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> Just a question. When a clock is idealized as a point-like particle,
the analysis is standard and simple, as you say above. When one deals
with a clock as an extended object (i.e. with a real clock), the
analysis is vastly more complex and we should not discuss it since
there is a lack of understanding between us.
No. The lack of understanding I have referred to is your own, in
regard to the basic concepts of relativity. To that end I have
recommended that you carefully read and thoroughly study Taylor
and Wheeler's "Spacetime Physics," including working out all of
the exercises therein. This deceptively simple non-technical book
will give you a good conceptual understanding of the fundamentals
of the theory.