Holographic Saturation II: Shared parent action, division-algebraic gauge structure, entropic symmetry breaking, and orbit-channel closure.

We develop the internal sector of $I=\\sqrt{s}\\,e^{i\\theta}$ from saturation,the Born phase, Clifford transport and binary free energy. Under the statedmaximal-capacity completion, the Cayley--Dickson tower selects the octonionicrung; a fixed complex direction gives $G_2\\to SU(3)$, while the quaternionicrung gives global $U(2)$ electroweak kinematics, the Higgs bidoublet, hyperchargeratio and custodial $SO(4)\\to SU(2)_{\\rm diag}$. Fisher--canonical closure gives$m_{H,\\rm curv}^{(0)}=v/2=123.11\\,$GeV, $\\kappa_3=1$, $\\kappa_4=11/3$.Reciprocal-resolution matching fixes the FRG boundary without a Higgs-mass fit;the global Litim-LPA flow gives $m_{H,\\rm curv}^{\\rm FRG}\\simeq125.1\\,$GeV,with sub-GeV LPA$'$ sensitivity. The same flow predicts$(\\kappa_3,\\kappa_4,\\kappa_5)\\simeq(1.0272,3.9348,1.52)$ and a quartic $4.16$times the same-flow mass/VEV-matched control. The additional Fisher--KL one-loop pole difference relative to an identical-UVreference remains an independent bookkeeping theorem. Completing the commonmomentum dependence with the minimal Fisher--canonical, twice-subtractedpinch-technique kernel gives$M_H^{\\rm pole,1L}\\simeq125.26\\,$GeV without a Higgs-pole input or an additionalcontinuous coefficient. This is an explicit one-loop/minimal-completion poleprediction; common higher-order electroweak/QCD and all-order vertex-FRGprecision are not claimed. The leading scalar thermal tadpole/curvaturecoefficients are explicit. The Clifford--Fock construction gives an anomaly-free sixteen-state generationand unique right-handed Majorana invariant. The Hopf lift by$H^3=\\mathcal O(3)$ gives three same-chirality zero modes, total index $48$ andno vectorlike partners in the canonical completion. Kac--Birkhoff return gives$\\beta=3\\sqrt2/\\alpha_Z=542.7610$ and exact $t:c:u$ overlap ratios; theresolution-faithful lift fixes $Y_U(k_F)=\\sqrt2g_2(k_F)$. Joint RG--FRG matchingthen gives $M_t^{\\rm match}=172.3693$ GeV and$m_{H,\\rm curv}^{\\rm FRG}=125.146$ GeV without a quark-mass normalisation.The physical lift, complete fermion pole matching and non-up flavour remainconditional/open. For the projected kinetic completion,$\\overline P_T=(7/8)I_8$, $\\mathcal T_8=(8/7)f^4$, and the two determinantorientations give $(16/7)f^4$ for Part~III. Sector weights obey$S_i=\\kappa_i\\alpha_Z^{N_i}$ with $(N_i)=(3,13,16)$ and$(\\kappa_\\sigma,\\kappa_\\Phi,\\kappa_\\psi)=(1/4\\pi,1,2)$; stationarity fixes thecorresponding chemical tilts. Thus $s_0=\\alpha_Z^3/(4\\pi)=3.80\\times10^{-8}$,while electroweak and colour channels reproduce the stated SPARC normalisationand QCD string scale without sector-specific continuous prefactors. The Born phase fixes the internal complex and timelike spacetime directions;non-zero charge selects a unique stable timelike branch without altering$G_2\\to SU(3)$. The constrained parent action has one physical matter/photon/tensor metric and four propagating degrees of freedom. Gauge kinematics,representations, anomaly cancellation, orbit measure and breaking are derivedor checked at the stated tier. Confinement dynamics, down/leptonic flavour andmixing, full fermion pole matching and a propagating chiral substrate remainopen; Part~I independently yields the GR near-zone PPN coefficients.