Standard Model Particles as Closed Walks on K_7, I: Torus-Knot Carriers, the Steane [[7,1,3]] Code, and a Closed-Form Mass Spectrum

Theory companion (Paper 21a) of the Null Worldtube (NWT) substrate-monism program. The Standard Model fermion and hadron mass spectrum is derived from closed walks on the complete graph K_7: the walk's (p,q) torus-homology class labels the Paper 6/7 quantum numbers; the carrier-knot family is the Fibonacci-indexed (2,F_n) torus-knot family with n_q = det = F_n (Murasugi) and n_q^q via SU(2) tensor power; the Paley/Fano decomposition of K_7 is identified with the Steane [[7,1,3]] stabilizer code, giving a direction-sensitive walk-to-Pauli map and a 7-qubit hardware-executable protocol. No free dimensionless parameters. Companion to Paper 21b (experiment) and Paper 22 (cosmogenesis).