The temperature at the time of the Big Crunch is expected to mirror that of the Big Bang, potentially reaching the Planck temperature of approximately 142 million million million million million Kelvins. At this extreme temperature, atomic structures would not be able to exist, making the survival of any life forms impossible. The discussion emphasizes that the conditions during the Big Crunch would be inhospitable to life as we know it. Ultimately, the Big Crunch signifies a return to a state where life cannot endure.