THERMODYNAMIC EMERGENCE: Deriving the Cuboctahedral Vacuum from Information Entropy

The Selection-Stitch Model (SSM) relies on a specific vacuum geometry (K= 12) to resolve the Hubble

Tension. This paper addresses the fundamental critique: Is this geometry arbitrary? By mapping the

"packing" of quantum information to the Sphere Packing Problem, we utilize the proof of the Kepler

Conjecture to show that the Cuboctahedron is a thermodynamically favored ground state. We further argue

that symmetry requirements select the Face-Centered Cubic (FCC) lattice over the alternative Hexagonal

Close Packing (HCP).