The potential energy of Earth is not absolute but relative to a specific reference point, which complicates the notion of it being infinite or zero. Potential energy can vary based on the height of an object in relation to a chosen reference point, leading to different values. The discussion also touches on the concept of earthing in electrical connections, suggesting that Earth can absorb charges, which implies a form of infinite potential in that context. Additionally, it is noted that potential energy exists in various forms, including electric and gravitational. Understanding these nuances is essential for a comprehensive grasp of potential energy concepts.