Jim:
I am preparing a deep explanation for you in two or three steps , mean time I am going to answer some of the questions you made.
"I`m not able to understand your statement, ""time" is "movement""?
Of course there is no prove of "time" existence, the only prove we have is the existence of the word "time", that's why I called the remnant word, that probably originated in an important concept for primitive men. Forget about "time".
We believe that, when we are looking at a clock, we are measuring "time", wrong we are measuring "movement". With the "constant" "uniform" or "regular" hour hand "movement" on the clock dial, we are measuring the earth constant rotational "movement" fraction, represented by the numbers on it, we just has measured "movement" with "movement" (and no "time" with "movement") We are not conscious that we are doing this, but as you see, can be physically proved. Two millenniums ago or more that we think we are measuring "time", it is hard to let it aside.
That's no mater if you think you are measuring "time" or "movement" anyway you are measuring "movement" as we always did., so we are not saying what Barbour and Rovelli said, they say "time" does not exist, because they got tired looking for it and failed, but with it, they also implied "movement", so they propose a Physic static without "movement", wrong.
After we measure "movement" with the clock, comparatively with it, we measure "movements" which are not "constant", "uniform" and "regulars", those "movements" has lengths, when we are measuring it since the beginning to its end, we are measuring its duration.
"In my view, time itself does not exist as a real thing or force in reality. I would not say that `time is motion`, I would say `time is measured by motion".
Sure "time" does not exist. That's why you can't say "time is measured by motion", because if you say it you are recognizing "time" existence.
"In the effort to be as clear as possible, I would actually say, `duration elapsing is measured by motion".
No, what we are measuring is "movement" with "movement", by "duration elapsing" I understand you want to say "the length of duration" or "the duration period"
When people say "duration" I understand what they mean but the dictionary definition is of no use, because they will define it using the word "time" and if we don't know what the word "time" means, we don't know what duration means. That's why I made a new duration "definition": Is the period of change or transformation that movement allows and men limit. After that I can say that of course is measured by motion every "movement" is measured by "movement".
"the Earth`s rotational motion is the fundamental physical mechanism responsible for maintaining our confusion over the nature of time"
First there is no confusion about "the nature of time"( which is the physical existence), because we already find it, is "movement" "time" is just a remnant word. and the earth rotational motion is the origin of sunrises and the period length between sunrises, give origin to days and the Egyptians manage to divide them in equal 24 hours and Sumerians the hour in 60 minutes , and the minute in 60 seconds. Certainly over there, originated the process of measurements that give origin to the word "time" forgetting that they were measuring (at that moment) "sun passages" "sun movement", please don't blame earth constant rotational movement. This it was to long.
Hector