The theory seems plausible.
The idea is that consciousness consists of certain “perturbations” extant in our brains not contained in time/space that “migrate” to some other universe when humans die (what about plants and animals?). This is a theory that the soul lives on, and by extension, can be infused into another body of matter that can hold consciousness.
But why can’t we remember our past incarnations? And if we can’t remember, isn’t it the same as having “died” in the sense of the consciousness going elsewhere that we can’t recover? Or is the secret to immortality the discovery of how we can recover that consciousness, the way we move “trash” in a Mac back to regular memory?