Livolsi, Edoardo: Geometric Dynamics of Human Olfactory Identity II - From Structural Basins to a Universal Spectral Atlas of Biological States

This work extends the geometric framework introduced in Geometric Dynamics of Human Olfactory Identity toward a general theory of biological states based on manifold geometry, structural stability, and spectral organization. Starting from high-dimensional olfactory population data, a reduced biological manifold is constructed through covariance analysis and spectral decomposition. Within this manifold, biological identity emerges as a stable geometric basin rather than as a static molecular fing