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13 December 2022
Axioms | New Section “Hilbert’s Sixth Problem” Established

We are pleased to announce the launch of a new Section “Hilbert’s Sixth Problem” in Axioms (ISSN: 2075-1680). 

The Hilbert’s Sixth Problem, “Mathematical Treatment of the Axioms of Physics”, concerns the axiomatization of those parts of physics which are ready for a rigorous mathematical approach. Our aim is to provide a virtual forum and database for experts, publishing papers on Hilbert’s Sixth Problem that are dedicated to the most up-to-date issues and mainstream topics. Articles are expected to have original content and demonstrate clear scientific novelty. 

This Section covers all areas of Hilbert’s Sixth Problem, including but not limited to the following:

  • Axiomatization of Classical Probability and the New (Quantum) Probability: quantum mechanics; quantum theory; axiomatic approach to quantum probability; quantum computing; quantum cryptography; axiomatic treatment of probability with limit theorems for the foundation of statistical physics; the axiomatic foundation of probability; measure theory; algorithmic probability; 
  • Physical Axioms: analytic machinery (formalism); physical interpretation; Boltzmann equations; fluid equations; higher equations of hydrodynamics; Hilbert’s sixth problem in statistical mechanics and machine learning; the rigorous theory of limiting processes “which lead from the atomistic view to the laws of motion of continua”; 
  • Axiomatic Approach to: mathematical logic; algebra; functional analysis; differential equations; geometry; probability theory and random processes; theory of algorithms and computational complexity; etc. 

For more detailed information, please visit the following link: https://www.mdpi.com/journal/axioms/sections/hilberts_sixth_problem. 

We are currently recruiting Editorial Board Members (EBMs) for this Section. If you are an active researcher in this field and are passionate about publishing cutting-edge research, please contact us by email at [email protected]. Alternatively, you may wish to submit your work directly via the following link: https://susy.mdpi.com/user/manuscripts/upload/?journal=axioms. 

Axioms Editorial Office

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