About 3 months before the end the solar system would become undone. About 30 minutes before that the Earth would explode. And about 10^-19 seconds before the ultimate moment of doom, atoms would be pulled apart

Hi! I never quite understood this... what do you mean by 3 months, 30 min, 10^-19s? Is this the time measured by my local clock? General question is: What would happen to time dimension in such a fast accelerating universe? Cheers Jarek