Quark Generations as Icosahedral Boundary Excitations: Particle Masses from Twin Prime Resonance

This document supersedes Paper 18 v1.0 (Quark Generations as Icosahedral Boundary Excitations, January 2026). The original paper proposed quark generations as elastic-proton boundary excitations at icosahedral thresholds 19, 30, and 42, with quark and electroweak boson masses derived from twin-prime product arithmetic. Under the methodological discipline subsequently developed in the programme — Pattern 39 (the distinction between DERIVED and OBSERVED claims) and Pattern 75 (null-hypothesis discipline for numerical matches), with pre-registered testing — the original mechanism does not survive: numerical matches were reported without null distributions, the W boson formula contained an undefined factor-of-40…