Of course, and according to string theory: we're the result of vibrating one-dimensional strings (because they are vibrating, it could be said that they are always changing) 
However, does A disbecome A from something as simple as a missing ink-dot? Nope
Nor does a sword disbecome itself due to a slight change of weight? Not at all.
Are both of them redefined slightly from any change? Of course. but that definition is never more or less than itself because of any change.
I am still me... even if I turn green and grow sprouts out of my head
"I" and "me" are now somewhat differently defined... but they will always be equal to themself 
What you are referring to is The Change as a Result of The Difference... specifically The Change to The Identity as a Result of Difference
Okay, the names might need a little work...

However, does A disbecome A from something as simple as a missing ink-dot? Nope

Are both of them redefined slightly from any change? Of course. but that definition is never more or less than itself because of any change.



What you are referring to is The Change as a Result of The Difference... specifically The Change to The Identity as a Result of Difference


Please give me a home where cloud buffalo roam
Where the dear and the strangers can play
Where sometimes is heard a discouraging word
But the skies are not stormy all day