Proof of Topological Rigidity in Constrained SO(3,3) Dimensions via SL(4,ℝ) Matrix Simulation

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22782210
Primary Topic
Quantum many-body systems
Type
preprint
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preprint

Proof of Topological Rigidity in Constrained SO(3,3) Dimensions via SL(4,ℝ) Matrix Simulation

Changho Cho
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

Proof of Topological Rigidity in Constrained SO(3,3) Dimensions via SL(4,ℝ) Matrix Simulation

Changho Cho
preprint en

Abstract

When interpreting quantum mechanical particles as topological solitons within a multidimensional manifold, it is crucial to verify their structural stability against spatial expansion. This paper mathematically proves the "Metric Rigidity" of a single localized particle (soliton)—demonstrating that even as it undergoes extreme expansion and translation (v → ∞) in 3D macroscopic space, its geometric topology within the transverse-time dimensions maintains absolute tension with a zero error rate. We utilize a non-perturbative numerical simulation substituting the 6D constraint tensor structure with SL(4,ℝ) matrices. Ultimately, the mathematical proof that transverse-time metric preservation is entirely immune to spatial distance provides a foundational geometric mechanism that may help elucidate the non-local nature of bipartite quantum entanglement in future studies.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Quantum many-body systems
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