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

Ayoub Taoussi

Published Jan 4, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.18148490

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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 (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\infgap\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.
This paper presents a definitive refutation of the recurring conjecture that the Ze framework constitutes a variant of the Many-Worlds Interpretation (MWI) of quantum mechanics. Through a systematic, point-by-point analysis, we demonstrate that the two are radically orthogonal paradigms, separated by irreconcilable differences in their foundational principles. While both reject the notion of a fundamental wavefunction collapse, MWI responds by positing an ever-branching multiverse where all quantum possibilities are ontologically real. In stark contrast, the Ze framework, grounded in the principles of active inference and free energy minimization, preserves a single-world ontology. It reinterprets quantum superpositions as manifestations of unresolved epistemic model conflict within an adaptive system, and "measurement" as the physical process of forced localization, where a definite history crystallizes. The analysis conclusively distinguishes Ze from MWI across critical dimensions: the nature of alternatives (ontological worlds vs. epistemic models), the process of definiteness (subjective branching vs. objective optimization), the role of the observer (covert privilege vs. its elimination), and the capacity for empirical prediction. We conclude that Ze is not an interpretation of quantum formalism but a broader theory of how adaptive systems, from particles to brains, resolve uncertainty, thereby offering a monistic, parsimonious, and empirically grounded alternative to the inflationary ontology of the multiverse.
Working philosophical/foundational draft.This paper extends the logic of the companion BCT paper The A=A Problem for Everettian Branching from subject-individuation to observer-world individuation. Its central claim is that branch or microphysical multiplicity should not automatically be counted as observer-world multiplicity unless it induces observer-relevant record differentiation. The paper does not deny decoherence, emergent branch structure, or the universal quantum state. It argues instead for an observer-equivalence constraint: physically distinct realizations that agree on all accessible, persistent, update-constraining records for a finite observer A do not define distinct observer-worlds for A.Related companion paper: The A=A Problem for Everettian Branching, available in the recently published BCT philosophical working-papers record (DOI: 10.5281/zenodo.19649860).Background: independent researcher.Web site: https://bit-collapse-theory.netlify.app/Main DOI: 10.5281/zenodo.18496128 AbstractEverettian quantum mechanics is often presented as ontologically economical because it preserves unitary dynamics and avoids physical collapse. This paper argues that such economy remains incomplete unless Everettian realism supplies a principled criterion for counting worlds, branches, histories, or observer-relevant realities. The central worry is not mathematical branching, but ontological overcounting: the move from branch-level or microphysical multiplicity to full world-multiplicity may assign ontological weight to distinctions that make no difference to any observer-constituting record. The paper introduces an observer-equivalence constraint: two physical or branch-relative realizations are equivalent for a finite observer A if they agree with respect to all physically accessible, persistent, update-constraining records available to A within its finite integration window. In the conscious case, the relevant record-structure is understood as temporally integrated over a finite window rather than as an instantaneous observer-slice. The resulting picture does not refute Everettian quantum mechanics, nor does it deny decoherence or branch structure. It instead challenges the interpretation of branch multiplicity as unpriced ontological multiplicity and proposes a record-based constraint on ontological economy: worlds should not be counted more finely than the record-structures that make them difference-making for observers. Keywordsquantum foundations; Everett interpretation; observer-equivalence; ontological economy; branching worlds; records; subject-individuation; informational identity
This paper constructs a logically self-consistent emergent structural frameworkfor the Many-Worlds Interpretation (MWI) based on decoherence theory, quantum information geometry, and self-referential dynamics. Within this framework,a ”world” is rigorously defined as a quasi-classical branch formed in Hilbert spacethrough environmental decoherence and information-geometric boundaries. Its independence is quantitatively characterized by the branch separation degree Dab defined by the quantum relative entropy between branches. When Dab exceeds a critical value Dc determined jointly by the energy scale of environmental fluctuationsand the decoherence time, the branches separate irreversibly in the informationgeometric sense, constituting independent ”worlds”. Furthermore, by introducingthe concept of a self-consistent observer, this paper demonstrates the dynamic selection mechanism of cosmological laws within the string theory landscape: only thosevacuum branches that can support self-consistent observers (satisfying conditionssuch as the memory decoherence time being much greater than the cognitive operation time) have their wavefunction weights effectively preserved during evolution,thereby acquiring physical reality. Finally, combining Zurek’s envariance argumentwith the requirement of observer memory stability, we show that the Born ruleP(i) = |⟨i|ψ⟩|2 is not an additional assumption but a necessary consequence forthe stable existence of self-consistent observers. This framework provides an operational mathematical foundation for the many-worlds interpretation, transforms theanthropic principle into a dynamic selection problem, and offers an explanation forthe origin of probability based on quantum information principles.
This work develops a process–event ontological framework for quantum theory, with particular emphasis on information, collapse, and the energetic cost of realization. The central claim is that quantum mechanics formally describes physical processes—coherent, continuous, and reversible in principle—while information, records, and outcomes arise only at the level of events, through irreversible physical realization. Within this framework, collapse is redefined not as a dynamical anomaly, but as the physical realization of a process into an event. Information is not treated as a primary entity or carrier, but as a stabilized physical imprint of events, necessarily involving energy dissipation. The framework reinterprets Landauer’s principle as a cost of record stabilization rather than bit erasure, clarifies the ontological status of qubits as energetically maintained process states, and resolves standard measurement paradoxes without modifying the formalism of quantum mechanics. This work operates at a meta-level: it does not propose new dynamics or interpretations, but explicitly delineates the boundary between quantum processes and realized events.
On the basis of decoherence theory and quantum Darwinism, this paper proposes a “gentle collapse” interpretive scheme within the framework of the many-worlds interpretation. Its core assertion is: the state vector is the sole physical reality, not confined to four-dimensional spacetime. The four-dimensional physical world we experience is a single branch that a local observer fixes from the state vector by spending entropy. Probability is an intrinsic property of the state vector. The other possibilities are never locally fixed. This scheme yields physically distinguishable predictions from the many-worlds interpretation at the mesoscopic scale after decoherence is complete: because the many-worlds interpretation commits to all branches being equally physically real, it must expect thermodynamic signatures of residual interactions between branches; the gentle collapse scheme, by declaring that after decoherence is complete the other branches can no longer produce distinguishable physical effects through the local heat bath, expects zero such signatures. The “operational zero” is not an absolute ontological prohibition, but an operational boundary relative to the local observer’s current heat bath; when the heat bath is enlarged, information that was previously unfixed can re-enter the accessible domain. This “zero expectation” is strictly defined by the “operational zero” determined by the second law of thermodynamics via Landauer’s principle, constituting a criterion that is in principle experimentally testable. The paper further argues that acknowledging intrinsic probability and acknowledging the failure of deterministic causality for single events are two equivalent formulations of the same ontological decision, and that the gentle collapse scheme possesses independent advantages in theoretical economy and ontological consistency.