Why Spacetime Is (3+1)-Dimensional: Polygon Transcendence via V=N/D — Paper 2 of 3D Theory Series

This paper is part of the TheYKHC Theoretical Series: 'From Duality to Field: A Three-Dimensional Evolution of Universal Theory' Paper 1 (DOI: 10.5281/zenodo.20956491): Dual-Layer Light Invariance (2D — The Discovery of Duality) Paper 2 (DOI: 10.5281/zenodo.20956493): Why Spacetime is (3+1)-Dimensional (2.5D — Polygon Transcendence) Paper 3 (DOI: 10.5281/zenodo.20956499): Ki-Net Field Evidence (3D — Universal Field Completion) Foundation (DOI: 10.5281/zenodo.20955834): Genki Particle Dance — Why the Quantum Foam Dances V = N / D governs reality from the quantum vacuum to the cosmic scale. [Paper 2 — 2.5D: Polygon Transcendence] Polygons approximate curved surfaces with discrete patches. Standard physics faces the same problem: discrete quantum events stitched into continuous spacetime with unresolved seams. V = N / D resolves this discontinuity. The (3+1)-dimensional structure is the unique geometry where V = N / D achieves stable propagation.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20956543
Primary Topic
Advanced Mathematical Theories
Type
preprint
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preprint

Why Spacetime Is (3+1)-Dimensional: Polygon Transcendence via V=N/D — Paper 2 of 3D Theory Series

Yoshimitsu Katayama
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories
preprint

Why Spacetime Is (3+1)-Dimensional: Polygon Transcendence via V=N/D — Paper 2 of 3D Theory Series

Yoshimitsu Katayama
preprint en

Abstract

This paper is part of the TheYKHC Theoretical Series: 'From Duality to Field: A Three-Dimensional Evolution of Universal Theory' Paper 1 (DOI: 10.5281/zenodo.20956491): Dual-Layer Light Invariance (2D — The Discovery of Duality) Paper 2 (DOI: 10.5281/zenodo.20956493): Why Spacetime is (3+1)-Dimensional (2.5D — Polygon Transcendence) Paper 3 (DOI: 10.5281/zenodo.20956499): Ki-Net Field Evidence (3D — Universal Field Completion) Foundation (DOI: 10.5281/zenodo.20955834): Genki Particle Dance — Why the Quantum Foam Dances V = N / D governs reality from the quantum vacuum to the cosmic scale. [Paper 2 — 2.5D: Polygon Transcendence] Polygons approximate curved surfaces with discrete patches. Standard physics faces the same problem: discrete quantum events stitched into continuous spacetime with unresolved seams. V = N / D resolves this discontinuity. The (3+1)-dimensional structure is the unique geometry where V = N / D achieves stable propagation.

Zenodo (CERN European Organization for Nuclear Research)
Bukhara State University (UZ)
Advanced Mathematical Theories
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