Published June 4, 2026 | Version v1

Part 3: A Roadmap Toward Geometric Organization of Fundamental Interactions

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Description

In two preceding works, we introduced Origin Geometry (OG) as a discrete geometric substrate from which spacetime structure and dimensionless physical constants emerge.

part 1 established the ontological foundations, while part 2 identified static geometric invariants of a four-dimensional icosahedral lattice as the structural origin of key physical ratios.

The present work establishes a conceptual roadmap for organizing known fundamental interactions within the OG substrate.

We propose a Geometric Taxonomy in which interactions correspond to four distinct structural regimes:

  • boundary interfaces,

  • dimensional projection,

  • topological defects,

  • bulk deformation.

Each is interpreted as a structural stabilization response against resonant or divergent configurations of the lattice.

This part identifies the heuristic principles and structural correspondences required to provide a shared geometric language for future mathematical and computational investigation.

 

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OG_Part3_Geometric-Foundation.pdf

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Related works

Continues
Preprint: 10.5281/zenodo.20546440 (DOI)