I have recently been asked if I still believe what I said in my 1971 paper, "Resolution of the Clock paradox" (Physics today, 24, 23 (1971)), in which I presented rigorous logical and mathematical arguments that reject the conventional acceptance of the relation of motion to aging of a physical entity in relativity theory. I said that I still believe what I said in the article. In a subsequent issue of the journal, letters to the editor were published that tried to refute my article (Physics Today 25, 9 (1972)); I responded to all of them.
What the respondents failed to recognize or mention was my main claim: that the letter 't' in the formulas from special relativity, such as the Lorentz transformation, that require a contraction of the time measure in a moving reference frame, is not a physical process, such as the physical aging of a human being or the unwinding of the spring of a clock! Rather, 't' represents an abstract measure of time, such as the reading of the hands of a clock, not the physical unwinding of the spring behind the face of the clock.
I would like the reader to consider doing the following. Go into a dark room without any interference from another person. Sit in a relaxed position and ask yourself this question: Do you really believe that if a physical body A moves relative to another physical body B, that A's rate of aging is retarded relative to B's rate of aging, by virtue only of A's motion relative to B? I would respond as Newton did to his own rejection of the concept of 'action at a distance' in his theory of gravitation: "Action at a distance through a vacuum, without mediation of anything else by and through which their action and force may be conveyed from one to another, is to me so great an absurdity, that I believe no man who has in philosophical matters competent faculty of thinking, can ever fall into it" (letter to R. Bentley III, 1693. See E. A. Burtt, 'The Metaphysical Foundations of Modern Science' (Anchor Books, 1954), P. 266.
The "absurdity" of the clock problem is that (as Galileo discovered, 400 years ago) motion, per se, is a subjective, qualitative feature in the description of matter, it is not an absolute objective quality of matter. That is, it is just as true to say that B moves relative to A as it is to say that A moves relative to B. Thus, if A's rate of aging decreases relative to B's aging, because of its motion relative to B, it is also true that B's rate of aging decreases relative to A's aging, because of its motion relative to A! (Galileo commented that it is just as true to say that the earth moves relative to the sun, (as Copernicus discovered), from the sun's perspective (i.e. frame of reference) as it is to say that the sun moves relative tlo the earth, from the earth's perspective!) That A and B are both aging less than each other is a logical paradox, and thus unacceptable as a scientific statement!
In 1895, Einstein discovered that to maintain the objectivity of the law of nature in all reference frames (this is the basis of the theory of relativity, called 'the principle of relativity') the time measures in moving frames, relative to any fixed observer, must be contracted in the expressions of the law of nature in the different moving reference frames. But this did not mean that the physical aging of the body in the moving frame is affected by virtue of its motion!
In his later years, Einstein appears to have changed his mind about his original 1905 assertion when he said: "Strictly speaking, measuring rods and clocks would have to be represented as solutions of basic equations,(objects consisting of moving atomic configurations), not, as it were, as theoretically self-sufficient entities." (Autobiographical Notes, in Albert Einstein: Philosopher – Scientist, Open Court, 1949, P. A. Schilpp, editor).