Geometric Frustration in the Tetrahedral Vacuum

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Authors: Naoki S. Kiryu
Cited by: 0

Abstract

Abstract Standard cosmological models presume a continuous spacetime metric, yet they fail to provide a geometric origin for the discrete nature of matter and the universality of the speed of light. This paper proposes a unified framework based on the S2N2 Tetrahedral Vacuum Hypothesis. We demonstrate that the inherent 7.356-degree angular deficit (geometric frustration) arising from the attempt to tile 3D space with regular tetrahedra acts as the fundamental driver for a perpetual rotational phase transition. This mechanism manifests macroscopically as a superfluid medium (Ether). Furthermore, we redefine "Observation" not as a conscious act, but as a physical information horizon where rotational variances below a threshold are averaged into linear displacement, defining the speed of light. Finally, we present the Helical Vortex Model, a topological reorganization of the periodic table, demonstrating that chemical elements represent stable, closed-loop phase resonances within this cosmic vortex.

Fields of Study & Subjects

Relativity and Gravitational Theory Noncommutative and Quantum Gravity Theories Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 February 2026
Document type
Preprint