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Thesis . 2025
License: CC BY SA
Data sources: Datacite
ZENODO
Thesis . 2025
License: CC BY SA
Data sources: Datacite
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Topological Connectivity and Stability in Axially-Coupled Finite Bi-Planar Manifolds via Dimensional Singularity

Authors: Walsh, Ryan Andrew Philip;

Topological Connectivity and Stability in Axially-Coupled Finite Bi-Planar Manifolds via Dimensional Singularity

Abstract

We propose a theoretical geometric model consisting of two disjoint, finite 2D manifolds embedded in R^3 space, separated by a non-zero bulk distance. Interaction between these manifolds is mediated exclusively by a 1D line segment acting as a topological bridge. Unlike infinite D-brane systems, this model introduces a finite radial constraint, creating an isolated resonant system. We analyze the connectivity via a Dirac delta transfer function and demonstrate that structural stabil-ity in the vacuum state implies the necessity of a higher-dimensional bulk (4D spatial embedding) to resolve the hierarchy problem inherent in the 1D flux tube connection.

Keywords

Mathematical physics, Topology, Theoretical physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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