BIBLIOGRAPHY & NEWS

 

Bibliography Arranged by Subject and Date:  Here

The PDFs are available here: 2014-2024  and  here: 2025

 
 
 
I have always ignored my teachers' advice: "Tozzi, stay on focus!
I look for hidden links between disciplines and have been lucky to publish with researchers around the world. 
My approach, which I call testable rationalism, uses top-down mathematical and topological reasoning to make predictions that can be experimentally tested. A common thread in my work is that complex systems don’t evolve by chance or simple cause and effect, but through deeper patterns built into space, time and nature.  Here are two CONCISE SUMMARIES of my IDEAS AND PROJECTS along with two short videos: Borsuk-Ulam theorem and its variants &  Our mind is multidimensional.
 
 
 
 
 
 

PREPRINTS UNDER PEER-REVIEW 

  1. Koczkodaj, W. W.; Pigazzini, A.; Tozzi, A. 2024.  Geometric Properties and Hand Grasping Dynamics: a Useful Approach to Bionic Hands. Preprints 2024, 2024101202. https://doi.org/10.20944/preprints202410.1202.v1   An international team looking for topological insights in prosthetic hands.
  2. Tozzi A.  2025.  Exploring EEG Dynamics Through Markov Chain Analysis.  Qeios.  https://doi.org/10.32388/085OUMProbabilistic differences and similarities across brain areas.
  3. Tozzi A.  2025.  Levy Flight Patterns in the Cortical Architecture of Macaca mulatta.  bioRxiv 2025.01.29.635444; doi: https://doi.org/10.1101/2025.01.29.635444Rare long-range correlations among neurons in cortical slices.
  4. Tozzi A.  2025. Topological Analysis of Macaca mulatta’s Cortical Structures Through the Lens of Poincare Duality. bioRxiv doi: https://doi.org/10.1101/2025.02.02.636109. Topology helps correlating micro-and macro histological structures in primate brains.
  5. Tozzi A. 2025.  Differential Topological Analysis of Wolfram’s Elementary Cellular Automata Preprints. https://doi.org/10.20944/preprints202503.0681.v1.  Automaton classification by identifying emergent structures
  6. Tozzi A, Minella R.  2025. Optimal Transport Model for Gas Migration in Pneumatosis Intestinalis.  BioRxiv, doi: https://doi.org/10.1101/2025.03.10.642225How gas penetrates in intestinal layers in gut diseases
  7. Tozzi, A. 2025 "Fractional-Order Regularization of Quantum Vacuum Energy via the Mittag-Leffler Function" Preprints. https://doi.org/10.20944/preprints202503.1384.v1  A humble contribution to assessing the quantum vacuum catastrophe.
  8. Tozzi A. 2025. Prebiotic Resource Constraints and the Origin of Life: A Linear Logic Framework.  bioRxiv 2025.03.23.644802; doi: https://doi.org/10.1101/2025.03.23.644802   Lacking resources at the onset of life.  
  9. Tozzi, A. 2025. From Nonlinear to Linear Dynamics: A Structural Approach via Wedderburn–Artin Decomposition. Preprints. https://doi.org/10.20944/preprints202503.2397.v1 Turning nonlinear to linear paths through algebraic approaches
  10. Tozzi A, Planat M. 2025.  Bridging General Relativity and Quantum Dynamics Through Finite-Resource Logical Models.  arXiv:2503.23136  An effort to solve the unification via a logic of limited available sources. 
  11. Tozzi, A. 2025 "What Consciousness Requires: A Measurable, Physical Perspective" Preprints. https://doi.org/10.20944/preprints202505.0515.v1  Quantifying the elusive consciousness
  12. Tozzi, A. 2025 "Probabilistic Modal Logic for Quantum Dynamics" Preprints. https://doi.org/10.20944/preprints202505.1207.v1    From the cloud of possibility to the point of certainty: the quantum leap of observation.
  13. Tozzi A.  2025. Spatial Sorting of Soft and Stiff Bacteria in the Human Colon.  bioRxiv 2025.05.17.654646; doi: https://doi.org/10.1101/2025.05.17.654646   Where are Chlamidia and Escherichia located in the colon?
  14. El Fettahi A, Tozzi.. 2025.  The Geometry of Empathy: A Topological Approach to Affective Bias.  Preprints. https://doi.org/10.20944/preprints202505.1976.v1    The mathematics of human relationships
  15. Tozzi, A. 2025.  Exploring Neural Mechanisms Underlying High-Dimensional Brain Activity. Preprints. https://doi.org/10.20944/preprints202506.0434.v1   My best paper, (possibly) ever.
  16. Tozzi A. 2025. Pretopological Modal Logic for Local Reasoning and Uncertainty. Preprints. https://doi.org/10.20944/preprints202506.1902.v1   A new logical approach in contexts where only partial or locally available knowledge is relevant.
  17. Tozzi, A. 2025 "Simulating Movement Strategies and Collective Behavior of Deep-Sea Organisms" Preprints. https://doi.org/10.20944/preprints202506.2282.v1 How do flocks move in the deep-sea?
  18. Tozzi, A. 2025.  Simulating tumor mitochondrial energetics through engineering-style energy metrics.  BioRxiv, doi: https://doi.org/10.1101/2025.09.02.673700Parameters from physics to assess subcellular organelles.
  19. Tozzi, A. 2025.  Dvoretzky’s Theorem as a Geometric Framework for Protein Frustration.  Preprints. https://doi.org/10.20944/preprints202509.0673.v1  The geometry of protein folding.
  20. Tozzi, A. 2025 "Coordination Logic: Modeling Dual Description Without Causal Assumptions" Preprints. https://doi.org/10.20944/preprints202509.1602.v1A novel formal nonlinear logic.
 
 
 
LAST PUBLISHED  
 
Tozzi, A.  2025.  Exploring the influence of water micro assemblies on protein folding, enzyme catalysis and membrane dynamics. Eur Biophys J 2025. https://doi.org/10.1007/s00249-025-01747-x  An unexpected role for water in biological affairs.
 
Tozzi A. 2025. Topological Transformations in Hand Posture: A Biomechanical Strategy for Mitigating Raynaud’s Phenomenon Symptoms. International Journal of Topology 2,2: 6. https://doi.org/10.3390/ijt2020006.    Keeping the hands closed may prevent Raynaud’s symptoms.  
 
Tozzi A. 2025.  Charged Interfaces in the Brain: How Electrostatic Forces May Guide Cerebrospinal Fluid Dynamics. European Journal of Neuroscience. https://doi.org/10.1111/ejn.70145.  Can we explain the hidden dynamics of cerebrospinal fluid within the brain’s cavities?  
 
Tozzi A.  2025.  An Extended Stokes’ Theorem for Spiral Paths: Applications to Rotational Flows in Trachelospermum Jasminoides Stems and Flowers. International Journal of Plant, Animal and Environmental Sciences.  10.26502/ijpaes.4490176      A physical approach to the counterclockwise rotations of the star jasmine.  
 
Tozzi A. 2025.  Unique Lipid Signatures in Viral Envelopes Originating from Host Membranes. Next Research. https://doi.org/10.1016/j.nexres.2025.100460How SARS-Cov-2 changes from an host to another.
 
Tozzi A, Jausovec K.  2025.  Takens’ theorem to assess EEG traces: Regional variations in brain dynamics.  Neuroscience Letters.  https://doi.org/10.1016/j.neulet.2025.138352.  Frontal, parietal and occipital cortical areas display different trajectories in multidimensional phase spaces.
 
Deli E, Schoeller F, Safron A, Jain A, Tozzi A, Adrien V, Reggente N.  2025.  Feeling the Heat: A Thermodynamic Perspective on Emotions, Motivation, and Time Perception.  New ideas in psychology, 79, 101108.