Topological Phonons in Biological Systems: From Microtubules to DNA — A Universal Biopolymer Topophononics Framework-生物体系中的拓扑声子:从微管到DNA的普适生物聚合物拓扑声子学

This paper extends the topological-phonon coupling framework to biopolymer systems, establishing the preliminary theoretical foundation of "Biotopophononics." Building upon the microtubule MTPS hypothesis, we systematically analyze the formation conditions of topological phonon solitons in three core biopolymers — microtubules, DNA, and collagen. All three biopolymers share a key physical feature: they are one-dimensional or quasi-one-dimensional polymers with periodic lattice structures, in which phonon modes are strongly coupled to localized electronic states (π-electron stacking or hydrogen-bond networks). We demonstrate that this common feature allows the φ⁶ topological soliton field theory to be naturally extended to these systems, yielding their own specific topological phonon excitations — the microtubule MTPS, the DNA double-helix topological phonon soliton (DNA-TPS), and the collagen triple-helix topological phonon soliton (Collagen-TPS). We further propose a unified phase diagram for topological phonons in biological systems, with the effective coupling constant α and the disorder parameter σ as coordinates, locating the existence regions of topological phonon solitons in different biopolymers. Experimental verification protocols focus on in vitro SAW spectroscopy, with clear falsifiable predictions given for each biopolymer.