A HYPER-DIMENSIONAL GEOMETRIC APPROACH TO THE HODGE CONJECTURE VIA KHANHNIONS 96D PROJECTIONS

This paper presents a rigorous hyper-dimensional geometric resolution to the classical Hodge Conjecture on smooth projective varieties. By embedding complex algebraic structures within the global 96-dimensional Hilbert space (Khanhnions 96D), we demonstrate that classical topological cycles collapse into ordered configurations controlled by the fractional dimensions of exceptional geometry.

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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.23850626
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

A HYPER-DIMENSIONAL GEOMETRIC APPROACH TO THE HODGE CONJECTURE VIA KHANHNIONS 96D PROJECTIONS

Kim Khanh Nguyen
5 links
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
preprint

A HYPER-DIMENSIONAL GEOMETRIC APPROACH TO THE HODGE CONJECTURE VIA KHANHNIONS 96D PROJECTIONS

Kim Khanh Nguyen
preprint en

Abstract

This paper presents a rigorous hyper-dimensional geometric resolution to the classical Hodge Conjecture on smooth projective varieties. By embedding complex algebraic structures within the global 96-dimensional Hilbert space (Khanhnions 96D), we demonstrate that classical topological cycles collapse into ordered configurations controlled by the fractional dimensions of exceptional geometry.

Zenodo (CERN European Organization for Nuclear Research)
University of Khanh Hoa (VN)
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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A HYPER-DIMENSIONAL GEOMETRIC APPROACH TO THE HODGE CONJECTURE VIA KHANHNIONS 96D PROJECTIONS — Kim Khanh Nguyen · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS