Holographic Saturation II: Division-Algebraic Gauge Structure, Entropic Symmetry Breaking, and Orbit-Channel Closure

We develop the internal algebraic sector of the bounded saturation field introduced in Part I. The construction combines division algebras, Clifford transport, a binary configurational free energy, maximum-entropy closure, and an invariant moving-frame completion. Within an explicitly stated maximal-capacity assumption, the Cayley-Dickson sequence selects an octonionic realisation of Standard-Model gauge kinematics. A fixed complex direction reduces G2G_2G2 to SU(3)SU(3)SU(3), while the quaternionic sector yields the electroweak group in its global U(2)U(2)U(2) form. The associated Clifford-Fock module contains one anomaly-free chiral generation and a unique gauge-trivial line. Removing this line leaves a rank-fifteen active module whose determinant line is a unique gauge singlet. Complete active-channel closure therefore occurs with probability svac15s_{\rm vac}^{15}svac15. Canonical matching of the invariant octonionic moving frame fixes the vacuum density as ρvac=(16/7)f4svac15\rho_{\rm vac}=(16/7)f^4s_{\rm vac}^{15}ρvac=(16/7)f4svac15, giving ρvac1/4=2.2398\rho_{\rm vac}^{1/4}=2.2398ρvac1/4=2.2398 meV without using H0H_0H0, ΩΛ\Omega_\LambdaΩΛ, or a cosmological fit. A conditional Fock-Berezin completion realises the determinant projector through fifteen internal zero-mode pairs and makes the projected saturation-sector vacuum amplitude ultraviolet finite at one loop. The construction does not cancel the independent Standard-Model or graviton vacuum sectors, and flavour, confinement, full spacetime embedding, and all-order radiative protection remain open.