Acoustic pressure waves can determine interior structure, not age. So why did the people who wrote this paper try to connect the two?
What is even more ironic is that the helioseismology page on Wikipedia shows a computer generated picture of the Sun's acoustic wave vibrations. Notice how they neglect the interior (which is the bread and butter of the supposed "fusion model").
This is because they can use acoustic waves to determine if there is a core or not, and they didn't find one. Shhhhh, don't tell anybody. There was actually a paper written by some English/Russian authors which debunked the fusion model based on helioseismological findings...I'll have to find it, after all, it was buried very deeply by those who had their credentials on the line. Dirty, dirty little secrets...