Extended Mathematics of Unreduced Dynamic Complexity: The Exact Image of Unified Reality, from the Electron to Consciousness

Andrei P. Kirilyuk (1)

1 Solid State Theory Department

The current crisis in exact description of fundamental and applied systems has the well-defined origin and rigorously substantiated resolution in the form of qualitatively extended, unified mathematical framework of unreduced dynamic complexity. It is based on the unreduced universal solution of arbitrary interaction problem revealing the new, extended qualities with respect to traditional mathematical constructions. We describe the origin of the problem, the proposed causally complete solution and its mathematical novelties confirmed by problem-solving applications in fundamental and applied sciences.

Domaines: Dynamique Chaotique [nlin.CD]; Physique Générale [physics.gen-ph]; Mathématiques générales [math.GM]; Histoire et perspectives sur les mathématiques [math.HO]

Andrei P. Kirilyuk. Extended Mathematics of Unreduced Dynamic Complexity: The Exact Image of Unified Reality, from the Electron to Consciousness. FQXi essay contest 2015 "Trick or Truth: the Mysterious Connection Between Physics and Mathematics", The Foundational Questions Institute (FQXi), Dec 2014, Decatur, GA, United States. ⟨hal-01173946v2⟩