We develop a nonlinear-systems framework in which a multiscale resonance chain is represented as a finite polyatomic clock network with geometry-dependent synchronization. The model is motivated by soft condensed biological matter, with emphasis on microtubule-associated dielectric, aromatic, and cavity-like structures. Using a Sakaguchi–Kuramoto-type network, we introduce curvature...
Psychedelic states offer a useful setting for studying changes in large-scale brain organization. Here, we applied Topological Data Analysis (TDA) to resting-state fMRI functional connectivity from nine participants scanned before and after Ayahuasca ingestion. Vietoris–Rips filtrations were constructed from correlation-derived dissimilarity matrices, and persistent entropy was used to quantify...