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

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-11
DOI
https://doi.org/10.5281/zenodo.20117725
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

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

Angels Gilabert
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

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

Angels Gilabert
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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