Information-Theoretic and Spacetime Constraints on Ontological Branching in Quantum Mechanics: A Physical Refutation of MWI.

Description: This research provides a rigorous physical deconstruction of the Many-Worlds Interpretation (MWI) of quantum mechanics by shifting the focus from mathematical formalism to the fundamental constraints of physical reality. While MWI is often celebrated for its avoidance of the collapse postulate, this paper demonstrates that its core mechanism—exponential ontological branching—imposes requirements that violate established physical laws. Key Arguments Presented: * The Energetic Barrier (Landauer’s Principle): The work proves that if branching is a physical process, the creation of each distinct branch entails a thermodynamic cost ($\Delta Q \geq k_B T \ln 2$). The exponential proliferation of worlds would require energy exceeding the total mass-energy of the observable universe. The Information Ceiling (Bekenstein Bound): By applying the Bekenstein-Hawking entropy limits, the paper demonstrates that a finite universe cannot accommodate the infinite information storage required for distinct branch records. The Infinite Gap Theorem ($\infgap$): A formal proof showing the fundamental discrepancy between the infinite precision of mathematical Hilbert spaces and the finite representational capacity of physical systems. The Paradox of Macroscopic Superposition Cost: An empirical analysis showing that the extreme energy and operational difficulty required to maintain quantum coherence in laboratories contradicts the "cost-free" world-splitting assumed by MWI. Conclusion: The study concludes that MWI is a mathematical ghost-theory; the "Many Worlds" it predicts are informationally and energetically unrealizable within a finite physical manifold. Keywords: Quantum Foundations, Many-Worlds Interpretation, Information Theory, Landauer's Principle, Bekenstein Bound, Decoherence, Quantum Thermodynamics.