A star too small to go supernova, like Sol or Alpha Centauri, would not go supernova even if its core vanished, as the remaining mass would lack sufficient gravitational attraction for a rapid collapse. The discussion highlights that the core's disappearance is a hypothetical scenario that doesn't occur in nature, and any inward spiraling matter would likely cool rather than trigger a supernova. The gravitational collapse necessary for a supernova requires a runaway effect, not just the collapse of the star's envelope onto an empty core. Additionally, a black hole interacting with such a star would disrupt its outer layers, preventing a supernova from occurring. Ultimately, the conversation emphasizes the importance of understanding the physical processes behind stellar explosions rather than engaging in implausible scenarios.