The Crystal of the Creature II: Baryon Saturation and the Geometric Limit of Confinement

This publication presents the second part of the discrete fractal crystal model (STPC), expanding upon the original foundational work (available at DOI: 10.5281/zenodo.23689536). In this continuation, we scale the discrete lattice to N=4 (4681 nodes) to investigate the formation of baryons. By solving the non-linear field equations (Q-balls) for a single structural unit within the 4681-node lattice, we demonstrate that the baryon state reaches a strict saturation limit. Key findings of Part II: The 4681-node lattice confirms the fractal spectrum prediction with the lowest non-zero eigenvalue at λ1=0.00677. The energy of the localized baryon state reaches a global minimum at exactly Q≈580. The chemical potential μ crosses zero at Q≈584, which defines a pure geometric limit of confinement. Beyond this threshold (Q>584), the localized state becomes unstable, leading to a phase transition into a uniform background (a geometric analog of quark-gluon plasma). Fragmentation of 585-units is predicted to occur at Q=585.0, governed by the geometric parameter b/d=877.5.