Published March 7, 2026
| Version v3
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The Universal Fractional Exponent α = 6/5 as an Exact Eigenvalue of the Sephirotic Coupling Network
Description
Multi-Plane Field Syntergic Theory (MPFST) employs a universal fractional exponent α = 1.2 in its coupled PDE framework. This single parameter has successfully predicted anomalies across nine independent physical domains. Here we prove that α = 6/5 is an exact eigenvalue of the normalized graph Laplacian of the 11-node Sephirotic Tree of Life — the network topology that defines MPFST's inter-plane coupling structure. The eigenvalue is exact to machine precision (|λ₆ - 6/5| < 10⁻¹⁵) and corresponds to the bilateral symmetry mode in which the Mercy and Severity pillars oscillate in antiphase while the middle pillar (Balance) remains at zero. This eigenvalue appears only when the hidden Sephira Da'at is included as the 11th node. This result elevates α from an empirical parameter to a topological invariant of the theory's own coupling network, achieving zero free parameters.
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