... How can one measure time itself? It cannot be done, because time does not have measurable physical properties, apart from having emerged along with physical space.
I liked" your post 15 and Maxila's comments on it in post 16. Time is not observable as it has no property to observe or measure. It is not like mass as was earlier suggested as mass does have properties - makes a observable gravitational force field and resists acceleration.
Time is just a parameter in many equations. For example how many dollars you have when invested with interest compounding, or many of the equations of physics. In principle all of physic could be described without any reference to the "t parameter" but using it makes descriptions easier as one need not be specific as to which pair of observable changes are being compared.
For clarity consider a standard candle burning down: There is an equation H(t) = Q1 which gives its height, H, without explicit reference to the clock telling how "t" in the equation Q1 is advancing. I.e. there is another equation, Q2 that tells, for example the number of flex cycles, N(t) of the crystal in your Timex watch between the start of candle burning and the end of that. N(t) = Q2 where t does appear in the equation Q2.
Both these equations can in principle be "solved" to give t = Q1' and t = Q2.' There will be of course an "h" in Q1' and an "n" in Q2.' The lower case letter (h or n) indicates the variable which is considered to be the "independent" one. Then as equals are mutually equal we have (with the time parameter totally absent):
Q1' = Q2' a direct expression of the height of the candle, H, as function of the number of crystal flex cycles, N. I.e. with a little algebra, we know both N(h) and H(n), where the lower case letter (h or n) indicates which variable is considered to be the "independent" one.
Not only does time not have any property - ergo does not exist and can not be measured; it is not even necessary in a complete description of the universe, just very convent, because using the "t-parameter" allows one to leave vague which clock is being used to describe how t is advancing /changing.
In ancient times the "clock" was the duration of the day (or integer fractions thereof), or new moon till next new moon. Now technology has removed any natural assumptions as to what "t" is referenced to - Now t is just an abstraction. This has further weakened any claim that time is real. No abstraction is real.