The discussion centers on the lifespan of solid planets in relation to their stars, particularly focusing on the Sun's lifecycle. It highlights that unless a planet experiences a catastrophic event, such as a mega-collision or significant tidal drag, it can survive until the Sun enters its red-giant phase and eventually becomes a white dwarf. Larger stars may go supernova, potentially impacting nearby planets, but if they survive, those planets can continue to orbit the stellar remnant. The conversation also touches on the probability of planets existing around various stars in the galaxy, emphasizing that planets can exist indefinitely without self-dissipation. Overall, the longevity of planets is largely independent of their star's lifecycle, barring extreme cosmic events.