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Relativistic quantum econophysics – new paradigms in complex systems modelling

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dc.contributor.author Saptsin, Vladimir
dc.contributor.author Соловйов, Володимир Миколайович
dc.date.accessioned 2017-07-26T15:59:05Z
dc.date.available 2017-07-26T15:59:05Z
dc.date.issued 2009-07-07
dc.identifier.citation Saptsin V. M. Relativistic quantum econophysics – new paradigms in complex systems modelling [Electronic resource] / Vladimir Saptsin, Vladimir Soloviev. – 7 Jul 2009. – 23 p. – arXiv:0907.1142v1 [physics.soc-ph]. – Access mode : https://arxiv.org/pdf/0907.1142v1 uk
dc.identifier.uri http://elibrary.kdpu.edu.ua/handle/0564/1134
dc.identifier.uri https://doi.org/10.31812/0564/1134
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dc.description.abstract This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is offered. Classical physics proceeds from the hypothesis that immediate values of all the physical quantities, characterizing system’s state, exist and can be accurately measured in principle. Non-relativistic quantum mechanics does not reject the existence of the immediate values of the classical physical quantities, nevertheless not each of them can be simultaneously measured (the uncertainty principle). Relativistic quantum mechanics rejects the existence of the immediate values of any physical quantity in principle, and consequently the notion of the system state, including the notion of the wave function, which becomes rigorously nondefinable. The task of this work consists in econophysical analysis of the conceptual fundamentals and mathematical apparatus of the classical physics, relativity theory, non-relativistic and relativistic quantum mechanics, subject to the historical, psychological and philosophical aspects and modern state of the socio-economic modeling problem. We have shown that actually and, virtually, a long time ago, new paradigms of modeling were accepted in the quantum theory, within the bounds of which the notion of the physical quantity operator becomes the primary fundamental conception(operator is a mathematical image of the procedure, the action), description of the system dynamics becomes discrete and approximate in its essence, prediction of the future, even in the rough, is actually impossible when setting aside the aftereffect i.e. the memory. In consideration of the analysis conducted in the work we suggest new paradigms of the economical-mathematical modeling. uk
dc.language.iso en uk
dc.relation.ispartofseries arXiv;0907.1142v1
dc.subject econophysics uk
dc.subject quantum econophysics uk
dc.subject quantum mechanics uk
dc.subject relativistic quantum mechanics uk
dc.subject indeterminancy principle uk
dc.subject complexity uk
dc.subject system theory uk
dc.title Relativistic quantum econophysics – new paradigms in complex systems modelling uk
dc.type Article uk


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