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The basis of the stellar pulsation and evolutionary theories are pretty well understood, but the details vary and there is still a lot to learn. Every star is an example to itself and whilst they should generally follow the basic rules as we know them, it would be foolish to say that we completely understand what's going on....there are always exceptions to the rule and new, surprising things turn up all the time. Even some of the basics are going to change as we learn more about the mechanisms driving the pulsations and how that fits into stellar evolution. Both theories are going to change over time. That is a given.
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