fictional time travel idea i've had for a while:

a machine makes a snapshot of the world in a period in time and simulates it

let's say it took a snapshot in 2015, and a person wants to see 2016, the machine simulates 1 year of time in a few seconds to catch up, and there would be zero difference to what actually happened in reality until a person from reality interacts with the simulated world

how the machine works or looks like, i have no idea :D

i wonder if i can make something with this idea?