I can't say I've seen this particular spin on immortality.
The closest I can think of is the "uploading" of a person / sentience into some form of computer as an "elevation" of humanity and method to become immortal. One series of books that explores that a bit is Peter F. Hamilton's Commonwealth books. It is certainly not the focus of the series. Unfortunately, it's not till the second series (the Void Trilogy) that it really comes into its own but the first two books (Pandora's Star and Judas Unchained) are excellent and do include some hints of it.
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