Tournesol said:
No you can't. What you can do is replace each 't' with a variable which represents the state of a clock. ...
Any competent highshool algebra student will confirm that I can
totally eliminate one variable from a set of N equations with n variables and produce a seti of (N-1) equations with (n-1) variables, but I will do you the curtisy of assuming that you did not really mean to state that I could not.
Let me give a physical example with two equations only. (I find that actual examples help avoid the nonsense that abstract words, especially philosophical jargin, can produce.)
Suppose a marble is falling down in Earth's gravity field thru some viscus oil. And further that in some set of units, its vertical location, Y, is Xo - t.
As it steadily falls in the gravity field, its potential energy, P, is decreasing and the oil is betting slightly warmer to conserve energy. Again chosing units to keep the equations simple, I can describe this changing potential energy as P= Yo -t, where Xo and Yo are constants. Now a standard theorm of algebra is that equals can be subtracted from equals and the results are still equal. That is, Y-P = Xo - Yo. or P = Y + Yo - Xo. a not too surprizing statement that the potential energy is directly proportional to the location variable Y, but not equal to it in these units.
Note that there is no longer any reference to the time variable t and only one equation.- precisely what yous said was not possible. Time is not necessary to describe what is changing, how it changes, etc. Again, this is because, Time does not exist.
Please, in this simple example, tell me where and which variable I "replace each 't' with a variable which represents the state of a clock."
I don't mean to be hostile, cruel, etc. but you are just simply wrong, as any competent high school student of algebra knows. I can eliminate any reference to time from all descriptions of all the changing sequences of events in the universe, at least in principle. I do not need to
"replace the time variable" with anything related to a clock.
I will however agree that you can claim that my body aging etc is a "form of clock", but as the frozen chicken question implies, I might be able to make any of your "repacment clocks" RUN AT A DIFFERENT RATE. For example if I eat right and work out for the next three months, my "body clock" will run at a different rate. WHAT SORT OF "CLOCKS" ARE THEY IF
ALL RUN AT DIFFERENT RATES?
To return to the specific marble falling in oil example, let me cool and heat the oil in a erratic way. Is the falling marble a "clock?" - Note that even with this erratic heating, it is still true that P = Y + Yo - Xo, that is, only your "replacement clock" is silly, not my discription of the universe.