So, Death, as opposed to inertia or entropy, is not something that modern physics is fully equipped to deal with. Physics, by definition, deals with forces and measurable effects. Actually, this would be a stark contradiction in its terms. Indeed, this definition of Death has reality itself to argue against it. The physical system which produced the memory capsule will surely cease to exist - but it will continue to physically impact other physical systems long after its demise, long after it was supposed to have ceased to do so.
Memory divorces Death from the physical world.
Our Death will be fully accomplished only after our memory will have been wiped out completely, not even having the potential of being reconstructed in the future. This issue can be further radicalized. All these representations are registered and mathematically represented in a processing unit so as to allow for a functional, relatively isomorphic mapping. Still, human observes will endow the three dimensional versions with a privileged status. Philosophically, there is no rigorous reason to do so.