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Cognitive Neurodynamics

, Volume 11, Issue 3, pp 283–292 | Cite as

From abstract topology to real thermodynamic brain activity

  • Arturo Tozzi
  • James F. Peters
Research Article

Abstract

Recent approaches to brain phase spaces reinforce the foremost role of symmetries and energy requirements in the assessment of nervous activity. Changes in thermodynamic parameters and dimensions occur in the brain during symmetry breakings and transitions from one functional state to another. Based on topological results and string-like trajectories into nervous energy landscapes, we provide a novel method for the evaluation of energetic features and constraints in different brain functional activities. We show how abstract approaches, namely the Borsuk–Ulam theorem and its variants, may display real, energetic physical counterparts. When topology meets the physics of the brain, we arrive at a general model of neuronal activity, in terms of multidimensional manifolds and computational geometry, that has the potential to be operationalized.

Keywords

Topology Borsuk–Ulam theorem Brain Nervous system Energetic landscape Symmetry break 

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Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.Center for Nonlinear Science, Department of PhysicsUniversity of North TexasDentonUSA
  2. 2.Department of Electrical and Computer EngineeringUniversity of ManitobaWinnipegCanada

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