Matter as Frozen Phase Boundaries: Quark Structure, Fractional Charges, and Color Confinement from Tetrahedral Defects in a K = 12 Vacuum Lattice

We propose that baryonic matter consists of frozen remnants of the pre-crystallization

vacuum phase, trapped as topological defects within a K = 12 Face-Centered Cubic

(FCC) lattice [2]. In the Selection-Stitch Model (SSM), the early universe undergoes

a thermodynamic K = 4 →K = 12 phase transition [3]. Incomplete crystalliza-

tion leaves isolated K = 4 tetrahedral voids permanently embedded in the K = 12

bulk. We demonstrate via computational crystallography that these tetrahedral de-

fects recover the exact properties of quark structure. Each void is bounded by four

cuboctahedral cells committing three bonds each, yielding the K + 1 = 13 struc-

tural nodes required by the 1836 proton mass formula [4]. The FCC cubic symmetry

splits the four bounding vertices into one corner and three face-centers, producing

a strict 1 + 3 valence-anchor decomposition. Evaluating the bond asymmetry ra-

tios between these sites recovers the +2/3 and−1/3 fractional charges [6]. This

assignment generates the uud proton, the udd neutron via spatial inversion, and

naturally predicts the uuu (∆++) resonance. The internal tetrahedral bonds map

exclusively through non-bipartite triangular faces, enforcing color confinement by

preventing electromagnetic flux separation [10]. Every result follows strictly from

FCC geometry without adjustable parameters.