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Simulation and 5D Solitonic Interpretation of Peng-Type Optical Interference Experiments

Noel COPINET

Published Nov 9, 2025• 0 citations
Publisher

Abstract

This preprint presents a full numerical simulation of Peng-type optical interference experiments within the 5D Solitonic Geometric Framework.Using a unitary 5D FFT-based propagation equation derived from the complete 5D metric $\mathcal{M}_5=\mathbb{R}^{1,3}\times S^1/Z_6$, the model reproduces the double-slit, cross-double-slit, rotational, and obstacle geometries in qualitative agreement with Hui Peng’s experiments.The results confirm the compatibility between standard Fresnel optics and the 5D Solitonic Theory previously published on Zenodo, showing that observed interference patterns can be interpreted as geometric projections of a single deterministic 5D field.Future work will include explicit implementation of the $Z_6$ potential and quantitative comparisons with experimental intensity profiles.

DOI
10.5281/zenodo.17561764

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This preprint presents a full numerical simulation of Peng-type optical interference experiments within the 5D Solitonic Geometric Framework.Using a unitary 5D FFT-based propagation equation derived from the complete 5D metric M5=R1,3×S1/Z6\mathcal{M}_5=\mathbb{R}^{1,3}\times S^1/Z_6M5​=R1,3×S1/Z6​, the model reproduces the double-slit, cross-double-slit, rotational, and obstacle geometries in qualitative agreement with Hui Peng’s experiments.The results confirm the compatibility between standard Fresnel optics and the 5D Solitonic Theory previously published on Zenodo, showing that observed interference patterns can be interpreted as geometric projections of a single deterministic 5D field.Future work will include explicit implementation of the Z6Z_6Z6​ potential and quantitative comparisons with experimental intensity profiles.
We revisit the MIT 2025 realization of Young's double-slit experiment with single-atom slits, by embedding it into the 5D Solitonic Theory (M 4 × S 1 with compact energy dimension e). Unlike the orthodox wave-particle duality interpretation, the 5D framework derives interference and which-way complementarity from deterministic geometric projections. We explicitly show how the visibility V and distinguishability D emerge from phase coherence along e, governed by solitonic equations introduced in the foundational corpus [1, 2, 3, 4, 5].
This dataset and software repository present an alternative deterministic model for describing wave-particle duality and particle interference. Moving away from the traditional probabilistic interpretation of quantum mechanics (Born rule), the project models particle trajectories in a five-dimensional spacetime framework (\mathcal{M}^4 \times \mathbb{R}) under the influence of a deformation field geometry.Included files demonstrate numerical simulations of particle flux density distribution across a two-slit geometry, combining analytical envelope functions with field deformation modulation. This work provides a geometric, non-probabilistic foundation for reproducing interference patterns, offering a fresh perspective for theoretical physics discussions.
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This work provides a deterministic geometric interpretation of the double-slit experiment, moving beyond probabilistic quantum mechanical models. By utilizing a five-dimensional Kaluza-Klein metric framework with a dynamic scalar warping field \Phi(r), we demonstrate that interference patterns are manifestations of particle interaction with higher Kaluza-Klein harmonics (n > 0) in the fifth dimension. Furthermore, the collapse of the wavefunction upon measurement is derived as a dynamical consequence of the warping field localizing in the zero-mode state (n=0). This framework suggests that quantum phenomena can be understood as macroscopic manifestations of higher-dimensional spacetime geometry.
DUPLICATE RECORD (18 October 2026). This record is a duplicate upload of The Double-Slit Experiment on a Discrete Holographic Lattice. Please cite 10.5281/zenodo.18793387 instead. That record — the maintained version of the same simulation — is kept, with a status note. Original description (kept for the record): We show that exact unitary propagation of an electron wavepacket on a fi- nite 4.8.8 lattice reproduces single-slit and double-slit diffraction patterns in close quantitative agreement with experiment, with no continuum approxima- tion. When environmental coupling is introduced at the slit, interference is destroyed and Born rule statistics emerge from decoherence alone. Using the deterministic kinematics of the circlette lattice, we demonstrate that wave- function collapse need not be postulated. The transition from quantum inter- ference to classical probability distributions emerges naturally from unitary evolution through the deterministic tracing-out of environmental degrees of freedom. The lattice addresses the apparent measurement problem through finite bandwidth and orthogonal geometry, requiring no conscious observer. This is the third paper in a series developing the Holographic Circlette frame- work, but remains mathematically self-contained.
The double-slit experiment is the heart of quantum mechanics, yet its standard interpretation relies on the postulate of wavefunction probability amplitude. Starting from Space Ontology, we demonstrate that interference phenomena can be entirely derived from the geometric properties of classical spatial modes, without introducing probability amplitudes. Each slit is modeled as a localized soliton solution of the spatial orientation field equation; the interference pattern arises from the linear superposition of two mode energy densities in the far field. The key discovery is that the interference visibility V is uniquely determined by the geometric entanglement entropy E_geo of the modes, satisfying V = tanh(2E_geo). Here E_geo = ln Lambda(alpha) is a function of the mode's shape parameter alpha — a Gaussian mode (alpha=2) has zero entropy and cannot interfere, while a flat mode (alpha>2) carries large coherent capacity. This theory naturally explains the which-way and quantum eraser experiments: path marking introduces a third mode that dilutes correlations via the many-body correlation reduction theorem; erasure corresponds to the decoupling of that mode. As a flagship validation, we show that the theory quantitatively accounts for the macroscopic interference of 7000-atom sodium clusters, predicting a coherence width of approximately 66 nm — confirmed by experiment. Two testable predictions are proposed: a boundary shape compression effect, and a material-dependent visibility for nanoclusters of different compositions. This work demonstrates that wave-particle duality is not a mysterious quantum feature, but a manifestation of the geometric entanglement entropy of spatial modes — the flatter the mode, the greater the coherence capacity, and the clearer the interference. This paper is the second in the first series (17 papers total) of Space Ontology.