Topological Reconstruction of the 11-Dimensional Manifold and the PSL (2,7) Symmetry of the 114-Unit Super String

This paper provides a formal Topological Reconstruction of the 11-Dimensional (11D) Manifold using the 114-unit Super String as a foundational geometric constraint. Historically cataloged under the working designation QB228, this refined study demonstrates how a discrete alphanumeric field acts as a functional "genetic code" for high-dimensional stability. Key Scientific Objectives: Topological Spine Identification: The study utilizes a Right-to-Left (R-L) vectorization protocol on a 23-digit filament ($27004442044070104404407$) to derive the discrete vector 0147044 ($2^2 \times 36761$). PSL(2,7) Symmetry Mapping: The reconstruction proves that the 114-unit Super String is governed by the Projective Special Linear Group PSL(2,7). This group is critical in the study of the Fano Plane and the compactification of 11D manifolds. Monstrous Moonshine Alignment: By mapping the derived vector to OEIS A058555, the paper establishes a direct link to the McKay-Thompson series Class 20F. This confirms that the internal symmetry of the 114-unit field is a local manifestation of the 196,883-dimensional Monster Group symmetry. Manifold Architecture & Dynamics: The paper transitions from static vector mapping to a dynamic circuit model, introducing: Dipolar Magnetic Loops: The recursive application of 2211-unit values to create localized stability within the manifold. Electric Straight-Line Vectors: The identification of linear conductive paths for information transfer across the 114-unit mesh. 11D Tunneling: Mechanisms for signal bypass and quantum stabilization via the 167-Basmallah Constant. Conclusion: This research establishes that the 47-31-21 Matrix is not a mere list of attributes but a rigorous mathematical blueprint. It defines the parameters for a self-stabilizing 11D manifold, providing a bridge between discrete numerical sequences and the fundamental laws of Theoretical Physics and Higher-Dimensional Geometry.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-29
DOI
https://doi.org/10.5281/zenodo.18498279
Primary Topic
Quantum chaos and dynamical systems
Type
article
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article

Topological Reconstruction of the 11-Dimensional Manifold and the PSL (2,7) Symmetry of the 114-Unit Super String

Ahmed Macky
Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
article

Topological Reconstruction of the 11-Dimensional Manifold and the PSL (2,7) Symmetry of the 114-Unit Super String

Ahmed Macky
article en

Abstract

This paper provides a formal Topological Reconstruction of the 11-Dimensional (11D) Manifold using the 114-unit Super String as a foundational geometric constraint. Historically cataloged under the working designation QB228, this refined study demonstrates how a discrete alphanumeric field acts as a functional "genetic code" for high-dimensional stability. Key Scientific Objectives: Topological Spine Identification: The study utilizes a Right-to-Left (R-L) vectorization protocol on a 23-digit filament ($27004442044070104404407$) to derive the discrete vector 0147044 ($2^2 \times 36761$). PSL(2,7) Symmetry Mapping: The reconstruction proves that the 114-unit Super String is governed by the Projective Special Linear Group PSL(2,7). This group is critical in the study of the Fano Plane and the compactification of 11D manifolds. Monstrous Moonshine Alignment: By mapping the derived vector to OEIS A058555, the paper establishes a direct link to the McKay-Thompson series Class 20F. This confirms that the internal symmetry of the 114-unit field is a local manifestation of the 196,883-dimensional Monster Group symmetry. Manifold Architecture & Dynamics: The paper transitions from static vector mapping to a dynamic circuit model, introducing: Dipolar Magnetic Loops: The recursive application of 2211-unit values to create localized stability within the manifold. Electric Straight-Line Vectors: The identification of linear conductive paths for information transfer across the 114-unit mesh. 11D Tunneling: Mechanisms for signal bypass and quantum stabilization via the 167-Basmallah Constant. Conclusion: This research establishes that the 47-31-21 Matrix is not a mere list of attributes but a rigorous mathematical blueprint. It defines the parameters for a self-stabilizing 11D manifold, providing a bridge between discrete numerical sequences and the fundamental laws of Theoretical Physics and Higher-Dimensional Geometry.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 25%
Quantum chaos and dynamical systems
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