We develop the internal sector of I=√s\,eiθ 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 G₂→ SU(3), while the quaternionicrung gives global $U(2)$ electroweak kinematics, the Higgs bidoublet, hyperchargeratio and custodial SO(4)→ SU(2)diag. Methods.\ Fisher--canonical closure givesmH, curv⁽⁰⁾=v/2=123.11\,GeV, κ₃=1, κ₄=11/3.Reciprocal-resolution matching fixes the FRG boundary without a Higgs-mass fit;the global Litim-LPA flow gives mH, curvFRG125.1\,GeV,with sub-GeV LPA$'$ sensitivity. The same flow predicts(κ₃,κ₄,κ₅)(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 givesMHpole,1L125.26\,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. Results.\ The Clifford--Fock construction gives an anomaly-free sixteen-state generationand unique right-handed Majorana invariant. The Hopf lift byH³= O(3) gives three same-chirality zero modes, total index $48$ andno vectorlike partners in the canonical completion. Kac--Birkhoff return givesβ=3√2/αZ=542.7610; the parameter-free finite-channelΦ-sector completion with the pre-existing N_Φ=13 count fixes the$t:c:u$ overlap ratios. The resolution-faithful lift fixes YU(kF)=√2g₂(kF). Joint RG--FRG matchingthen gives Mₜᵐᵃᵗᶜʰ=172.3695 GeV andmH, curvFRG=125.146 GeV without a quark-mass normalisation.The physical lift and complete fermion pole matching remain conditional/open.A separate three-family type-I benchmark completion of the already allowedMajorana channel fixes a viable neutrino spectrum without modifying the gaugerunning; deriving its flavor texture geometrically, and the down/charged-leptonmixing sectors, remain open. For the projected kinetic completion,PT=(7/8)I₈, T₈=(8/7)f⁴, and the two determinantorientations give (16/7)f⁴ for Part~III. Sector weights obeySᵢ=κᵢαZNᵢ with (Nᵢ)=(3,13,16) and(κ_σ,κ_Φ,κ_ψ)=(1/4π,1,2); stationarity fixes thecorresponding chemical tilts. Thus s₀=αZ³/(4π)=3.80×10⁻⁸,while electroweak and colour channels reproduce the stated SPARC normalisationand QCD string scale without sector-specific continuous prefactors. Conclusions.\ The Born phase fixes the internal complex and timelike spacetime directions;non-zero charge selects a unique stable timelike branch without alteringG₂→ 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/charged-lepton flavour and mixing, a geometricderivation of the conditional neutrino Majorana texture, full fermion polematching and a propagating chiral substrate remain open; Part~I independentlyyields the GR near-zone PPN coefficients.
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Fabio Ruggeri (2026) studied this question.
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