Impossible to Prove Time is Real What the clock measures is change. The measurement of change is time, like the measurement of space is length. Clock is to the ruler as time is to length. — Harry Hindu
The clock is not what the ruler is to distance. An odometer would be more appropriate to compare the clock with. The numbers on the clock represent the time passed, the number of times the clock has tic-tac-ed. A An odometer does the same with distance. It's number given corresponds to the amount of distance traveled. The ruler just points to the points in spacetime. This corresponds to the hand of the clock only, or, say to the pendulum swinging below it, or a metronome. So the pairs clock-odometer and pendulum-ruler are appropriate.
Time doesn't measure change. It's a number, represented on the time axis, and by an imaginary clock we put besides an irreversible process. It is itself based on a reversible periodic motion and is as such imaginary. No reversible periodic motion exists in nature (except for the situation around the big bang). So there doesn't even exist a reliable measure for the alleged measuring. How do you measure change by a clock if the change
is time? If the clock next to a process indicates that the process has proceeded two hours instead of one hour, is the change twice, what does the clock measure? It indicates a value, (an imaginary value, as the perfect clock doesn't exist), you can put in expressions that describe the evolution of the process, which by itself
constitutes time. All processes are irreversible, so the artificial recreation, transformation, of time into a clock is turning time into a non-existent process. Time as represented by the clock is a chimera.
It comes in handy though for describing another more realistic time, i.e, irreversible entropic time and only at the begin state of the universe it had a real existence. It was all that existed, in fact. If we could place that initial state besides a process, we would have the ideal clock. We couldn't say though if that clock was going backwards or forwards.
Pretty far fetched, but hey, it's a philosophy site. Ah! 1 o'clock. Coffee time!