High-Dimensional Electronic States and OS-Model Projection:A Projection-Geometric Framework for Orbitals, Pauli Constraints,and Molecular Bonding
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2026
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| _version_ | 1866901398976724992 |
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| author | Morimoto, Masaru |
| author_facet | Morimoto, Masaru |
| contents | <p>This paper proposes a projection-geometric reinterpretation of electronic structure in quantum chemistry. <br>We model the electronic state not as a purely three-dimensional wavefunction, but as a high-dimensional internal state <br>$\Psi \in \mathbb{C}^N$, whose observable properties arise only after projection into three-dimensional space. <br>Within this framework, the familiar constraints of quantum chemistry---such as the two-electron occupancy limit of an orbital, <br>the discrete shapes of atomic and hybrid orbitals, and the fixed angles of molecular bonds---are understood as consequences <br>of information loss induced by dimensional projection.</p> <p>To formalize this idea, we introduce an analogy with operating-system (OS) state models, in which rich internal process states <br>are compressed into limited external interfaces, producing apparent resource constraints. We show that the structure of electronic <br>orbitals, Pauli exclusion, and molecular bonding can be interpreted as manifestations of a general internal--projection--observation <br>architecture. This structure is closely related to that previously developed in the Twin-Complex Cosmology framework, where <br>cosmological observables arise from the projection of internal dynamical degrees of freedom.</p> <p>The result is a unified conceptual model in which diverse physical and computational phenomena share a common pattern: <br>high-dimensional internal dynamics, a projection map that discards information, and observable behavior that appears constrained <br>or quantized as a result. This suggests that projection geometry may serve as a general explanatory mechanism across multiple <br>domains of physics and information theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18446855 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | High-Dimensional Electronic States and OS-Model Projection:A Projection-Geometric Framework for Orbitals, Pauli Constraints,and Molecular Bonding Morimoto, Masaru High-dimensional electronic states Projection geometry Information loss Orbital constraints Hybrid orbitals Pauli exclusion Molecular bonding State-space compression Internal–projection–observation architecture <p>This paper proposes a projection-geometric reinterpretation of electronic structure in quantum chemistry. <br>We model the electronic state not as a purely three-dimensional wavefunction, but as a high-dimensional internal state <br>$\Psi \in \mathbb{C}^N$, whose observable properties arise only after projection into three-dimensional space. <br>Within this framework, the familiar constraints of quantum chemistry---such as the two-electron occupancy limit of an orbital, <br>the discrete shapes of atomic and hybrid orbitals, and the fixed angles of molecular bonds---are understood as consequences <br>of information loss induced by dimensional projection.</p> <p>To formalize this idea, we introduce an analogy with operating-system (OS) state models, in which rich internal process states <br>are compressed into limited external interfaces, producing apparent resource constraints. We show that the structure of electronic <br>orbitals, Pauli exclusion, and molecular bonding can be interpreted as manifestations of a general internal--projection--observation <br>architecture. This structure is closely related to that previously developed in the Twin-Complex Cosmology framework, where <br>cosmological observables arise from the projection of internal dynamical degrees of freedom.</p> <p>The result is a unified conceptual model in which diverse physical and computational phenomena share a common pattern: <br>high-dimensional internal dynamics, a projection map that discards information, and observable behavior that appears constrained <br>or quantized as a result. This suggests that projection geometry may serve as a general explanatory mechanism across multiple <br>domains of physics and information theory.</p> |
| title | High-Dimensional Electronic States and OS-Model Projection:A Projection-Geometric Framework for Orbitals, Pauli Constraints,and Molecular Bonding |
| topic | High-dimensional electronic states Projection geometry Information loss Orbital constraints Hybrid orbitals Pauli exclusion Molecular bonding State-space compression Internal–projection–observation architecture |
| url | https://doi.org/10.5281/zenodo.18446855 |