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

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