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

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Authors: Carlos Freeman
Cited by: 2

Abstract

GPU-accelerated eigendecomposition on microtubule lattices with up to 9,150 nodes across five protofilament architectures (11-15 PF) shows all MT topologies converge to |λ - 6/5| < 3×10⁻⁴. The associated eigenvector is perfectly bilateral with alternating protofilament phases. Universal across 8 helical topologies and extends to fractal gel graphs. Honest negatives from dynamical tests establish the connection is topological, not dynamical. Zero free parameters.

Fields of Study & Subjects

Microtubule and mitosis dynamics Geometric and Algebraic Topology Theoretical and Computational Physics

Publication details

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