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Disproof of the Many-Worlds Interpretation: The Hierarchy of Contradictions and Incompatibility with Foundational Mathematics

Miltiadis Karazoupis

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.2139/ssrn.5380503

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Disproof of the Many-Worlds Interpretation: The Hierarchy of Contradictions and Incompatibility with Foundational Mathematics

Miltiadis Karazoupis

This paper presents a mathematically rigorous disproof of the Many-Worlds Interpretation (MWI) of quantum mechanics. The disproof is constructed as a hierarchy of contradictions, demonstrating the theory's failure at every level of formal analysis. The argument begins by proving the Meta-Paradox at Square One: a twofold axiomatic contradiction that renders the theory's foundation ill-defined. This meta-paradox consists of: (1) the "chicken and the egg" ontological circularity of postulating the universal Hilbert space and the universal wavefunction as simultaneously and independently fundamental; and (2) the contradictory requirement for this one and only Hilbert space to simultaneously embody the mutually exclusive physical properties of a system with a stable vacuum and one with a metastable vacuum. This foundational flaw is shown to generate a cascade of internal mathematical contradictions, proving that MWI's axioms are incompatible with operator theory, thermodynamics, and the mathematical structure of spacetime. The theory is then proven to be structurally deficient and mathematically incomplete. Finally, and conclusively, MWI's foundational tenets-specifically its postulation of a generic, time-symmetric reality are proven to be in direct contradiction with the Principle of Emergent Continuity, which establishes that any mathematically consistent dynamic reality must be time asymmetric and emerge from the fundamental arithmetic of prime numbers. The accumulated weight of these proofs demonstrates MWI's total logical and mathematical incoherence.

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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.

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Quantum Capital: Many-Worlds Interpretation and the Fragmentation of Global Economic Reality

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This paper explores the Many-Worlds Interpretation (MWI) of quantum mechanics as a conceptual framework for understanding fragmentation, uncertainty, and narrative divergence in global economic dynamics. We argue that the logic of Everettian branching –originally introduced to resolve the quantum measurement problem– offers a compelling metaphor for interpreting the proliferation of economic expectations, speculative bubbles, policy contradictions, and systemic crises in a multilateral, post-truth financial world. Situating our analysis within the emerging discourse of narrative economics and cognitive fragmentation, we draw parallels between physical decoherence and economic disconnection, highlighting how modern financial systems increasingly resemble a multiverse of incompatible but coexisting belief structures. We propose that modular tensor categories may eventually offer more refined topological frameworks for modeling such multiplicity. The paper con cludes by outlining ethical and policy implications for re-coherence and the role of observers in navigating global economic multiplicity.

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Interpreting the many worlds interpretation

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This paper presents a mathematically rigorous disproof of the Many-Worlds Interpretation (MWI) of quantum mechanics. The disproof is constructed as a hierarchy of contradictions, demonstrating the theory's failure at every level of formal analysis. The argument begins by proving the Meta-Paradox at Square One: a twofold axiomatic contradiction that renders the theory's foundation ill-defined. This meta-paradox consists of: (1) the "chicken and the egg" ontological circularity of postulating the universal Hilbert space and the universal wavefunction as simultaneously and independently fundamental; and (2) the contradictory requirement for this one and only Hilbert space to simultaneously embody the mutually exclusive physical properties of a system with a stable vacuum and one with a metastable vacuum. This foundational flaw is shown to generate a cascade of internal mathematical contradictions, proving that MWI's axioms are incompatible with operator theory, thermodynamics, and the mathematical structure of spacetime. The theory is then proven to be structurally deficient and mathematically incomplete. Finally, and conclusively, MWI's foundational tenets-specifically its postulation of a generic, time-symmetric reality are proven to be in direct contradiction with the Principle of Emergent Continuity, which establishes that any mathematically consistent dynamic reality must be time asymmetric and emerge from the fundamental arithmetic of prime numbers. The accumulated weight of these proofs demonstrates MWI's total logical and mathematical incoherence.
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 (ΔQ≥kBTln⁡2\Delta Q \geq k_B T \ln 2ΔQ≥kB​Tln2). 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.
This paper explores the Many-Worlds Interpretation (MWI) of quantum mechanics as a conceptual framework for understanding fragmentation, uncertainty, and narrative divergence in global economic dynamics. We argue that the logic of Everettian branching –originally introduced to resolve the quantum measurement problem– offers a compelling metaphor for interpreting the proliferation of economic expectations, speculative bubbles, policy contradictions, and systemic crises in a multilateral, post-truth financial world. Situating our analysis within the emerging discourse of narrative economics and cognitive fragmentation, we draw parallels between physical decoherence and economic disconnection, highlighting how modern financial systems increasingly resemble a multiverse of incompatible but coexisting belief structures. We propose that modular tensor categories may eventually offer more refined topological frameworks for modeling such multiplicity. The paper con cludes by outlining ethical and policy implications for re-coherence and the role of observers in navigating global economic multiplicity.