K-Flow and the Conditional Uniqueness Theorem for the Three-Step Condensation Path An Algebraic Filtering Framework in a Finite Candidate Set

This paper studies a local and explicit question: after the minimal noncom mutative neck algebra, if algebraic structure is allowed to be released through finitely many condensation layers, which three-step condensation paths can si multaneously satisfy representation capacity, center stability, zero redundancy, low cross-coupling, correct terminal gauge-Lie hierarchy, and absence of simple group quark-lepton bridges? The paper does not attempt an unconditional clas sification of all fusion cate