Fractal raws li ib tug mystical kos npe rau hauv Lavxias teb sab kab lis kev cai

2024 Tus sau: Seth Attwood | [email protected]. Kawg hloov kho: 2023-12-16 16:06

Nyob rau hauv tsab xov xwm no, lub fractal yog positioned raws li ib tug archetypal qauv ntawm kev xav, raws li zoo raws li ib tug cim cim nyob rau hauv pej xeem kab lis kev cai. Cov piv txwv ntawm fractal qauv nyob rau hauv cov qauv ntawm Lavxias teb sab tsoos kos duab yog muab, cov kev soj ntsuam ntawm uas characterizes lub fractal raws li ib tug kos npe rau ntawm mystical, dawb ceev thiab lwm yam ntiaj teb no.

Fractal (los ntawm Latin "fragmented", "tawg", "irregular in shape"; lub sij hawm tau qhia los ntawm Benoit Mandelbrot hauv 1975) yog ib qho qauv tsim los ntawm kev tawg thiab kev sib piv ntawm tus kheej; uas yog, tsim los ntawm ntau qhov chaw, txhua qhov zoo ib yam li tag nrho daim duab tag nrho: "… yog tias ib feem ntawm fractal nce mus rau qhov loj ntawm tag nrho, nws yuav zoo li tag nrho, lossis raws nraim, los yog, tej zaum, tsuas yog nrog me ntsis deformation" [8, p. 40].

Nws yog kev cai los koom nrog tus qauv fractal ntawm tus kheej lub koom haum nrog cov niaj hnub scientific paradigm - synergetics, nyob rau hauv uas cov kev cai dav dav ntawm cov txheej txheem ntawm kev hloov ntawm chaos mus rau kev txiav txim thiab vice versa yog kawm. Txawm li cas los xij, cov qauv zoo ib yam li fractals kuj pom nyob rau hauv cov ntaub ntawv ntawm cov kab lis kev cai qub (piv txwv li, hauv pob zeb paintings ntawm megalithic era thiab ornaments ntawm Ancient World). Nws yuav tsum raug sau tseg tias qee cov kws tshawb fawb tau teeb tsa qhov sib piv hauv lawv cov haujlwm ntawm kev sib koom ua ke niaj hnub thiab kev xav archaic.

Yog li, Yu. V. Kirbaba hauv nws daim ntawv tshaj tawm ua haujlwm sau tseg: "Lub hauv paus chiv keeb ntawm kev sib koom ua ke, raws li tau hais ntau zaus, cuam tshuam nrog cov theem qub tshaj plaws ntawm kev tsim kab lis kev cai. Cov qauv ntawm tus kheej lub koom haum tau tsim nyob rau theem ntawm kev tsim mythological nco qab. [6, p. 104]. Nws tau muab sau tseg tias lub hauv paus ntawm ancient cosmogonic mythology yog lub hauv paus ntsiab lus ntawm nws tus kheej-zoo sib xws, uas manifests nws tus kheej nyob rau hauv peb archetypal qauv: 1) concentric voj voog; 2) ntoo qauv; 3) kauv [6].

Thiab M. V. Alekseeva sau tseg hauv nws tsab xov xwm hais tias "lub ntiaj teb saib ntawm peb cov poj koob yawm txwv, hais nyob rau hauv ritual ua, nyob rau hauv lub ntsiab ntawm niaj hnub scientific tswv yim txog kev loj hlob ntawm lub ntug nyob rau hauv lub moj khaum ntawm txoj kev xav ntawm nonlinear systems" [1, p.137].

Raws li qhov no, peb xav tias fractal yog universal, archetypal qauv ntawm kev xav: "Synergetic cov hauv paus ntsiab lus thiab cov qauv, raws li nws yog tam sim no los ua tseeb, yog universal pawg ntawm kev xav, thiab yog li ntawd yog xav txog nyob rau hauv lub feem ntau ancient txheej ntawm tib neeg kab lis kev cai." [6, p. 104]…

Yog li, fractal kev tsim kho kuj pom nyob rau hauv cov qauv ntawm cov pej xeem pej xeem kos duab: nyob rau hauv ornaments, round seev cev, nkauj, legends, rituals, amulets, thiab lwm yam. Cia peb txheeb xyuas qee qhov monuments ntawm Lavxias teb sab pej xeem kos duab txhawm rau txiav txim siab cov xwm txheej thiab lub ntsiab lus ntawm archetypal fractal cov cim hauv Lavxias teb sab kab lis kev cai.

Fern lus dab neeg

Cov lus dab neeg ntawm fern tuaj yeem suav hais tias yog ib qho piv txwv ntawm qhov tseem ceeb ntawm cov qauv fractal hauv cov tswv yim pej xeem. Lub fern yog ib qho piv txwv tseeb ntawm lub ntuj stochastic fractal. Muaj kev ntseeg nrov hais tias nyob rau hnub ua ntej ntawm hnub so ntawm Ivan Kupala (lub caij ntuj sov solstice, ciam teb lub sij hawm) ib tug fern blooms thaum hmo ntuj: "nws ci ntsa iab nrog cov nplaim taws thiab illuminates cheeb tsam; thiab tau txais kev nplua nuj "[3, p.78]. Ntawm no peb pom yuav ua li cas ib tug fractal qauv yog endowed nrog ib tug tshwj xeeb mystical xwm txheej: nrog nws cov kev pab, koj muaj peev xwm unravel lub mysteries ntawm lub ntug.

Divination nrog iav

Cov neeg ntseeg hais tias nrog kev pab los ntawm tshwj xeeb ritual ua - qhia hmoov zoo - nws muaj peev xwm mus provoke kev sib cuag nrog lwm yam ntiaj teb no rog, raws li ib tug tshwm sim ntawm uas ib tug neeg kawm txog nws lub neej yav tom ntej. Ib qho kev nthuav dav tshaj plaws nyob rau hauv Lavxias teb sab kab lis kev cai yog kev qhia txog hmoov zoo nrog kev pab los ntawm ob daim iav: "lawv muab ob daim iav ib qho tawm tsam, … zaum ntawm ob daim iav, … saib zoo rau hauv daim iav tso rau pem hauv ntej. nws" [3, p. 23]. Interestingly, yog hais tias peb muab ob daim iav rov qab rau ib leeg, peb tau rov qab ib tug fractal, concentric duab. Xws li "fractal txoj kev hauv tsev", tsim los ntawm kev xav ntawm daim iav hauv daim iav, zoo li peb cov poj koob yawm txwv lub portal mus rau lwm lub ntiaj teb, uas kuj ua tim khawv rau cov xwm txheej dawb ceev ntawm daim ntawv fractal hauv kev ntseeg nrov.

Kev koom tes

Lwm daim ntawv ntawm kev sib raug zoo ntawm lub ntiaj teb thiab lwm lub ntiaj teb yog kev sib koom ua ke: "Tus txiv neej thaum ub tau tso siab rau lub peev xwm ntawm cov lus ua rau tsiaj thiab tib neeg, ntawm ntuj thiab supernatural rog. to taub, los yog yuav ua txhaum los ntawm qhov tsis ncaj ncees lawm intonation "[11, p.70]. Yog li, hauv cov tswv yim ntawm peb cov poj koob yawm txwv, kev koom tes yog ib qho kev sib tham ncaj qha nrog lwm lub ntiaj teb rog thiab tau tsim raws li qee txoj cai. Tus kws tshawb fawb thiab lus Askiv E. A. Bondarets sau tseg tias nyob rau hauv txhua qhov kev koom ua ke lub ntsiab tswj ntawm "toponymic conspiracy space" yog compositionally teem: "Nyob rau hauv lub hiav txwv, nyob rau hauv dej hiav txwv, ntawm ib tug kob, ntawm ib tug brawler, yog ib tug dawb-combustible pob zeb-Alatyr" [2, p..58]; "muaj ib tug dawb huv okyan-pob zeb, ib tug liab maiden zaum ntawm ib tug dawb huv okyan-pob zeb …" [3, p.291]. Yog hais tias peb sawv cev rau qhov chaw schematically, ces peb tau concentric voj voog: hiav txwv-okiyan - lub voj voog 1, kob-brawler - lub voj voog 2, pob zeb-Alatyr - lub voj voog 3, liab maiden - lub voj voog 4.

Lullabies

Nco ntsoov tias ntau tus neeg Lavxias teb sab lullabies muaj cov qauv sib xyaw. Mukhamadieva D. M. qhov no yog yuav ua li cas nws piav txog cov concentric qauv ntawm cov figurative kab ntawm lullabies: nyob rau hauv qhov chaw yog tus me nyuam nws tus kheej; ces niam, pog, txiv, tus nais maum - nws lub voj voog ze tshaj raug muab tso rau; Nyob rau hauv lub voj voog tom ntej no muaj cov duab ntawm domestic, phooj ywg, zoo tsiaj (miv, tshis, nas); nyob rau hauv lub voj voog tom ntej no muaj cov neeg txawv teb chaws, cov tsiaj qus, cov tsiaj phem (dais, hma); nyob rau tom kawg - lwm haiv neeg (Buka, Sandman, thiab lwm yam) [9]. Xws li ib tug "concentric" lullaby ua ib tug talisman rau tus me nyuam [7, p.253]: nws yog muab tso rau hauv qhov chaw thiab, raws li nws yog, surrounded los ntawm ob peb lub voj voog inscribed nyob rau hauv ib tug, uas yog tsim los tiv thaiv nws los ntawm kev phem. zog.

Ornamental paj ntaub

Ntau cov ntaub ntawv tau txais txiaj ntsig nrog kev tiv thaiv lub ntsiab lus ntawm cov neeg: nkauj, kev koom tes, ornaments, round seev cev, thiab lwm yam. Qhov dav tshaj plaws, niaj hnub amulet yog ornamental paj ntaub ntawm cov khaub ncaws, uas, raws li peb cov poj koob yawm txwv, yuav tsum coj hmoov zoo thiab kev vam meej rau nws cov tswv, los tiv thaiv lub hwj chim ntawm kev phem quab yuam: lub ancient dawb ceev lub ntsiab lus tau dhau los ntawm ib tiam dhau ib tiam., ua tib zoo saib cov "canons" "[5, p.10]. Nws yog ib qho tseem ceeb uas muaj ntau cov qauv qub ntawm Slavic ornamentation, siv rau hauv paj ntaub, luam ntaub, phab ntsa paintings, thiab lwm yam. muaj cov khoom ntawm fractal - nws tus kheej zoo sib xws thiab fractional dimension. Yog li, ntawm cov qauv ntawm cov tsoos pej xeem ornament nthuav tawm hauv phau ntawv los ntawm S. I. Pisarev, peb pom archaic qauv ntawm concentric thiab nws tus kheej zoo sib xws shaping [10]. Raws li M. Kachaeva, cov kab sib dhos ntawm Lavxias teb sab tsoos tsoos tsho muaj cov qauv muab kauv: "Cov qauv ntawm cov kab sib dhos yog nteg los ntawm txoj hauv kev ntawm daim duab … Yog li, cov duab ntawm lub cim tsuas yog qhia txog qee qhov ntawm lub suab nrov. kab, uas tsis muaj dab tsi ntau tshaj li qhov seem ntawm ciam teb superimposed rau ib leeg. 38] ib.

Round seev cev

Fractal qauv - spirals thiab concentric voj voog - yog kom meej meej manifested nyob rau hauv ib txwm pej xeem puag ncig seev cev. Thawj hom nyob rau hauv cov kev cai sib txawv hauv zos muaj lub npe txawv: zaub qhwv, pob, qwj, thiab lwm yam. Raws li koj tuaj yeem twv los ntawm lub npe, tus qauv ntawm kev seev cev ib puag ncig yog kauv - ib qho duab nrog cov qauv fractal. Hom thib ob - concentric round seev cev - yog ib qho yooj yim thiab feem ntau: tib neeg feem ntau seev cev hauv ob lub voj voog, thaum cov txiv neej nyob hauv nruab nrab lub voj voog, thiab cov poj niam nyob rau sab nrauv, thiab vice versa [4, p.28]. Yog li, kev seev cev puag ncig yog ib qho kev tiv thaiv zoo nkauj hauv cov lus tsa suab: "… round dances puag tag nrho tus neeg, qhia nws mus rau qhov kawg ntawm lub ntiaj teb" [11, p.54]. Ntawd yog, dhau los ntawm "fractal zog" peb cov poj koob yawm txwv zoo li txuas nrog cov kev cai thoob ntiaj teb ntawm lub ntiaj teb, vim hais tias qhov kev rov ua dua thiab zoo sib xws ntawm fractals kuj tshwm sim nyob rau hauv lub suab nrov ntawm cov txheej txheem ntuj tsim (kev txav ntawm lub cev ntuj ceeb tsheej; kev hloov ntawm lub caij nyoog., nruab hnub thiab hmo ntuj; periodicity ntawm ebb thiab ntws; alternation ntawm maxima thiab minima ntawm hnub ci kev ua si; electromagnetic nthwv dej, thiab lwm yam), thiab nyob rau hauv tej yam ntuj tso uas ib txwm ncig peb cov poj koob yawm txwv (ntoo, nroj tsuag, huab, thiab lwm yam).

Los ntawm cov saum toj no, nws ua raws li peb cov poj koob yawm txwv txuas nrog tshwj xeeb dawb ceev thiab txawm mystical lub ntsiab lus rau cov duab uas peb niaj hnub hu ua fractals. Kev siv cov cim fractal yog tsom los ua ib hom kev sib tham nrog lub Ntiaj Teb, thaum lub sij hawm tus neeg yuav tsum tau txais kev paub thiab siv nws los khaws tib neeg. Tej zaum peb cov poj koob yawm txwv intuitively xav nyob rau hauv fractals ib tug tej yam kev cai universal thiab lub ntsiab ua rau lub ntiaj teb no sib haum xeeb.

Yog li, nyob rau hauv Lavxias teb sab kab lis kev cai, archetypal fractal cov cim qhia yog txuam nrog rau cov pawg ntawm lwm yam ntiaj teb no, tiv thaiv, dawb ceev thiab mystical.