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