6 papers
Fubini Study geometry of representation drift in high dimensional data
Arturo Tozzi
High dimensional representation drift is commonly quantified using Euclidean or cosine distances, which presuppose fixed coordinates when comparing representations across time, tra…
Hyperdisorder in tumor growth
Arturo Tozzi
Tumor growth is constrained by spatial, mechanical, and metabolic factors whose alignment progressively breaks down across cellular, mesoscopic, and tissue scales as tumors expand.…
Towards mathematical spaces for biological processes
Arturo Tozzi
Physics relies on mathematical spaces carefully matched to the phenomena under study. Phase space in classical mechanics, Hilbert space in quantum theory, configuration spaces in f…
From local defects to shear-organized biofilms in tonsillar crypts via computational simulations
Arturo Tozzi
Biofilms in human tonsillar crypts show long term persistence with episodic dispersal that current biochemical and microbiological descriptions do not fully explain, particularly w…
Low-Dimensional Interaction Spaces Impose Geometric Constraints On Collective Organization
Arturo Tozzi
Collective organization in physical, biophysical, and biological systems often emerges from many weak, local interactions, yet the resulting global structures display striking regu…
Bridging General Relativity and Quantum Dynamics Through Finite-Resource Logical Models
Arturo Tozzi, Michel Planat
A theoretical framework bridging General Relativity (GR) and Quantum Dynamics (QD) is introduced through the application of Kripke semantics and linear logic. While conventional un…