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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Universal Fractional Exponent α = 6/5 as an Exact Eigenvalue of the Sephirotic Coupling Network

Authors: Freeman, Carlos W.;

The Universal Fractional Exponent α = 6/5 as an Exact Eigenvalue of the Sephirotic Coupling Network

Abstract

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.

Paper 9 of the MPFST series. Provides first-principles derivation of the universal parameter α = 1.2 as a topological invariant of the Sephirotic coupling network. All computational code included.

Keywords

universal parameter, graph Laplacian, bilateral symmetry, algebraic connectivity, coupled PDE, fractional Laplacian, spectral graph theory, MPFST, Sephirotic tree, topological invariant

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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