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Scientific monographs

Elements of dynamic science: monograph

DOI
https://doi.org/10.36074/eods.monograph-2025
Published
2025-08-01

Abstract

The monograph first task: to understand hierarchy of energies in the Universe and the principles of functioning of living energy (living organism, in particular, human, subtle energies), and then using these principles to "construct" artificial living energies (let's call them pseudo-living energies). It is possible to significantly expand the horizons of science, in particular physics, by studying the subtle energies in the Universe. For this, some aspects are proposed for consideration of Dynamic Science. self science our theory - science here acts as a space for the application of our theory in the self-format, i.e., any place of science, in particular physics, can act as a place for the "location" of the self. It contains itself (accommodates any action C) in any place of science. On the basis of mathematical uncertainties, new mathematical structures are formed, allowing us to describe processes and objects that are fundamentally not determined by conventional deterministic methods. Objective uncertainties in any case can mean manifestations of processes and objects that are fundamentally not determined by conventional deterministic methods. Many energies are indeterminate because they are based on uncertainties from the perspective of traditional science - large concentrations of specific energy in a chaotic state. The foundation of dynamic mathematics lies in working with uncertainties, which makes it possible to manipulate these indeterminate energies using direct-accumulative direct-parallel neural networks. The second task of the monograph is to construct a new mathematical apparatus for neural networks of a fundamentally new type: direct- parallel and direct-accumulative action. We construct models of singularities for singular work with them through neural networks - analogues of the human CNS. Ordinary regular work with them in ordinary science is fundamentally unable to realize their capabilities. Therefore, singular science realized on a neural network - an analogue of the human CNS - will be much more natural. Unfortunately, we do not have funding to perform the necessary experiments and the practical creation of a technical model of such a neural network. There is a need to develop an instrumental mathematical base for new technologies. The task of the work is to create new approaches for this by introducing new concepts and methods. Our mathematics is unusual for a mathematician, because here the fulcrum is the action, and not the result of the action as in classical mathematics. Therefore, our mathematics is adapted not only to obtain results, but also to directly control actions, which will certainly show its benefits on a fundamentally new type of neural networks with directly parallel calculations, for which it was created. Any action has much greater potential than its result. Social justice is fundamentally impossible as long as education (training) is based on achieving results, and not on the process. It is time for physicists to begin studying not only the manifestations of living energies, but also the living energies themselves, which are by no means expressed through objectivity and ordinary energies, although they are capable of manifesting themselves through a lower level - objectivity and ordinary energies. We, as mathematicians, offer a new corresponding apparatus for understanding nature and studying living energies. Significance of the article: in a new qualitatively different approach to the study of complex processes through new mathematical, hierarchical, dynamic structures, in particular those processes that are dealt with by Synergetics. The significance of our article is in the formation of the presumptive mathematical structure of subtle energies, this is being done for the first time in science, and the presumptive classification of the mathematical structures of subtle energies for the first time. The experiments of the 2022 Nobel laureates Asle Ahlen, John Clauser, Anton Zeilinger and the experiments in chemistry Nazhipa Valitov eloquently demonstrate that we are right and that these studies are necessary. Be that as it may, we created classes of new mathematical structures, new mathematical singularities, i.e., made a contribution to the development of mathematics.

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

REVIEWER:

Volodymyr PASYNKOV - PhD of physic-mathematical science, assistant professor of applied mathematics and calculated techniques department of «National Metallurgical Academy», Ukraine.

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

     Dedicated to Carlos Castaneda, his teachers and our math teachers.

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

CONTENTS:

Introduction

Part I. Elements of Dynamic Science
Introduction
1.1 Some aspects of Dynamic physics for Classical Mechanics
1.2 Some aspects of Dynamic physics for thermodynamics and molecular physics
1.3 Some aspects of Dynamic physics for Classical Hydrodynamics
1.4 Some aspects of Dynamic physics for Classical Electrodynamics
1.5 Some aspects of Dynamic physics for the theory of elementary particles
1.6 Some aspects of Dynamic physics for Time
1.7 Some aspects of self-type structures in Dynamic physics
      Supplement 1
      Supplement 2
1.8 Elements of Dynamic Chemistry
1.9 Elements of Dynamic Biology
1.10 Elements of Dynamic Economy
References

Part II. Dynamic uncertainties of Vprt, PrSCprt types
Introduction
A. Vprt– elements and Their Applications
Introduction
A.1 Vprt– elements, self-type Vprt-structures
A.2 Dynamic Vprt – elements, self-type dynamic Vprtstructures
A.3 FVprt – elements, self-type FVprt-structures
A.4 Dynamic FVprt – elements, self-type dynamic FVprt-structures
B. PrSCprt – elements and Their Applications
B.1 PrSCprt – elements, self-type PrSCprt - structures
B.2 PrffSCprt – elements, self-type PrffSCprt - structures
References

References

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Year of publication: 2025
Language: English
Authors: Danilishyn I., Danilishyn O.

Translation: No
Translator: -

Type: E-book
Number of pages: 573

Format: PDF (6,5 MB)
ISBN: 979-8-89898-344-4
UDC: 004:51(07)

References

  1. A.Mostowski. Constructive sets.UNIVERSITY OF WARSAW-North-Holland Publishing Company-Amsterdam. PWN-Polish Scientific Publishers-Warszawa.1969.
  2. Thomas J.Jech. LECTURES IN SET THEORY WITH PARTICULAR EMPHASIS ON THE METHOD OF FORCING. SPRINGER-VERLAG Berlin. Heidelberg. New-York, 1971.
  3. Oleksandr Danilishyn, Illia Danilishyn. Introduction to Dynamic Sets Theory: SCprt-elements and Their Applications to the Fhysics and Chemistry. JOURNAL OF PHYSICS AND CHEMISTRY, vol. 2, issue 3, pp. 1-31, March 27, 2024 https://cskscientificpress.com/articles_file/527-_article1712797848.pdf
  4. Ershov Y.L. On a Hierarchy of Sets I, Albebra and Logic, 7 (1968), 47 - 73.
  5. Ershov Y.L. ] On a Hierarchy of Sets II, Albebra and Logic, 7 (1968),15 - 47.
  6. Yrshov Y.L. On a Hierarchy of Sets III, Algebra and Logic, 9(1970), 34.
  7. Krain S.G. Linear differential equations in Banach space. M.,Science,1967 (in Russian).
  8. A.L.Dontchev .Perturbations, approximations and sensitivity analysis of optimal control systems. Sptinger-Verllag, Berlin, New York,1983.
  9. Galushkin A. Networks: principles of the theory. Hot line-Telecom. M.,2010 (in Russian).
  10. Danilishyn, I. ., & Danilishyn, O. . (2023). tS – ELEMENTS. Collection of Scientific Papers «ΛΌГOΣ», (June 23, 2023; Oxford, UK), 156–161. https://doi.org/10.36074/logos-23.06.2023.42
  11. Danilishyn , I., Danilishyn , O., & Pasynkov , V. (2023). SET1 - ELEMENTS. Grail of Science, (28), 239–254. https://doi.org/10.36074/grail-of-science.09.06.2023.38
  12. Oleksandr Danilishyn and Illia Danilishyn. Dynamic Sets S1et and Some of their Applications in Physics. Science Set Journal of Physics, 25 September 2023,1-11, 815-_ article1695707465.pdf (mkscienceset.com)
  13. I. Danilishyn, O. Danilishyn Program Operators Sit, tS, S1e, Set1. Journal of Sensor Networks and Data Communications [ISSN: 2994-6433] 2023, Volume 3 | Issue 1 | 138-143, https://www.opastpublishers.com/tablecontents/jsndc-volume-3-issue-1-year-2023
  14. Danilishyn, I., Danilishyn, O., & Pasynkov, V. (2023). THE USAGE OF SIT-ELEMENTS FOR NETWORKS. Collection of scientific papers «ΛΌГOΣ», (March 31, 2023; Zurich, Switzerland), 129-134. https://doi.org/10.36074/logos-31.03.2023.38
  15. Danilishyn, I., Danilishyn, O., & Pasynkov, V. (2023). DYNAMICAL SIT-ELEMENTS. Collection of scientific papers «ΛΌГOΣ», (March 31, 2023; Zurich, Switzerland), 116-118. https://doi.org/10.36074/logos-31.03.2023.34
  16. Danilishyn , I., Danilishyn, O., & Pasynkov , V. (2023). SOME APPLICATIONS OF SIT- ELEMENTS TO SETS THEORY AND OTHERS. Collection of Scientific Papers «ΛΌГOΣ», (May 26, 2023; Boston, USA), 166–171. https://doi.org/10.36074/logos-26.05.2023.044
  17. Danilishyn .V. Danilishyn O.V. SOME APPLICATIONS OF SITELEMENTS TO CONTINUALVALUED LOGIC AND OTHERS. Features of the development of modern science in the pandemic’s era: a collection of scientific papers «SCIENTIA» with Proceedings of the IV International Scientific and Theoretical Conference, May 19, 2023. Berlin, Federal Republic of Germany: European Scientific Platform, pp.79-84. https://previous.scientia.report/index.php/archive/issue/view/19.05.2023
  18. Oleksander Danilishin, Illia Danilishin. Dynamic Sets Theory: Sit-elements and Their Applications, 31 July 2023, PREPRINT (Version 1) available at Research Square [https://doi.org/10.21203/rs.3.rs-3217178/v1]
  19. Danilishyn, I. ., & Danilishyn, O. . (2023). VARIABLE HIERARCHICAL DYNAMICAL STRUCTURES (MODELS) FOR DYNAMIC, SINGULAR, HIERARCHICAL SETS AND THE PROBLEM OF COLD THERMONUCLEAR FUSION. Collection of Scientific Papers «SCIENTIA», (July 14, 2023; Coventry, UK), 113–119. Retrieved from https://previous.scientia.report/index.php/archive/article/view/1089
  20. D.I.Blokhintsev. Quantum Mechanics Lectures on Selected Topics. Moscow, Atomizdat,1981.
  21. Oleksandr Danilishyn, Illia Danilishyn. Introduction to Dynamic Sets Theory: SCprt-elements and Their Applications to the Fhysics and Chemistry. JOURNAL OF PHYSICS AND CHEMISTRY, vol. 2, issue 3, pp. 1-31, March 27, 2024 https://cskscientificpress.com/articles_file/527-_article1712797848.pdf
  22. Illia Danilishyn and Oleksandr Danilishyn. Dynamic Sets Set and Some of Their Applications to Neuroscience, Networks Set New Advances in Brain & Critical Care 2023, Volume 4 | Issue 2 | 66- 81. https://doi.org/10.33140/NABCC.04.02.02
  23. Oleksandr Danilishyn and Illia Danilishyn. Dynamic Sets S1et and Some of their Applications in Physics. Science Set Journal of Physics, 25 September 2023,1-11, 815-_ article1695707465.pdf (mkscienceset.com)
  24. I. Danilishyn, O. Danilishyn Dynamic Sets Se, Networks Se. Advances in Neurology and Neuroscience, 2023, Volume 6 | Issue 2 | 278-294. https://www.opastpublishers.com/open-access-articles/dynamic-sets-senetworks-se.pdf
  25. I. Danilishyn, O. Danilishyn Program Operators Sit, tS, S1e, Set1. Journal of Sensor Networks and Data Communications [ISSN: 2994-6433] 2023, Volume 3 | Issue 1 | 138-143, https://www.opastpublishers.com/tablecontents/jsndc-volume-3-issue-1-year-2023
  26. Danilishyn, I., & Danilishyn, O. (2024). Hierarchical dynamic mathematical structures (models) theory: monograph. Primedia ELaunch LLC, 272. https://doi.org/10.36074/hdmsmt.monograph-2024
  27. Danilishyn, I., & Danilishyn, O. (2024). Introduction to Dynamic Mathematics: dynamic sets, dynamic operators and their applications: monograph. Primedia ELaunch LLC, 442. https://doi.org/10.36074/itdmdsdoata.monograph-2024
  28. Danilishyn , I., Danilishyn , O., & Pasynkov , V. (2023). CONTINUAL SIT-ELEMENTS. Collection of Scientific Papers «SCIENTIA», (April 7, 2023; Pisa, Italia), 101–103. Retrieved from https://previous.scientia.report/index.php/archive/article/view/863
  29. Danilishyn І.V. Danilishyn O.V. SOME APPLICATIONS OF SITELEMENTS TO SETS THEORY. Розвиток сучасної науки: актуальні питання теорії та практики: матеріали III Всеукраїнської студентської наукової конференції, м. Харків, 19 травня, 2023 рік / ГО «Молодіжна наукова ліга». — Вінниця: ГО «Європейська наукова платформа», 2023,pp.270-272.
  30. Danilishyn , I., Danilishyn , O., & Pasynkov , V. (2023). CONTINUAL SIT-ELEMENTS AND DYNAMICAL SIT-ELEMENTS. Collection of Scientific Papers «ΛΌГOΣ», (April 28, 2023; Seoul, South Korea), 144–150. https://doi.org/10.36074/logos-28.04.2023.44
  31. Danilishyn І.V. Danilishyn O.V. CONTINUAL SIT-ELEMENTS WITH TARGET WEIGHTS. Формування сучасної науки: методика та практика: матеріали III Всеукраїнської студентської наукової конференції, м.Ужгород, 21 квітня, 2023 рік / ГО «Молодіжна наукова ліга».— Вінниця: ГО«Європейська наукова платформа», 2023 pp.105-107.
  32. Danilishyn І.V. Danilishyn O.V. MATHEMATICS SIT, PROGRAMMING OPERATORS SIT AND SOME APPLICATIONS. Інформаційне суспільство: технологічні, економічні та технічні аспекти становлення (випуск 74): матеріали Міжнародної наукової інтернет-конференції, (м. Тернопіль, Україна – м. Переворськ, Польща, 6-7 березня 2023 р.) / [ редкол. : О. Патряк та ін.] ; ГО “Наукова спільнота”; WSSG w Przeworsku. – Тернопіль, pp. 4-7. http://www.konferenciaonline.org.ua/ua/article/id-1040/
  33. Danilishyn І.V. Danilishyn O.V. THE NETWORKS SIT. Інформаційне суспільство: технологічні, економічні та технічні аспекти становлення (випуск 75): матеріали Міжнародної наукової інтернет-конференції, (м. Тернопіль, Україна – м. Переворськ, Польща, 3-4 квітня 2023 р.) / [ редкол. : О. Патряк та ін.] ; ГО “Наукова спільнота”; WSSG w Przeworsku. – Тернопіль, pp. 6-9. http://www.konferenciaonline.org.ua/ua/article/id-1060/
  34. Danilishyn , I., Danilishyn , O., & Pasynkov , V. (2023). MATHEMATICS ST, PROGRAMMING OPERATORS ST AND SOME EMPLOYMENT. Collection of Scientific Papers «SCIENTIA», (March 10, 2023; Valencia, Spain), 123–127. Retrieved from https://previous.scientia.report/index.php/archive/article/view/792
  35. Danilishyn І.V. St – ELEMENTS AND PROGRAMMING OPERATORS. Інформаційне суспільство: технологічні, економічні та технічні аспекти становлення (випуск 74): матеріали Міжнародної наукової інтернет- конференції, (м. Тернопіль, Україна – м. Переворськ, Польща, 6-7 березня 2023 р.) / [ редкол. : О. Патряк та ін.] ; ГО “Наукова спільнота”; WSSG w Przeworsku. – Тернопіль, pp.9-12. Internet address of the article on web-site: http://www.konferenciaonline.org.ua/ua/article/id-917
  36. Danilishyn, I. ., & Danilishyn, O. . (2023). VARIABLE HIERARCHICAL DYNAMICAL STRUCTURES (MODELS) FOR DYNAMIC, SINGULAR, HIERARCHICAL SETS AND THE PROBLEM OF COLD THERMONUCLEAR FUSION. Collection of Scientific Papers «SCIENTIA», (July 14, 2023; Coventry, UK), 113–119. Retrieved from https://previous.scientia.report/index.php/archive/article/view/1089
  37. Oleksandr Danilishyn, Illia Danilishyn. Introduction to Dynamic Sets Theory: Sprt-elements and Their Applications to the Fhysics and Chemistry. JOURNAL OF PHYSICS AND CHEMISTRY, vol. 2, issue 3, pp.1-31, March 27, 2024 https://cskscientificpress.com/articles_file/527- _article1712797848.pdf
  38. Oleksandr Danilishyn and Illia Danilishyn. Introduction to Section of Dynamic Mathematics: Dynamic Sets Theory: Parallel Sprt-Elements and Their Applications. J Math Techniques Comput Math (Journal DOI: 10.33140/JMTCM), Volume 3 | Issue 5 (2024), pp.1- 27. https://www.opastpublishers.com/open-access-articles/introduction-to-sectionof- dynamic-mathematics-dynamic-sets-theory-parallel-sprtelements-and-theirapplications. pdf
  39. Oleksandr Danilishyn and Illia Danilishyn. Introduction to Section of Dynamic Mathematics: Dynamic Fuzzy Sets Theory: Parallel Fuzzy Sprt- Elements and Their Applications. J Math Techniques Comput Math (Journal DOI: 10.33140/JMTCM), Volume 3 | Issue 7 (2024), pp.1- 27. https://www.opastpublishers.com/journal/journal-of-mathematical-techniques-and-computationalmathematics/ articles-in-press
  40. Oleksandr Danilishyn, Illia Danilishyn and Volodymyr Pasynkov. Intrtoduction to Section of Dynamic Mathematics: SСprt – elements and Their Applications to Physics. Sci. Set. J of Physics(2024) https://mkscienceset.com/articles_inpress/science-set-journal-of-physics
  41. Oleksandr Danilishyn, Illia Danilishyn and Volodymyr Pasynkov. Intrtoduction to section of Dynamic mathematics: Theory of singularities of the type synthesizing. J Math Techniques Comput Math (Journal DOI: 10.33140/JMTCM), Volume 3 | Issue 10 (2024), pp.1- 18. https://www.opastpublishers.com/journal/journal-of-mathematical-techniques-and-computationalmathematics/ articles-in-press
  42. Illia Danilishyn, Oleksandr Danilishyn. Dynamic Sets Sprt and Some of Their Applications to Biomedical Engineering and Biotechnology. World Congress on Biomedical Engineering and Biotechnology on the theme “Transforming Biomedical Engineering for Global Well-being”. Kuala Lumpur, Malaysia, November 25-26, 2024 https://www.timesscientificgroup.com/Biomed%20&%20Biotechnology %20Conference%20book.pdf
  43. Oleksandr Danilishyn, Illia Danilishyn and Volodymyr Pasynkov. Introduction to Dynamic operators: Lprt-elements and Applications to physics and other Their Applications. J Math Techniques Comput Math (Journal DOI: 10.33140/JMTCM), Volume 3 | Issue 11 (2025), pp.1- 16. https://www.opastpublishers.com/journal/journal-of-mathematical-techniques-and-computationalmathematics/ articles-in-press
  44. Oleksandr Danilishyn and Illia Danilishyn. Introduction to Dynamic Operators: Rprt-Elements and Their Applications. Rprt-Networks. Variable Fuzzy Hierarchical Dynamic Fuzzy Structures (Models, Operators) for Dynamic, Singular, Hierarchical Fuzzy Sets. Fuzzy Program Operators fRprt, ftprR, ffR1epr, ffReprt1. J Math Techniques Comput Math (Journal DOI: 10.33140/JMTCM), Volume 3 | Issue 9 (2024), pp.1- 26. https://www.opastpublishers.com/journal/journal-of-mathematical-techniques-and-computationalmathematics/ articles-in-press
  45. Danilishyn, I., & Danilishyn, O. (2025). Mathematical uncertainties and their applications: monograph. Primedia ELaunch LLC, 612. https://doi.org/10.36074/muata.monograph-2025