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"n/∅: A Mathematical Critique of the Many Worlds Interpretation"

Tushar

Published Jul 13, 2025• 0 citations
OpenAlex

Abstract

This project presents a mathematical and logical critique of the Many Worlds Interpretation (MWI) of quantum mechanics using the undefined operation ∅/∅. It proposes a framework where n/∅ reflects finite observation versus infinite quantum possibility, arguing that such undefined logic exposes key flaws in the predictability of MWI. This is an independent research paper developed by a high school student, aiming to generate discussion and analysis around quantum interpretation.

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Abstract: The main objective of this work is to compare the interpretations of the hydrogen atom spectrum according to two famous schools in quantum mechanics: Copenhagen and many-worlds. The Schrodinger equation is solved using the many-worlds interpretation, and the results are then compared to those obtained using the Copenhagen interpretation. While the energy spectra are similar in both cases, the interpretations of these results differ. In the many-worlds interpretation, the eigenvectors are entangled across multiple worlds, whereas, in the Copenhagen interpretation, they are superimposed. The hydrogen atom, being a system of only one electron and without electron-electron interaction, serves as a clear and accessible example for comparing these interpretations. In this case, the wave function depends on independent coordinates and is written as a tensor product of independent functions, even before solving the Schrödinger equation. In more complex systems where there are electron-electron, electron-nucleus, nucleus-nucleus, and other interactions, the wave function should be written as a tensor product of entangled states after solving the Schrodinger equation. The aim of this study is to demonstrate to physics and chemistry teachers and students that there are different ways to view the quantum world. The many-worlds interpretation is simply another way of interpreting the solutions of the Schrodinger equation, rather than a new mathematical approach. The present work emphasizes the importance of understanding different interpretations of quantum mechanics and their implications for understanding the physical world. Keywords: Hydrogen atom spectrum, Schrodinger equation, Copenhagen school, Many-worlds interpretation.

Jordan Journal of Physics•Oct 31, 2024•0 citations
This project presents a mathematical and logical critique of the Many Worlds Interpretation (MWI) of quantum mechanics using the undefined operation ∅/∅. It proposes a framework where n/∅ reflects finite observation versus infinite quantum possibility, arguing that such undefined logic exposes key flaws in the predictability of MWI. This is an independent research paper developed by a high school student, aiming to generate discussion and analysis around quantum interpretation.
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 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.
Abstract: The main objective of this work is to compare the interpretations of the hydrogen atom spectrum according to two famous schools in quantum mechanics: Copenhagen and many-worlds. The Schrodinger equation is solved using the many-worlds interpretation, and the results are then compared to those obtained using the Copenhagen interpretation. While the energy spectra are similar in both cases, the interpretations of these results differ. In the many-worlds interpretation, the eigenvectors are entangled across multiple worlds, whereas, in the Copenhagen interpretation, they are superimposed. The hydrogen atom, being a system of only one electron and without electron-electron interaction, serves as a clear and accessible example for comparing these interpretations. In this case, the wave function depends on independent coordinates and is written as a tensor product of independent functions, even before solving the Schrödinger equation. In more complex systems where there are electron-electron, electron-nucleus, nucleus-nucleus, and other interactions, the wave function should be written as a tensor product of entangled states after solving the Schrodinger equation. The aim of this study is to demonstrate to physics and chemistry teachers and students that there are different ways to view the quantum world. The many-worlds interpretation is simply another way of interpreting the solutions of the Schrodinger equation, rather than a new mathematical approach. The present work emphasizes the importance of understanding different interpretations of quantum mechanics and their implications for understanding the physical world. Keywords: Hydrogen atom spectrum, Schrodinger equation, Copenhagen school, Many-worlds interpretation.