Topological Universality of α = 6/5 in Microtubule Lattice Spectra

Read full text
Authors: Carlos Freeman
Cited by: 0
References: 2

Abstract

The fractional diffusion index α = 6/5, derived as an exact eigenvalue of the Sephirotic graph Laplacian, universally converges in the normalized Laplacian spectra of biologically accurate microtubule lattice graphs. GPU-accelerated eigendecomposition on lattices with up to 9,150 nodes across five protofilament architectures (11-15 PF) shows |λ - 6/5| < 3×10⁻⁴. The associated eigenvector is perfectly bilateral (r = +1.000) with alternating protofilament phases. Universality confirmed across eight helical topologies and fractal gel graphs. 100,000-graph null test: p = 0.058. Honest negatives reported for dynamical tests (Kramers, spectral gap, transport), establishing the connection as topological rather than dynamical.

Fields of Study & Subjects

Graph theory and applications Spectral Theory in Mathematical Physics Complex Network Analysis Techniques

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
11 March 2026
Language
EN