The transformation is the resurrection.

We become a new creation, a transformation of what was to what is.

Hans Kung speaks to this in Eternal Life:
Is it then a bodily resurrection, a raising up of man with his body? yes and no. No, if we understand "body" in physiological terms as this actual body, the "corpse, " the remains." Yes, if "body" is understood in the New Testament sense as "soma," not so much physiologically as personally: as the identical personal reality, the same self with its entire history, which is mistakenly neglected in the Buddhist doctrine of reincarnation, even though the latter stresses the new (admittedly earthly) corporality. When we talk of the resurrection of the body, we mean then as the Catholic theologian Franz Josef Nocke expresses it, "that not only man's naked self is saved through death, when all earthly history is left behind, all relationships with other human beings become meaningless; bodily resurrection means that a person's life history and all the relationships established in the course of this history enter together into the consummation and finally belong to the risen person." (Eternal Life, Doubleday, 1984, p. 111).