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[Paper 10] The Holographic Objective Collapse Principle: Wave Function Decoherence from Gravitational Phase Loss

Khoa Nguyen

Published Feb 27, 2026• 5 citations
Publisher

Abstract

Paper 10 of the Holographic Cosmology Series. Derives wave function collapse from the holographic boundary's gravitational decoherence mechanism. Content restricted pending patent applications.
DOI
10.5281/zenodo.18777099

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Attention: This version is preliminary and contains errors that will be corrected in subsequent publications. A mechanism is proposed for the collapse of the wave function as a topological restructuring of the holographic barrier—the surface separating realized (classical) and unrealized (superpositional) configurations. Collapse occurs when the information load of the superposition exceeds a threshold determined by the geometry of the barrier. The geometry is described by a series of information dimensions derived from the energy balance of the Universe: the smooth screen D_0 = 2; the information dimension of the barrier D_1 = 2 + Ω_b ≈ 2.049; the matter dimension D_m = 2 + Ω_m ≈ 2.31; the total dimension of rendered space D_3 = 2 + Ω_tot = 3. The dimensional balance formula 2 + Ω_b + Ω_c + Ω_Λ = 3 links the flatness of the Universe (Ω_tot = 1) to the integrality of the dimension of observed space. The theory yields two independent falsifiable predictions with no free parameters: the scalar spectral index n_s = 0.9754 ± 0.0010 (theoretical uncertainty) and the superlinear scaling of the decoherence rate of GHZ states Γ ∝ N^(1+α_1), α_1 ≡ Ω_b = 0.0493 ± 0.0020, accessible to testing on existing quantum processors. The work is positioned within the information-gravitational program (Jacobson 1995; Dorau–Much 2026) and reproduces the latter's result as the limiting case α_1 → 0. Recent experimental evidence for the exponential law of collapse (RCE 2026; non-local gravity 2025; XENONnT 2026) is shown to be consistent with the mechanism. The dynamical foundation of the mechanism (Lagrangian, topological transition weight) is given in the companion work. Keywords: measurement problem, collapse of the wave function, holographic principle, fractal dimension, spectral index, decoherence, GHZ states.
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A more detailed analysis of the measurement problem continues to support the position taken by Shimony and the author that collapse of the wave function takes place in an objective manner in the rhodopsin molecule of the retina. This casts further doubts on the theories involving a spontaneous localization collapse process or a no-collapse decoherence process taking place in the visual cortex in a subjective fashion. The possibility is then raised, as per Anandan, as to whether the solution of the measurement problem in quantum theory allows one to address the problem of quantizing gravitation.
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