I invite you to use these ideas as you wish, in any way you find helpful.  I ask only that you kindly cite my writings, which are accompanied by a DOI for proper referencing.

 Former Adjunct Assistant Professor  Center for Nonlinear Science, Department of Physics, University of North Texas, Denton, Texas, USA  

phD  Computationally Intelligent Systems and Signals, University of Manitoba, Winnipeg, CanadaMD, Pediatrician 

MD, Pediatrician  ASL Napoli 1 Centro, Distretto 27, Naples, Italy, Via Comunale del Principe 13/a 80145            

      

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 proof

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.

 

Bibliography Arranged by Subject and Date:  Here

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