Inspired by assertions (in this thread) that the human ‘self’/identity requires continuity (and that interruption of the process is death, and that even a perfectly-copied restoration of same process would be a counterfeit)…
In Larry Niven’s Known Space fiction, there’s a device called a Stasis Field. When activated, everything inside the field stops happening - nothing can enter - not even light (the field appears enclosed in an impenetrable silver bubble). All processes inside the field are completely suspended - no mechanical action or movement happens, no molecular or atomic or subatomic processes progress at all. Photons in transit inside the field are put on pause. Everything stops. It’s not clear whether time itself is paused inside the field, although this might be a moot point if all of the means by which time could possibly be observed or measured are suspended.
When the field is turned off, everthing resumes on its previous course as if nothing had happened (which in a sense, is true), effects still follow causes regardless if that cause was before the field event.
So, what happens to a human inside the field. The field suspends all of the ongoing processes in their body, including the brain, so for the duration of the field activation, their consciousness has utterly ceased. When the field drops, all of the electrochemical actions in the brain resume as if nothing has happened.
But there has been a break in the subject’s consciousness. Were they dead? Is the person who steps out of the field the same person who went in?