A SUMMARY OF MY IDEAS & two short movies

A SUMMARY OF MY IDEAS & two short movies

 

 

 

My teachers used to tell me: “Tozzi, be on focus”.  But I never liked “to be on focus”: I like a lot to play with hidden, unexpected multidisciplinary relationships.  Despite my harsh criticism to current attitudes toward scientific issues, I never take a full sceptic turn: I engage in “pragmaticistic” active outreach, showing how fresh interpretation of everlasting questions sheds new light on countless scientific issues.  Here I try to provide scientific… questions to classical answers through the unusual format of the Quodlibets.  The Medieval quodlibetal (quodlibet= any whatever) questions consisted in raising issues or objections about anything from basic Christian issues to heretic controversies.  Open to a broader public - masters, students from different schools, ecclesiastical and civil authorities - these questions could be posed by any member of the audience without any prior notice.  While Medieval philosophers favoured a methodology consisting of the Aristotelian deductive logic, I will use a twofold approach to my quodlibetal questions: 1) the Galilean inductive method distinctive of the current scientific attitude; 2) a metatheoretic starting point that I term “testable rationalism”: sharp experimental previsions arising from top-down, deductive mathematical/topological approaches.  In this paper, going through physical, biological, neuroscientific and philosophical issues, I do hope that the reader will forgive me.  

 

N.B: a long list of keywords can be found in the footnotes.   

 

…and, of course, thanks to my friend James Peters and his enthusiasm.               PDF 

 

 

 

 

 

TOPOLOGY OF THE BRAIN WAVES

Novel methodological approaches to assess topological mappings and projections between biophysical phase spaces have been recently introduced in neuroscience. In this brief survey of our published manuscripts, we discuss how the “unreasonable power” of algebraic topology permits an experimentally testable top-down inquiry of the brain activity.                               PDF

 

 

 

 

A comment on my paper by NEUROSKEPTIC: The Four dimensional brain?

 

 

 

 

 

 

 

 

 

TWO USEFUL, SHORT MOVIES

 

Topology: Borsuk-Ulam theorem and its variants

A mathematical theorem stands for a general principle that explains physical and biological issues.

 

 

 

 

Our mind is multidimensional

A possible solution of the mind/body problem, based on recently published neuroscientific proofs.

My metatheoretic foundation  is what I term “testable rationalism”: experimental previsions derived from top-down, deductive mathematical/topological methods.   Here you are two CONCISE SUMMARIES of my IDEAS AND PROJECTS along with two helpful short films: Borsuk-Ulam theorem and its variants &  Our mind is multidimensional.  

 

 

 

                                                                                                                                                            

 

 

Search by subject: mathematics, logic, neural networks, physics, dynamic system theory, biology, neuroscience, medicine, economics, philosophy, literature, history

 

 

 

NOT YET PUBLISHED 

·         Tozzi A.  2024.  Novel Strategies for Tracing Animal and Human Sources of Envelope Virus Outbreaks.  Preprints.org,  DOI:10.20944/preprints202412.0165.v1.    How SARS-Cov-2 changes from an host to another.

·         Tozzi A.  2024.  Ramanujan-derived Hypergeometric Functions Describe Hidden Coupled Dynamics in Physical and Biological Systems. viXra:2405.0059  A new math (possibly) subtending quantum entanglement, Turing patterns and gomboc dynamics.

·         Tozzi A. 2024.  The death of Muwatalli II, hittite king: a cold case dating back 1272 B.C.  Zenodo.  DOI 10.5281/zenodo.11110823   Was an ancient king murdered by his relatives?

·   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.

·         Tozzi A, Venditti C. 2024. Flexed hand posture to prevent primitive Raynaud's phenomenon's symptoms. Zenodo. https://doi.org/10.13140/RG.2.2.33094.28485

·         Tozzi A.  2024.  Medical Judgement in Data-lacking Contexts.  viXra:2405.0110  When scientific articles are lacking, is it time to use logic, emotions, cognitive bias to make a diagnosis?

·         Tozzi A, Venditti C. 2024. Flexed hand posture to prevent primitive Raynaud's phenomenon's symptoms. Zenodo. https://doi.org/10.13140/RG.2.2.33094.28485   From pure math to medical applications

·         Tozzi A. 2024.  Towards a High Genus Cosmic Manifold. https://vixra.org/abs/2410.0081.   The universe like a Swiss cheese dotted with holes: from topology to the ensuing physical outcomes

·         Tozzi A.  2024.  Sansevero Chapel's Decoro Sculpture In Light Of Ripa's Iconography. Researchgate DOI: 10.13140/RG.2.2.12718.73287.  What does the Decoro’s right hand, bent behind the back, conceal between the fingers? 

·         Tozzi A.  2024.  Picard-Fuchs hypergeometric manifolds: a new lens on quantum entanglement.  DOI: 10.13140/RG.2.2.29257.56163  Entangled particles as coupled subsystem with Hamiltonian constraints. 

·         Tozzi A.  2024.  Stokes’ Theorem for Spiral Paths. Qeios, https://doi.org/10.32388/N4ZBMB  A versatile theorem with applications in physics and biology

·       Tozzi A.   2025. Monte Carlo simulations predict distinct real EEG patterns in individuals with high and low IQs.  BiorXiv, doi: https://doi.org/10.1101/2025.01.07.631738.  Intelligent people have less predictable EEG oscillations.