 However, in analyzing quantum states and black holes, physicist Don Page writes that "determining experimentally whether or not information is lost down black holes of solar mass ... would require more than 10 measurements to give a rough determination of the final density matrix after a black hole evaporates".The end of the universe via Big Freeze without proton decay is expected to be around 10 years into the future.In a separate article, Page shows that the number of states in a black hole with a mass roughly equivalent to the Andromeda Galaxy is in the range of a googolplex.