How is that not arbitrary? The choice of how to measure time is arbitrary, not the actual measurement. Your average value based on an unknown process would be much more inaccurate as a unit of time.
Good question;
I assumed that the 'arbitrary' that was being spoken of was code for 'relative to the earth' and that a non-arbitrary measure would, therefore, be 'relative to it self';
Measuring the average number of star cycles the average atom has gone through in the universe, a galaxy, a solar system etc could offer a comprehensible age that may tell us about some of the characteristics of that universe, galaxy or solar system.
But then I'm just thinking out loud... fuckin' astrophysics, how do they work?
My comment is entirely contained in science.
dude... no;
It's like saying that there is no way to know, accurately, how long a ruler is.
Totally false... most 1ft rulers are between 11 and 13 inches; This is an accurate estimation for almost all 1ft rulers made today.
Alternatively: precision, how close to the exact number i can get while still being accurate: well that's limited given how accurate you want to be.
So I could say that every 1ft ruler (or at-least those saying they are 1 ft) are 12 inches long... a VERY precise measure, but I would be totally in accurate! This is because there are almost NO rulers that are EXACTLY 12 inches long.
But just because I don't know if most 1ft rulers are 12.0000000001 inches or 11.99999999 inches does not change that I can give an accurate range.
Similarly we can say the universe is 13.75 billion years, give or take .2 billion years old, within a 95% certainty.