Many-Worlds Interpretation of Quantum Mechanics: A Logically Paradoxical Picture

The many-worlds interpretation (MWI) of quantum mechanics is studied with a logical argumentation based on the existence of semi-deterministic parallel worlds in the interpretation. An endless ensemble of infinite copies of a specific quantum state is considered for implementing a certain measurement. It is shown that the set of parallel worlds created by the consecutive observations is theoretically identical to the unit segment [0, 1], wherein the rational numbers represent the parallel worlds in which Heisenberg’s uncertainty principle is thoroughly refuted. Despite being of a Lebesgue measure null set such a bizarre collection of parallel worlds practically exists in the ontology of the MWI and has infinite elements. We will establish that this existence creates an inherent paradoxical picture in the MWI. By studying the analytical details of the mentioned collection and evaluating the approvement or refutation of the existence of the present world where we live from the scientific insight of the sentient beings of the other parallel worlds it is established that an inevitable consequence of the MWI is that the world where we live is an unreal illusion. Keywords: Many-Worlds Interpretation of Quantum Mechanics, Semi-Deterministic Worlds, Reference Worlds, Logical Values.