[v1.7] Qaether 이론의 스핀, 전하, 그리고 색전하 정의 (in FCC)
[Pre-print version]
We present a unified lattice framework in which spin, electric charge, and color charge emerge from the topology of the face–centered cubic (FCC) lattice. The coexistence of triangular and square minimal loops in the FCC skeleton provides the minimal structure supporting both SO(3) parity and U(1) phase. A quaternionic SU(2) field at each site encodes spin orientation and local phase; its internal U(1) projection produces quantized electric charge in units of e/6. On the same lattice, combinatorial classes of plaquette phase quadruples under the dihedral group D4 define color charge as SU(3) weight–type invariants. The Z12 torsion of the FCC 2– skeleton fixes the common quantization scale π/6, ensuring coherence among spin, charge, and color. Baryon and meson color neutrality follow naturally from the closure rules of octahedral cells.
