Infinity and Uniqueness Why Repetition Fails in the Many Worlds Interpretation

This paper challenges the widely held belief in the Many-Worlds Interpretation (MWI) of quantum mechanics, which posits that an infinite multiverse guarantees the repetition of identical universes. Instead, we draw on principles from chaos theory, combinatorics, and measure theory, to argue that even within an infinite multiverse, the probability of encountering an identical universe is effectively zero. Instead, we propose a multiverse characterized by infinite variety, where each universe evolves uniquely due to the sensitivity of initial conditions. This argument not only refutes the MWI's concept of repetition but also has profound implications for the philosophy of identity, individuality, and free will.