Peters & Tozzi’s Scientific Results: an Overview

This short manuscript summarizes the framework developed by Tozzi and Peters in the years 2015-2017. We claim that the Borsuk-Ulam Theorem (BUT), is not simply a metaphor, rather a real computational tool standing for a universal principle for physical and biological systems. Indeed, the BUT perspective allows a feature (e.g., a shape, a trajectory or an energy) located in the environment to be translated to an abstract space and vice versa. Achieving a map from one system to another enables researchers to assess and elucidate a wide range of phenomena. We provided either demonstrations or testable hypotheses related to the BUT framework in far-flung disciplines, such as neuroscience, theoretical physics, nanomaterials, computational topology, applied algebraic topology, philosophy of the mind, chaotic systems, group theory and cosmology. We collaborated with foremost scientists from Canada, China, Czech Republic, Finland, France, Hungary, Iran, Italy, Norway, Poland, Russia, Slovenia, Spain, Sweden, Turkey, United Kingdom, U.S.A.