基于铜氧化物中电荷-自旋-声子拓扑孤子的赝能隙机理与可验证的异常声学共振-Pseudogap Mechanism via Charge-Spin-Phonon Topological Solitons in Cuprate High-Temperature Superconductors with Verifiable Anomalous Acoustic Resonances

This paper extends the topological-phonon framework to cuprate high-temperature superconductors. Based on the model and the SU(2) gauge theory of the pseudogap phase, we demonstrate that strong coupling between antiferromagnetic spin fluctuations, charge degrees of freedom, and specific oxygen phonon modes within the pseudogap temperature regime engenders a novel topological collective excitation — the Charge-Spin-Phonon Topological Soliton (CSPTS). The CSPTS carries a composite topological charge of charge, spin, and phonon angular momentum, and obeys non-Abelian braiding statistics. It provides a self-consistent pseudogap formation mechanism: the pseudogap is not a simple precursor pairing but a spectral consequence of CSPTS condensation-induced topological-order freezing. The theoretical framework yields three independent, falsifiable experimental predictions: (1) a giant nonlinear acoustic resonance peak appearing at the pseudogap onset temperature , described by a quantised Duffing equation; (2) an acoustic frequency comb whose sideband spacing is proportional to the CSPTS topological charge, providing an "acoustic fingerprint" of pseudogap topological order; (3) anomalous linewidth narrowing in unconventional temperature regimes. All verification protocols employ existing commercially available surface-acoustic-wave equipment. Confirmation of the CSPTS would imply that the nearly four-decade pseudogap mystery, -wave pairing mechanism, and room-temperature superconductivity pathway in cuprates are addressed for the first time within a unified topological-phonon framework.