Geometric Classification of Spin Derived from the Orientation Structure of the 5-Dimensional Orthoplex / 5次元正軸体の配向構造から導かれるスピンの幾何学的分類

Key Points

• The aim is to classify spin quantum numbers and explore their implications in particle physics using a geometric approach.
• Derives classification from the orientation structure of the 5-dimensional orthoplex.
• Introduces a self-contained assumption for axis classification.
• Generalizes propositions to be scale-independent.
• Successfully categorizes various spin quantum numbers including s = 0, 1/2, 1, 3/2, 2, and 5/2.
• Establishes a framework for distinguishing between fermions and bosons.
• Details implications for force directionality and generation structures.