If you throw some data at a clustering algorithm, the clustering algorithm is guaranteed to give you clusters back. So I'm not convinced about the results suggesting a precise pattern of rapid aging.
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Anecdotally I feel I noticed a very fast ageing speed between 38 and 40. Suddenly got white hairs, feel more tired, more wrinkles, way harder to keep VO2max up (I run a lot), muscle sores after training suddenly lasting up to 3 days instead of 1, face looks older, etc.
I feel like that all happened real fast around this age.
It's not just my perception either, other people assume I'm early 20s.
I can't really relate to the physical stuff though because muscle sores after training was always 3 days for me and it was always difficult to keep VO2max up, even in my early teens. So I guess I just started out in middle age.