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ZENODO
Article . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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Dynamical Dimensional Reduction from Sephirotic Topology: 11 Internal Planes to 2 Effective Modes via Fractional Laplacian Freezeout

Authors: Freeman, Carlos W.;

Dynamical Dimensional Reduction from Sephirotic Topology: 11 Internal Planes to 2 Effective Modes via Fractional Laplacian Freezeout

Abstract

VERSION 2 — Corrected to use the canonical Paper 9 Sephirotic graph spectrum. All eigenvalues updated from wrong graph (v1) to canonical 24-edge graph with horizontal bridges. The spectral gap INCREASES from 0.328 to 0.458 (40% larger), making the dimensional reduction argument STRONGER. Original abstract: We show that the 11-node Sephirotic graph central to MPFST naturally produces a spectral gap in its normalized Laplacian that separates 2 light modes from 9 heavy modes, implementing a geometric analogue of Kaluza-Klein dimensional reduction without compactification. The spectral gap Δλ = 0.458 creates a mass hierarchy ratio of 2.57, ensuring that at energy scales below the gap, only the 2 light modes contribute to long-range physics — one gravitational, one gauge-like. PDE simulations confirm heavy mode freezeout by t = 3.28 PDE time units. Nonlinear coupling preserves the 2-mode effective theory up to strong coupling (g = 1.0).

v2 (2026-04-02): Corrected ALL spectrum values to canonical Paper 9 graph. Old spectrum used wrong 4-edge set. Spectral gap increased from 0.328 to 0.458 (40% stronger argument). Da'at role updated: locks α=6/5 eigenvalue rather than gap enhancement. All figures and numerical results updated.

Keywords

Tree of Life topology, normalized Laplacian, spectral gap, dimensional reduction, Sephirotic graph, Kaluza-Klein, MPFST

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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!
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