What question did this study set out to answer?

To establish a connection between the gravitational constant and electromagnetic interaction using a geometric framework.

March 27, 2026Open Access

The 11-Dimensional Interaction Manifold: A Geometric and Topological Framework for the Gravitational Constant (G)

Key Points

To establish a connection between the gravitational constant and electromagnetic interaction using a geometric framework.
Proposed a geometric, parameter-free model relating gravitational constant to electromagnetic interaction.
Analyzed the 10⁻³⁷ force disparity in the context of a bipartite interaction model.
Utilized the 31 rotation axes of the Icosahedral Symmetry Group to identify coupling multiplicity.
Achieved a vacuum force ratio that aligns with CODATA 2022 values at 99.9965% precision.
Demonstrated a new perspective on the hierarchy problem through dimensional analysis.

Abstract

We propose a geometric, parameter-free framework relating the gravitational constant (G) to the electromagnetic interaction as an emergent residual effect. This framework identifies the 10⁻³⁷ force disparity (the hierarchy problem) as a result of scaling a 15-dimensional bipartite interaction through an 11-dimensional physical vacuum. By identifying the coupling multiplicity through the 31 rotation axes of the Icosahedral Symmetry Group (Iₕ), we obtain a vacuum force ratio (Λ) that matches CODATA 2022 values with 99.9965% precision.

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