There are several arguments for psychological continuity over time (involving memories and personality traits) rather than physical continuity. E.g. teleportation (already John Locke made basically the teleportation argument except with resurrection in heaven) and cases like dissociative identity disorder or similar pathological cases where physical continuity seems largely maintained while personal identity arguably isn’t. There are also hypothetical cases: If consciousness wasn’t tied to atoms, and body swap like in fiction was possible, we would still call it “a person swapping bodies” instead of “a person swapping minds”. Though Boltzmann brains seem to be an argument in favor of physical continuity.
There are several arguments for psychological continuity over time (involving memories and personality traits) rather than physical continuity. E.g. teleportation (already John Locke made basically the teleportation argument except with resurrection in heaven) and cases like dissociative identity disorder or similar pathological cases where physical continuity seems largely maintained while personal identity arguably isn’t. There are also hypothetical cases: If consciousness wasn’t tied to atoms, and body swap like in fiction was possible, we would still call it “a person swapping bodies” instead of “a person swapping minds”. Though Boltzmann brains seem to be an argument in favor of physical continuity.