.
PREREQUISITESPhysicists, students of relativity, and anyone interested in the foundational concepts of motion and acceleration in both special relativity and classical mechanics.
Is that something you could work out for yourself? Using the transformation of acceleration from one frame to another, perhaps.LagrangeEuler said:Thanks. And can exist inertial frame of reference ##S'## in which acceleration is not constant if in the system ##S## acceleration is constant?
Yes, exactly.LagrangeEuler said:I think that if one system acceleration is constant in the system that moves with velocity ##u## relative to this one acceleration will not be constant, because in formula for acceleration is velocity of moving object that changes from point to point.