First-Principles Derivation of the Sephirotic Graph: Three Axioms to α = 6/5

We derive the 11-node Sephirotic graph — the topological backbone of Multi-Plane Field Syntergic Theory — from three axioms: existence, isotropy, and self-reference. The construction proceeds through a deterministic geometric algorithm: octahedron → sphere → vesica piscis → Genesis pattern → Flower of Life → Fruit of Life → Metatron's Cube → five Platonic solids → three-pillar classification → Tree of Life. We prove d=3 is the minimum dimension supporting a complete projective frame with self-reference (Theorem 1), that the five Platonic solids are forced by Euler's formula (Theorem 2), that duality classification yields exactly three groups forming three pillars (Theorem 3), and that five connectivity principles produce the unique 24-edge graph matching the traditional Tree of Life (Theorem 4). The normalized Laplacian of this graph has eigenvalue λ₆ = 6/5 to machine precision (error < 10⁻¹⁶). Without Da'at, the closest eigenvalue is 1.222 — Da'at locks the topology to the exact rational value. The fractional exponent α = 6/5 has been shown to predict 24 physical domains with zero free parameters across neutrino oscillations, galactic rotation, EEG dynamics, gravitational waves, fusion plasma, cuprate superconductivity, and more. This paper closes the last open question: the topology is not assumed — it is the unique structure constructed from minimal axioms of awareness.