…There is and has been no problem with who "Measures" tick rate. You and James R seem to choose to repeatedly ignore the issue and that is not who "Sees", "Percieves", "Observes", etc but what is the physical reality when compared in a common rest frame
I (and reasonably sure James too) have no objection to computing Tick Rates as measured with clocks of a prior rest frame although I do prefer to speak of “time dilation,” TD, as not all clocks “tick” (and on this we agree, but as I try to be completely accurate I speak of TD, not tick rate.)
I try to avoid the words “see”, “observer” “perceive” etc. as they at least suggest the possibility of errors due to the propagation of light delays. Inherent in any measure of the TD of a clock from another frame than the clocks frame is that only one of two events (start & stop events of the interval being measure) can be adjacent to you in the other frame so one of them is at some distance from you and signal/ information/ light /etc. delays from it must be corrected for.
As far as for “physical reality” you assert /assume (whatever word you like) that it must be calculated for the clocks of the common rest frame (the most recent one, if more than one exists) and as there is only one actual / physical TD for clock A, or TDA. According to you, but not SR, all other frames would measure that same TDA, if they measure correctly. You accept the SR formula for calculating the TDA,
provided that the velocity plugged into it is the velocity wrt this most recent common mutual rest frame, which I have started calling the CMRF or just frame C. I.e. you insist that one must insert VAc into the SR formula.
Pete, James and I disagree as we insert the velocity wrt any inertial frame, for example frame E’s velocity of clock A (VAe) into that same SR formula and so do not get the same result as the one you insist is the true physical unique TDA. For you, there is no need to call it TDAc as for you it is the unique physical TDA and all others that Pete, James and I calculate with for example VAe are just wrong / nonsense.
Because we disagree, think SR is correct, we cannot just speak of the TDA, but must use more careful notation which specifies the frame of the clocks used in the formula. If they are the clocks of CMRF or C, I speak of the TDAc. If they are the clocks of frame E, I speak of the TDAe, which is not the same as TDAc
I think you agree that when one tells what the rate of some changing observable is, they ALWAYS use their own clocks. For example if I want to tell the speed of a fast ball, bullet or train, I divide the distance it traveled by the number of seconds the trip took according to MY clocks. I do not divide by the seconds the trip took with seconds of the clocks of someone else’s frame, especially if I know that frame’s clocks are “running slow” wrt mine. (and you agree that such frames do exist.) Again: Everyone always uses their own clocks to measure or state the rate of anything, including the rate time is passing in some other frame. Why is TDA, for you, an exception to this rule? I.e. if I am at rest in frame E, why must I use the clocks of frame C (frame CMRF) to state correctly the TDA? Why can I not use my own clocks and find it is TDAe, which is different from TDAc? What is false about stating the rate of clocks in some other frame wrt MY clocks? Why must I state the rate of clock A which is not fixed in my frame E wrt to clocks of some other frame you specify?
Your insistence on the use of only the time / clocks of frame C for all other is based on what?
I think the answer to that is that you are sure there is only one physical TD and it must be computed only with the velocity wrt frame C. But MacM, that is what the entire discussion is about. Whether or not TD depends upon the clocks of the frame specifying what it “really is” is the question we are discussing. You are attempting to prove that TD does not depend upon the clocks of any frame but frame C (the CMRF) but that is just what you start by asserting or assuming. –Namely that TD does not depend upon the frame specifying what it truly is. Thus, as I stated before your reasoning is circular – You cannot assert /assume what you want to prove. Refusing to use TDAc or TDAe etc. only hides/ glosses over/ your assertion / assumption that there is only one true, physical, unique, TDA for all frames. You cannot prove anything with circular reasonin.
MacM;2314611…You algebra adds nothing but confusion. Your algebra changed nothing. … You have changed or answered nothing here. [/quote said:
I don’t think, and certainly hope you are not really objecting to the use of algebra, by insisting that I only use words etc. I think you are really objecting to my introducing symbols, especially when they expose the fact you are ambiguous, not clear, with your words only. I.e. with the subscript, I specify which frames clocks are used. For example I used TDAe and you at best only use TDA, often only the words Time Dilation” never specifying wrt to which clocks. You just assume that it not matter and speak of the universal, unique, physical time dilation as you assume it is the same for all frames. Then you proceed from this starting point to argue that it is the same for all frames.
…Why do you only apply SR to an observer that has switched frames? …
I don’t do that. I apply SR to both frame from the other. SR is completely symmetrical with no special frames as you postulate the CMRF is unique. In fact I even told how each frame can measure the TD of the other frames clocks in post 195 as I remembered it having been done as follows:
“…an atomic clock was carried for a few hours in a supersonic jet years ago to measure the time between two events. The interval was also measured by synchronized ground clocks. I forget the details but perhaps at each event location there were high resolution pulse coded time patterns transmitted to the plane flying over head at constant altitude. I.e. the instant of arrival at the plane of a particular pattern was known to a tiny fraction of a micro second and these served as the start and stop pulses for the accumulator on the plane, as well as on the ground.”
SR can be applied even when there never existed a CMRF, but the “MacM SR” is useless then. As most of the clocks in the universe (I am sure your will agree) are natural clocks such as objects periodically orbiting a star or radioactive isotopes decaying, it is safe to say the far fewer than 1% of all the clocks that exist ever had a common rest frame in the last 10 billion years.