All Stories

  1. Model P(φ)4 quantum field theory: A nonstandard approach based on nonstandard pointwise-defined quantum fields

    Article • January 2023, American Institute of Physics

    Prof. Jaykov Foukzon

  2. The Solution of the Invariant Subspace Problem. Complex Hilbert Space. External Countable Dimensional Linear spaces Over Field \(^*\mathbb{R}_c^\#\). Part II.

    Article • Journal of Advances in Mathematics and Computer Science, December 2022, Sciencedomain International

    Prof. Jaykov Foukzon

  3. The Solution of the Invariant Subspace Problem in Complex Hilbert Space: External non-Archimedean eld *Rc by Cauchy Completion of the internal Non-Archimedean eld *R (Part I)

    Article • Journal of Advances in Mathematics and Computer Science, November 2022, Sciencedomain International

    Prof. Jaykov Foukzon

  4. Internal Set Theory IST# Based on Hyper Infinitary Logic with Restricted Modus Ponens Rule: Nonconservative Extension of the Model Theoretical NSA

    Article • Journal of Advances in Mathematics and Computer Science, August 2022, Sciencedomain International

    Prof. Jaykov Foukzon

  5. Set Theory INC# ∞# Based on Innitary Intuitionistic Logic with Restricted Modus Ponens Rule. Hyper Inductive Denitions. Application in Transcendental Number Theory. Generalized Lindemann-Weierstrass Theorem

    Article • Journal of Advances in Mathematics and Computer Science, October 2021, Sciencedomain International

    Prof. Jaykov Foukzon

  6. Set Theory INC# ∞# Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part.II) Hyper Inductive Definitions

    Article • Journal of Advances in Mathematics and Computer Science, June 2021, Sciencedomain International

    Prof. Jaykov Foukzon

  7. Set Theory INC# Based on Intuitionistic Logic with Restricted Modus Ponens Rule (Part. I)

    Article • Journal of Advances in Mathematics and Computer Science, March 2021, Sciencedomain International

    Prof. Jaykov Foukzon

  8. Erratum to Comment on “The Mössbauer rotor experiment and the general theory of relativity” [Ann. Physics 368 (2016) 258–266]

    Article • Annals of Physics, December 2020, Elsevier

    Prof. Jaykov Foukzon

  9. Singular general relativity using the Colombeau approach. I. Distributional Schwarzschild geometry from nonsmooth regularization via horizon

    Article • Physics Essays, June 2020, Physics Essays Publication

    Prof. Jaykov Foukzon

  10. Comment on “The Mössbauer rotor experiment and the general theory of relativity” [Ann. Physics 368 (2016) 258–266]

    Article • Annals of Physics, February 2020, Elsevier

    Prof. Jaykov Foukzon

  11. Colombeau Solutions to Einstein Field Equations in General Relativity: Gravitational Singularities, Distributional SAdS BH Spacetime-Induced Vacuum Dominance

    Article • November 2019, Sciencedomain International

    Prof. Jaykov Foukzon

  12. The EPR-B Paradox Resolution. Bell inequalities revisited.

    Article • Journal of Physics Conference Series, November 2019, Institute of Physics Publishing

    Prof. Jaykov Foukzon

  13. The Solution Cosmological Constant Problem. Quantum Field Theory in Fractal Space-Time with Negative Hausdorff-Colombeau Dimensions and Dark Matter Nature

    Article • Journal of Physics Conference Series, November 2019, Institute of Physics Publishing

    Prof. Jaykov Foukzon

  14. METRIC AND STRUCTURE EQUATIONS IN RELATIVISTIC CONTINUA

    Article • Radioelectronics Nanosystems Information Technologies, August 2019, Editorial Board of Journal Radioelectronics, Nanosystems, Information Technology RENSIT

    Prof. Jaykov Foukzon

  15. The Solution Cosmological Constant Problem

    Article • Journal of Modern Physics, January 2019, Scientific Research Publishing, Inc,

    Prof. Jaykov Foukzon

  16. Was Polchinski wrong? Colombeau distributional Rindler space-time with distributional Levi-Cività connection induced vacuum dominance. Unruh effect revisited

    Article • Journal of Physics Conference Series, December 2018, Institute of Physics Publishing

    Prof. Jaykov Foukzon

  17. RELATIVISTIC CONTINUUM IN SPECIFIED FORCE FIELD

    Article • Radioelectronics Nanosystems Information Technologies, January 2017, Editorial Board of Journal Radioelectronics, Nanosystems, Information Technology RENSIT

    Alexander Potapov, Prof. Jaykov Foukzon

  18. Schrödinger’s Cat Paradox Resolution Using GRW Collapse Model: Von Neumann Measurement Postulate Revisited

    Article • Journal of Applied Mathematics and Physics, January 2017, Scientific Research Publishing, Inc,

    Prof. Jaykov Foukzon

  19. New analytical approach for transition to slow 3-D turbulence

    Article • Journal of Physics Conference Series, September 2015, Institute of Physics Publishing

    Alexander Potapov, Prof. Jaykov Foukzon

  20. New exact quasi-classical asymptotic beyond WKB approximation and beyond Maslov formal expansion

    Article • Journal of Physics Conference Series, September 2015, Institute of Physics Publishing

    Alexander Potapov, Prof. Jaykov Foukzon

  21. New Scenario for Transition to Slow 3-D Turbulence Part I.Slow 1-D Turbulence in Nikolaevskii System

    Article • International Journal of Recent advances in Physics, February 2015, Wireilla Scientific Publications

    Prof. Jaykov Foukzon

  22. Distributional Schwarzschild Geometry from Non Smooth Regularization Via Horizon

    Article • British Journal of Mathematics & Computer Science, January 2015, Sciencedomain International

    Prof. Jaykov Foukzon

  23. Relevant First-Order Logic LP# and Curry’s Paradox Resolution

    Article • Pure and Applied Mathematics Journal, January 2015, Science Publishing Group

    Prof. Jaykov Foukzon

  24. New Scenario for Transition to Slow 3-D Turbulence

    Article • Journal of Applied Mathematics and Physics, January 2015, Scientific Research Publishing, Inc,

    Prof. Jaykov Foukzon

  25. Exact Quasi-Classical Asymptoticbeyond Maslov Canonical Operator and Quantum Jumps Nature

    Article • International Journal of Recent advances in Physics, November 2014, Wireilla Scientific Publications

    Prof. Jaykov Foukzon

  26. The Solution Classical Feedback Optimal Control Problem for m-Persons Differential Game with Imperfect Information

    Article • Open Journal of Optimization, January 2013, Scientific Research Publishing, Inc,

    Prof. Jaykov Foukzon

  27. Electrodynamics of a continuous medium in a system with specified structure

    Article • Physics of Wave Phenomena, April 2012, Allerton Press

    Alexander Potapov, Prof. Jaykov Foukzon

  28. New method for calculating pulsed electromagnetic fields from traveling current waves in complex wire structures

    Article • Physics of Wave Phenomena, May 2011, Allerton Press

    Alexander Potapov, Prof. Jaykov Foukzon

  29. A study of the motion of a relativistic continuous medium

    Article • Gravitation and Cosmology, October 2010, Pleiades Publishing Ltd

    Alexander Potapov, Prof. Jaykov Foukzon