Question:
Since I am not a cryptographer and my cryptography classes gave me killer headaches, this question may have an obvious answer that i am not aware of.
I would like a way to change the private key of a public address, for this you'd of course require the current private key. Is this at all possible?

Why is this useful you ask?
Untraceable transfer of bitcoins.
Why would we want that you ask?
Financial privacy.

Would love to hear from those who have something meaningful to contribute