Elias Zafiris

Senior Research Fellow in Theoretical and Mathematical Physics
Institute of Mathematics

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University of Athens, Greece

Elias Zafris holds an M.Sc. (Distinction) in Quantum Fields and Fundamental Forces from Imperial College, University of London, and a Ph.D. in theoretical physics from Imperial College. He is author of Foundations of Relational Realism: A Topological Approach to Quantum Mechanics and the Philosophy of Nature (Lexington Books / Rowman & Littlefield, 2013), co-authored with Michael Epperson and has published research papers on the following areas: Generalized spacetime quantum theory and the decoherent histories approach to quantum theory, symmetries and exact solutions in general relativity, covariant kinematics of relativistic strings and branes, foundations of quantum physics, quantum event and quantum observable structures, category-theoretic methods in quantum physics and complex systems theories, topological localization and modern differential geometry in quantum field theory and quantum gravity. His current research focus is on the development of a functorial sheaf-theoretic approach to quantum mechanics, quantum logic and quantum gravity using concepts and techniques of mathematical category theory and algebraic differential geometry, as well as on the study of its conceptual and interpretational implications.

Statement of Research Interests

Curriculum Vitae & Detailed Publication List



Books

   

Foundations of Relational Realism: A Topological Approach to Quantum Mechanics and the Philosophy of Nature. Lexington Books / Rowman & Littlefield, 2013.

with Michael Epperson

 


Papers for Download

 
Most Recent
 
E. Zafiris, V. Karakostas, “A Categorial Semantic Representation of Quantum Event Structures,” Foundations of Physics 43 (2013)
 

E. Zafiris, A. Mallios, “The Homological Kähler-De Rham Differential Mechanism, Part I: Application in the General Theory of Relativity,” Advances in Mathematical Physics, doi:10.1155/2011/191083, (2011)

 
E. Zafiris, A. Mallios, “The Homological Kähler-de Rham Differential Mechanism, Part II. Sheaf-Theoretic Localization of Quantum Dynamics,” Advances in Mathematical Physics,doi:10.1155/2011/189801, (2011)
 
Boolean Information Sieves: A Local-to-Global Approach to Quantum Information, International Journal of General Systems 39 (8), (2010)
 
Previous Selected Papers
 

Quantum Event Structures from the Perspective of Grothendieck Topoi, Foundations of Physics 34 (7), (2004)

 
Boolean Coverings of Quantum Observable Structure: A Setting for an Abstract Differential Geomatric Mechanism, Journal of Geometry and Physics 50, 99 (2004)
 
Complex Systems from the Perspective of Category Theory: I. Functioning of the Adjunction Concept , Axiomathes 15 (1), (2005)
 
Complex Systems from the Perspective of Category Theory: II. Covering Systems and Sheaves , Axiomathes 15 (2), (2005)
 
Generalized Topological Covering Systems on Quantum Events' Structures , Journal of Physics A: Mathematical and General 39, (2006)
 
Sheaf-Theoretic Representation of Quantum Measure Algebras , Journal of Mathematical Physics 47, (2006)
 
Category-Theoretic Analysis of the Notion of Complementarity for Quantum Systems, International Journal of General Systems 35 (1) (2006)
 
Topos-Theoretic Classification of Quantum Events Structures In Terms of Boolean Reference Frames, International Journal of Geometric Methods in Modern Physics 3, (8) (2006)
 
Quantum Observables Algebras and Abstract Differential Geometry: The Topos-Theoretic Dynamics of Diagrams of Commutative Algebraic Localizations , International Journal of Theoretical Physics 46 (2), (2007)
 
Topos-Theoretic Relativization of Physical Representability and Quantum Gravity , gr-qc/0610113, (2007)
 
A Sheaf-Theoretic Topos Model of the Physical Continuum and its Cohomological Observable Dynamics, International
Journal of General Systems
38 (1) (2009)
 
 
 

 

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