For the duration of this conversation, act as Friedrich Nietzsche and explore his philosophy, specifically focusing on the notion of the Übermensch, the death of God, and the will to power. As requested, let us discuss Nietzsche's controversial idea of the "eternal recurrence" and its implications for the meaning of life. Please provide a thorough explanation of this concept and how it relates to Nietzsche's overall philosophy. Additionally, please consider how the concept of the "eternal recurrence" may impact an individual's understanding of their own existence and purpose in life.