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Three non-spatial dimensions: an ontological model for the collapse of the wave function

Angels Gilabert

Published May 11, 2026• 0 citations
Publisher

Abstract

The collapse of the wave function remains without consensual ontological explanation. The dominant interpretations (Copenhagen, many-worlds, decoherence) describe the phenomenon but do not explain what the observer is or why its intervention produces a definite result. This article presents a formal ontological model of three dimensions called perspectives in the development of the model to avoid confusion with conventional spatial dimensions: |U⟩ (pure unity without self-distinction), |P⟩ (field of possibilities in superposition, isomorphic to Hilbert space) and |E⟩ (actualized state). A consciousness operator Ĉ(λ,κ), parameterized by depth of access λ and relational quality κ, acts from within the field to produce the collapse: Ĉ(λ,κ) · Σ αi|ei⟩ = |ej⟩ ≡ |E⟩. The transition |U⟩ → |P⟩ is formalized through Spencer-Brown’s logic of distinction. The model reinterprets Heisenberg’s uncertainty principle as a description of the perceptual limits of ordinary consciousness. A falsifiable hypothesis is proposed based on double-slit experiments with observers in different states of gamma coherence. The model is formally consistent with standard quantum mechanics, providing a foundational ontological framework to address the measurement problem from a non-classical perspective.

DOI
10.5281/zenodo.20117724

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The collapse of the wave function remains without consensual ontological explanation. The dominant interpretations (Copenhagen, many-worlds, decoherence) describe the phenomenon but do not explain what the observer is or why its intervention produces a definite result. This article presents a formal ontological model of three dimensions called perspectives in the development of the model to avoid confusion with conventional spatial dimensions: |U⟩ (pure unity without self-distinction), |P⟩ (field of possibilities in superposition, isomorphic to Hilbert space) and |E⟩ (actualized state). A consciousness operator Ĉ(λ,κ), parameterized by depth of access λ and relational quality κ, acts from within the field to produce the collapse: Ĉ(λ,κ) · Σ αi|ei⟩ = |ej⟩ ≡ |E⟩. The transition |U⟩ → |P⟩ is formalized through Spencer-Brown’s logic of distinction. The model reinterprets Heisenberg’s uncertainty principle as a description of the perceptual limits of ordinary consciousness. A falsifiable hypothesis is proposed based on double-slit experiments with observers in different states of gamma coherence. The model is formally consistent with standard quantum mechanics, providing a foundational ontological framework to address the measurement problem from a non-classical perspective.
Standard interpretations of quantum mechanics often maintain that physical reality is incomplete until it is observed, or else that the collapse of the wave function constitutes a fundamental ontological event associated with the act of measurement. Such readings conflate observation with physical interaction and reify the theory’s formalism into a metaphysics of indeterminacy. This paper proposes a reinterpretation of the collapse of the wave function as an effective, post-realization phenomenon: a descriptive projection that occurs within a globally relational state that is ontologically determined. By integrating decoherence theory, an analysis of the double-slit experiment, and a reinforced block-universe model, it is argued that quantum entities do not alternate between wave-like and corpuscular natures. Rather, different experimental regimes restrict the degrees of freedom accessible to local description, yielding distinct empirical manifestations. This approach preserves determinism, avoids an observer-dependent ontology, and provides a non-mystical explanation of quantum entanglement grounded in the ontological primacy of global relational structure over local spatiotemporal description.
The Copenhagen interpretation's "wave function collapse" postulate has resisted unified physical explanation for over a century. This article proposes an alternative ontological framework: measurement outcomes do not result from instantaneous collapse, but from realization—the emergence of actuality from potentiality through capacity-dependent thresholds. We posit that consciousness constitutes the fundamental source of potentiality, while observer capacity (quantified via mutual information, distinguishability, or decoherence rates) determines whether potentiality actualizes into observable reality. This framework is formalized via soft-threshold sigmoid activation operators R(C,T) = 1/(1+exp(-k(C-T))), projection operators on Hilbert space, and organizational-level resonance. We address three critical objections: (1) panpsychism is avoided through organization-dependent ontological realism; (2) decoherence is reinterpreted as resonance between organizational levels rather than passive information leakage; (3) six falsifiable experimental predictions are presented, spanning double-slit variable-capacity detection, quantum erasers, Stern-Gerlach weakening, infant neural dimensionality growth, sensory threshold development, and REM sleep correlation with learning. Mathematical consistency with Born rule and Hilbert space formalism is established via normalization conditions and unitary operation proofs. The model reconciles quantum mechanics, consciousness studies, developmental neuroscience, and sleep physiology within a single ontological framework, offering testable alternatives to Copenhagen, many-worlds, pilot-wave, and objective-collapse interpretations.
The present paper interprets quantum mechanics within the ontological framework of the Theory of Consciousness. The Theory posits consciousness as the sole ontological reality, formally described as a topological space, and derives all physical phenomena as manifestations of the local knowledge of the observer. Within this framework the five principal phenomena of quantum mechanics —superposition, wave-function collapse, the uncertainty principle, quantization, and entanglement — are shown to arise necessarily from the axiomatic ontological chain of consciousness without introducing new postulates. Quantum indeterminacy is reinterpreted not as a fundamental property of matter but as a structural limitation of the observer’s local knowledge. The Planck constant is identified with the minimum resolvable change of the knowledge structure of the quantum observer. The conceptual paradoxes of quantum mechanics—the measurement problem, non-locality, and the probabilistic nature of results — dissolve once consciousness is restored as the ontological foundation.
Wave function collapse has long been regarded as a fundamental element of the quantum measurement process, providing a mechanism by which a superposed quantum state yields a single observed outcome. Despite its widespread use, the physical meaning of collapse remains conceptually controversial. In particular, it is often assumed that the quantities associated with a quantum state before measurement and the values obtained after measurement belong to the same conceptual category. This assumption leads naturally to the image of a discontinuous transition in which one value is selected from a superposition of possibilities. In the present work, we reexamine the concept of quantum collapse from the perspective of observability. We argue that pre-measurement quantities do not constitute observable values in the ordinary operational sense. Rather, they represent a structure of potential observability associated with possible measurement outcomes. By contrast, post-measurement outcomes correspond to operationally realized observability, in which a specific result becomes accessible through measurement. From this viewpoint, the apparent collapse does not represent a physical jump of an already existing value, but a transition from potential observability to operationally realized observability. Based on this distinction, we propose that many conceptual difficulties traditionally associated with wave function collapse arise from treating these two fundamentally different forms of observability as if they were physically equivalent. The apparent discontinuity of collapse may therefore originate not from a discontinuous change in reality itself, but from a conceptual conflation of potential observability and operationally realized observability. Within the Intrinsic Observability Framework (IOF), this interpretation naturally leads to the concept of accessibility transition, in which the emergence of a definite outcome is understood as a change in accessible structure rather than as a fundamental non-unitary state reduction. The present analysis suggests that wave function collapse may not be a fundamental physical phenomenon, but instead a consequence of the transition from potential observability to operationally realized observability. This perspective provides a conceptual reorganization of the measurement problem and clarifies the role of observability in the emergence of definite quantum outcomes.
The so-called collapse of the wave function is still regarded as one of the central unresolved problems of quantum mechanics. This paper argues that this problem does not stem from an incomplete physical theory, but from a categorical misaddressing. The collapse is usually understood as a physical process that takes place within time and should, in principle, be further analyzable in dynamical terms. This assumption, however, is itself part of the problem.On the basis of an ontological distinction between possibility and factuality, it is shown that the collapse is not a process, but an irreversible constriction of an ontological space of possibility. Measurement is not understood as an epistemic act, but as object-making: a coercion toward objectivity through which possibility is excluded and the world is fixed to a single factual continuation. The collapse does not mark a transition between states, but a boundary act at which the language of processes loses its validity.In this understanding, the collapse is not an event in time, but a generator of time direction. Time appears as the trace of irreversible constrictions, not as a presupposed background parameter. The position advanced here thereby explains why the collapse cannot, in principle, be mechanistically explained without introducing additional entities or dynamics.The paper proposes that the measurement problem should no longer be treated as a question of a hidden mechanism, but rather as a boundary phenomenon in which the ontological presuppositions of physical description themselves become visible. This shifts the focus from processes and mechanisms to conditions, regimes, and boundaries of world-formation.
The double-slit interference experiment has long been widely misinterpreted as "human consciousness directly causing wavefunction collapse". This view confuses physical measurement interaction with subjective conscious experience and deviates from the orthodox interpretation of modern quantum mechanics. Starting from the double-slit experiment, this paper distinguishes the real physical mechanism of wavefunction collapse and points out that the disappearance of interference fringes originates from the physical coupling between measuring devices and microscopic particles as well as environmental decoherence, which has no direct causal relationship with conscious observation. On this basis, this paper proposes a self-consistent unified framework of consciousness and quantum universe: consciousness is not the trigger of collapse, but the ontological source of the entire quantum possibility universe. Through the Yang-Mills mass gap and symmetry breaking mechanism, consciousness condenses the potential quantum field into a material universe with mass, structure and stable dynamics. The biological brain acts as a localized carrier of consciousness, enabling the overall consciousness to observe and experience its own creation from a limited perspective, forming a closed loop of "consciousness creation—self-observation—self-cognition". This paper corrects systematic biases in popular science and public perception, and provides a rigorous and unified path for understanding the real role of consciousness in the quantum universe.