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April 21, 20260 citationsOpen Access

Geometric Classification of Standard Model Particles Derived from the Orientation Structure of the 6-Dimensional Hypercube

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NKNoriaki Kihara

Key Points

  • The aim is to develop a geometric classification of Standard Model particles using a 6-dimensional hypercube framework.
  • Utilized a 6-dimensional model that incorporates a 4-valued discrete label axis Q.
  • Derived properties such as spin classification, color charge, and particle states from the hypercube orientation.
  • Established correspondences for 62 states integrating Standard Model and gravity.
  • Created 8 gluon states and 12 gauge boson states based on the derived classification.
  • Mapped mass to R-axis signed area, linking geometry to particle properties.
  • Clarified aspects of spatial parity and charge asymmetry in the framework.

Abstract

From a 6-dimensional framework (5D hypercube + 4-valued discrete label axis Q), this paper derives: spin classification stability, color charge from Q labels, 8 gluon states (3x3-1), 12 gauge boson states, graviton placement, mass from R-axis signed area, and a complete correspondence of 62 SM+gravity states. v3: Clarified spatial axis parity wording, weakened coupling-hierarchy claim, added §9.6 on charge asymmetry.

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Cite This Study

Noriaki Kihara (2026) studied this question.

synapsesocial.com/papers/69e7143fcb99343efc98da7fhttps://doi.org/10.5281/zenodo.19651124
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Geometric Classification of Standard Model Particles Derived from the Orientation Structure of the 6-Dimensional Hypercube2026
  2. 2Combinatorial Properties of the Configuration Structure of the 6-Dimensional Hyperrectangle2026
  3. 3Combinatorial Properties of the Configuration Structure of the 6-Dimensional Hyperrectangle — Spin Classification, Configuration Enumeration, and Sign Product2026
  4. 4Geometric Classification of Spin Derived from the Orientation Structure of the 5-Dimensional Orthoplex2026
  5. 5Set-Theoretic Structure and Combinatorial Properties of the 6-Dimensional Hypercube (v9)2026