I think the situation here can be resolved using an analogue of the limiting behavior of functions in mathematics. If, from the perspective of the beings simulated, nothing happens when the simulation turns off for an arbitrary amount of time (call this number n), then as n approaches infinity, the simulation beings’ consciousness will still continue. (If a function f(x) = c for all real x, then the limit of f(x) as x approaches infinity will also be c.)
I think the situation here can be resolved using an analogue of the limiting behavior of functions in mathematics. If, from the perspective of the beings simulated, nothing happens when the simulation turns off for an arbitrary amount of time (call this number n), then as n approaches infinity, the simulation beings’ consciousness will still continue. (If a function f(x) = c for all real x, then the limit of f(x) as x approaches infinity will also be c.)