Tom,
"The physics of synchronized spring powered clocks is identical to two objects in simultaneous free fall in a gravity field. They fall (or tick) at the same rate."
I said nothing about being in a gravity field. I said that if one is simply manufactured to tick faster, it uses energy faster.
The point being that if time were a vector from past to future, much as a spatial dimension goes from point A to B, wouldn't faster clock move from prior events to succeeding events quicker than a slower clock? Just like a faster car gets to point B quicker.
Yet they both still exist in the same reality and arrive at their subsequent meeting together.
Now consider that link you sent me to the Feynman paper on least action. The faster clock is like a non optimal trajectory, in that it(s atomic activity) rushes around while getting from point A to B, while the slower clock leaves A and arrives at B at the same time as the faster clock, with less atomic activity. The reality is that faster clock and slower clocks still exist in this state of the present, just that faster clocks burn more energy.
Regards,
John M