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in 4-space, the position isx=(x_{0},x_{1},x_{2},x_{3}), where x_{0}=ct

The question is -

Can one define the clock rate in the frame of the object at rest as

local clock rate = [itex]\frac{x_{0}}{t}[/itex] = c

Then all objects, moving with respect to this frame will have clock rates less than c.

E.g., a position within another frame of reference isx'=(x'_{0},x'_{1},x'_{2},x'_{3}), where x'_{0}=ct';

Then the clock rate of the 'other' (primed) frame as perceived from the laboratory frame is = [itex]\frac{x'_{0}}{t}[/itex] = c(t'/t) < c

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# A clock rate equal to c?

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