In a hypothetical scenario where a ball is resting on a table inside a spaceship with no external gravitational forces, the existence of a normal force is debated. Some argue that without any forces acting on the ball and table, there would be no normal force, while others suggest that the gravitational attraction between the two objects could create a minuscule normal force if they come into contact. The discussion highlights that normal forces are not solely dependent on gravity, as they can arise from other interactions, such as molecular forces. Additionally, the conversation touches on the complexities of forces in a zero-gravity environment and the importance of understanding the underlying physics principles. Ultimately, the consensus is that without weight or external forces, there would be no measurable normal force.