Ne'eman's Theorem

Ne'eman's Theorem states that if a group of transformations (like symmetries) acts on an object, and certain conditions are met, the ways these symmetries can be broken down into simpler, fundamental parts are unique. In physics, especially in particle physics, it means that the ways a larger symmetry can be subtly broken down into smaller ones are well-defined and do not overlap ambiguously. This helps scientists understand and categorize fundamental forces and particles by clarifying how complex symmetries relate to their simpler components.