A HYPER-DIMENSIONAL TOPOLOGICAL RESOLUTION OF THE GENERALIZED POINCARÉ CONJECTURE VIA KHANHNIONS 96D PROJECTIONS

This paper presents a definitive geometric smoothing mechanism for the generalized Poincaré Conjecture within high-dimensional topologies utilizing the Khanhnions 96D manifold. By mapping continuous metric deformations onto an error-free 24-dimensional Leech lattice through non-local partial trace operations, we demonstrate that localized necksclipping singularities are completely averted, proving global smooth homeomorphisms to high-dimensional spheres without structural tearing.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23850596
Primary Topic
Geometric and Algebraic Topology
Type
preprint
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preprint

A HYPER-DIMENSIONAL TOPOLOGICAL RESOLUTION OF THE GENERALIZED POINCARÉ CONJECTURE VIA KHANHNIONS 96D PROJECTIONS

Kim Khanh Nguyen
3 links
Zenodo (CERN European Organization for Nuclear Research)
Geometric and Algebraic Topology
preprint

A HYPER-DIMENSIONAL TOPOLOGICAL RESOLUTION OF THE GENERALIZED POINCARÉ CONJECTURE VIA KHANHNIONS 96D PROJECTIONS

Kim Khanh Nguyen
preprint en

Abstract

This paper presents a definitive geometric smoothing mechanism for the generalized Poincaré Conjecture within high-dimensional topologies utilizing the Khanhnions 96D manifold. By mapping continuous metric deformations onto an error-free 24-dimensional Leech lattice through non-local partial trace operations, we demonstrate that localized necksclipping singularities are completely averted, proving global smooth homeomorphisms to high-dimensional spheres without structural tearing.

Zenodo (CERN European Organization for Nuclear Research)
University of Khanh Hoa (VN)
Geometric and Algebraic Topology
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