First-Principles Derivation of the Sephirotic Graph: Three Axioms to α = 6/5
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Abstract
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…
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Topics
Keywords
- Axiom
- Topology (electrical circuits)
- Euclidean geometry
- Graph
- Duality (order theory)
- Conformal map
- Laplace operator
- Laplacian matrix
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