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

Key Points

• The research aims to classify Standard Model particles using a geometric structure in six dimensions.
• Expanded the hypercube framework to include a sixth axis for color labeling.
• Derived properties like color charge and quark-lepton distinction from the geometric model.
• Produced 62 Standard Model states without using free parameters.
• Successfully reproduced all 62 Standard Model states from the geometric structure.
• Derived 8 distinct gluon states based on geometric principles.
• Identified graviton placement and calculated mass as signed area.

Abstract