3. Show that if $A^\mu = (A^0, \vec{A})$ is a timelike vector, it is always possible to find an inertial frame in which $\vec{A} = \vec{0}$, so that $A'^\mu = (A'^0, 0, 0, 0)$ has only the time component different from zero. Is this frame unique? What is the geometrical meaning of this theorem in a Minkowski spacetime diagram?
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In special relativity, a frame of reference is a coordinate system that is used to describe the motion of objects. It consists of a set of axes and a clock that are used to measure distances and time intervals. Now, when we talk about a "unique" frame, we are Show more…
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