The Information-Theoretic Paradox of the Many-Worlds Interpretation

This work presents an information-theoretic critique of the Many-Worlds Interpretation (MWI) of quantum mechanics. While MWI preserves unitary evolution by postulating branching universes, this paper demonstrates that such an ontology leads to fundamental informational inconsistencies when analyzed under established physical information bounds. Using tools from quantum information theory, the study identifies three core dilemmas: (i) exponential information inflation due to branch proliferation, (ii) the requirement of unexplained inter-branch coordination to reproduce quantum interference, and (iii) geometric information incompleteness within individual branches. It is shown that these issues place MWI in tension with the Bekenstein bound and the holographic principle, unless non-physical hidden communication mechanisms are assumed. A detailed information-based analysis of the double-slit experiment is provided to illustrate how individual branches fail to account for observed interference patterns. As an alternative, the paper proposes a Limited Information Interpretation, in which quantum states are treated as information-limited descriptions rather than ontologically distinct worlds. This framework preserves empirical predictions while respecting fundamental information constraints. The results suggest that information theory offers a decisive criterion for evaluating quantum interpretations and challenges the physical plausibility of unrestricted branching ontologies.