In the example of two objects moving towards each other say at $0.5*c$ starting with synchronized clocks (edit: say synchronized by a third frame, like earth). it is understandable that each object observes the other object time being dilated relative to its clock (reciprocal dilation).
Am still struggling with one point though, when the objects pass each other and if they were able to exchange their clock information (e.g. number of ticks), what numbers will they observe?
- Would both see the same number? if so how does SR explains the lack of dilation.
- Or still observe dilation relative to own frame? How would one object send a value $y$ yet still observed by the other object as $y/\gamma$
Am trying to avoid introducing acceleration or direction change to avoid changing frames.