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Ot ergodicheskoj gipotezy k fraktal′noj kartine mira: Rozhdenie i osmyslenie novoj paradigmy

  • Publishing country: Russia
    Language: Russian
    Author: CHajtun S.D.
    Publisher: LENAND
    Publishing city: Moskva
    ISBN: 978-5-9519-3631-8
    Publishing year: 2023
    Number of pages: 256
    Binding: Paperback

  • Nauka perezhivaet revolyuciyu, svyazannuyu s zamenoj v ee fundamente nepreryvnoj paradigmy na fraktal′nuyu (diskretnuyu). Zadacha monografii --- ustranit′ iz rekonstruiruemogo fundamenta nekotorye lakuny i nesoobraznosti. 1. V oblasti stochasticheskogo dvizheniya fazovaya traektoriya izmenyaet svoyu topologicheskuyu prirodu, perestavaya byt′ liniej. Etogo ne uchityvali ergodicheskaya teoriya i teoriya dinamicheskogo chaosa (do stadii vychislitel′nogo eksperimenta), ch′i rezul′taty peresmatrivayutsya v knige pod etim uglom zreniya. 2. Fraktaly rozhdayutsya v neobratimych sistemach i ne rozhdayutsya v obratimych. V dokazatel′stvach sushhestvovaniya neobratimogo dinamicheskogo chaosa v obratimych sistemach --- CHopfa, Krylova, Sinaya --- obnaruzhivaetsya odna i ta zhe oshibka --- otbrasyvaetsya vetv′ resheniya simmetrichnogo po vremeni uravneniya, otvechayushhaya obrashhennomu dvizheniyu. 3. Fraktaly mogut voznikat′ v izolirovannych sistemach, poskol′ku entropiya real′nych sistem ne yavlyaetsya meroj besporyadka. 4. Sleduya Mandel′brotu, otcu fraktalov, prinyato schitat′, chto fraktal′naya razmernost′ bol′she topologicheskoj, togda kak ona men′she ee. Otsyuda sleduet, chto fraktaly, raspolozhennye v nashem trechmernom prostranstve, dolzhny imet′ nulevuyu plotnost′, chego ne nablyudaetsya, poetomu real′nye sistemy tol′ko fraktalopodobny, imeya fraktal′nuyu strukturu v konechnom diapazone masshtabov. Eto vyvodit na princip dopolnitel′nosti nepreryvnogo (kineticheskogo) i fraktal′nogo opisanij, isklyuchayushhich drug druga v oblasti neobratimych processov. 5. Edinstvennoe isklyuchenie --- Vselennaya, kotoraya, iz-za ee beskonechnosti, mozhet okazat′sya nastoyashhim fraktalom s nulevoj plotnost′yu, chto oznachalo by peresmotr kosmologicheskoj kartiny mira. 6. Mir fraktalen, potomu chto eto obespechivaet maksimal′nuyu skorost′ ego evolyucii, proischodyashhej s umen′sheniem fraktal′noj razmernosti Vselennoj. Fraktaly pronikayut segodnya v samye raznye nauchnye discipliny, poetomu kniga mozhet byt′ poleznoj shirokomu krugu chitatelej, imeyushhich dostatochnoe fiziko-matematicheskoe obrazovanie.


Category: Universe
Publishing country: Russia
Language: Russian
Themes by country: Russia
Author: CHajtun S.D.
Publisher: LENAND
Publishing city: Moskva
ISBN: 978-5-9519-3631-8
Publishing year: 2023
Number of pages: 256
Binding: Paperback
Weight: 260гр.
Stage: PUBLISHED
Format: Printed book
Delivery time: 4-6 weeks
Summary

Nauka perezhivaet revolyuciyu, svyazannuyu s zamenoj v ee fundamente nepreryvnoj paradigmy na fraktal′nuyu (diskretnuyu). Zadacha monografii --- ustranit′ iz rekonstruiruemogo fundamenta nekotorye lakuny i nesoobraznosti. 1. V oblasti stochasticheskogo dvizheniya fazovaya traektoriya izmenyaet svoyu topologicheskuyu prirodu, perestavaya byt′ liniej. Etogo ne uchityvali ergodicheskaya teoriya i teoriya dinamicheskogo chaosa (do stadii vychislitel′nogo eksperimenta), ch′i rezul′taty peresmatrivayutsya v knige pod etim uglom zreniya. 2. Fraktaly rozhdayutsya v neobratimych sistemach i ne rozhdayutsya v obratimych. V dokazatel′stvach sushhestvovaniya neobratimogo dinamicheskogo chaosa v obratimych sistemach --- CHopfa, Krylova, Sinaya --- obnaruzhivaetsya odna i ta zhe oshibka --- otbrasyvaetsya vetv′ resheniya simmetrichnogo po vremeni uravneniya, otvechayushhaya obrashhennomu dvizheniyu. 3. Fraktaly mogut voznikat′ v izolirovannych sistemach, poskol′ku entropiya real′nych sistem ne yavlyaetsya meroj besporyadka. 4. Sleduya Mandel′brotu, otcu fraktalov, prinyato schitat′, chto fraktal′naya razmernost′ bol′she topologicheskoj, togda kak ona men′she ee. Otsyuda sleduet, chto fraktaly, raspolozhennye v nashem trechmernom prostranstve, dolzhny imet′ nulevuyu plotnost′, chego ne nablyudaetsya, poetomu real′nye sistemy tol′ko fraktalopodobny, imeya fraktal′nuyu strukturu v konechnom diapazone masshtabov. Eto vyvodit na princip dopolnitel′nosti nepreryvnogo (kineticheskogo) i fraktal′nogo opisanij, isklyuchayushhich drug druga v oblasti neobratimych processov. 5. Edinstvennoe isklyuchenie --- Vselennaya, kotoraya, iz-za ee beskonechnosti, mozhet okazat′sya nastoyashhim fraktalom s nulevoj plotnost′yu, chto oznachalo by peresmotr kosmologicheskoj kartiny mira. 6. Mir fraktalen, potomu chto eto obespechivaet maksimal′nuyu skorost′ ego evolyucii, proischodyashhej s umen′sheniem fraktal′noj razmernosti Vselennoj. Fraktaly pronikayut segodnya v samye raznye nauchnye discipliny, poetomu kniga mozhet byt′ poleznoj shirokomu krugu chitatelej, imeyushhich dostatochnoe fiziko-matematicheskoe obrazovanie.



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